61.3% as a fraction pls

Answer:

the length would be 9.6 and the width would be 2.4

Step-by-step explanation:

9.6×2= 19.2

2.4×2= 4.8

19.2+4.8=24

A function assigns the values. The given statement "If {x⁴=16}, then x=2" is true.

A function assigns the value of each element of one set to the other specific element of another set.

The given statement "If {x⁴=16}, then x=2" is true. This is because we solve the equation x⁴=16 for the value of x as shown below, then the value of x will be 2, as shown below.

x⁴ = 16

x⁴ = 2 × 2 × 2 × 2

x × x × x × x = 2 × 2 × 2 × 2

x = 2

As it is seen that the value of x is 2. Although, the given statement may be false if the value of x is -2 because still the value of x⁴ = 16, but the only two options available are true and false. Thus, we can conclude that the given statement is true.

Hence, The given statement "If {x⁴=16}, then x=2" is true.

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Answer:

0.916...miles per hour

Step-by-step explanation:

speed = distance/ time

12:30 - 7:30 = 5hours

275/ 5x60

275/300

=0.9166666667 miles per hour

( you can round this depending on whether it's to the nearest mile or 3 sf or something)

hope this works :)

The angles D and F are not congruent angles.

According to the statement

We have to find that the not a pair of congruent angles.

So, For this purpose, we know that the

Congruent angles are two or more angles that are identical to each other. Thus, the measure of these angles is equal to each other. The type of angles does not make any difference in the congruence of angles

From the given information:

In this diagram we have to given the four angles which are E,F,G,D.

And out of these angles

The angles E and G are the congruent angles and the angles D and F are not congruent because according to the definition these angles are not follow the conditions of the congruent angles.

So, The angles D and F are not congruent angles.

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The equation of the circle with radius 10 and center at (0 , 0) is x^2 + y^2 = 100.

The general form of the equation of  circle is given by (x - h)^2 + (y - k)^2 = r^2, where (h , k) is the location of the center and r is the radius of the circle.

Given the radius and center of the circle, substitute these values to the general form of the equation of the circle.

(x - h)^2 + (y - k)^2 = r^2

where (h , k) = (0 , 0)

r = 10

(x - 0)^2 + (y - 0)^2 = 10^2

x^2 + y^2 = 100

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1.9 > √3 > 5/4 > -1.2 are in the order from no. greatest to least.

1.9  > √3 = 1.732 > 5/4 = 1.25 > -1.2

To solve linear equations, utilize the steps that are provided below.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

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Answer:

points

Step-by-step explanation:

A weathervane is used to indicate the direction of the wind. If the vane is pointing northeast and rotates 270° southeast is the new wind direction.

How can a weathervane be used to detect wind?

What does a weathervane with a wind vane display?

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To make a computation easier, you adjust one number and alter another number in the problem is called compensation.

Compensation is a multi-digit addition mental math technique that entails adjusting one of the operand to make the equation simpler to solve.

Some examples of compensation are-

Thus, this method is used in solving with simpler form.

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[tex]Answer:\ \sqrt[3]{81} =3^\frac{4}{3}[/tex]

Step-by-step explanation:

[tex]\displaystyle\\\sqrt[3]{81}=(81)^\frac{1}{3} \\\\\sqrt[3]{81}=(3^4)^\frac{1}{3} \\\\\sqrt[3]{81} =3^{\frac{4}{3}\\[/tex]

The value of the greater integer is -8.

Given,

The sum of an integer and 6 times the next consecutive integer = -50

We have to find the value of the greater integer:

Let's take x as the integer.

Next consecutive integer be (x + 1)

Now,

x + 6(x + 1) = -50

x + 6x + 6 = -50

7x + 6 = -50

7x = -50 - 6

7x = -56

x = -56/7

x = -8

The value of x is -8.

Now,

x + 1 = -8 + 1 = -7

That is,

-8 + (6 × -7) = -50

-8 -42 = -50

Here, the integers are of negative values.

So, the value of greater integer be -8.

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Answer:

angle TEA = 58 (which is 29 times 2) degrees

angle TEF = 37 (which is 74 divided by two 2) degrees

Step-by-step explanation:

The angle bisector divides a given angle into two equal parts

Step-by-step explanation:

Let the given midpoint is md which is: md (2, 5) and let say one end point is E (6, 3) and the other end point P( x, y).

