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
#SPJ1
Answer:
Plug x-7 in for y, in the bottom equation.
x - 7 = 2 + 2x - 4
x - 7 = 2x - 2
x = 2x + 5
-x = 5
x = -5
4x = 3y - 8
4 4
x = ³/₄y - 2
-16x + 4y = 32
-16(³/₄y - 2) + 4y = 32
-16(³/₄y) + 16(2) + 4y = 32
-12y + 32 + 4y = 32
-12y + 4y + 32 = 32
-8y + 32 = 32
- 32 - 32
-8y = 0
-8 -8
y = 0
x = ³/₄y - 2
x = ³/₄(0) - 2
x = 0 - 2
x = -2
(x, y) = (-2, 0)
Substract by 12 from 42, and keep going down until you hit -54, which is 8 hours!
6.25 is the answer to the problem
