What is the area of parallelogram rstu? 21 square units 24 square units 28 square units 32 square units

Answers

Answer 1

The area of the considered parallelogram RTSU is given by: Option A: 21 sq. units

How to find the area of a parallelogram?

Area of a parallelogram  = (its height × its base) sq. units.

What is the distance between two points ( p,q) and (x,y)?

The shortest distance(length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units[/tex]

For this case, the missing diagram is attached below.

If we take the base as ST then as ST is parallel to y axis, the line perpendicular to ST would be parallel to x axis. The heigth of a parallogram  is the perpendicular distance between its base and top.

The base is ST and top is RU, the line segment US is perpendicular to both RU and US and its length,therefore, will serve as height as its length=perpendicular distance between the base and the top of the parallelogram.

Thus, we get:

Area of RTSU = Length of ST × Length of US

The coordinates of endpoints of ST are (4,-1), (4,-4)

Thus, the length of ST = distance between S and T = [tex]\sqrt{(4-4)^2 + (-1 - (-4))^2 }= 3[/tex]

The coordinates of endpoints of US are (-3,-1), (4,-1)

Thus, the length of US = distance between U and S = [tex]\sqrt{(-3-4)^2 + (-1 - (-1))^2 }= 7[/tex]

Thus, Area of RTSU = Length of ST × Length of US = 3 × 7 = 21 sq. units.

Thus, the area of the considered parallelogram RTSU is given by: Option A: 21 sq. units

Learn more about distance between two points here:

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What Is The Area Of Parallelogram Rstu? 21 Square Units 24 Square Units 28 Square Units 32 Square Units
Answer 2

Answer:

21 square units I think

Step-by-step explanation:


Related Questions

someone please help with this thank you if u can !!

Answers

Answer:

10 cubic inch is the volume of container

add then round???????????????????

Answers

Answer:

400,000

Numbers given:

479,369113,572

After rounding them to nearest hundredth thousand:

500,000100,000

Difference:

500,000 - 100,000400,000

The apothem of a regular hexagon measures 8 cm. a regular hexagon has an apothem with a length of 8 centimeters. which are true of the regular hexagon? check all that apply. the perimeter of the hexagon is 48 cm. the measure of the angle formed by the radius and the apothem is 30°. the side length of the hexagon is about 4.6 cm. in a regular hexagon, the radius and side length are equal in length. the area of the hexagon is about 221.7 square cm.

Answers

The angle made by the apothem and the radius is 30 degrees. Then the correct option is B.

What is a polygon?

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

The apothem of a regular hexagon measures 8 cm.

Then the side length of the hexagon will be

[tex]\rm x = \dfrac{8}{\sin 60^o}= 9.24\ cm[/tex]

The perimeter of the hexagon will be

Perimeter = 6 × 9.24 = 55.43 cm

The area of the hexagon will be

Area = 0.5 × 8 × 9.24 = 36.95 cm².

The angle made by the apothem and the radius is 30 degrees.

More about the polygon link is given below.

https://brainly.com/question/17756657

Answer:

2, 4, & 5

Step-by-step explanation:

I did it

Find the volume of a hemisphere that has the radius of 3 m to the nearest 10
(PLEASE ANSWER)

Answers

Volume of a hemisphere is 2/3•pi•r^3
The answer is 56.5m^3


What is the exponent of y after you have simplified the foollowing problem?
Blank 1:
Review Answers

Answers

Answer:

y (I think you enter just 6 in your problem)

64x¹⁸y⁶ (Simplified)

In the Simplified problem above y has an exponent of 6.

+
II
alu
What is the value of x in the equation
x-2
3
1) 4
2) 6
3) 8
4) 11

Answers

[tex]\dfrac{x-2}3 +\dfrac 16 = \dfrac 56 \\\\\implies \dfrac{x-2}3 = \dfrac 56 - \dfrac 16\\\\\implies \dfrac{x-2}3= \dfrac 46\\ \\\implies \dfrac{x-2}3 = \dfrac 23\\\\\implies x -2=2\\\\\implies x =2+2 = 4\\\\\text{Hence, the value of x is 4.}[/tex]

which angles are congruent in the isosceles triangle

Answers

Answer:

angle CAB and angle BCA

Step-by-step explanation:

Hope this helps! Have a great day!!

write an algebraic expression

Answers

Answer:

find the value of 'c' sach that the point (1.5) 2,-3) and(C,7) are colliner?

