Emma tried to olve an equation. T

3
5
=
4
5
t

3
5

3
5
=
4
5

3
5
Setting up
t
=
1
Calculating

t−
5
3


t−
5
3


5
3


t


=
5
4


=
5
4


5
3


=1


Setting up
Calculating


Where did Emma make her firt mitake?

Answers

Answer 1

This would then result in the answer of t = 5/4.

Emma's first mistake was when she set up the equation. She started with:

3

5

=

4

5

t

3

5

This equation does not make sense mathematically, as it cannot be solved. The equation should have been set up as:

3

5

=

4

5

t

By setting up the equation correctly, Emma could have proceeded to solve the equation. To solve the equation, she would have needed to subtract 3/5 from both sides of the equation, resulting in

3

5

3

5

=

4

5

t

3

5

This would then result in the answer of t = 5/4.

Learn more about equation here:

https://brainly.com/question/29657983

#SPJ4

Answer 2

Answer:

calculating

Step-by-step explanation:


Related Questions

Work out the value of 3/3 × 10
Give your answer as a whole number or as a
fraction in its simplest form.

Answers

Answer:

10

Step-by-step explanation:

Since 3/3 = 1, then:

3/3 × 10 = 1 × 10 = 10

If DE=8 and EF=3, what is DF?

Answers

If  DE=8 and EF=3 then the length of DF is 8.54 units.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

DEF is a given triangle.

DE is the opposite side of the triangle.

EF is the adjacent side of the triangle.

DF is hypotenuse.

By using pythagoras theorem we find the DF.

DE²+EF²=DF²

8²+3²=DF²

64+9=DF²

73=DF²

Take square root on both sides

DF=√73=8.54

Hence, the length of DF is 8.54 units.

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ1

A rectangle has an area of 209 square yards and a height of 19 yards. What is the length of the base?

Answers

The length of the base of the rectangle is B = 11 yards

What is the Area of a Rectangle?

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangle be represented as A

Now , the value of A is

Let the base of the rectangle be represented as B

Area of rectangle A = 209 yards²

The length of the rectangle L = 19 yards

And , Area of Rectangle = Length x Width

Substituting the values in the equation , we get

Area of Rectangle = 19 x B

209 = 19 B

Divide by 19 on both sides of the equation , we get

B = 209 / 19

B = 11 yards

Hence , the length of the base of rectangle is 11 yards

To learn more about area of rectangle click :

https://brainly.com/question/15225905

#SPJ1

Express the following ratio in it's simplest form: 60cm:1,2m​

Answers

Answer:30:1

Step-by-step explanation:

60÷2

=30/1

=30:1

What is the probability that a randomly chosen college student exercises in the morning or afternoon? 0. 37 0. 39 0. 62 0. 76.

Answers

The probability that a randomly chosen college student exercises in the morning or afternoon is 0.76

We have given that the M be the event that the student exercises in the morning and A be the event that the student exercises in the afternoon.

To find : The probability that a randomly chosen college student exercises in the morning or afternoon

P(M) = 0.25+0.37 = 0.62

P(A) = 0.14+0.37 = 0.51

P(M and A) = 0.37

Now,

P(M or A) = P(M) + P(A) - P(M and A)

                = 0.62 + 0.51 - 0.37

                = 0.76

Hence, Option last 0.76 is the correct choice.

To learn more about the probability click here:

brainly.com/question/30034780

#SPJ4

In a packet of 40 skittles, 35% are red. How many skittles are not red? Explain

Answers

Answer:

26 skittles are not red

Explenation:

35%of 40 is 14 because 40*0.35=14 red skittles

total number of skittles (40)-red skittles (14)=26

Answer:

26 skittles are not red

Step-by-step explanation:

Simplify the percentage.

35% = 35/100 = 0.35

Multiply 40 by 0.35.

40 x 0.35 = 14 (This is how many skittles are red.)

