Answer:
Steve gave his mother $75.
Step-by-step explanation:
Steve earned a total of $125. Sixty percent of that went to his mother. Convert 60% into the equivalent decimal fraction and multiply as indicated:
0.60($125) = $75
Steve gave his mother $75.
Answer:
9 x 8 = 72
This equation shows that 9 is a factor of 72 because 9 times something is 72 in this equation. Hope it helps!
The rectangle was basically cut into two right angles so all you have to find is the length of the triangle. Using what we know which is the h<span>ypotenuse and the height, use the equation x= the square root of c^2 - a^2.
The base is x = 9.17 in</span>
We turn -5,12 into polar coordinates. It's a Pythagorean Triple so
r = 13 Ф=arctan(-12/5) + 180° ( in the second quadrant )
so -5 = 13 cos Ф, 12 = 13 sin Ф
12 sin x - 5 cos x = 6.5
13 sinФ sin x + 13 cos Ф cos x = 6.5
13 cos(x - Ф) = 6.5
cos(x - Ф) = 1/2
cos(x - Ф) = cos 60°
x - Ф = ± 60° + 360° k integer k
x = Ф ± 60° + 360° k
x = 180° + arctan(-12/5) ± 60° + 360° k
That's the exact answer;
x ≈ 180° - 67.38° ± 60° + 360° k
x ≈ 122.62° ± 60° + 360° k
x ≈ { 62.62°, 182.62°} + 360° k, integer k