Answer:
<h3>sin(x) = StartFraction 9 Over 15.2 EndFraction</h3>
Step-by-step explanation:
From the triangle given;
The length of hypotenuse FG = 15.2 meter
Since FE is the side facing the angle FGE, then;
the length of FE is opposite = 9 meters
m<FGE = x
According to SOH CAH TOA
sin theta = opp/hyp
sin m<FGE = FE/FG
Substitute the given values
sin x = 9/15.2
Hence the correct answer is sin(x) = StartFraction 9 Over 15.2 EndFraction
Answer:
Step-by-step explanation:
<h3>A.</h3>
The equation for the model of the geyser is found by substituting the given upward velocity into the vertical motion model. The problem statement tells us v=69. We assume the height is measured from ground level, so c=0. Putting these values into the model gives ...
h(t) = -16t² +69t
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<h3>B.</h3>
The maximum height is at a time that is halfway between the zeros of the function.
h(t) = -16t(t -4.3125) . . . . . has zeros at t=0 and t=4.3125
The maximum height will occur at t=4.3125/2 = 2.15625 seconds. The height at that time is ...
h(t) = -16(2.15625)(2.15625 -4.3125) = 16(2.15625²) ≈ 74.39 . . . feet
The maximum height of the geyser is about 74.4 feet.
Answer:
13
Step-by-step explanation:
where n is the number of terms, a1 is the first term and an is the last term. The sum of the first n terms of an arithmetic sequence is called an arithmetic series . Example 1: Find the sum of the first 20 terms of the arithmetic series if a1=5 and a20=62 .An arithmetic sequence is a sequence where the difference between any two consecutive terms is a constant. ... As with any recursive formula, the initial term of the sequence must be given. An explicit formula for an arithmetic sequence with common difference d is given by an=a1+d(n−1) a n = a 1 + d ( n − 1 ) .
where are the options am not seeing them