True or False


1. A solution to 8 = -x + 10 is 2

Answers

Answer:

True

Step-by-step explanation:

So, Lets find out if the solution is true or not, So first let us find the value of x.

⇒ 8 = -x + 10

We can rewrite the equation as,

⇒ -x + 10 = 8

Subtracting 10 from both sides we get :

⇒ -x + 10 – 10 = 8 – 10

⇒ -x = -2

Multiplying both sides by (-1) :

⇒ -1(-x) = -1(-2)

x = 2

Therefore,

The statement "A solution to 8 = -x + 10 is 2" is true

Hey ! there

Answer:

True

Step-by-step explanation:

In this question we are given with an equation that is 8 = -x + 10 and we have also given its solution that is 2 .And We are asked to tell whether the solution of given equation is true or false .

For finding that we must have to solve the equation .

Solution : -

[tex]\longrightarrow \qquad \: 8 = -x + 10[/tex]

Step 1 : Flipping the equation so that there's ease in solving :

[tex] \longrightarrow \qquad \: - x + 10 = 8[/tex]

Step 2 : Subtracting with 10 on both sides :

[tex] \longrightarrow \qquad \: - x + \cancel{10 }- \cancel{ 10} =8 - 10[/tex]

On further calculations , We get :

[tex] \longrightarrow \qquad \: - x = - 2[/tex]

Step 3 : Multiplying with -1 on both sides :

[tex] \longrightarrow \qquad \: - x \times - 1 = - 2 \times - 1[/tex]

We get :

[tex] \longrightarrow \qquad \: \blue{\underline{\boxed{ \frak{x = 2}}}}[/tex]

Therefore , it's TRUE that 2 is the solution of given equation .

Alternative Solution : -

There's another easy way to check whether 2 is solution of given equation or not . This is done by substituting value of x that is 2 in given equation that is 8 = -x + 10 . So substituting value of x ( solution ) in given equation :

8 = - ( 2 ) + 10

8 = -2 + 10

8 = 8

L.H.S = R.H.S

As we can see that left side is equal to right side .

Therefore , it's TRUE that 2 is the solution of given equation .

#Keep Learning

There are two parts to this question.
part 1: Solve for x
part 2: what is the length of AB

Answers

AB = BD is given. Therefore,

7x + 10 = 9x-2

10 + 2 = 9x - 7x

12 = 2x

x = 2

Now, Put the value of x in value of AB

AB = 7x + 10

AB = 7 × 2 + 10

AB = 14 + 10

AB = 24

Please help,how to do this

Answers

B you bye bye baby love love you bye love love miss bye bye love love miss you love bye bye baby bye love love miss bye bye baby girl bye bye baby bye love you love us bye love bye love love miss bye love you love love bye bye baby love bye baby baby

write 2.786 as a fraction in common form

Answers

To convert 2.786 to fraction, follow these steps:

First write down the decimal number divided by 1 like this:

2.786
1

As we have 3 digits after the decimal point in the numerator, we need to multiply both the numerator and denominator by 103 = 1000, so that there is no decimal point in the numerator

2.786 × 1000
1 × 1000
=
2786
1000

Since the greatest common factor of 2786 and 1000 is 2, we can simplify the fraction and show the same amount

2786 ÷ 2
1000 ÷ 2
=
1393
500

As the numerator is greater than the denominator, we have an improper fraction, so we can also express 2.786 as a mixed number, thus 1393/500 is equal:

2
393
500

Therefore, 2.786 as a fraction is 1393/500 and It is written as 2 393/500 in mixed number form.

help with number one please

Answers

Answer:

The solution to the set of linear equations is:

[tex](5,-4)[/tex]

Step-by-step explanation:

Hey there!

