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stira [4]
2 years ago
10

A 22-foot ladder is leaning up against the side of a house. The ladder makes an angle of 77o with the ground. How far up the sid

e of the house does the ladder reach
Mathematics
1 answer:
Crank2 years ago
8 0

Answer:

21.44 ft

Step-by-step explanation:

(sketch to understand)

use SOH/CAH/TOA rules to solve

sin rule is used

solve for x

(working in the picture attached)

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3 years ago
Which of the following probabilities is equal to approximately 0.2957? Use the portion of the standard normal table below to
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Step-by-step explanation:

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6 0
3 years ago
Read 2 more answers
A puppy and a kitten are 180 meters apart when they see each other. The puppy can run at a speed of 25 m/sec, while the kitten c
ser-zykov [4K]

Answer: 36 sec

Step-by-step explanation:

Let

x------> distance the kitten runs before being caught by the puppy

Remember that

The speed is equal to divide the distance by the time

v=d/t

solve for t

t=d/v

so

equate the time

x/20=(180+x)/25

25x=20(180+x)

25x=3,600+20x

25x-20x=3,600

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or

t=(720+180)/25=900/25=36 sec

6 0
4 years ago
Read 2 more answers
A train is traveling at a constant speed of 105 miles per hour. How many feet does it travel in 3 seconds? Remember that 1
ipn [44]

Answer:

in 3 seconds the train should travel 462 feet

Step-by-step explanation:

So, first, we convert the miles into feet.

105 x 5280 = 554400

This means the train travels 554400 feet per hour.

then, we convert the hour, into second.

Since an hour has 60 minutes, and a minute has 60 seconds, we simply multiply:

1(hour) x 60(minutes) x 60(seconds) = 3600

So the train moves 554400 feet every 3600 seconds.

To get how many feet it travels in one second, we divide this by 3600.

3600/3600 and 554400/3600

1 and 154.

For every second the train travels 154 feet.

Then we simply multiply them by 3.

3x1 and 3x154, which equals:

3 and 462.

So the train travels 462 feet every 3 seconds.

I tried to explain this as simply as I can.

I hope its all correct.

6 0
3 years ago
Given f(x)=-3x+5f(x)=−3x+5, find f(-6)f(−6).
Andreyy89

Answer:

36

Step-by-step explanation:

When you multiply -6 x -6 you get 36.

Hope this helps:)

3 0
3 years ago
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