Answer:
4 inches.
Step-by-step explanation:
24 32
---- = -----
3 x
Cross multiply.
24x = (32)(3) = 96.
96 / 24 = 4.
Hope this helped and good luck! (:
Answer:
67.5°, 107.5°
Step-by-step explanation:
For supplementary angles, their sum equals 180°.
Let x be the first angle and y be the second angle, then
x + y = 180°.
It is given that x = y + 45°.
So x + y = 180°
substituting x into the equation, we have
y + 45° + y = 180°
simplifying, we have
2y + 45° = 180°
collecting like terms, we have
2y = 180° - 45°
2y = 135°
dividing through by 2, we have
y = 135°/2
y = 67.5°
Since y = 67.5°
then x = y + 45°
x = 67.5° + 45°
x = 107.5°
Answer:
sin(12°)
Step-by-step explanation:
Because sine and cosine are cofunctions, we can use the relation sin(90° - θ) = cosθ to show that cos(78°) = sin(90° - 78°) = sin(12°)
You want to find R. From angle R, you know the side lengths for opposite and hypotenuse. According to SohCahToa, that is sine. Sin (x) = Opposite / Hypotenuse = 2.5 / 5 = 0.5
Sine(x)=.5. To get x by itself divide both by the inverse of sine.
