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
Using translation concepts, the equation of F(x) is:
A. 
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The parent function is:
For function F(x), we have that:
- It was shifted down 2 units, hence F(x) = G(x) - 2.
- It was vertically compressed by a factor of 3, hence
Then the equation is:
A.
More can be learned about translation concepts at brainly.com/question/28098112
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Answer: 25/36
Step-by-step explanation:
Multiply:
2/3 * 10/24 = 20/72 = 5/18
-3 1/8 * -4/5 = 5/2
5/18 * 5/2 = 25/36
Answer: 12 inches
Step-by-step explanation:
For Kohl’s:
Purchase Price:
$60
Discount:
(60 x 25)/100 = $15.00
Final Price:
60 - 15.00 = $45.00
You would save $15.00 from Kohl’s and pay only $45.00
For Target:
Purchase Price:
$38
Discount:
(38 x 15)/100 = $5.70
Final Price:
38 - 5.70 = $32.30
You would save $5.70 from Target and pay only $32.30
Hope this helps! :)
