Length of the rectangle is 14 ft and width is 6 ft
Step-by-step explanation:
- Step 1: Let the width of the rectangle be x, then length = 8 + x. Find dimensions if area = 84 ft²
⇒ Area of the rectangle = length × width
⇒ 84 = x(8 + x) = 8x + x²
⇒ x² + 8x - 84 = 0
⇒ x² + 14x - 6x - 84 = 0 (Using product sum rule to factorize)
⇒ x(x + 14) - 6(x + 14) = 0
⇒ (x + 14)(x - 6) = 0
⇒ x = -14, +6 (negative value is neglected)
∴ x = 6 and x + 8 = 14
Answer:
C. 16.1
Step-by-step explanation:
a circle is 360 degrees so, the arc is 115/360(0.3194) of the whole circle
Circumference of a circle = 2πr = 2(3.1415)(8) = 50.264
multiply to find length of arc: 50.264*0.3194=16.05 which is rounded to 16.1
A. Complementary is the answer
The vertical height traveled is given by
h = ut +- (1/2)g*t^2
where
u = 57 ft/s, initial speed
t = tme, s
g = 32 ft/s^2
After 3 seconds,
h = (57 ft/s)*(3 s) - (1/2)*(32 ft/s^2)*(3 s)^2
= 171 - 144
= 27 ft
Answer: 27 ft
Answer:
18.75 ft
Step-by-step explanation:
The given scenario can be drawn as shown in the following attachment.
Given that,
and 
Therefore, 


ft
AB is the height of the house.