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siniylev [52]
2 years ago
9

The length of one leg of a right triangle is 24 ft, and the length of the hypotenuse is 40 ft.

Mathematics
2 answers:
grandymaker [24]2 years ago
4 0
First set up your formula. A squared plus b squared equals c squared. C squared is the hypotenuse. Set it up like this;

24 squared plus b squared equals 40 squared.

576 plus b squared equals 1600

B squared equals 1600 - 576

B squared equals 1024

Then you square root it

The answer is 32.
Mila [183]2 years ago
3 0
H^2=x^2+y^2

y^2=h^2-x^2

y^2=40^2-24^2

y^2=1024

y=√1024

y=32 ft
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At a price of $9 per box of oranges, the supply is 320,000 boxes and at a price of $8.50 per box, the supply is 270,000 boxes. F
artcher [175]

We want to find a linear equation that models the given situation.

The solution is p = $0.0001*q - $23

The general linear equation is:

p = m*q + c

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If we know that the line passes through two points (x₁, y₁) and (x₂, y₂) then the slope can be written as:

m = \frac{y_2 - y_1}{x_2 - x_1}

Here we have the two points:

price = $9, boxes = 320,000

price = $8.50, boxes = 270,000

We can rewrite these as:

(320,000 , $9)

(270,000 , $8.50)

Then the slope of the line will be:

m = \frac{\$ 9 - \$ 8.50}{320,000 - 270,000}  = \$ 0.00001

Then the line is something like:

p = $0.0001*q + c

To find the value of c we can use one of the two given points, I will use the first one, (320,000 , $9).

Replacing that in our equation we get:

$9 = $0.0001*320,000 + c  

$9 - $0.0001*320,000  = c = -$23

Then the linear equation is:

p = $0.0001*q - $23

If you want to learn more you can read:

brainly.com/question/11687874

3 0
2 years ago
The cooking club made some pies to sell at a basketball game to raise money for the new math books. The cafeteria contributed tw
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Answer:

10

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Write the standard equation for each circle:<br> Center at (-1,6) with radius 1/3
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The answer is:
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7 0
3 years ago
.......................
hodyreva [135]

Answer:

1) when tomato patch is 6.5 feet the area is 191.75 sq.ft

2)  when tomato patch is 7 feet the area is 217 sq.ft

3) when area is 338 sq.ft the tomato patch is 9.0778 feet

4) when area is 147.25 sq.ft the tomato patch is 5.543799 feet

Step-by-step explanation:

The given equation is  :

3x^2 + 10x

Length of Tomato (in feet)                                       x,  6.5   ,  x   ,     7

Patch Area of Vegetable Garden (in square feet) 338, x , 147.25, x

So we can find the missing terms with the help of the equation 3x^2 + 10x

Putting the values of x from the length of the tomato patch

1)  3x^2 + 10x= 3(6.5)²+ 10 (6.5)=126.75+ 65= 191.75 square feet

2) 3x^2 + 10x= 3(7)² +10 (7)= 147+70= 217 square feet

So the area of  her vegetable garden for a variety of  lengths of the tomato patch= 6.5 feet is 191.75  square feet

and for 7 feet is 217 square feet

Similarly we can find the length of the tomato patch from the area by again using the given equation  3x^2 + 10x

So when area = 338 square feet

The equation becomes  

3x^2 + 10x= 338

Rearranging it :     3x^2 + 10x-338 =0

This is a quadratic equation and can be solved with the help of the formula.

Here a= 3, b= 10 and c= -338

x = -b±√b²- 4ac/2a

Putting the values of a,b,c we get

x= -10±√100+ 4056/6

x= -10± 64.467/6

x= 54.467/6 or -74.467/6   we ignore the negative value because the garden cannot have the negative area.

x= 9.0778 feet

Similarly repeating the same process would give

So when area = 147.25 square feet

The equation becomes  

3x^2 + 10x= 147.25

Rearranging it :     3x^2 + 10x-147.25 =0

This is a quadratic equation and can be solved with the help of the formula.

Here a= 3, b= 10 and c= - 147.25

x = -b±√b²- 4ac/2a

Putting the values of a,b,c we get

x= -10±√100+ 1767/6

x= -10± 43.208/6

x= 33.208/6 or -53.208/6  we ignore the negative value because the garden cannot have the negative area.

x= 5.543799 feet

6 0
3 years ago
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