So, by using midpoint formula we have,

[tex](2 \: \: 5) \: = (\frac{6 + x}{2} ) \: \: . \: (\frac{3 + y}{2} ) \\ 6 + x = 4 \\ \times = - 2 \\ and \: \: 3 + y = 10 \\ y = 7[/tex]

so the y - coordinate of the other end is y = 7

Answer:

Below in bold.

Step-by-step explanation:

His total marks for the 4 tests

= 4*78

= 312,

For an average of 82% over 5 tests the total will have to be

82*5 = 410.

So, he needs to score 410 - 312

= 98% in his last test.

Answer:

The answer is in the provided screenshot!!!

I hope this helps! Please let me know if you have any questions!!!

Answer:

90 minutes...

Step-by-step explanation:

75+15....

Answer:

I would say it's 8 because if the y=8 so if 8 is there you times it by 2 to get 16 so now you get 2 from x the exponent is 4 so 4x2 is 8 so 16-8=8 if that's wrong it's probable -8 because I haven't done exponents in a long time

Answer:

Step-by-step explanation:

awnser is a

Answer:

[tex]{ \rm{ \frac{6 {x}^{2} + 18x }{2 {x}^{3} } = \frac{5}{x} }} \\ \\ { \rm{ \frac{3x + 9}{ {x}^{2} } = \frac{5}{x} }} \\ \\ { \rm{x(3x + 9) = 5 {x}^{2} }} \\ { \rm{3 {x}^{2} + 9x = 5 {x}^{2} }} \\ { \rm{3x + 9 = 5x}} \\ { \rm{2x = 9}} \\ { \rm{x = 4.5}}[/tex]

The the solution of the linear equation in one variable 7(a+1)-3 a=5+4(2a-1) is at a = 3/2.

According to the given question.

We have a linear equation in one variable.

7(a+1)-3 a=5+4(2a-1)

As we know that, the linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.

Thereofre, the solution of the linear equation in one variable 7(a+1)-3 a=5+4(2a-1) is given by

7(a+1) -3a = 5 + 4(2a - 1)

⇒ 7a + 7 - 3a = 5 + 8a - 4    (by distributive rule)

⇒ 4a + 7 = 1 + 8a

⇒ 7 - 1 = 8a - 4a

⇒ 6 = 4a

⇒ 6/4 = a

⇒ a = 3/2

Hence, the the solution of the linear equation in one variable 7(a+1)-3 a=5+4(2a-1) is at a = 3/2.

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It is proved that CM will be perpendicular to AB if M is midpoint of AB.

It is given that ΔABC is a right isosceles triangle with hypotenuse AB and M is midpoint of AB.

We have to prove that CM is perpendicular to AB.

What is an isosceles triangle ?

An isosceles triangle ΔABC is a triangle that has at least two sides of equal length i.e., AC= BC

As per the question ;

ΔABC is a right isosceles triangle with hypotenuse AB.

⇒ AC = BC (by the definition of isosceles triangle)

Also ;

M is midpoint of AB.

⇒ CM = CM  (reflexive property)

So ;

ΔACM ≅ Δ BCM (by SSS)

∠A = 45° and ∠B = 45° because of right isosceles triangle.

Also ;

∠ACM = ∠BCM

because they are corresponding angles of congruent triangles

i.e.,

∠ACB = 90°

Now ;

∠ACM + ∠BCM = ∠ACB

because they are adjacent angles.

∵

∠ACM = ∠BCM , so ;

∠ACM + ∠ACM = ∠ACB

2∠ACM = 90°

∠ACM = 45 °

∵

∠A = 45 ° and ∠ACM = 45°

⇒ ∠AMC = 90°

because the sum of angles in a triangle is 180°.

So ,

If ∠AMC = 90° , then CM is perpendicular to AB because perpendicular lines form 90° angles.

Thus , CM will be perpendicular to AB if M is midpoint of AB.

