Given:
yesterday = 270
today = 216
yesterday's number of tickets sold is the basis of the percent of change. So, 270 is the 100%.
270 - 216 = 54 * value of the change in ticket sales
54/270 = 0.20 x 100% = 20% * percent of change
There was a 20% decrease in ticket sales.
<h3>
Answer: sin(C) = 3/5</h3>
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Explanation:
Recall that sine is the ratio of opposite over hypotenuse.
For angle C, the opposite side is AB = 24 as this leg is furthest as possible from angle C. The hypotenuse is always opposite the 90 degree angle.
So,
sin(angle) = opposite/hypotenuse
sin(C) = AB/AC
sin(C) = 24/40
sin(C) = (8*3)/(8*5)
sin(C) = 3/5
If you want to find the measure of angle C, then you apply the arcsine rule to both sides. Inverse sine is the same as arcsine.
By evaluating, we will see that for x = 7 h(x) exceeds g(x).
<h3>
For which value of x does h(x) first exceed g(x)?</h3>
We have:
h(x) = 2*(2)^x
g(x) = 22x - 4
Now we can evaluate both function in the different options:
h(5) = 2*(2)^5 = 64
g(5) = 22*5 - 4 = 106
We can see that for x = 5, h(x) does not exceed g(x), let's try the next one.
h(6) = 2*(2)^6 = 128
g(6) = 22*6 - 4 = 128
So, for x = 6 both functions have the same output, then for x = 7 we will see that h(x) exceeds g(x).
The correct option is B.
If you want to learn more about functions:
brainly.com/question/4025726
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