Answer:
682,000 miles
Step-by-step explanation:
Using the ratio of 186,000 miles per second:

we can set up a proportion (equivalent ratios) to find the distance, in miles, from the earth to the moon
where 'x' is the number of miles between the earth and the moon
Cross-multiply: x = 186,000*
Solve for x = 682,000 miles
Sin(A) / a = Sin(C)/c
Sin(A) = a * Sin(C)/c
Sin(A) = 32 * Sin(30)/16
Sin(A) = 32 * 0.03125
Sin(A) = 1
A = 90°
<span>By the law of sines, angle A must be 90 degrees. That makes side a the hypotenuse of a 30-60-90 triangle. There is only one triangle. The third side is 16</span>√<span>3, and the third angle 60</span>°<span>.</span>
I’m guessing that this is for systems of equations?
n - nickels
d - dimes
These are the equations you start off with.
n = 5d-2
0.95 = 0.10d+0.05n
Substitute the top equation for n into the variable n in the bottom equation.
0.95 = 0.10d+0.05(5d-2)
Solve for d.
0.95 = 0.10d+0.25d-0.10
1.05 = 0.35d
3 = d
Substitute d into the top equation and solve for n.
n = 5(3)-2
n = 15-3
n = 12
There are 3 dimes and 12 nickels in the coin purse! Hope this helped <3
499+49.99x=y
499 is the initial cost of the computer
49.99x means you pay 49.99 per game
y is the total cost