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MrRa [10]
2 years ago
14

A 13 ​-ft ladder is leaning against a house when its base starts to slide away. By the time the base is 12 ft from the​ house, t

he base is moving away at the rate of 15 ​ft/sec.
a. What is the rate of change of the height of the top of the​ ladder?
b. At what rate is the area of the triangle formed by the​ ladder, wall, and ground changing​ then?
c. At what rate is the angle between the ladder and the ground changing​ then?
Mathematics
1 answer:
VARVARA [1.3K]2 years ago
8 0
I think the answer is B because all the air other answers are incorrect
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Find the volume of a sphere that has a surface area of 16 sq. in.
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Given the surface area of the sphere, for us to obtain the volume we need to get the value of the radius. The surface area of the sphere is given by:
S.A=4πr^2
hence the radius can be calculated as follows;
16=4πr^2
4=πr^2
r=(4/π)^(1/2)
volume of a sphere is given by:
V=4/3πr^3
=4/3*π*(4/π)^(1/2))^3
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4 0
3 years ago
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Answer:  x^2+\frac{1}{2}x+\frac{1}{16}=2 +\frac{1}{16}

Step-by-step explanation:

Given the following Quadratic equation:

x^2+\frac{1}{2}x=2 +

You can change its formed by Completing the square.

In order to do Complete the square, you can follow these steps:

1. You can identify that:

b=\frac{1}{2}

2. Then, you can find (\frac{b}{2})^2. This is:

(\frac{\frac{1}{2}}{2})^2=(\frac{1}{4})^2=\frac{1}{16}

3. Now you must add \frac{1}{16} to both sides of the Quadratic equation in order to keep the balance. Then:

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3 0
3 years ago
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creativ13 [48]

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Step-by-step explanation:

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Neko [114]
Salutations!

<span>A bag contains 56 marbles: 7 red, 8 green, 11 yellow, 17 brown, and 13 blue.

If a marble is chosen at random, what is the probability that the marble is green?

Probability means an occurrence of a chance

(Probability of getting green marble) = </span>8/56

Simplify tex]8/56[/tex]

The simplified answer would be 1/7

Hope I helped (:

Have a great day!
4 0
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Answer:

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Step-by-step explanation:

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