Start off by using the Pythagorean Theorem: a^2 + b^2 = c^2
12^2 + 35^2 = 37^2
144 + 1,225 = 1,369
1,369 = 1,369
If the left side equals the right side than it is a right triangle.
Your answer is: Yes
Have an amazing day and stay hopeful!
<h3>
Answer: 20% increase</h3>
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Explanation:
A = old value = 110
B = new value = 132
C = percent change
C = 100*(B-A)/A
C = 100*(132-110)/110
C = 20%
The positive C value means we have a percent increase, which corresponds to the fact that A = 110 increases to B = 132.
The B-A = 132-110 = 22 portion up top indicates that the increase is 22 pounds, which when divided over 110, gets us 22/110 = 0.20 = 20%
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Checking the answer:
20% of 110 = 0.20*110 = 22
She's able to lift 22 extra pounds on top of the 110 pounds she can handle previously, so she can now lift 110+22 = 132 pounds. The answer is confirmed.
Answer:
49π (or ~154) cm²
Step-by-step explanation:
A = area
A = πr²
r = radius
r = 7
A = π(7)²
= 49π
= 153.938040026 → 154 cm²
Answer:
an + 1 = an + 2n -1 ,a 1=1
a8= 50
Step-by-step explanation:
an+1=an+2n-1,a1=1
a6=a5+2x5-1
a6=26
a7=26+11
a7=37
a8=37+13
a8=50