Answer:
Correct answer: cos (a + b) = 0.345 and cos (a - b) = 0.577
Step-by-step explanation:
If both angles are acute, this means that they belong to the first quadrant in which all trigonometric functions are positive.
We first need to know the basic trigonometric equation or identity:
sin²α + cos²α = 1
given: cos a = 0.465 and sin b = 0.131
we must first calculate sin a and cos b
sin²a = 1 - cos²a ⇒ sin a = √ 1 - cos²a = √1- 0.465² 0 √1 - 0.216 = √0.784
sin a = 0.885
cos²b = 1 - sin²b ⇒ cos b = √1 - sin²b = √1 - 0.131² = √1 - 0.017 = √0.983
cos b = 0.991
cos (a + b) = cos a · cos b - sin a · sin b = 0.465 · 0.991 - 0.885 · 0.131
cos (a + b) = 0.461 - 0.116 = 0.345
cos (a + b) = 0.345
cos (a - b) = cos a · cos b + sin a · sin b = 0.465 · 0.991 + 0.885 · 0.131
cos (a - b) = 0.461 + 0.116 = 0.577
cos (a - b) = 0.577
God is with you!!!
Formula for the area of a circle:
A = πr² (A = Area π(pi) r = radius)
You know:
r = 14 inches So substitute/plug it into the equation
[Radius is (half) of the diameter. The diameter is 28, so half of 28 = 14]
A = πr² Plug in 14 into "r" since r = 14
A = π(14)² Find 14² --> 14 x 14 = 196
A = 196π in² Your answer is the 4th option
I think it’s the second one sorry if i’m wrong
Answer:
8 %
Step-by-step explanation:
To find the tax rate, we first have to find the tax
4.32 - 4 = .32
The tax rate is found by the tax / total
.32 /4 =.08
To change this to a percent multiply by 100
.08 * 100% = 8 %