Answer:
Diameter: 10.8 cm
Circumference (in terms of π): 10.8π cm
Circumference (approximate): 33.91 cm
Step-by-step explanation:
Hi there!
<u>We're given:</u>
<u>1) Determine the diameter</u>
Multiply the radius 5.4 cm by 2
5.4 × 2 = 10.8
Therefore, the diameter of the circle is 10.8 cm.
<u>2) Determine the circumference of the circle</u>
Plug in the diameter 10.8
Therefore, the circumference of the circle in terms of π is 10.8π cm.
<u />
<u>3) Determine the approximate circumference of the circle </u>
Therefore, the approximate circumference of the circle is 33.91 cm.
I hope this helps!
The bar should be 8 1/24 from the each edge of the door.
We need to subtract 10 1/4 from 26 1/3 to get the fraction of the space not covered by the towel bar.
We also need to divide the difference by 2 because we placed the towel bar in the center of the door.
1st we need to convert the mixed fractions into fractions to perform subtraction.
26 1/3 = ((26*3)+1)/3 = 79/3
10 1/4 = ((10*4)+1)/4 = 41/4
Steps in Subtracting Fractions
Step 1. Make sure the denominator is the same. 3 and 4 are the denominators, they are not the same but they are factor of 12. So,
79/3 must be multiplied by 4 = 79 * 4 / 3 * 4 = 316 / 12
41/4 must be multiplied by 3 = 41 * 3 / 4 * 3 = 123 / 12
Step 2. Subtract the numerators and place them above the common denominator
316/12 - 123/12 = 316 - 123 / 12 = 193 / 12
Before we can simplify the fraction, we must divide it by two to get the measurement of each edge of the door.
Steps in dividing fractions.
Step 1. Get the reciprocal of the 2nd fraction.
1st fraction : 193 / 12
2nd fraction : 2 /1 ⇒ reciprocal 1/2
Step 2. Multiply the 1st fraction to the reciprocal of the 2nd fraction
193 / 12 * 1/2 = 193 * 1 / 12 * 2 = 193 / 24
Step 3. Simplify the fraction.
193 / 24 = 8 1/24
Answer:
It will take nine years and four months for the refrigerator to pay for itself.
Step-by-step explanation:
The new refrigerator which costs $1200, saves the family 22% annually in energy cost.
Since the old refrigerator costs $580 to run, we want to determine how many years it will take for 22% of $580 per year to make $1200.
22% of $580
= 580 × 0.22
= 127.6
That is, it saved then $127.6 per year.
Now,
$1200/127.6
≈ 9.4
Which means, it will take 9 years and 4 months for the refrigerator to pay for itself.
150% of 51 is 34. So your answer is 51
Answer:
Fixed expenses = 1767.07
Step-by-step explanation:
Andre calculated his variable and total expenses for last month.
His variable expenses is $2,863.09
His total expenses is $4,630.16
Now, Total expenses = Variable expenses + Fixed expenses
So, Fixed expenses = Total expenses - Variable expenses
⇒ F = T - V
⇒ F = 4630.16 - 2863.09
⇒ F = 1767.07
So, this the equation to represent Andre's fixed income. (Answer)