Now subtract the red skittles from the packet.

40 - 14 = 26

Hence, there are 26 skittles that are not red, and 14 skittles that are red.

Find the coordinates of P so that P partitions segment AB in the part-to-whole ratio of 1 to 5 with A(-9, 3) and B(1, 8). Show your work.

Answers

Answer: To find the coordinates of P, we will use the part-to-whole ratio of 1 to 5. This means that the distance from A to P is 1/6 of the distance from A to B.

We can find the distance from A to B by using the distance formula:

d = √((x2-x1)² + (y2-y1)²)

where (x1, y1) and (x2, y2) are the coordinates of A and B, respectively.

So, the distance from A to B is:

d = √((1-(-9))² + (8-3)²) = √((10)² + (5)²) = √(100 + 25) = √125 = 5√5

Since P partitions AB with the ratio 1 to 5, the distance from A to P is 1/6 of the distance from A to B, which is (1/6) * (5√5) = √5

To find the coordinates of P, we will use this distance and the direction from A to B to find the coordinates of P.

The direction from A to B is:

(1 - (-9))/(8 - 3) = 10/5 = 2

So, the slope of line AB is 2. Therefore, the slope of line AP is -1/2 (perpendicular to AB)

We know that A = (-9, 3) and the slope of line AP = -1/2. We can use this to find the equation of the line AP:

y - 3 = -1/2(x + 9)

y = -1/2x - 3/2 + 3

y = -1/2x + 3/2

Since the point A is on the line, we can substitute the coordinates of A into the equation:

3 = -1/2*(-9) + 3/2

3 = 4.5

This is not true, so we can say that the equation is wrong.

To find the equation of line AP, we can use the point-slope form of a line:

y - y1 = m(x - x1)

where (x1, y1) is a point on the line, and m is the slope of the line.

So, the equation of line AP is:

y - 3 = -1/2(x + 9)

Now we know that the point P is on the line AP and the distance from A to P is √5.

We can use this information to find the coordinates of P by moving along the line AP by √5 units in the direction of P.

To move in the direction of P, we need to move parallel to the line, which means we need to keep the slope of the line same.

So we can move

Step-by-step explanation:

What is the multiplication rule example?.

Answers

Examples of the rules followed while applying multiplication are :

1. 0 × 9 = 0

2. 1 × 7 = 7

3. 12 × 10 = 120 , 12 × 100 = 1200.

4. 11 ×12 = 12 ×11

As given in the question,

Examples of the multiplication rules are :

1. Multiply any number by zero result is zero.

Example : 0 × 9 = 0

2. Multiply  One  to any real number result is the number itself.

Example : 1 × 7 = 7

3. Multiply any real numbers with 10 , 100 you have just add number of zero present.

Example : 12× 10 =120

12× 100 =1200

4.Order of the multiplication does not affect the result.

Example : 11 × 12 = 12 × 11

Therefore, the examples of multiplication rule  are :

1. 0 × 9 = 0

2. 1 × 7 = 7

3. 12 × 10 = 120 , 12 × 100 = 1200.

4. 11 ×12 = 12 ×11

Learn more about multiplication here

brainly.com/question/5992872

#SPJ4

What is the equation for a line that passes through the points (-5, 3) and (3, -3)

Answers

The equation for a line that passes through the points (-5, 3) and (3, -3) is y=-3/4(x+1)

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Slope of line that passes through the points (-5, 3) and (3, -3)

m=-3-3/3+5

m=-6/8=-3/4

Now let us find y intercept.

3=-3/4(-5)+b

3=15/4+b

b=3-15/4

b=-3/4

So the slope intercept form is y=-3/4x-3/4

Hence, the equation for a line that passes through the points (-5, 3) and (3, -3) is y=-3/4(x+1)

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ1

Slices of cake were sold at a bake sale.
In total, Archie sold 33 cakes and Pam sold
7³ cakes.
How many more cakes than Archie did Pam
sell?
Give your answer as a mixed number in its
simplest form.

