Answer:
First option: cos(θ + φ) = -117/125
Step-by-step explanation:
Recall that cos(θ + φ) = cos(θ)cos(φ) - sin(θ)sin(φ)
If sin(θ) = -3/5 in Quadrant III, then cos(θ) = -4/5.
Since tan(φ) = sin(φ)/cos(φ), then sin(φ) = -7/25 and cos(φ) = 24/25 in Quadrant II.
Therefore:
cos(θ + φ) = cos(θ)cos(φ) - sin(θ)sin(φ)
cos(θ + φ) = (-4/5)(24/25) - (-3/5)(-7/25)
cos(θ + φ) = (-96/125) - (21/125)
cos(θ + φ) = -96/125 - 21/125
cos(θ + φ) = -117/125
Answer:
m-9
Step-by-step explanation:
12-9= 3
14-9= 5
18-9= 9
27-9= 18
The volume of the moving box will be 7776 cubic inches,.
<h3>What is the volume of the rectangular prism?</h3>
Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as
V = L × W × H
V = Base area x height
A moving box has a square base with an area of 324 in².
Its height is 24 inches.
Then the volume of the moving box will be
V = Base area x height
V = 324 x 24
V = 7776 cubic inches
More about the volume of the prism link is given below.
brainly.com/question/16246207
#SPJ1
Answer 1 3/5 × 40=64
Step-by-step explanation:
4×2/5=1 3/5 4×10=40
Answer:
C is closest to the actual result, $1126.03.
Step-by-step explanation:
Use the Compound Amount formula: A = P(1 + r/n)^(nt), where:
P is the original principal; r is the interest rate as a decimal fraction; n is the number of compounding periods per year, and t is the number of years.
Then we have A = $1000(1 + 0.04/4)^(4*3), or
= $1000(1.01)^12 = $1126.03
