9514 1404 393
Answer:
Step-by-step explanation:
Let w represent the width of the rectangle. Then the length is 3w+1 and the area is ...
w(3w+1) = 52
3w² +w -52 = 0
To factor this equation, we need factors of 3·52 = 156 that have a difference of 1. These values are 12 and 13, so we can rewrite the equation as ...
3w² +13w -12w -52 = 0
w(3w +13) -4(3w +13) = 0
(w -4)(3w +13) = 0
The positive value of w that makes a factor zero is ...
w = 4
Then the length is 3w+1 = 3(4) +1 = 13.
The length is 13 ft; the width is 4 ft.
The solution would be like
this for this specific problem:
sin 54 degrees = Height/718.0624
Height = (sin 54 degrees)(718.0624) = 580.9 ft
So the height of the balloon is 580.9 ft. I am hoping that this
answer has satisfied your query and it will be able to help you in your
endeavor, and if you would like, feel free to ask another question.
Answer:
Number of T-shirts sold = 80 and number of shorts sold = 20
Step-by-step explanation:
This question is incomplete. If we have to calculate the number of shirts and T-shirts sold by Dots then we will calculate this question as below.
Let the number of shorts sold = s
And the number of T-shirts sold = T
Dots sells T-shirts at $5 and shots at $8 in April.
Equation for this situation will be,
5T + 8s = 560 -----(1)
Number of T-shirts sold are 4 times the shorts,
T = 4s ----- (2)
By substituting the value of T from equation (2) in equation (1),
5(4s) + 8s = 560
20s + 8s = 560
28s = 560
s = 20
From equation (2),
T = 4(20)
T = 80
Number of T-shirts sold = 80 and number of shorts sold = 20
Answer:
8/15 or 0.53333...
Step-by-step explanation:
If they all painted at the same rate the equation is this
mothers 8
daughters 12 at 220 sq ft
mothers 6
daughters 8 at 152 sq ft
220 +152 =372 divided by 34 (because they all painted at the same rate)=10.94 sq ft they each painted
