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Alinara [238K]
3 years ago
10

A 13-foot ladder leans against the side of a house with its base 3 feet from the house. Use the Pythagorean Theorem to approxima

te how high the ladder reaches up the side of the house. Round your answer to the nearest hundredth.
Mathematics
1 answer:
wlad13 [49]3 years ago
6 0

Answer:

12.65

Step-by-step explanation:

The formula for Pythagorean Theorem is 'a' squared + 'b' squared = 'c' squared. So let's call the base of this triangle, which is 3, 'a' and the length, which is the hypotenuses, 'c'. Now we need to plug it in. So, we square 3 and square 13. It's now (9+b=169). Solve the equation and you get b^2=160. So now we solve for the square root. And the answer is 12.6491106407 which you can round to 12.65

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A 300-lb gorilla climbs a tree to a height of 30 ft. Find the work done if the gorilla reaches that height in the following time
omeli [17]

Answer:

a) 9000 ft-lb

b) 9000 ft-lb

Step-by-step explanation:

Equation for the work:

The equation for the work done is given by:

W = Fd

In which F is the force needed and d is the distance. The time does not interfere on the work.

A 300-lb gorilla climbs a tree to a height of 30 ft

This means that F = 300, h = 30

Thus

W = Fd = 300(30) = 9000

The work done in both cases is of 9000 ft-lb, as the work is not a function of time.

4 0
3 years ago
Stephen biked 75% of 2 miles fred biked 2.5 miles how much farther did Fred bike than Stephen
Natalka [10]
The answer is:

2.5 - (.75 • 2)
= 2.5 - 1.5
= 1
7 0
3 years ago
Find the surface area of the composite figure.
WINSTONCH [101]

Answer:

382 cm²

Step-by-step explanation:

Front face + Back face:

A = 2(a + b)h/2

A = 2(14 cm + 8 cm)(7 cm)/2

A = 154 cm²

Left face:

A = 7 cm × 6 cm = 42 cm²

Right face:

A = 9 cm × 6 cm = 54 cm²

Bottom face:

A = 14 cm × 6 cm = 84 cm²

Top face:

A = 6 cm × 8 cm = 48 cm²

Total surface area =

= (154 + 42 + 54 + 84 + 40) cm²

= 382 cm²

3 0
1 year ago
Ritz can eat 8 apples in 15 minutes. How long does it take Ritz to eat 16 apples at the same rate?
natka813 [3]
The rate Ritz can eat apples is 8/15 apples per minute.

Set the rate (which is measured apples / minutes) equal to 16 apples / t minutes.

(8/15) = (16/t)

Cross multiply.

16*15 = 8t

t = 20

The answer is 30 minutes. You could solve the problem with basic reasoning as well. 16 is twice the number of apples as 8, so the time it takes to eat them will be double 15 minutes.
5 0
3 years ago
Johnny's mother has 3 children. The first child is named April. The second child is named May. What is the third child's name
Musya8 [376]
The answer is Johnny. You can conclude from the first sentence of your question. It is stating that Johnny's mother has three children. Johnny is included in the three children. So, the third child's name was Johnny!
Thank you! :D
3 0
3 years ago
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