In order to solve this system of equations, we can put the equations equal to each other since both equations are equal to y

[tex]6-2x=-4x+16[/tex]

Now we simplify

[tex]2x=10[/tex] ---> [tex]x=5[/tex]

So now that we know that x is equal to 5, we can find the value of y

let's substitute it in one of the equations

[tex]y=6-2(5)[/tex] ---> [tex]y=-4[/tex]

So now we know that the point where the two equations intersect is:

[tex](5,-4)[/tex]

This is going to be our solution

The graph is in an attachment below

Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.

9. (1,3); y+2=4(x-1)

Answers

Answer:

pretty sure its y = 2x +1

Step-by-step explanation:

please help figure out the range

Answers

Answer:

5

Step-by-step explanation:

The range is the highest value number minus the lowest value number. 9 minus 4 is 5.

B) Calculate the hourly rate Company A pays its employees.

Answers

Answer:

200

Step-by-step explanation:

Mathematics question please help (image)

Answers

Answer:

I think the answer is twenve

The complete product is:

3 x 2/3 + 1/5 x 2/332/152 2/15.

What is Fraction?

Every fraction has a numerator and a denominator separated by a horizontal bar known as the fractional bar.

The denominator represents the number of components into which the whole has been subdivided. It is positioned below the fractional bar in the lower section of the fraction.The numerator specifies how many fractional parts are depicted or selected. It is positioned above the fractional bar in the upper section of the fraction.

As, the length of the painted area is 3 1/5 and width of the painted area is 2/3.

So, multiplication of length and width is as follows:

3 1/5 x 2/3

= 3 x 2/3 + 1/5 x 2/3

= 6/3 + 2 / 15

= 30 + 2 / 15

= 32/ 15

= 2 2/15

Thus, the required fraction is 2 2/15.

Learn more about Fraction here:

https://brainly.com/question/10354322

#SPJ7

Which equation does NOT describe a term in the sequence below:
12,6,3,1.5, ...

a. f(1) = 12
b. [tex]f(n)24(1/2)^x[/tex]
c. f(0) = 12
d. f(5)=0.75

Answers

D doesn’t not describe a term

Please help!! Need an explanation by tomorrow and I am super confused!

Answers

Answer:

x = 35

y = 7

Step-by-step explanation:

See how the image looks like two overlapping triangles. It is given that the triangles are congruent. Its easier to see whats what if you draw the triangles separately. I also flipped over the triangle on the right so they match. Record the given angle measures. Since A is 45° then D is also 45°. DBC is 30°, so we can find the missing angle in triangle DBC. Angles in a triangle add up to 180° so

C + 45 + 30 = 180

C + 75 = 180

C = 105°

This is angle DCB.

Now all the angles are marked. We can set up equations to find x and y. see image.

How much should you invest in an account that pays 6% annual interest compounded continuously if you want exactly $8000 after four years?

Answers

Answer:

$6239

Step-by-step explanation:

A(t) = P•e^rt

Substitute with 6% 0.06, t with 4 and A(t) with 8,000 to find the value of P.

8, 000 = P•e^0.06•4

8, 000 = P•e^0.24

8, 000 = P•1.27

P = 6, 293

Convert: 2589 millimeters = ______ kilometers

A. 2,589,000,000 km

B. 2,589,000 km

C. 0.002589 km

D. 0.2589km

Answers

Answer:

C. 0.002589 km

Step-by-step explanation:

2589/1,000,000

=0.002589

Serena does 10 minutes of endurance exercises. she plans on doing it for s minutes of doing strength exercises. complete the two equations using t, the total number of minutes serena will spend exercising.

Answers

The equation that represents the time spent on the exercise by Serena will be t = 10 + s

How to compute the equation?

From the information given, it was stated that Serena does 10 minutes of endurance exercises. and that she plans on doing s minutes of strength exercises.

Therefore, the equation that represents the time spent on the exercise will be t = 10 + s

Learn more about equations on:

https://brainly.com/question/2972832

Jane is participating in a
charity run. For each 5 miles
she runs, she will raise $30.

Answers

She will run 6 miles to raise $30.

What is the slope of the line represented by the equation y=- 1/2x+1/4

Answers

Step-by-step explanation:

This equation is known as slope-intercept form.

Parts of the slope-intercept form equation:

[tex]y=mx+b[/tex]

m represents the slope.

b represents the y-intercept.

