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Anit [1.1K]
3 years ago
9

A 24-foot ladder leans against a building. The foot

Mathematics
1 answer:
romanna [79]3 years ago
5 0

Answer:

73°

Step-by-step explanation:

Here we use trigonometry to find the angle. The building and the ground form a perpendicular angle, with the ladder acting as the hypotenuse, we get a right angle. We know the length of adjacent leg from the angle, and the length of the hypotenuse. In this case, we use cosine since cos = adjacent length/hypotenuse length. So cos x= 7/24. To isolate x, we use the inverse function of cos, cos^-1. Then x= cos^-1 (7/24) or 73°.

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Zina [86]

Answer:

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3 years ago
The height of a right square pyramid is multiplied by 10, but the area of the base is unchanged. By what factor is the volume of
pshichka [43]

Answer:

  b 10¹

Step-by-step explanation:

Consider the volume formula:

  V = 1/3Bh . . . . B is the base area and h is the height

Replacing h by 10h gives ...

  V' = 1/3B(10h) = 10(1/3Bh) = 10V

The volume is multiplied by 10 = 10¹.

5 0
3 years ago
That's not an answer for me
Alik [6]

Answer:

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3 0
3 years ago
Read 2 more answers
A spherical balloon was inflated such that it had a diameter of 24 centimeters. Additional helium was then added to the balloon
DanielleElmas [232]
To solve this we are going to use the formula for the volume of a sphere: V= \frac{4}{3}  \pi r^3
where 
r is the radius of the sphere 

Remember that the radius of a sphere is half its diameter; since the first radius of our sphere is 24 cm, r= \frac{24}{2} =12. Lets replace that in our formula: 
V= \frac{4}{3} \pi r^3
V= \frac{4}{3} \pi (12)^3
V=7238.23 cm^3

Now, the second diameter of our sphere is 36, so its radius will be: r= \frac{36}{2} =18. Lets replace that value in our formula one more time:
V= \frac{4}{3} \pi r^3
V= \frac{4}{3} \pi (18)^3
V=24429.02

To find the volume of the additional helium, we are going to subtract the volumes:
Volume of helium=24429.02cm^3-7238.23cm^3=17190.79cm^3

We can conclude that the volume of additional helium in the balloon is approximately <span>17,194 cm³.</span>
8 0
3 years ago
Give the coordinates of the point located halfway between (2,1) and (2,4).
nordsb [41]
((X1+x2)/2,(y1+y2)/2) ---> ((2+2)/2,(1+4)/2) ---> (2,2.5)
8 0
3 years ago
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