You want to determine the height of the screen at a drive-in movie theater. You use a cardboard square to line up the top and bottom of the screen structure. The vertical distance from the ground to your eye is 5.5 ft and the horizontal distance from you to the screen is 14 ft. The bottom of the screen is 6 feet from the ground. Approximate the height of the screen to the nearest tenth.

Answer:

[tex](16 \times 13 \times 0.5) \times 4 + 13 \times 13[/tex]

Answer:

h = 9 yds,       assuming his treehouse is a rectangular shape. 9 yds seems pretty high.

Step-by-step explanation:

area = bh

108 yd³ = 12 yd² x h

h = 108/12 = 9 yds

 The prism is 9 yards tall

What is the Volume of Rectangular Prism?

The area occupied inside a rectangular prism is referred to as the volume of the prism. A polyhedron with two pairs of congruent and parallel bases is referred to as a rectangular prism. It has 12 sides, 6 faces (all of which are rectangles), and 8 vertices. Given that the rectangular prism is a three-dimensional (3D) shape, the units cm3, m3, and so forth are employed to express the volume of the rectangle prism. Any polyhedron that possesses all of these qualities is referred to as a cuboid in mathematics.

Given: base of the treehouse= 12 yards²

volume of the treehouse = 108 yards³

To find : how tall is the prism ( height of the treehouse) = ?

Formula Used : The volume of a rectangular prism is calculated using the formula volume of a rectangular prism (V) = l w h,

where "l" stands for base length

"w" for base width.

"h" refers to the prism's height.

Steps for calculating the height

Step 1: The foundation area of 12 square yards has previously been specified.

Step 2: The prism's volume is 108 cubic yards

Step 3: The given rectangular prism's volume = base area x height

=> 108 cubic yards = 12 x h

=> 108/ 12 = h

=> h = 9 yards

Since , the prism is 9 yards tall

To learn more about: volume of rectangular prism

Ref: https://brainly.com/question/28060173

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Answer:

C) Alternate Exterior Angles Converse Theorem

Step-by-step explanation:

Answer:

(3a + 2b)(3a + 2b)

Step-by-step explanation:

9a² + 12ab + 4b²​

(3a + 2b)(3a + 2b)

Answer:

(3a+2b)(3a+2b)

Step-by-step explanation:

=9a^2 + 12ab + 4b^2

=9a^2 + 6ab + 6ab +4b^2

=3a(3a +2b) + 2b(3a + 2b)

=(3a + 2b) (3a + 2b)

Answer:

120

Step-by-step explanation:

Find how many were there before the adoption event by dividing 84 by 0.7

84/0.7

= 120

So, there were 120 animals before the adoption event

Answer: 45.84, or 46 miles rounded up

HOPE THIS HELPS

Answer:

Step-by-step explanation:

No they are not similar triangles.

In similar triangles, corresponding side will be in same ratio.

[tex]\frac{KM}{NC}=\frac{36}{28}=\frac{9}{7}\\\\\\\frac{KL}{PN}=\frac{24}{16}=\frac{3}{4}\\\\[/tex]

Corresponding sides are not in same ratio. So these are not similar triangles

Answer:

The 3rd and the 5th

2(3+9i) , 6(1+3i)

Step-by-step explanation:

Answer:

2^(5/2)

Step-by-step explanation:

2^0 = 1, so the given expression immediately becomes

 2^3

------------ = 2^(5/2)     (we subtract 1/2 from 3, obtaining 5/2)

 2^(1/2)

Answer:

True

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Two of the radicals have the same index and radicand, so they can be combined. Rewrite the expression so that like radicals are next to each other. Combine. Although the indices of and are the same, the radicands are not—so they cannot be combined.

Answer:

1: 58

2: 140

Step-by-step explanation:

For blank 1:

arc SU is 180, this is because its the angle of the diameter.

arc TU is 122, because its the double of angle S, so 61 times 2 is 122.

