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lana [24]
3 years ago
7

Prove 2SinAsinB =cos(A-B)-cos(A+B)

Mathematics
1 answer:
Leni [432]3 years ago
8 0
Right side of the equation:
cos ( A - B ) - cos ( A + B ) =
= cos A cos B + sin A sin B - ( cos A cos B - sin A sin B ) =
= cos A cos B + sin A sin B - cos A cos B + sin A sin B =
= 2 sin A sin B    -  left side of the equation      ( correct )
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Hillary works at a video store. she earns $8.50 per hour plus 12% commission on all the weekly sales she makes. If she works 24
TiliK225 [7]

Answer: See explanation

Step-by-step explanation:

Let her sales be represented by x.

Based on the information given in the question, the equation to calculate her sales goes thus:

(8.50 × 24) + (12% × x) ≥ 324

204 + (0.12 × x) ≥ 324

204 + 0.12x ≥ 324

0.12x ≥ 324 - 204

0.12x ≥ 120

x ≥ 120/0.12

x ≥ 1000

Her sales is at least $1000

8 0
3 years ago
What is the answer to 3y-3=15+2y
Jobisdone [24]

Answer:

y=18

Step-by-step explanation:

3y-3=15+2y

3y-3+3=15+2y+3

3y=2y+18

3y-2y=2y+18-2y

y=18

I hope this helps!

3 0
3 years ago
Please answer quickly I will give BRAINLIEST to the person who is fastest and correct please hurry thank you
Snezhnost [94]

Answer:

0.5 m³

Step-by-step explanation:

You have a rectangular prism and a cube.  Find the volume of each separately.  After solving, add the two volumes together to find the total volume.

<em>Cube</em>

The side length is 0.5 m.

V = a³

V = (0.5 m)³

V = 0.125 m³

<em>Rectangular Prism</em>

The height is 0.75 m, the width is 0.5 m, the length is 1 m.

V = lwh

V = (0.75 m)(0.5 m)(1 m)

V = 0.375 m³

0.125 m³ + 0.375 m³ = 0.5 m³

6 0
4 years ago
Factor this expression completely and then place the factors in the proper location. Note: Place factors alphabetically!
Usimov [2.4K]

To solve this problem you must apply the proccedure shown below:

1. You have the following expression given in the problem above:

mn - 4m - 5n + 20

2. The first thing you must do to factor the expression is to group the terms, as following:

(mn-4m)+(-5n+20)

3. Now, choose the greatest common factor of each group:

m(n-4)-5(n-4)

4. Now, you need to factor the expression by factoring out the n-4

(m-5)(n-4)

The answer is: (m-5)(n-4)

5 0
3 years ago
In the triangle below, what is the length of BC ?<br> need help?!
Artemon [7]

Answer:

12

Step-by-step explanation:

just look at the other side since both are the same

4 0
3 years ago
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