Answer:
a negative integer
Step-by-step explanation:
An hour is 60mins or 1 rotation
so
the hand moves 35/60 of the circumference of the clock
so
c=2pir
r=length of hand=7
c=2pi7
c=14pi
then, we have 35 out of 60 mins or 35/60=7/12
7/12 times 14pi=98pi/12=49pi/6≈25.66 inches
Answer:
B
Step-by-step explanation:
Using the cofunction identity
sin x = cos(90 - x)
Given
sin(3x + 19) = cos(5x - 25), then
3x + 19 = 90 - (5x - 25)
3x + 19 = 90 - 5x + 25
3x + 19 = 115 - 5x ( add 5x to both sides )
8x + 19 = 115 ( subtract 19 from both sides )
8x = 96 ( divide both sides by 8 )
x = 12 → B
Answer:
48.125 ft³
Step-by-step explanation:
The space occupied by the new generator is the product of it's dimension:
The space occupied = Length * width * height
Space occupied = 3 1/2 * 5 1/2 * 2 1/2
Space occupied = 7/2 * 11/2 * 5/2
Space occupied = (7*11*5) / (2*2*2) = 385 / 8
Space occupied = 48.125 ft³