Answer:
Part A) ![A=1.25W^2](https://tex.z-dn.net/?f=A%3D1.25W%5E2)
Part B) Length: 17.5 feet and Width: 14 feet
Step-by-step explanation:
Part A) Create an equation to represent the area of the basketball section A, in terms of the width W.
Let
L ----> the length of the rectangular basketball section
W ---> the width of the rectangular basketball section
we know that
The area of the rectangular basketball section is equal to
----> equation A
The length of the section will be 1.25 times the width of the section
so
----> equation B
substitute equation B in equation A
![A=(1.25W)W](https://tex.z-dn.net/?f=A%3D%281.25W%29W)
![A=1.25W^2](https://tex.z-dn.net/?f=A%3D1.25W%5E2)
Part B) Jackson decides to make the area of the basketball section 245 square feet. What are the dimensions, in feet, of the basketball section?
we have
![A=1.25W^2](https://tex.z-dn.net/?f=A%3D1.25W%5E2)
![A=245\ ft^2](https://tex.z-dn.net/?f=A%3D245%5C%20ft%5E2)
so
![245=1.25W^2](https://tex.z-dn.net/?f=245%3D1.25W%5E2)
solve for W
![W^2=245/1.25\\W^2=196\\W=14\ ft](https://tex.z-dn.net/?f=W%5E2%3D245%2F1.25%5C%5CW%5E2%3D196%5C%5CW%3D14%5C%20ft)
Find the value of L
substitute the value of W in the equation B
![L=1.25(14)=17.5\ ft](https://tex.z-dn.net/?f=L%3D1.25%2814%29%3D17.5%5C%20ft)
therefore
The dimensions are :
Length: 17.5 feet
Width: 14 feet
Answer:
1. More magnets are longer than 2 1/2
2. 10 magnets measure in whole numbers and 5 magnets between 2 whole numbers
3. Because the shortest magnet is 1 inch and the longest magnet is 4 inches.
Step-by-step explanation:
1. There are 7 magnets that are longer than 7 1/2 and only 6 magnets that are shorter than 2 1/2. (The 2 magnets that are exactly 2 1/2 are neither longer nor shorter therefore they do not apply to the question.)
9514 1404 393
Answer:
yes
Step-by-step explanation:
We can substitute the proposed solution values and see if the inequality is true.
0.50x +0.80y ≥ 20
0.50(20) + 0.80(32) ≥ 20
10 + 25.6 ≥ 20
35.6 ≥ 20 . . . . . . true; (20, 32) is a solution
Answer:
118.72
Step-by-step explanation:
I just used my calculator 0-0 hope this helped :)
Answer:
15
Step-by-step explanation:
check out the pic and tell me if you need further explanation