Answers

The point that is equally spaced from a triangle's three vertices is known as the circumcenter.Triangle ABC's equilateral circumcenter is (-5, 2) .

What is the circumcenter?

The point that is equally spaced from a triangle's three vertices is known as the circumcenter.

The triangle's three vertices are all located at the center of the circle.We may insert the coordinate values for the triangle ABC's vertices A(-5,3), B(5,8), and C(-5.8) into the formulas above to determine its circumcenter.

x = (8 - 3) * (-5.8^2 + 3^2 - 5^2 - 8^2)

- (3 - 8) * (-5^2 + 3^

2 - (-5) (-5)

^2 -3^2) / 2 * (3 - (-5))

* (8 - 3) - (3 - 8) * (-5.8 - (-5))

x = (-5) (-5)

y = (3 - (-5.8))

* (-5^2 + 3^2 - (-5)^2 -3^2)

- (-5 - (-5))

* (3^2 + 3^2 - (-5.8) (-5.8)

^2 - 8^2)

/ 2 * (3 - 8) (3 - 8)

* (-5 - (-5))

- (3 - 8) * (3 - (-5.8))

y = 2

The circumcenter of triangle ABC is hence (-5, 2)

To learn more about circumcenter refer

https://brainly.com/question/30312085

#SPJ1

Is 64 a root number?.

Answers

Yes, the square root of 64 is a rational number.

and Square root of 64 is 8

Now, According to the question:

Square numbers are those numbers that are produced by multiplying an integer to itself. If n is an integer, then n2 is the square of n.

What are the examples of square numbers?

The examples for square numbers are:

[tex]6^2[/tex] = 36

[tex]10^2[/tex] = 10 x 10 = 100

[tex]15^2[/tex] = 15 x 15 = 225

[tex]12^2[/tex] = 12 x 12 = 144

Hence, Yes, the square root of 64 is a rational number. As we know that √64 = 8, a rational number.

Learn more about Square Root at:

https://brainly.com/question/3120622

#SPJ4

Aume that one unit i old on April 27 for "$231. " Determine the gro profit for April and ending inventory on April 30 uing the (a) firt-in, firt-out (FIFO); (b) lat-in, firt-out (LIFO); and (c) weighted average cot method

Answers

(a) FIFO: The oldest unit would be the one purchased on April 27 for $231. Therefore, the gross profit for April would be the difference between the selling price and the cost of the unit sold, which is not provided in the information given. The ending inventory on April 30 would be zero, as all units were sold.

(b) LIFO: The newest unit would be the one purchased on April 27 for $231. Therefore, the gross profit for April would be the difference between the selling price and the cost of the unit sold, which is not provided in the information given. The ending inventory on April 30 would be one unit, as one unit was not sold.

(c) Weighted Average Cost: The cost of the unit sold would be the average cost of all units purchased, which is $231. Therefore, the gross profit for April would be the difference between the selling price and the average cost of all units, which is not provided in the information given. The ending inventory on April 30 would be zero, as all units were sold.

To learn more about Gross Profit

Visit; brainly.com/question/18567528

#SPJ4

The newest unit would be the one purchased on April 27 for $231. Therefore, the gross profit for April would be the difference between the selling price and the cost of the unit sold, which is not provided in the information given. The ending inventory on April 30 would be one unit, as one unit was not sold.

THE FIRST PERSON TO GET THIS ANSWER RIGHT (NO NEED TO EXPLAIN) GET 10 POINTS AND BRAINLIEST

Answers

Answer:

No

Step-by-step explanation:

Notice when x increases by 1, y increases by $6?

When x goes from 1.5 to 2.5 gigabytes ( increase by 1 ), y increases from $65 to $71. That's a $6 increase for x increasing by 1 gigabyte.

