Answer:
The garden is 9 feet wide and 26 feet long.
Step-by-step explanation:
L = W+17
area = LW = 234
(W+17)W = 234
W²+17W-234 = 0
Quadratic formula
W = [-17 ± √(17² – 4·1(-234))] / [2·1]
= [-17 ± √1225] / 2
= [-17 ± 35] /2
= -26, 9
-26 is an extraneous solution
W = 9
L = W+17 = 26
The garden is 9 feet wide and 26 feet long.
Answer:
8/19 if you turn it into a inproper fraction.
Step-by-step explanation:
The product is 60.
We start out with the information we have. This forms a right triangle, with one leg being 24, the other leg x, and the hypotenuse 30. Using the Pythagorean theorem we have
x²+24²=30²
x²+576=900
Subtract 576 from both sides:
x²+576-576 = 900-576
x²=324
Take the square root of each side:
√x²=√324
x=18
We know that the formula for the volume of a triangular prism is V=(1/2bh)H, where b is the base of the triangle, h is the height of the triangle, and H is the height of the prism. Substituting our known information we have:
720=(1/2*18*24)y
720=216y
Divide both sides by 216:
720/216 = 216y/216
3 1/3 = y
This means the product of x and y would be:
18(3 1/3)
18(10/3)
180/3
60
Answer:
US = 128.15 ft
Step-by-step explanation:
tan 31° = 77/US
0.6009 = 77/US
0.6009US = 77
US = 128.15 ft
