Tanθ = 8.9352
θ = tan⁻¹ (8.9352)
<span>θ </span>≈<span> 83.614</span>°
The distributive property: a(b + c) = ab + ac
12(6k + 3) + 4(7 - 5k) = 12(6k) + 12(3) + 4(7) + 4(-5k)
= 72k + 36 + 28 - 20k = 52k + 64
Answer:
r =45.5 units
Step-by-step explanation:
The diameter is twice the radius, or the radius is 1/2 the diameter
r = d/2
r = 91/2
r =45.5 units
Answer:
Angle 1 = 105
Angle 2 = 75
Step-by-step explanation:
Angle 2 and angle 75 are corresponding angles.
Corresponding angles are equal.
So,
Angle 2 = 75
Angle 1 and angle 2 are linear pair angles.
Angle 1 + Angle 2 = 180
Angle 1 + 75 = 180
Angle 1 = 180 - 75
Angle 1 = 105
When waves travel from one medium to another the frequency never changes. As waves travel into the denser medium, they slow down and wavelength decreases. Part of the wave travels faster for longer causing the wave to turn. The wave is slower but the wavelength is shorter meaning frequency remains the same