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Answer:

w = 2

Step-by-step explanation:

[tex]2\cdot \:4w-2\cdot \:1\\= 8w-2\cdot \:1\\= 8w-2\\-10\left(w-3\right)+4\\= - 10w - \left(-10\right)\cdot \:3\\= -10w+10\cdot \:3\\-10w + 30\\= -10w + 30+4\\= -10w + 34\\8(w)-2=-10w+34\\8(w) - 2+2 =-10w+34+2\\8(w)=-10w+36\\18(w)=36\\\frac{18(w)}{18} = \frac{36}{18}\\= 2[/tex]

Answer:w=2

Step-by-step explanation:

8w-2=-10w+30+4

8w-2=-10w+34

Add 10 w both sides

18w-2=34
add 2 both sides

18w=36

Divide by 18

W=2

The general form of a linear equation is y - y1 = m(x - x1). The point-slope form is y = - 1.75x.

The general form of a linear equation is y - y1 = m(x - x1). It draws attention to the line's slope and one of the line's points (that is not the y-intercept).

Given: (x1, y1) = (0, 0) and (x2, y2) = (-4, 7)

The point-slope form is given by,

y - y1 = m(x - x1)

m = (y2 - y1)/(x2 - x1)

substitute the values in the above equation, we get

m = (7- 0)/(-4 - 0) = -7/4

The value of m = -7/4.

y = -1.75x

Therefore, the point-slope form is y = - 1.75x

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Using the graph of h we get (a) Value of function h at x=5 is 8

(b)  Limit of h(x) at x=5 does not exist

(c) Value of function h at x=7 is 4

(d) Limit of h(x) at x=7 does not exist

(e)Limit of h(x) at x=8 is 5

Limit : Limit is the value that a function output approaches as the input  approaches to a certain value.

For any function g(x) , [tex]\lim_{x \to \22} g(x)[/tex] refers to the value that the  g(x) approaches as the x approaches to 2 from either left  hand side or from right hand side

From any graph we can easily see that to what value g(x)=y  on the curve is approaching when the x  is approaching to some value on x axis and if the graph is splitting into different functions on the value of x where x is approaching then the limit does not exist for that value of x.

For given graph h(x)

We can see value of value of function h at x=5 is 8 and value of function h at x=7 is 4

As the graph of h(x) has a hole in the graph when x=5, breaking its function into two different function on x=5 then  or limit of h(x) at x=5 does not exist

As the graph of h(x) has a hole in the graph when x=7, breaking its function into two different function on x=7 then  or limit of h(x) at x=7 does not exist

As the graph is not breaking at x=8or we can say that graph of g(x)is approaching to 5 as x approaches to 8 then limit of h(x) at x=8 is equal to g(1) that is  5

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say Steve is x ,then jenny will be x + 12

five years ago Steve's age was x - 5 and Jenny's age was x + 12 - 5= x + 7

since jenny was four times Steve's age 5 years ago the equation will be

x + 7 = 4(x - 5)

= x + 7 = 4x - 20

putting like terms together, we will have

4x - x = 20 + 7

= 3x = 27

this means 3x ÷ 3= 27 ÷ 3

x = 9

this means Steve is 9 years old and Jenny is 21 years old

The value of x in the equation 3/7 = 12/x is equal to 28.

Proportion is a type of mathematical equation that is used to determine the value of the quantities that are not known by forming two equal ratios.

Ratios can be defined as an expression that is used to compare the size of two numbers in relationship to each other to determine how big is one number from the other.

The given proportion can be solved as follows:

3/7 = 12/x

3x = 12 × 7

3x = 84

If 3x is equal to 84, then x will be equal to:

x = 84/3

x= 28

Therefore, the proportion is solved as the value of x is found to be 28.

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According to the question, a project has a duration of [tex]20[/tex] weeks and a standard deviation of[tex]4[/tex] weeks. And the calculated weeks to complete the [tex]35[/tex] percent work is [tex]18.4[/tex].

As per question, the critical path is the longest path from start to finish. It tells the minimum time required to finish the assigned project.

As per the question, the given data is as follows:

Time Duration = [tex]20[/tex] weeks, Standard Deviation = [tex]4[/tex] weeks, Completion = [tex]35[/tex] percent

[tex]Z = \frac{S-T}{var} =18.4[/tex]

The solution for the given question is [tex]18.4[/tex].

What is the critical path?

The critical path is the path for the assigned work and it is the longest path. This phenomena is used to calculate the minimum time for the project completion.

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Answer:      302 degrees

Step-by-step explanation: