This trapezoid represents the base of a right prism that has a surface area of 1280 square feet. The sum of the lengths of the legs of the trapezoid is 52 feet. What is the height of the prism? Enter your answer in the box.



PLEASE HELP I WILL GIV BRAINLY. 50 POINTS.​

Answer:

AED congruent to FEC

Step-by-step explanation:

If you look closely, BOth of the angles are vertical.

The area of the region is -2/3 square units

Since the region is bounded on the left by x = y²/2 and on the right by x = 3y - 4 for 2 ≤ y ≤ 4, the area of the region is given by

[tex]A = \int\limits^4_2 {\frac{y^{2}}{2} } \, dy - \int\limits^4_2 {(3y - 4)} \, dy \\[/tex]

Integrating, we have

A = [y³/6]₂⁴ - [3y²/2 - 4y]₂⁴

A = [4³/6 - 2³/6] - [3(4)²/2 - 4(4) - {3(2)²/2 - 4(2)]}]

A = [64/6 - 8/6] - [3(16)/2 - 16 - {3(4)/2 - 8]}]

A = [64/6 - 8/6] - [3(16)/2 - 16 - {3(4)/2 - 8]}]

A = [64/6 - 8/6] - [3(8) - 16 - {3(2) - 8]}]

A = [(64 - 8)/6] - [3(8) - 16 - {3(2) - 8]}]

A = [56/6] - [24 - 16 - {6 - 8}]

A = [56/6] - [8 - {-2}]

A = [56/6] - [8 + 2]

A = [56/6] - [10]

A = 56/6 - 10

Taking the L.C.M, we have

A = (56 - 10 × 6)/6

A = (56 - 60)/6

A = -4/6

A = -2/3 square units

So, the area of the region is -2/3 square units

Find the graph in the attachment

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Answer:

2x2 - 7 = 9

Step-by-step explanation:

The factoring method can be chosen to solve the equation 2x2 - 7 = 9. It is one of the easiest methods as we can isolate the variable by factoring out the GCF and obtaining the values.

Answer:

X intercept=(5,0) and Y intercept=(0,15)

Step-by-step explanation:

3x + y = 15

to find the x int, sub in 0 for y and solve for x

3x + 0 = 15

3x = 15

x = 15/3

x = 5....so the x int is (5,0)

to find the y int, sub in 0 for x and solve for y

3(0) + y = 15

y = 15....so the y int is (0,15)

Answer:

2. Change from dog/cat to tails/heads.DDC = TTH  CDC = HTH DCD = THT     CCD = HHT DDD = TTT CCC = HHH DCC = THH CDD = HTT

Answer:

See below

Step by step explanation:

Step-by-step explanation:

For cylinder:

r = 9 inches

h = 15 inches

[tex]V_{cylinder}=\pi r^2 h[/tex]

[tex]\implies V_{cylinder}=3.14 (9)^2 (15)[/tex]

[tex]\implies\huge\purple{ V_{cylinder}=3,815.1\:inch^3}[/tex]

[tex]V_{cone}=\frac{1}{3} V_{cylinder}[/tex]

[tex]\implies V_{cone}=\frac{1}{3}\times 3,815.1[/tex]

[tex]\implies \huge\orange{V_{cone}=1,271.7\: inch^3}[/tex]

Cone's volume is one third of the cylinder's volume.

Answer: it is (c)

i hope this helped :)

Answer:

The answer is C because 8-6=2 and 2 is equal to 2

Step-by-step explanation:

Answer:

C. X²-4X+6

MY ANSWER(not sure)

Answer:220g

Step-by-step explanation:

1 kg is equivalent to 1000g, therefore 1000g - 780g = 220g

Step-by-step explanation:

Let an angle = x

x= 70+(90-x)

x= 160-x

2x=160

x=80

So angle is 80 and it's complementary angle would be 10

Answer:

55∘ and 125∘

Step-by-step explanation:

Supplementary angles sum to

180∘

let one angle be [tex]x[/tex]

then the other angle is [tex]x+70[/tex]

summing the 2 angles gives

[tex]x+x+7=180[/tex]

[tex]2x+70=180[/tex]

subtract 70 from both sides

[tex]2x=180 -70=110[/tex]

divide both sides by

[tex]2x=\frac{110}{2} =55[/tex]

thus the angles are

55∘ and  55 + 70= 125∘

Answer: 68

Step-by-step explanation:

(7-(-1))^2+(-2)^2

8^2+4

68

Answer:

im sry if i get it wrong i think it is 32

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

Its impossible tto calculate x there.

But i can simply the expression for you...

42x²-13x+1

Answer:

[tex]\sf x = 6[/tex]

solving steps:

[tex]\sf in \ a \ rhombus \ the \ opposite \ angles \ are \ equal[/tex]

[tex]\hookrightarrow \sf 7x + 4 = 9x - 8[/tex]

[tex]\hookrightarrow \sf 7x -9x = - 8-4[/tex]

[tex]\hookrightarrow \sf -2x = - 12[/tex]

[tex]\hookrightarrow \sf x = 6[/tex]

Answer:

2.3 (decimal form)

Step-by-step explanation:

Convert 4 1/2 and 2 1/5 into improper fractions.

4 1/2 -> 9/2, 2 1/5 -> 11/5

Then you subtract, find the LCD (Least Common Denominator) and then you can combine.

Decimal form of answer: 2.3

Exact form of answer: 23/10

Mixed number form: 2 3/10

Any of those work! ⬆

Given parameters:

 Find the slope of the line;

                         -5x + 4y  =  -16

To find the slope of this line, we must express it in linear form according to the equation below;

                        y  = mx + c

Where x and y are the coordinates

                m is the slope

                c is the intercept

 Now let us write the given equation in this form;

                      -5x + 4y  =  -16

                    Take add +5x to both sides;

                    -5x + 4y + 5x  = 5x - 16

                              4y  = 5x - 16

  Now, divide through by 4;

                         [tex]\frac{4y}{4}[/tex]   = [tex]\frac{5x}{4}[/tex]  - [tex]\frac{16}{4}[/tex]

                        y  = [tex]\frac{5x}{4} - 4[/tex]

So the slope of the line is [tex]\frac{5}{4}[/tex]

Answer:

sin(θ) is negative, cos(θ) is positive

Step-by-step explanation:

Cosine corresponds to the x-coordinate within the unit circle, sine corresponds to the y-coordinate. In quadrant I, they are both positive, in quadrant II, x is negative whilst y is positive, and you would just continue by how they correspond as show in the unit circle, therefore, in quadrant IV, x is positive, y is negative.

Step-by-step explanation:

A Scatter Analysis is used when you need to compare two data sets against each other to see if there is a relationship. Scatter plots are a way of visualizing the relationship; by plotting the data points you get a scattering of points on a graph.

Answer:

60 lawns

Step-by-step explanation

6/5 lawns per hour times 50 hours = 60 lawns.

rate x time

9514 1404 393

Answer:

  7. odd angles, 143°; even angles, 37°

  8. odd angles, 159°; even angles, 21°

  9. even angles, 34°; odd angles, 146°

  10. even angles, 29°, odd angles, 151°

Step-by-step explanation:

Angles 1 and 3 are vertical angles, so are congruent. The same can be said of angles 2 and 4. Each odd-numbered angle is supplementary to each even-numbered angle.

__

7. m∠1 = m∠3 = 143°, m∠2 = m∠4 = 180° -143° = 37°

8. m∠1 = m∠3 = 159°, m∠2 = m∠4 = 180° -159° = 21°

9. m∠2 = m∠4 = 34°, m∠1 = m∠3 = 180° -34° = 146°

10. m∠2 = m∠4 = 29°, m∠1 = m∠3 = 180° -29° = 151°

Answer:

Step-by-step explanation:

The function value is the y-coordinate of the point having the given x-value.

Answer:

Multiplication

Step-by-step explanation:

simple form:

-4 x 6

-4 TIMES 6

therefore -4•6

Answer:

it stands for x or multiply

Step-by-step explanation:

Answer:

Step-by-step explanation:

-14 - 28i + 4i + 28i^2

-14 - 24i + 28(-1)

-14 - 24i - 28

-42 - 24i

Answer: I'd go with C

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]44:20[/tex]

Cancel common factor : 4

[tex]44 \div 4 = 11 \\ 20 \div 4 = 5 \\ 11:5[/tex]

The ratios are 44:20=11:5

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

The given ratios are  44:20 = ?:5

we have to find the number in question mark place.

Let question mark be taken as x.

The ratios can be written in the form of fraction

44/20=x/5

Apply cross multiplication

44×5=20x

220=20x

Divide both sides by 20

x=220/20

x=11

Hence, the ratios are 44:20=11:5

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Answer:55

Step-by-step explanation:

i had that question in my test

Answer:

the person above me is correct!

Step-by-step explanation:

f(z-5)=z-5-2

f(z-5)=z-9

Answer:

p<6

Step-by-step explanation:

this basically means she can buy 6 pounds or less

Answer:

p<7

Step-by-step explanation: