Answer:
15.4
Step-by-step explanation:
sin 17° = 4.5 /x
x = 4.5 / sin 17° = 4.5 /0.2924
= 15.4
Answer:
3,4,5
Step-by-step explanation:
Here, we want to select the set that could work and the sides of a right angled triangle
the correct answer is 3,4,5
These set are called a Pythagorean triple
This is because adding the square of the two smaller number will give the square of the largest number
What we are saying here is that by adding the square of 3 and 4, we get the square of 5 which illustrates that Pythagoras theorem works for the set
The equivalent expression of 
is 
<h3>How to determine the equivalent expression?</h3>
The logarithmic expression is given as:
The law of logarithm states that:
log(a) - log(b) = log(a/b)
This means that the expression can be split as:
Hence, the equivalent expression of is
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<h3>
Answer: 20% increase</h3>
======================================================
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.