- We know that a circle is 360 degrees, so 180 + 122 is 302

-Therefore 360-302=58.

For question 5:

Arc CA is 180, because it's the angle of the perimeter

Arc BC is 40, because its the double of angle A, so 20 times 2 is 40.

-  We know that a circle is 360 degrees, so 180 + 40 is 220.

- Therefore 360-220=140

Answer:

$576.80

Step-by-step explanation:

We have been given that Mr. Juárez opened a savings account with an initial deposit of $560 and will not make any additional deposits or withdrawals. The account earns 1% simple interest.

We are asked to find the total amount that Mr. Juárez will have in his account at the end of 3 years.

We will use simple interest formula to solve our given problem.

[tex]A=P (1+rt)[/tex]

A = Final amount after t years,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

Let us convert 1% into decimal form,

1%=1/100=0.01

P=$560 and t=3

A=$560 (1+0.01(3))

A=$560 (1+0.03)

A= $560 (1.03)

A= $576.80

Therefore, Mr. Juárez will have $576. 80 in his account at the end of 3 years. Hope this helps!

Answer:

The answers are It is a quadrilateral and Both pairs of opposite sides are parallel.

Hope this helps.

Answer:

Hey There!

The Answer = 2

[tex]5(x + 2) = 20 \\ x + 2 = 20 \div 5 \\ x + 2 = 4 \\ x = 4 - 2 \\ x = 2[/tex]

Answer:

x=2

Step-by-step explanation:

5(2x+2)=20

5(4)=20

20=20

Answer:

1.98x10^8

Step-by-step explanation:

Answer:

198000000

Step-by-step explanation:

where the dot it you count back words 8 times. you put 1.98 than count back 8 times remove the do than you got 198000000

Hope this helps :)

Answer:

6053.28618448

no is the power of 6

Answer:

4784 to the power of 7

Step-by-step explanation:

i'm not sure if i interpreted what you wrote correctly, but if its ((4600*1.04)to the power of 7), then my answer would be correct.

if it was 4600*1.04 (where 1.04 would be to the power of 7), then the answer would be about 6053.28618, or 4600*26 to the power of 7/ 25 to the power of 7

Answer:

-7

Step-by-step explanation:

Answer:

9x+10*8=17

9x=17-80

9x= -63

X= -63/9

so X=. -7

hope it helps

Answer:

4x24

Step-by-step explanation:

Answer:

4x24= 96, Amanda spends 96 dollars on tickets

Step-by-step explanation:

4x24=96

4 tickets x 24 dollars each

4x24

96

Answer:

6.42857142857

Step-by-step explanation:

Answer:

6 3/7

Step-by-step explanation:

Answer: 225 hamburgers were sold on friday

Step-by-step explanation:

Let x represent number of hamburgers

and x-75 represent cheeseburgers

such that total hamburgers and cheeseburgers sold on Friday equaling 375 can be represented as

x + (x-75) =375

2x-75=375

2x=375+75

2x =450

x=450/2=225

Hamburgers =225

cheeseburgers= x-75=225-75=150

Answer:

The answer is c.

Step-by-step explanation:

Hope this helps =)

Answer:

C. )2,800

Step-by-step explanation:

Answer:

4cm is the correct answer

Answer:

Soap A is a better buy.

Step-by-step explanation:

Soap A is 1 dollar with 42 more ounces.

Soap B is 4 dollars with 42 ounces less.

You should be paying 1 dollar for 42 ounces more than 4 dollars for 42 ounces less.

Let me know if that helps!

Answer:

1. 18

2.3 and 3/4

3.6 and 1/4

Step-by-step explanation:

3 by 6 equals 18 since 12 divided by 2 is 6

15 divided upon 4 is 3.75 or 3 3/4

50 divided by 8 equals 6.25 or 6 1/4

Answer:

1. Abiotic is the third answer

2. Biotic is the first answer

3. flora is the second answer

4. fauna us correct

Step-by-step explanation:

If