In addition, when x goes from 2.5 to 3.5 gigabytes ( increase by 1), y increases from $71 to $77. This is also a $6 increase for x increasing by 1 gigabyte.

Yet...

65 / 1.5 doesn't equal 71 / 2.5

65 / 1.5 = 43 1/3

71 / 2.5 = 28.4

43 1/3 [tex]\neq[/tex] 28.4, so there is no proportion

Answer: No.

Step-by-step explanation:

      In a proportion relationship, y = kx. In other words, x times the constant of proportionality will equal y. Without a given constant of proportionality, we can use k =[tex]\frac{y}{x}[/tex]. In all instances, y divided by x should equal the same value (k). We will see if this stands true for all the given values.

      65 / 1.5 = 43.33333

      71 / 2.5 = 28.4

      74 / 3 = 24.66667

      77 / 3.5 = 22

      No. The x and y values do not have a proportional relationship.

Let $r$ and $s$ be the roots of $3x^2 + 4x + 12 = 0.$ Find $r^2 + s^2.$ When I entered the last answer, it was incorrect.

Answers

The sum of the roots of the equation is

97/9

What are the roots of the equation?

Generally, The roots of equation 3x^2 + 4x + 12 = 0 can be found by factoring or by using the quadratic formula.

By factoring: 3x^2 + 4x + 12 = 0 \Rightarrow (3x + 4)(x + 3) = 0$

Thus, the roots are

r = [tex]-\frac{4}{3}[/tex][tex]-\frac{4}{3}[/tex]

s = -3.

By using the quadratic formula:

[tex]r,s = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\ = \frac{-4 \pm \sqrt{4^2 - 4(3)(12)}}{2(3)} \\\\= \frac{-4 \pm \sqrt{-48}}{6}\\\\ = -\frac{2}{3} \pm \frac{\sqrt{-3}}{3}i[/tex]

The sum of squares of roots is

r^2+s^2 =[tex](-\frac{4}{3})^2 + (-3)^2[/tex]

[tex]= \frac{16}{9} + 9\\\\ = \frac{16+81}{9}[/tex]

= [tex]\boxed{\frac{97}{9}}[/tex]

Read more about the roots of equation

https://brainly.com/question/12029673

#SPJ1

PLEASE PLEASE PLEASE HELP ~ URGENT WILL MARK BRAINLIEST

Can someone please help me find my y - intercept for this scatter plot?

THANM YOU SO MUCH!!

Answers

Answer:

11,000 or to be more specific $11,000

Step-by-step explanation:

Well there is no equation provided so one has to go by the graph

The y-intercept is where the line intersects the y-axis

Looking at the graph we see this is at y ≅ 11,000

Of course it all depends on your best fit line that you have drawn though it looks OK

Basically the y-intercept for this graph is $11,000 which is the cost of the Prius in 2004

What is the solution to the system of equations?.

Answers

A collection of values for the variable that simultaneously satisfy each equation in a system of equations is referred to as the solution.

Typically, a system of linear equations consists of a pair of two-variable linear equations.

1. Examine substitution and elimination as two strategies for algebraically resolving systems of linear equations.

2. Use graphical representations of systems of linear equations to better grasp when these systems have a single solution, none at all, or an unlimited number of solutions.

3. Learn about algebraic techniques for counting the number of solutions to systems with two linear equations.

To learn more about substitution and elimination method link is here

brainly.com/question/26326982

#SPJ4

Why are 30 60 90 and 45 45 90 triangles called special right triangles?.

Answers

30-60-90 and 45-45-90 triangles are called special right triangles because they have specific ratios of their side lengths.

A 30-60-90 triangle is a special right triangle in which the angles measure 30 degrees, 60 degrees and 90 degrees, and the side length ratio is 1: √3: 2.

where the hypotenuse is twice the length . 45-45-90 triangle is a special right triangle in which the angles measure 45 degrees, 45 degrees and 90 degrees, and the side length ratio is 1:1: √2, where the hypotenuse is the square root of 2 times the length of each leg.

