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Black_prince [1.1K]
3 years ago
12

Two flag poles in front of the Court House are 12 ft tall. The distance from the top of one pole to the base of the other as sho

wn in the diagram is 20 ft. What is the distance between the two flag poles?
Mathematics
1 answer:
allsm [11]3 years ago
5 0
To calculate this you can use the Pythagorean Theorem, so if one pole is the height, the distance from top of one to bottom of other is hypotenuse, you can solve for the base by taking the square root of (20^2 - 12^2) or 16 which is the answer.
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Billy received a raise after his first year on the job to $45,000 from his initial salary of $42,400. What was his real raise st
solong [7]

Billy get 5.9% raise after completing first year.

<h3>What is PERCENTAGE?</h3>

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.

Here, Billy's initial salary = $ 42,500

After raise, salary become $ 45,000

Change in salary = Raised salary - Initial salary

                            = 45000 - 42500

                            = $ 2500

% Change = change / initial salary  X 100

                  = 2500 / 42500 X 100

                  = 0.0589 X 100

                  ≈ 5.9 %

Thus, Billy get 5.9% raise after completing first year.

Learn more about Percentage from:

brainly.com/question/14979505

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7 0
2 years ago
Let x²y +ay² = b be an Implicitly defined function, where a and b are fixed Constants; find dy/dx
geniusboy [140]

The value of the differential with respect to x is -xy/x²+ay

<h3>Implicit differentiation</h3>

Given the following function

x²y +ay² = b

We are to differentiate implicitly with respect to x

x²dy/dx + 2xy + 2aydy/dx = 0

(2x²+2ay)dy/dx = -2xy
dy/dx = -xy/x²+ay

Hence the value of the differential with respect to x is -xy/x²+ay

Learn more on implicit differentiation here: brainly.com/question/25081524

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3 0
2 years ago
Mariain buys a dress that costs 32 dollars she pays 10 percent sales tax
jeyben [28]

Answer:

the total cost would be $45.2

8 0
4 years ago
The daytime temperature in Pinedale was 7 1/2 degrees Celsius yesterday. Today the temperature dropped to -3 degrees Celsius. Th
shtirl [24]

Answer:

-10.5 deg

Step-by-step explanation:

Yesterday's temp = 7-1/2 deg (or 7.5 deg)

Today's temp = -3 deg

net change = today's temp - yesterday's temp

= -3 - 7.5 = -10.5 deg

4 0
3 years ago
Read 2 more answers
Robert invests $1100 at an annual interest rate of 8% for the period of 1 year. What equation shows the relationship between pri
Sholpan [36]

Answer:

88 dollars

The equation would be:

prt=i

(1)(.08)(1100)=88

Hope this helps! ☺

Step-by-step explanation:

8 0
3 years ago
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