Answer:
5% each hour
Step-by-step explanation:
in 1.5 hours she loses 7.5% of battery
get the percentage of loss for a half hour.
divide 1.5 and 7.5 by 3.
That gives a loss of 2.5% for every half hour.
Which gives a loss of 5% percent an hour.
Circumference is found with the formula
c = pi × d
d is diameter and we will use 3.14 for pi.
The diameter is the measure across the center of the circle. In the first problem, you are given the radius, so we have to multiply by 2 to get the diameter. Then we can use the formula.
12.4 in × 2 = 24.8 in (that's the diameter)
c = pi × D
c = 3.14 × 24.8
c = 77.872 inches
circumference is 77.872 inches.
Try the other problems on your own. They are just like this one. Just make sure they are giving you the diameter and not the radius. Post if you have problems.
Answer:
7 in
Step-by-step explanation:
If 12 inches of wire can be bought for $0.48, we can set up the following ratio:

Then, to determine how many inches of wire can be bought for $0.28, set up equivalent fractions, as such:

Then, cross-multiply and solve for
:




The number 2.71828182846... is irrational since the decimal portion "71828182846" goes on forever without any pattern. We cannot write this as a fraction or ratio of whole numbers.

since the hypotenuse is just the radius unit, is never negative, so the - in front of 8/17 is likely the numerator's, or the adjacent's side
now, let us use the pythagorean theorem, to find the opposite side, or "b"

so... which is it then? +15 or -15? since the root gives us both, well
angle θ, we know is on the 3rd quadrant, on the 3rd quadrant, both, the adjacent(x) and the opposite(y) sides are negative, that means, -15 = b
so, now we know, a = -8, b = -15, and c = 17
let us plug those fellows in the double-angle identities then
