Solution:
As we given that 
then using this conversion factor we can write 
and further it can be written as
Hence the required conversion factor is 2.54 cm/1 inch as we can see from the above calculation.
The amount of rim needed for each window is 141.4 in
<h3>How to find the length of the outer rim?</h3>
Since the outer rim is the length of an arc, we use the formula for length of an arc of a circle.
<h3>What is an arc?</h3>
An arc is part of section of the circumference of a circle
<h3>What is the length of an arc?</h3>
So, length of arc, L = Ф/360 × 2πR where
- Ф = central angle of arc and
- R = radius of circle.
Gven that for the window rim
- Ф = angle of the rim = 270° and
- R = radius of the rim = 30 in
Substituting the values of the variables into the equation for L, we have
L = Ф/360 × 2πR
L = 270°/360° × 2π × 30 in
L = 3/4 × 2π × 30 in
L = 3/2 × π × 30 in
L = 3 × π × 15 in
L = 45π in
L = 141.37 in
L ≅ 141.4 in
So, the amount of rim needed for each window is 141.4 in
Learn more about length of an arc here:
brainly.com/question/8402454
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The equation would be a-44=64÷4
Sarah's age is 60
Answer:
z=3
Step-by-step explanation:
→32+76+24z=180[Sum of all sides of a triangle]
→108+24z=180
→24z=180-108
→z=72/24
→z=3
