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emmainna [20.7K]
3 years ago
7

The base of a ladder is 10 feet away from a vertical building. The ladder top rests at the top of the building. The ladder's ang

le of elevation
from the bottom of the ladder to the top of the building is 70°.
What is the height of the building?
O 13.94 ft.
O 27.47 ft.
O 41.76 ft.
O 32.14 ft.
O 53.30 ft.
Mathematics
1 answer:
lidiya [134]3 years ago
3 0

Answer:

I don't know, but you got this!

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Line m is parallel to line p. m ∠ HEF = 39º and m ∠ IGF = 13º. Find the m ∠ EFG. Explain in detail how you know you are correct.
svetlana [45]

Answer:

The measure of ∠EFG is 52°

Step-by-step explanation:

Given line m is parallel to line p. m∠HEF = 39º and m∠IGF = 13º.we have to find m∠EFG.

In ΔJFG,

By angle sum property of triangle, which states that sum of all angles of triangle is 180°

m∠FJG+m∠JGF+m∠JFG=180°

⇒ 39°+13°+m∠JFG=180°

⇒ m∠JFG=180°-39°-13°=128°

As JFE is a straight line ∴ ∠JFG and ∠EFG forms linear pair

⇒ m∠JFG+m∠EFG=180°

⇒ 128°+m∠EFG=180°

⇒ m∠EFG=52°

The measure of ∠EFG is 52°

6 0
3 years ago
a dish has 21,245,673 bacteria in it. The population of bacteria will decline by 80% every day. How many bacteria will be presen
Ivahew [28]

Answer:

33993.0768

Step-by-step explanation:

You can multiply the number of bacteria by (0.2^4). The 0.2 is for the 20% that  left after each day. The (^4) is for the 4 days that have passed.

6 0
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Simplify.<br> -12 + (-2)(3)
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Answer:

-18

Step-by-step explanation:

-12 + (-2)(3)

= (-12)+((-2)x(3))

= (-12)+(-6)

= (-12)-(6)

= -18

8 0
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161.92 is the radius

If you want, you can round it to 162 units

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Select the correct answer.
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