These ratios are unique and special among right triangles, which makes these triangles special. They are also easy to remember and use in various mathematical calculations. Because of this property, they are widely used in trigonometry and geometry and are very useful in solving problems related to the right triangles in general.

Additionally, these triangles have certain symmetry and specific relationships between the legs and hypotenuse, which makes it easy to calculate unknown sides or angles in a triangle. This makes them very useful in real-world applications such as construction, engineering, and design.

To learn more about the length ratio question:

https://brainly.com/question/29567506

#SPJ4

Please help. I will reward brainiest.

Answers

Answer:

C

Step-by-step explanation:

It can't be a or d because 15.75x needs to be greater than 145, so in c the how many he sells would represent the x value.

The sides of a triangle are 56, 55, and 43. Use the Pythagorean Theorem to determine if the triangle is right, acute, or obtuse.

Answers

The triangle with sides 56 , 55 and 43 is acute triangle

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ABC

Now , the base of the triangle is BC

The measure of BC = 43

The height of the triangle is AB

The measure of AB = 55

The hypotenuse of the triangle is AC

The measure of AC = 56

Now , if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

On simplifying the equation , we get

BC² + AB² > AC²

Substituting the values in the equation , we get

43² + 55² > 56²

1849 + 3025 > 3136

4874 > 3136

Hence , it is an acute triangle

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ1

What is a solution set in math?.

Answers

The set of values that satisfy a given set of equations or inequalities is known as a solution set in mathematics.

The solution set, for instance, is the subset of a set of polynomials over a ring on which all of the polynomials formal disappear (evaluate to 0).

How is a solution set obtained?

Plug in each value from the replacement set and evaluate both sides of the equation to determine the solution set from the replacement set. The value is a solution to the equation if the two sides are equal. One example: From the replacement set, choose the set with the solution 11 - 5w = 1.

What is a set of kids' solutions?

The set of values that satisfy a given inequality is called a solution set. This indicates that the inequality will be satisfied by every value in the solution set and by no other value. Example: 2x + 3  7, where x is a natural number, is the solution.

To learn more about solution set here:

https://brainly.com/question/4192789

#SPJ4

What are the 2 types of solution *?.

Answers

In mathematics, particularly in algebra, there are mainly two types of solutions for an equation: real and complex solutions.

Real solutions: These are type of solutions that are real numbers, which can be found by solving the equation algebraically. For example, if the equation is x² + 2x - 3 = 0, the real solutions are x = -1 and x = 3.

Complex solutions: These are solutions that are complex numbers, which can be found by solving the equation algebraically. Complex numbers are numbers that have both real and imaginary parts, represented by a + bi, where a and b are real numbers and i is the imaginary unit (i² = -1). For example, if the equation is x² + 1 = 0, the complex solutions are x = i and x = -i.

To know more on solutions

https://brainly.com/question/8307840

#SPJ4

(HELP QUICKLY PLEASE) Liam went into a movie theater and bought 9 bags of popcorn and 8 drinks, costing a total of $97.50. Jacob went into the same movie theater and bought 5 bags of popcorn and 4 drinks, costing a total of $51.50. Determine the price of each bag of popcorn and the price of each drink.

Each bag of popcorn costs $____
and each drink costs $_____

Answers

Answer:

Each bag of popcorn is $5.50Each bag of popcorn is $5.50 and the drink is $6.

Step-by-step explanation:

Liam went into a movie theater and bought 9 bags of popcorn and 8 drinks costing a total of $97.50. This will be:

9p + 8d = 97.50

Jacob went into the same movie theater and bought 5 bags of popcorn and 4 drinks, costing a total of $51.50. This will be:

5p + 4d = 51.50

where P = popcorn

d = drink

The equations will be:

9p + 8d = 97.50

5p + 4d = 51.50

Multiply equation i by 5

Multiply equation ii by 9

45p + 40d = 487.50

45p + 36d = 463.50

Subtract

4d = 24

Divide.

d = 24/4

d = 6

Drink = $6

Since 9p + 8d = 97.50

9p + 8(6) = 97.50

9p + 48 = 97.50

9p = 97.50 - 48

p = $5.50

Popcorn cost $5.50.

hope it helps<3

How to calculate the number of popcorn and drink?

