H(10) is the altitude of a hot air balloon overtime after 10 minutes. In order to find h(10)'s value, you just have to substitute 10 as t in the equation. h(10) and h(t) represents the value of y in a linear equation. So pretty much: h(10)= 210 - 15(10). If calculated correctly, h(10)=60.
Answer:x = 7√3/3
Step-by-step explanation:
The given triangle is a right angle triangle. To determine the value of x, we would apply trigonometric ratios of tan but the opposite side and adjacent sides would depend on the reference angle used. Taking 30 degrees as the reference angle,
Tan # = opposite side/adjacent side
Opposite side = x
Adjacent side = 7
# = 30 degrees
Therefore,
Tan 30 = x/7
x = 7tan30 = 7 × 1/√3 = 7/√3
= 7/√3 × √3/√3 = 7√3/3
Answer:
-1
Step-by-step explanation:
For piecewise functions, you should look at the range of values and see where the number you are looking for falls. In this case, -1 is included in the domain of the middle equation, so you will be using f(x) = x
Then, all you have to do is plug in -1 for x, so f(-1) = -1
75
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