X=2 is the answer for this question.
Answer:
Fraction: x = 247/21
Decimal: 11.76
Mixed Number: 11 16/21
Step-by-step explanation:
Brainliest Please!!
Calculation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year,
then, solving our equation
I = 20 × 0.05 × 2 = 2
I = $ 2.00
The simple interest accumulated
on a principal of $ 20.00
at a rate of 5% per year
for 2 years is $ 2.00.
D varies directly with t means
d=kt
105=3k
divide both sids by 3
35=k
d=35t
when t=8
d=35(8)
d=280
B
Draw a diagram to illustrate the problem as shown below.
When the smaller gear rotates through a revolution, it sweeps an arc length of
2π(4) = 8π inches.
Part 1
The same arc length is swept by the larger gear. The central angle of the larger gear, x, is
7x = 8π
x = (8π)/7 radians = (8π)/7 * (180/π) = 205.7°
Answer: 205.7° (nearest tenth)
Part 2
When the larger gear makes one rotation, it sweeps an arc length of
2π(7) = 14π inches.
If the central angle for the smaller gear is y radians, then
4y = 14π
y = 3.5π radians = (3.5π)/2π revolutions = 1.75 revolutions
Answer:
The smaller gear makes 1.75 rotations