Answer:
x = 16
y = 16 sqrt(3)
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/hyp
sin 60 = y/ 32
Multiply each side by 32
32 sin 60 = y
32 ( sqrt(3) /2) = y
16 sqrt(2)
cos theta = adj/ hyp
cos 60 = x /32
32 cos 60 = x
32 (1/2) =x
16 =x
Answer:
(3, $42)
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Step-by-step explanation:
Geraldo gets paid the same hourly rate from day to day. This rate is the slope of the line representing his earnings. It is m = rise/run, which here is
m = $84/(6 hr), or m = $14/hr. Thus, the equation representing his earnings is y = ($14/hr)x.
The ordered pair (3, $42) satisfies this equation. None of the other three do.
Initially started 20 feet from the ground .
Went uphill 83 feet.
So: 20 + 83 = 103. The coaster is 103 ft above at this point.
Went down 42 feet
So: 103 - 42 = 61.
Went up 128 feet
So: 61 + 128 = 189
Finally, went down 90 feet
So: 189 - 90 = 99
99 ft above ground.
Answer:
Solution = -2x-7y=-4
Step-by-step explanation:
Add the x-component to the x-component, add the y-component to the y-component, add the number to the number.
It looks like this
5x + (-7x) = -2x
9y + (-2y) = -7y
1 + (-5) = -4
Then, put the solutions in the places where you see them in the equation, x goes first, y comes second, then this equals the number value.
-2x - 7y = -4