Answer:
![B) 5.7 × 107 = 609.9](https://tex.z-dn.net/?f=B%29%095.7%20%C3%97%20107%20%3D%20609.9)
Step-by-step explanation:
A) 604.2
B) 609.9
C) 537.42
D) 542.49
Answer:
If you use 3.14 as an approximation for PI, the answer will be A) 179 sq. feet.
Step-by-step explanation:
The process to determine the area of the sidewalk is computed by figuring the area of the outer circle (Diameter = 16' + 3' + 3') and subtracting the area of the fountain (Diameter = 16') from that.
Area of Circle = PI times Radius squared
Outer circle radius = (22 ft /2) = 11 ft
Area of outer circle (includes fountain area too) = 3.14 x 11 x 11 = 379.94 ~ 380
Inner circle radius = (16 ft / 2) = 8 ft
Area of Fountain = 3.14 x 8 x 8 = 200.96 ~ 201
Area of sidewalk = 380 - 201 = 179
Read more on Brainly.com - brainly.com/question/11852368#readmore
Use the formula for the volume of a cylinder to work out how much wax you need to make one candle.
π×5²×15 = 375π
Then divide the amount of wax you have by the amount of wax you need to produce one candle to work out how many candles you can make.
4500 ÷ 375π = 3.82
However, you can't produce 82% of a candle, so you have to round down to 3 candles.
Firts, Let
![x](https://tex.z-dn.net/?f=x)
be the repeated decimal that we are trying to convert , so
![x=10.9090909090](https://tex.z-dn.net/?f=x%3D10.9090909090)
equation (1)
Next, lets find how many digits are repeating:
It is pretty cleat that 90 is repeating, and 90 has two digits. So we are going to multiply our equation by 100 to move the decimal point two places:
![100x=1090.90909090](https://tex.z-dn.net/?f=100x%3D1090.90909090)
(2)
Subtract equation (1) from equation (2):
![100x-x=1090.90909090-10.90909090](https://tex.z-dn.net/?f=100x-x%3D1090.90909090-10.90909090)
![99x=1080](https://tex.z-dn.net/?f=99x%3D1080)
Solve for
![x](https://tex.z-dn.net/?f=x)
![x= \frac{1080}{99}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B1080%7D%7B99%7D%20)
We can conclude that 10.9090909091... expressed as a rational number, i<span>n the form pq where p and q are positive integers with no common factors, is </span>
![\frac{1080}{99}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1080%7D%7B99%7D%20)
.