Hello!
I dont a graph to show you but I will solve the answer.
12.7 + 5.3 <span>≥ s
18 </span><span>≥ s
s </span><span>≤ 18
</span><span>That is your answer.
Enjoy.
~Isabella
</span>
Answer:
About 28.26 inches.
Step-by-step explanation:
The formula for circumfrence is c = 2(pi) * r.
We know that r = 4.5 (because the diameter is 9 inches).
So, the equation is c = 2(pi) * 4.5
Let's solve:
c = (2*3.14) * 4.5
c = 6.28 * 4.5
c = 28.26
Therefore, the final answer is 28.26 inches.
Of course, this is not exact because pi is irrational and goes on forever, but the question is asking for an estimate anyways.
<h3>
Answer: 7 cm</h3>
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Explanation:
x = side length of the original square (measured in cm).
One side increases by 8 cm to go from x to x+8. At the same time, an adjacent side decreases from x to x-2 (aka it decreases by 2 cm).
The x by x square turns into a x+8 by x-2 rectangle.
L = x+8 = length
W = x-2 = width
P = perimeter of rectangle
P = 2(L+W)
P = 2(x+8+x-2)
P = 2(2x+6)
P = 4x+12
The perimeter of this rectangle is 4x+12, which is set equal to the stated perimeter 40 cm. We'll use this to solve for x.
P = 40
4x+12 = 40
4x = 40-12
4x = 28
x = 28/4
x = 7
The square originally had side lengths of 7 cm.
Increasing this by 8 cm gets us x+8 = 7+8 = 15 cm. So L = 15.
Also, W = x-2 = 7-2 = 5 cm is the width.
Then note how P = 2(L+W) = 2(15+5) = 40 to help confirm the answer.
Answer:
5.) 13,841,287,201 x 2,401. 6.) 64⁴.
Step-by-step explanation:
PEMDAS requires parenthesis first, then exponents, then multiplication/division, and then addition/subtraction. For 5, lets find 7¹². According to my calculations, that is 13,841,287,201. Now for 7⁴. According to my calculations, that is 2,401. Now, we have 13,841,287,201 x 2,401. In math, an expression is a problem. If I solve it, it wouldn't be an expression, so I'll just leave it at that. For 6, we do the parenthesis first. 8² is 64. 64 to the fourth power is 16,777,216. If I solved it, it wouldn't be an expression, so we have to leave it at 64⁴. If you are wondering, 64⁴ is equal to 16,777,216. I hope this helps!
Answer:
1. Yes
2. No
Step-by-step explanation: