Step-by-step explanation:
-3x + 7y = 5x + 2y (you subtract the 2y from both sides)
-3× + 5y = 5x (then add 3x to both sides)
5y = 8x (use x = - 5)
5y = 8x - 5 = -40 (both sides are divided by 5)
y = -8
answer is (-5, -8)
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 answer is D.
You’re welcome!
Answer:
D. the object accelerates
Explanation:
Based on Newton's first law: "An object will maintain its state of rest or motion unless an external force acts on it"
An unbalanced forced means that there is a net force acting on the object. This will lead the object to either speed up, slow down, come to rest or change its direction.
This means that the net force caused by the unbalanced force will lead the object to accelerate.
Hope this helps :)
Answer: 117.2%
Step-by-step explanation:
Multiply both numerator and denominator by 100. We do this to find an equivalent fraction having 100 as the denominator.
Multiply both numerator and denominator by 100. We do this to find an equivalent fraction having 100 as the denominator.
= (1.172 × 100) × 1/100=117.2/100
Write in percentage notation: 117.2%