In a movie theater, Liam spent $97.50 on 9 bags of popcorn and 8 drinks. As follows:

9p + 8d = 97.50

Jacob visited the same movie theater and spent $51.50 on 5 bags of popcorn and 4 drinks. As follows:

5p + 4d = 51.50

SOLUTION

where P = popcorn and d = drink

The equations will be:

9p + 8d = 97.50 (multiply by 5)9 x 5 = 45p8 x 5 = 40d97.50 × 5 = 487.50

5p + 4d = 51.50 (multiply by 9)5 x 9 = 45p4 x 9 = 36d51.50 x 9 = 463.50

THEN SUBTRACT45p + 40d = 487.5045p + 36d = 463.50

45p - 45p = X40d - 36d = 4d487.50 - 463.50 = 24

4d = 24 ÷ 44 ÷ 4 = 1/d24 ÷ 4 = 6

DRINK = $6

Since 9p + 8d = 97.50

9p + 8(6) = 97.509p + 48 = 97.509p = 97.50 - 48.00

POPCORN = $5.50

The cost of the drink is $6 and each bag of popcorn is $5.50.

How do you solve complex equations?.

Answers

To solve complex numbers using steps:

First, multiply the complex numbers in the same way that you would a polynomial.Make the expression simpler.Type the complete response using standard format.

A complicated equation is one that requires the use of complex numbers to solve. A number with both a real element and an imaginary part is referred to as a complex number. It is written as follows: A and B in the previous equation both denote numerical values. A complex number is, as an illustration, <4+3i>.

In order to accomplish vaguely defined goals that cannot be attained through normal behaviors, complex issue solving is a set of self-regulated psychological processes and activities. A wide range of tactics and inventive knowledge combinations are required.

Learn more about complex number Visit: brainly.com/question/5564133

#SPJ4

What do you call a 45 45 90 triangle?.

Answers

It is called an isosceles right angle triangle.

In a right angle triangle there is one right angle present.

In an isosceles triangle two sides are equal to each other.

But in isosceles right angle triangle both the conditions got fullfield i.e., there is one right angle with other two sides are equal to each other.

Properties of isosceles right angle triangle:

1. The two sides are equal to each other i.e. the base of the triangle is equal to the perpendicular of the triangle.

2. There is only one right angle and other two angles must be equal to each other.

3. The other two angles in isosceles right angle triangle must be 45 degree each.

To Know more about isosceles right angle triangle visit:

brainly.com/question/29789105

#SPJ4

What is Y form called?.

Answers

Y form is the slope-intercept form of a straight line.

Here, x and y are the coordinates of the points, m is the gradient, and b is the intercept of the y-axis.

y = mx + b is the slope-intercept form of the equation of a straight line. In the equation y = mx + b, m is the slope of the line and b is the intercept.

The value of b is equal to y when x = 0, and m shows how steep the line is. The slope of the line is also called the gradient.

To find the equation of the straight line, we use the slope-intercept form, y = mx + b, where m is the slope of the line, b is the y-intercept of the line.

We can find the equation of a line in the form of y = mx + b, if the coordinates of points forming the line are known to us.

Thus, Y form is the slope-intercept form of a straight line.

To know more about slope-intercept form visit: brainly.com/question/29146348

#SPJ4

Lines ENF are parallel the M<9 and m<5= 55

Answers

The angle measures that are correct include:

m2 = 125°

m8 = 55°

m14 = 100°

m16 = 80°

How to illustrate the angle?

