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Cloud [144]
3 years ago
11

Sheila is climbing on a ladder that is attached against the side of a jungle gym wall. She is 7 feet off the ground and is 3 fee

t from the base of the ladder, which is 18 feet from the wall. How high up the wall is the top of the ladder? The ladder is attached to the wall of the jungle gym at a height of feet.
Mathematics
1 answer:
Gnom [1K]3 years ago
8 0

Answer:

Hi there!

The correct answer is 42 ft.

Step-by-step explanation:

For this special question, you need to set up a proportion, because you have two similar triangles.

In this case you will have, (7/x) = (3/18)

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Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds a
kirill115 [55]

Answer:

12 feet per second.

Step-by-step explanation:

Please consider the complete question.

Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds after she jumps for the bone can be representedh(t)=-16t^2+20t.

What is Spot's average rate of ascent, in feet per second, from the time she jumps into the air to the time she catches the bone at t=1/2?  

We will use average rate of change formula to solve our given problem.

\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}

\text{Average rate of change}=\frac{h(\frac{1}{2})-h(0)}{\frac{1}{2}-0}

\text{Average rate of change}=\frac{-16\cdot(\frac{1}{2})^2+20\cdot \frac{1}{2}-(-16\cdot(0)^2+20\cdot (0))}{\frac{1}{2}-0}

\text{Average rate of change}=\frac{-16\cdot\frac{1}{4}+10-(0)}{\frac{1}{2}}

\text{Average rate of change}=\frac{-4+10}{\frac{1}{2}}

\text{Average rate of change}=\frac{6}{\frac{1}{2}}

\text{Average rate of change}=\frac{2\cdot 6}{1}

\text{Average rate of change}=12

Therefore, Spot's average rate of ascent is 12 feet per second.

3 0
3 years ago
Using the probability scale, what is the probability that a spinner with 4 equal parts numbered 1-4 will land on the 1 on the ne
Greeley [361]

Answer:

B

Step-by-step explanation:

Just ask!

6 0
2 years ago
45.15 ÷ 21 pleases solve it for me
sergiy2304 [10]

Answer:

2.15

Step-by-step explanation:

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3 years ago
Which of the following is equivalent to 5^-9
VLD [36.1K]
0.0000000005 9 zeros
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3 years ago
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two angles are complementary. the larger angle is 6 more than five times the number. how large is the smaller angle?
spin [16.1K]

Answer:

14 degrees

Step-by-step explanation:

Complementary angles means they add up to 90 degrees.

If the smaller angle times 5 plus 6 equals the bigger angle, then:

14 x 5 = 70

70 + 6 = 76

76 + 14 = 90

6 0
3 years ago
Read 2 more answers
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