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Darina [25.2K]
3 years ago
13

A homeowner estimates that it will take 11 days to roof his house. A professional roofer estimates that he could roof the house

in 6 days. How long will it take if the homeowner helps the roofer?
Mathematics
1 answer:
Ahat [919]3 years ago
4 0

Answer:

If the homeowner helps the roofer it will take 4 days to roof the house.

Step-by-step explanation:

Given that a homeowner estimates that it will take 11 days to roof his house, while a professional roofer estimates that he could roof the house in 6 days, to determine how long it will take if the homeowner helps the roofer the following calculation must be done:

1/6 + 1/11 = X

0.1666666 + 0.09090909 = X

0.25 = X

1/4 = X

Therefore, if the homeowner helps the roofer it will take 4 days to roof the house.

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A
Tanzania [10]

Answer:

$45.50

Step-by-step explanation:

1. $65.00 ÷ 100 = 0.65

2. 0.65 x 30 = $19.50

3. $65.00 - $19.50 = $45.50

4 0
2 years ago
Find the values of x and y
denis23 [38]

Answer:

x = 29.44

y = 34

Step-by-step explanation:

For this problem, we will simply use trigonometry to find the values of y and x for the given triangle.

The two trigonometric functions we will use are tangent and sine.

The general form for tangent is:

tan (Θ) = opposite / adjacent

The general form for sine is:

sin (Θ) = opposite / hypotenuse

For our given triangle, let's solve for x.

tan (30) = 17 / x

x * tan(30) = (17 / x) * x

x tan(30) = 17

x tan(30) * ( 1 / tan(30) ) = 17 * ( 1 / tan(30) )

x = 17 / tan(30)

x = 29.44

Now, let's solve for y.

sin (30) = 17 / y

y * sin(30) = (17 / y ) * y

y sin (30) = 17

y sin (30) * ( 1 / sin(30) ) = 17 * ( 1 / sin(30) )

y = 17 / sin(30)

y = 34

Hence, the values of x and y in our triangle are as follows:

x = 29.44

y = 34

Cheers.

5 0
3 years ago
Please help. Positive answers only please.
vredina [299]
First, find the slope of the line segment connecting the 2 given points:
        10-(-2)         12
m = ----------- = --------- = 3
         3-(-1)            4

Use the point-slope form:    y-(-2) = 3(x-[-1]), or y = 2 + 3x - 3, or y = 3x - 1 

Can you now fill in the blanks properly?

4 0
3 years ago
What is the missing value in the solution to the equation. y=3x-7
nikitadnepr [17]

Answer:

minus 4

Step-by-step explanation:

y=3x-7

y=3-7

y=-4

(1,-4)

5 0
3 years ago
Write 2.1 repeating as a mixed number
Cerrena [4.2K]
If you mean the one is repeating as 2.1111111....


You would write the decimal as a mixed number of 2 and 1/9 as 1/9 would equal to the 0.1111111.


Hope that helps!
6 0
3 years ago
Read 2 more answers
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