In the equation, [tex]-\frac{1}{2}[/tex] is in the placement of m.


We can conclude that [tex]-\frac{1}{2}[/tex] is our slope.

Learn more about the slope of a line:

https://brainly.com/question/12551131

b) The perimeter of a squared field is 60 m. Find its area.

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

Perimeter of square is :

[tex]\qquad \sf  \dashrightarrow \:4 \times side \: length[/tex]

so, we can take side length as a, and solve for a ~

[tex]\qquad \sf  \dashrightarrow \:4a = 60[/tex]

[tex]\qquad \sf  \dashrightarrow \:a = 60 \div 4[/tex]

[tex]\qquad \sf  \dashrightarrow \:a = 15[/tex]

Now, since we know the side length. let's find Area of square :

[tex]\qquad \sf  \dashrightarrow \: {15}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:area = 225 \: m {}^{2} [/tex]

What is the distance between A(5, 4) and
B(2, -3)?
4
5
Round your answer to the nearest hundredth.
3
69
5

Answers

Answer:

7.62

Step-by-step explanation:

To calculate the distance we can set up a right triangle and use the pythagorean theorem to calculate the distance.

A^2 + B^2 = C^2

Keep in mind that the A and B in this theorem (and my proceeding work) does not correlate to the labels for the points in the problem and are the standard variables used in the theorem.

First lets find the lengths of the sides A and B of our triangle by determing the distance on each axis that seperates the points.

On the x-axis we have

A = 5 - 2

A = 3

The y-axis has

B = 4 - (-3)

B = 7

Plugging these values into the equation from earlier we get:

3^2 + 7^2 = C^2
Where C is the hypotenuse of the right triangle we have created, and the distance between the two points.

9+49 = C^2

sqrt(58) = C

7.615773106 = C

Rounded the the nearest hundredth:

C = 7.62

If the volume of a sphere is 83.5cm3 (cubed) what is the radius??​

Answers

Answer:

2.71

Step-by-step explanation:

Using this formula: Volume= 4 over 3 * π * r cubed.
then do R=(3V4π)⅓=(3·83.54·π)⅓≈2.71144
2.71144 rounded to the nearest 10 is 2.71

which situation could the expression 1/4 divided by 3 represent

Answers

Story ProblemLily had 3 dollars. Lily decides to buy a can of soda for one quarter of 3 dollars.

But the question is, how much did she spend?

Step-by-step explanation:

To solve this problem, we must first find the value of one quarter, which in decimal, is 0.25Next, find how many quarters are in 3 that can make one quarter.For this situation, all you must do is multiply 3 by 0.25, and you get 0.75, which is 3/4. The equation looks like the one below.

[tex]3 * 0.25(1/4) = 0.75(3/4)[/tex]

With that information, the problem is solved. In this story problem, Lily must pay 0.75 cents for that can of soda.

________________________________________________________

Questions?

Ask me in the comments box.

96 young musicians attended a jazz camp. 30 of them were guitarists. What is the probability that a randomly chosen musician is a guitarist? Write your answer as a fraction or whole number. P(guitarist) =

Answers

Answer:

31.25 %    or  5/16

Step-by-step explanation:

30 out of 96  chance

30/96 = 31.25%

Answer:The probability that a randomly chosen musician is a guitarist is 30/96.

Step-by-step explanation:

Find the area of the given triangle. Round your answer to the nearest tenth.

A right triangle with a base of 36. The angle of elevation is 25 degrees.

Group of answer choices

302.2 units squared

1 comma 389.6 units squared

766.6 units squared

Answers

Using relations in a right triangle, it is found that it's area is of 302.2 units squared.

What are the relations in a right triangle?

The relations in a right triangle are given as follows:

The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

In this problem, we have that the opposite side to the angle of 25º is of x, while the adjacent side is of 36, hence:

[tex]\tan{25^\circ} = \frac{x}{36}[/tex]

[tex]x = 36\tan{25^\circ}[/tex]

x = 16.79.

What is the area of a right triangle?

It is given by half the multiplication of it's sides, hence:

A = 0.5 x 16.79 x 36 = 302.2 units squared.

More can be learned about relations in a right triangle at https://brainly.com/question/26396675

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