An angle is a figure in Euclidean geometry made up of two rays that share a common endpoint and are referred to as the angle's sides and vertex, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles.

Here, the measurement of the angles are as follows;

m3 = 55°

m8 = 55°

m12 = 100°

m14 = 100°

m16 = 80°

m9 = 80°

m12 = 80° (opposite angles)

m10 = m11 = 100°  ( 180° - 100°)

m13 = m16 = 80°

m14 = m15  = 100°

m14 = 100°  

m16 = 80°

m5 = m8 = 55°

m2 = m3 = 125°

m2 = 180° - 55° = 125°

Learn more about angles on;

https://brainly.com/question/25716982

#SPJ1

Lines e and f are parallel. The m9 = 80° and m5 = 55°. Which angle measures are correct? Check all that apply. m2 = 125° m3 = 55° m8 = 55° m12 = 100° m14 = 100° m16 = 80°

How do you find the length of the third side of an obtuse triangle?.

Answers

The law of Sines is used to find the length of the third side of an obtuse triangle. The value of a i.e., third side length is equals to 6.065 units.

In geometry, obtuse triangles are defined as the triangles with an obtuse angle, which is an angle measuring greater than 90°. According to the law of sines of triangles if a triangle has sides a, b, and c, and angles A, B, and C, where side a has opposite angle A, side b has opposite angle B, and c has opposite angle C, then

sinA/a = sinB/b = sinC/c

The sum of all interior angles of a triangle is 180°. If we have two of the sides of an obtuse triangle, and two of the angles of an obtuse triangle, then we can use the law of sines to determine the third side of the obtuse triangle. Let's consider an obtuse triangle ABC present in above figure. We want to find the length of side a. We have, AB = 8 units , AC = 5 units, BC = a units.

∠A = 32° , ∠B =40° , ∠C = obtuse angle

=>∠C = 180°-∠A - ∠B = 180°- 32°- 40° = 108°

From above formula, sinA/a = sinB/b= sinC/c

=> sin 32°/5 = sin 40°/a = sin 108°/8

=> a = 5 sin 40°/ sin 32°

=> a = 5×0.6428/0.5299

=> a = 6.06529533874

=> a ≈ 6.065

Therefore, the length of third side is 6.065 units.

To learn more about Obtuse triangle , refer:

https://brainly.com/question/3250447

#SPJ4

f. Starting around the year 2000, there was a dramatic increase in the price of carpeting since it was a petroleum-based product. As a result, selling by the yard made it look expensive. Some stores started selling carpet by the square foot. How much would a square yard of carpet selling for $8.95 per square foot cost?

Answers

A square yard of carpet that is selling for $8.95 per square foot would cost $80.55 per square yard.

What is the conversion factor?

A conversion factor is a number used to change one set of units to another, by multiplying or dividing. When a conversion is necessary, the appropriate conversion factor to an equal value must be used. For example, to convert inches to feet, the appropriate conversion value is 12 inches equals 1 foot.

A square yard of carpet is equivalent to 9 square feet because 1 yard = 3 feet and 1 square foot = 1 foot x 1 foot.

So, to find the cost of a square yard of carpet that is selling for $8.95 per square foot, we need to multiply the price per square foot by the conversion factor of 9 square feet per square yard.

$8.95/square foot * 9 square feet/square yard = $80.55/square yard

Hence, a square yard of carpet that is selling for $8.95 per square foot would cost $80.55 per square yard.

To learn more about conversion factor visit,

https://brainly.com/question/97386

#SPJ1

Write 28+24 as a product of two factors using the GCF and the distributive property.

Answers

Answer:

28+24 can be written as a product of two factors using the GCF and the distributive property as: (12 x 2) + (12 x 2) = 12 x (2+2) = 12 x 4 = 48

What percent of the men surveyed shop online? Round your answer to the nearest whole number percent.

