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Ira Lisetskai [31]
3 years ago
5

Jake plans to use a ramp to make it easier to move a piano out of the back of his truck. The back of the truck is 83 centimeters

tall and the ramp is 158 centimeters long.
What is the horizontal distance from the end of the ramp to the back of the truck?
Round your answer to the nearest tenth of a centimeter.
Mathematics
1 answer:
storchak [24]3 years ago
8 0

Answer:

134.4 centimeters

Step-by-step explanation:

This question is asking us for a missing leg on the triangle, lets call it x. Using the Pythagorean theorem (a²+b²=c²), we can figure out what value is missing (either a or b, they are interchangeable).

replace the values in the equation.

83²+x²=158²

get rid of the exponents.

6,889+ x² = 24,964.

subtract 6,889 from 24,964.

x²=18,075.

find the square root on both sides of the equation.

x=134.4432966.

I am assuming you want this rounded to the nearest tenth.

134.4 is your answer.

Read more on Brainly.com - brainly.com/question/14113423#readmore

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7( \frac{x}{8} ) +  \frac{3}{4}  =  - 6

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3 years ago
State the domain of the function.
boyakko [2]
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This means that D. All real numbers, is your answer.

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6 0
4 years ago
A manufacturer has a monthly fixed cost of $110,000 and a production cost of $14 for each unit produced. The product sells for $
vova2212 [387]

Answer:

Cost function C(x) == FC + VC*Q

Revenue function R(x) = Px * Q

Profit function P(x) =(Px * Q)-(FC + VC*Q)

P(12000) = -38000 Loss

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Step-by-step explanation:

Total Cost is Fixed cost plus Variable cost multiplied by the produce quantity.  

(a)Cost function

C(x) = FC + vc*Q

Where  

FC=Fixed cost

VC=Variable cost

Q=produce quantity

(b)

Revenue function

R(x) = Px * Q

Where  

Px= Sales Price

Q=produce quantity

(c) Profit function

Profit = Revenue- Total cost

P(x) =(Px * Q)-(FC + vc*Q)

(d) We have to replace in the profit function

<u>at 12,000 units </u>

P(12000) =($20 * 12,000)-($110,000 + $14*12,000)

P(12000) = -38000

<u>at 23,000 units </u>

P(x) =($20 * 23,000)-($110,000 + $14*23,000)

P(23000) = 28000

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Answer:

Step-by-step explanation:

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