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AURORKA [14]
3 years ago
12

A painter has 24 foot ladder that he is using to paint a house. For safety reasons, the ladder must be placed at least 8 feet fr

om the base of the side of the house. To the nearest tenth of a foot, how high can the ladder safely reach?
Mathematics
1 answer:
Lina20 [59]3 years ago
5 0
To the nearest foot, it would be 23 feet. I found this using the Pythagorean Theorem of a (squared) + b (squared) = c (squared). If you have 24 as the hypotenuse, you have to square this and subtract 64 (8*8) from it. That will equal 512. So you have to find the square root of that which is 22.62, which will round to 23 feet.
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a baseball helmet cost $42 coach Rodger said he would pay $274 for 7 helmets is the exact answer reasonable
Zepler [3.9K]
No cause if I helmet cost $42 , 7 helmets will be $294.
$42 = 1 helmet
$? = 7 helmets
cross multiply = 42 × 7 = $294
7 0
3 years ago
The figure below shows the ideal pattern of movement of a herd of cattle, with the arrows showing the movement of the handler as
geniusboy [140]

Based on the theory, the distance from the starting point to the return point = Arc length = 109.9 feet.

<h3>What is the Length of an Arc?</h3>

The arc length of a circle can be calculated with the radius and central angle using the arc length formula.

Arc length = ∅/360 × 2πr

Since the sector formed is a quarter circle, then ∅ = 90°.

Raidus (r) = 70 ft

Distance from the starting point to the return point = arc length.

Arc length = ∅/360 × 2πr =  90/360 × 2π(70)

Arc length =  109.9 feet

Therefore, based on the theory, the distance from the starting point to the return point = Arc length =  109.9 feet.

Learn more about the arc length on:

brainly.com/question/2005046

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6 0
2 years ago
Using long division to find the quotient, what changes do you first
lora16 [44]

Answer:

\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4

Step-by-step explanation:

Given

Dividend = 125x^3 - 8

Divisor = 5x - 2

Required

Determine the quotient

See attachment for complete process.

First, divide 125x^3 by 5x

\frac{125x^3}{5x} =25x^2

Write 25x^2 at the top

Multiply 5x - 2 by 25x^2

= 125x^3 - 50x^2

Subtract from 125x^3 - 8

i.e.

125x^3 - 8 - (125x^3 - 50x^2) = 50x^2 - 8

Step 2:

Divide 50x^2 by 5x

\frac{50x^2}{5x} = 10x

Write 10x at the top

Multiply 5x - 2 by 10x

= 50x^2 - 20x

Subtract from 50x^2 - 8

i.e.

50x^2 - 8 - (50x^2 - 20x) = 20x - 8

Step 3:

Divide 20x by 5x

\frac{20x}{5x} = 4

Write 4 at the top

Multiply 5x - 2 by 4

= 20x - 8

Subtract from 20x - 8

i.e.

20x - 8 - (20x - 8) = 0

Hence:

\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4

8 0
3 years ago
A cereal brand is on sale $2 for 32 oz. If Sally spent $8 on the cereal, how many ounces did she purchase?
Lelechka [254]

Answer:

it would be 128 because 8 divded 2 is 4. 4 is the number of cereal boxes now multiply 4 x32 which would be 128

3 0
3 years ago
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PLEASE HELP ME ASAP!!! ITS ALMOST DUE!! ILL MARK BRAINLIEST!!
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Answer:

4.2

Step-by-step explanation:

closest to what I counted 3

8 0
3 years ago
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