Answer:
b = 4
Step-by-step explanation:
The given expression is
Cos (11b + 2) = Sin (12b - 4)
Since, Sin(θ) = Cos(90 - θ)
Therefore, Cos (11b + 2) = Cos [90 - (12b - 4)]
Where 0 < b ≤ 90°
11b + 2 = 90 - (12b - 4)
11b + 2 = 94 - 12b
11b + 12b + 2 = 94 - 12b + 12b
11b + 12b + 2 - 2 = 94 - 2
23b = 92
b = 4
Therefore, b = 4 will be the answer.
Answer:
$116.25
Step-by-step explanation:
10% = $7.50
5% = $3.75
7.50 x 5 = 37.50
37.50 + 3.75 = $41.25
$75 + $41.25 = $116.25
Hope this helps !
Answer:
x = 9
Step-by-step explanation:
angle 1 plus angle 2 equals 90 because they are complementary. combining like terms gives you 8x + 18 = 90. then you get 8x = 72, which means that x equals 9
Answer:
D (x-10)
Step-by-step explanation:
x^2 - 8x - 20
(x -10)(x+2)
A) <span>Scale factor of the smaller pyramid to the larger pyramid in simplest form:
</span>6 m / 12 m = 1/2
b) <span>Ratio of the areas of the bases of the smaller pyramid to the larger pyramid:
</span><span>(1/2)^2 = 1/4 </span>
c) <span>Ratio of the volume of the smaller pyramid to the larger:
</span><span>(1/2)^3 = 1/8 </span>
d) <span>Volume of the smaller pyramid:
</span>(1/8) * 400 m^3 = 50 m^3
