Answer:
a) x = 3.0625m
y = 45.9375 m
b) A = 140.68359375 m²
Step-by-step explanation:
Let x be the length
Let y be the width
2x + 2y = 98
x + y = 49
y = 3(5x)
y = 15x
x + 15x = 49
16x = 49
x = 3.0625 m
y = 15(3.0625) = 45.9375
A = xy = 3.0625(45.9375) = 140.68359375
144 inches. 12 feet in one hour
12 inches per feet
12feet x 12 inches per foot= 144 inches
Answer:
7
9
Step-by-step explanation:
key is the number of letters in each word
Midpoint
We know AC is a segment and B is its midpoint. This means the length of the segment AB is half the length of the segment AC. This also means the length of the segment BC is half the length of AC, and equal to AB.
This can be visualized as follows:
Since AB=7, then BC = 7 and AC=AB+BC = 14
Answer: BC = 7, and AC=!4
Answer:
7.92 cubic units
Step-by-step explanation:
The volume formed is V = ∫πx²dy
Now, since y = x³/4, x = ∛(4y). Also if x = 0, y = 0³/4 = 0 and the curve intersects the line y = 1. So the limits of integration are y = 0 to y = 1
So, V = ∫₀¹πx²dy
= ∫₀¹π[ ∛(4y)]²dy
= π(∛4)²∫₀¹[ ∛(y]²dy
= π(∛4)²∫₀¹y^³/₂dy
= π(∛4)²[y^⁵/₂]₀¹
= π(∛4)²[1^⁵/₂ - 0^⁵/₂]
= π(∛4)²[1 - 0]
= π(∛4)²
= 7.92 cubic units
