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expeople1 [14]
3 years ago
10

a reflecting pool is shaped like a right triangle with one leg along the wall of a building. the hypotenuse is 9 feet longer tha

n the side along the building. the third side is 7 feet longer than the side along the building. find the length of all three sides of the reflecting pool
Mathematics
2 answers:
Eva8 [605]3 years ago
5 0

a^2 + b^2 = c^2

9^2 + 7^2 = get the answer then find the square root of it

almond37 [142]3 years ago
4 0

Answer:  The length of all three sides of the reflecting pool are 8 feet , 17 feet and 16 feet.

Step-by-step explanation:

Let sides along the building be 'x',  then the measure of hypotenuse = x+9 and the measure of third side = 7+x

Since , the reflecting pool is shaped like a right triangle.

Then , by using Pythagoras theorem , we have

(x+9)^2=x^2+(x+7)^2\\\\\Rightarrow\ x^2+81+18x=x^2+x^2+49+14x\ \ [\text{Using }(a+b)^2=a^2+b^2+2ab ]]\\\\\Rightarrow\ x^2+81+18x=2x^2+49+14x\\\\\Rightarrow\ x^2-4x-32=0\\\\\Rightarrow\ x^2-8x+4x-32=0\\\\\Rigtarrow\ x(x-8)+4(x-8)=(x-8)(x+4)\\\\\Rightarrow\ x=8\ or -4

But length cannot be negative , it means x= 8

Now, the length of side along building = 8 feet

Length of hypotenuse = 9+8 =17 feet

Length of third side = 8+7= 16 feet

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9x + 26 + 7x - 17 = 2x + (-3x) + 5x
slega [8]
9x + 26 + 7x - 17 = 2x + (-3x) + 5x =
16x + 9 = 2x - 3x + 5x =
16x + 9 = 4x
9 = 4x - 16x
9 = - 12x
-9/12 = x
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4 0
2 years ago
The students at George's school recently raised money to help the victims of the hurricane in Puerto Rico. George's sixth grade
Nikitich [7]

Answer:

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Step-by-step explanation:

all you have to do is multiply 260 by four and then you have your answer

5 0
2 years ago
Mike drove 100 miles in a rental car and was charged $58.00. Jane rented the same car after Mike had rented it and was charged $
timama [110]

Answer:

y= 48 + 0.1x

x= miles driven

Step-by-step explanation:

<u>We need to calculate the fixed and variable cost (per mile) of renting a car. To do that, we will use the high-low method:</u>

Variable cost per unit= (Highest activity cost - Lowest activity cost)/ (Highest activity units - Lowest activity units)

Variable cost per unit= (65 - 58) / (170 - 100)

Variable cost per unit= $0.1 per mile

Fixed costs= Highest activity cost - (Variable cost per unit * HAU)

Fixed costs= 65 - (0.1*170)

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Fixed costs= LAC - (Variable cost per unit* LAU)

Fixed costs= 58 - (0.1*100)

Fixed costs= $48

y= 48 + 0.1x

x= miles driven

7 0
3 years ago
Which line has a y-intercept of –2?<br> A ℓ<br> C t<br> B p<br> D both ℓ and t
Troyanec [42]

I can't answer this question without a picture of the lines.

6 0
3 years ago
What is the slope-intercept form of the equation for the line?
mart [117]

Answer:

(-4, 2) and (4, -5)

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y = -7/8 * (x + 4) + 2

y = -7/8 * x - 3/2

8 0
2 years ago
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