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USPshnik [31]
3 years ago
11

A camper attaches a rope from the top of her tent, 4 feet above the ground, to give it more support. If the rope is 8 feet long,

about how far will the stake need to be from the middle of her tent?
Mathematics
1 answer:
irina [24]3 years ago
6 0
Using the Pythagorean theorem  4 would be the height and 8 would be the hypotenuse, you need to find the base

4^2 + X^2 = 8^2

16 x x^2 = 64

x^2 = 64-16
x^2 = 48

x = sqrt(48) = 6.92 feet ( round answer as needed )
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 MAXIMUM POINT WILL BE GIVEN!!! I NEED THIS RN!!!!!!!!!!!!!!!!!!!!!!!!!
Lemur [1.5K]

Answer:

Part a) The variables are

x (the number of packages of Twinkies that were sold)

y (the number o boxes of juice that were sold)

Part b) The system of equations is

x+y=79 and 1.65x+1.36y=118.17

Part c) x=37,y=42

Part d) The value of y represent the number of boxes of juice that were sold y=42\ boxes\ of\ juice

The value of x represent the number of packages of Twinkies that were sold x=37\ packages\ of\ Twinkies

Step-by-step explanation:

Part a) Define the variables in this situation

Let

x-----> the number of packages of Twinkies that were sold

y----> the number of boxes of juice that were sold

Part b) Write a system of equations that model the problem

we know that

x+y=79 ------> equation A  

1.65x+1.36y=118.17 ---> equation B

Part c) Use the linear combination method to find the solution to the system you wrote in part b

Multiply equation A by -1.65

-1.65(x+y)=-1.65*79  

-1.65x-1.65y=-130.35 ------> equation C

Adds equation C and equation B

-1.65x-1.65y=-130.35\\1.65x+1.36y=118.17\\---------\\-1.65y+1.36y=-130.35+118.17\\-0.29y=-12.18\\y=42

Find the value of x

x+y=79

x+42=79

x=79-42=37

Part d) Using a complete sentence, explain what the solution found in part c represents

The value of y represent the number of boxes of juice that were sold

so

y=42\ boxes\ of\ juice

The value of x represent the number of packages of Twinkies that were sold

so

x=37\ packages\ of\ Twinkies

7 0
3 years ago
In words how do you write 1000
valkas [14]
Easy... :)

1,000= One thousand.


Thus, your answer. :D

8 0
3 years ago
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Slope=6 because the slope travels upwards by 6
4 0
2 years ago
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