Answers

27.5% percent of the men surveyed shop online.

How do I calculate a percentage?

When a fraction of a whole is expressed as a number between 0 and 100, it is called a percentage.

Calculating a percentage involves dividing an item by its sum and multiplying the result by 100. (Value/Total Value)100% is the formula used to calculate percentages.

The simplest way to use percentages is to compare two numbers, with the second number being rebased to 100. Consider that we are curious about the proportion of employed women who are female.

A % is a number or ratio stated as a fraction of 100 in mathematics (from the Latin per centum, "by a hundred"). The abbreviations "pct.", "pct.", and occasionally "pc" are also used to indicate it, while the percent symbol, "%," is most frequently employed.

Store = 37 women

Total women:  37/49 = 0.75%

Men: shop equals 52

Total men: 11 /40 = 27.5%

To learn more about percentage refer to:

brainly.com/question/25550158

#SPJ1

Other Questions
A front-end loader is to load trucks with granular material that has a swell factor of 15%. If the loader has a heaped capacity of 10 cu. Yd. , calculate the total cycle time for the loader if it can move 55 cu. Yd. Of in-bank material in 1 hr. With an efficiency of 48 min. /hr classify the following conclusions based on whether the conclusion is scientific or subjective biologyScientific Conclusions:-elodea plant cells lose water when they are placed in a 5% salt solution-at sea level, pure water boils at 100 degrees Celsius-E. coli bacteria develop larger colonies at 37 degrees Celsius than at 4 degrees Celsius-more than 50% of pedestrians in Greenville wear coats when the temperature is below 4 degrees CelsiusSubjective Conclusions:-children who are not spanked act worse than children who are spanked-it is unethical to use animals for experimentation Which of the following professionals is responsible for helping keep meetings on track, reduce the chance of scope creep and increase overall productivity?Select one:a. Sponsor/Championb. Business/Process Ownersc. Black Beltd. Master Black Belte. Project Managerf. Timekeeperg. Scribe/Minute Takerh. Team Member Step 1:H2(g)+ICl(g)HI(g)+HCl(g)(slow)Step 2:HI(g)+ICl(g)HCl(g)+I2(g)(fast)Which of the following represents a rate law for the overall reaction that is consistent with the proposed mechanism? Find the measure of the base angle in an isosceles triangle that has a base length of 6 and a leg length of 5. Round your answer to the nearest whole degree. when atp loses a phosphate, energy is released and phosphates. Name the writings that came after the Vedas and explain why they are equally important Which of the following would shift the PPC curve to the left? O increase in population O genetic engineering O none of the answers is correct.O more efficient irrigation systems You are going to exercise at the indoor track. Your friend is going to exercise at the pool. What is the first step in determining where you should park to minimize the distance you both will walk? 1) At a factory the basic week is 40 hours.During a particular week Mr. Riley earned a grossWage of $513.88, however 159.48 was forOvertime Calculate Mr. Riley's basic rate of Payment.If overtime was paid for a time and a halfdetermine how many hours Mr. Riley workedOvertime The tropical fish were green and blue.A.SentenceB.Sentence fragment How do you write more than 50?. nurse observes that a client is out of breath from running up a flight of stairs just prior to conducting a general survey. what is the best action of the nurse? A race car's velocity decreases from 26 m/s to 5 m/s over a 9 second time interval. Whatis the car's average acceleration? ???HELPOOOOOPPPPPPPPPPPPPOPPPPPPPP a cylinder with a radius of 6 cm has a volume of 432 pi cm3. What is the height of the cylinder what is one important task Diocletian accomplished during his reign? what would the nurse identify as the desired response of the combination of codeine and acetaminophen rather than each given separately? An income statement reports a company's net income or net loss during a period. Which of the following accounts would appear on an income statement? (Check all that apply.)CashService RevenueWages RevenueAccounts PayableRent RevenueRent Expense How do you change log base 2 to base 10?.