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Amanda [17]
2 years ago
15

this is a question on a review assignment that i’m stuck on , my summer school teacher said i could get help if i needed. any he

lp would be greatly appreciated

Mathematics
1 answer:
kotykmax [81]2 years ago
6 0

Answer:

volume = 3549.203

Step-by-step explanation:

you need to subtract the volume of the cylinder from the volume of the box

cylinder:

vol=\pi r^2h\\V=\pi (5)^2(20)\\V=\pi (25)(20)\\V=500\pi

box:

vol=(length)(width)(height)\\V=(20)(16)(16)\\V=5120

subtract:

5120-500\pi =3549.203

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Make 2 5/8 an improper fraction which is 21/8 then turn 3/4 by multiping by 2 to get 6/8. Subtract 21/8 from 6/8 which equals to 15/8 or 1 7/8
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Is 56 ft, 65 ft, 16 ft a right triangle
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3 years ago
A lookout tower is 16 meters tall. Its shadow is 12 meters long. Close by, there is a wooden column that is 4 meters tall. How l
Lelechka [254]

Answer:

3 metres

Step-by-step explanation:

If we draw this out, we'll see that there are actually two similar right triangles (see attachment), which means that we can set up a proportion.

The height of the lookout tower corresponds to the height of the wooden column, while the shadow of the lookout tower corresponds to the shadow of the wooden column. We can then write:

(height of lookout tower) / (shadow of tower) = (height of column) / (shadow of column)

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7 0
3 years ago
1st. (2 root 2 + root 3 ) ( 2 root 3 - root 2)
satela [25.4K]

Answer:

1st: 3*root6 + 5

2nd: 35*root2 + 115

3rd: 24*root2 - 20*root6 + 15*root3 - 18

4th: 17*root6 - 38

5th: 13*root10 - 42

Step-by-step explanation:

To simplify these expressions we need to use the distributive property:

(a + b) * (c + d) = ac + ad + bc + bd

So simplifying each expression, we have:

1st.

(2 root 2 + root 3 ) ( 2 root 3 - root 2)

= 4*root6 - 2*2 + 2*3 - root6

= 3*root6 - 4 + 9

= 3*root6 + 5

2nd.

(root 5 + 2 root 10) (3 root 5 + root 10)

= 3 * 5 + root50 + 6*root50 + 2*10

= 15 + 5*root2 + 30*root2 + 100

= 35*root2 + 115

3rd.

(4 root 6 - 3 root 3) (2 root 3 - 5)

= 8*root18 - 20*root6 - 6*3 + 15root3

= 24*root2 - 20*root6 + 15*root3 - 18

4rd.

(6 root 3 - 5 root 2 ) (2 root 2 - root 3)

= 12*root6 - 6*3 - 10*2 + 5*root6

= 17*root6 - 18 - 20

= 17*root6 - 38

5th.

(root 10 - 3 ) ( 4 - 3 root 10)

= 4*root10 - 3*10 - 12 + 9*root10

= 13*root10 - 30 - 12

= 13*root10 - 42

8 0
3 years ago
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