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Lorico [155]
1 year ago
12

Solve the equation by first using a sum-to-product formula. (enter your answers as a comma-separated list. let k be any integer.

round terms to three
Mathematics
1 answer:
kykrilka [37]1 year ago
8 0

Solutions of the equation are 22.5°, 30°.

The given equation is sin(5θ) - sin(3θ) = cos(4θ)

We take left side of the equation

sin(5θ) - sin(3θ) = 2cos ((5θ+3θ)/2) (sin(5θ-3θ)/2)

=2cos4θsinθ  [From sum-product identity]

Now we can write the equation as

2cos(4θ)sin(θ) = cos(4θ)

2cos(4θ)sinθ - cos(4θ) = 0

cos(4θ)[2sinθ - 1] = 0

cos(4θ) = 0

4θ = 90°

θ = 90/4

θ = 22.5°

and (2sinθ - 1) = 0

sinθ = 1/2

θ = 30°

Therefore, solutions of the equation are 22.5°, 30°

For more information about trigonometric identities, visit

brainly.com/question/24496175

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The ratio of blue paint to yellow paint in a green paint mixture is 2:3. If you use 16 ounces of blue paint how much ounces of y
Verizon [17]

Answer:

Step-by-step explanation:

2 in 2:3 is the amount of blue paint

3 in 2:3 is the amount of yellow paint

Figure out how many times to multiply 2 to get 16:

16/2=8

Now, multiply 3 by 8, which would be equal to 24.

Ratio: 16:24

8 0
2 years ago
Cual es el resultado?
evablogger [386]
Es la b 1DM 5c 6d 0U

4.350+2.710+3.500= 10.560
Nacieron 10.560 productos en la huerta.
4 0
2 years ago
A garden supply store sells two types of lawn mowers. Total ales of mowers for the year were $8379.70. The total number of mower
Anestetic [448]

Answer:

The number of small mowers are 19 and the large mowers are 11.

Step-by-step explanation:

Given:

A garden supply store sells two types of lawn mowers. Total sales of mowers for the year were $8379.70. The total number of mowers sold the 30. The small mower cost $249.99 and the large mower costs $329.99.

Now, to find the number of each type of mower sold.

Let the number of small mower be x.

And the number of large mower be  y.

So, total number of mowers are:

x+y=30

x=30-y\ \ \ ....(1)

Now, the total sales of mowers are:

249.99(x)+329.99(y)=8379.70

Substituting the value of x from equation (1) we get:

249.99(30-y)+329.99y=8379.70

7499.7-249.99y+329.99y=8379.70

7499.7+80y=8379.70

<em>Subtracting both sides by 7499.7 we get:</em>

80y=880

<em>Dividing both sides by 80 we get:</em>

y=11.

The number of large mower = 11.

Now, to get the number of small mowers we substitute the value of y  in equation ( 1 ):

x=30-y\\x=30-11\\x=19.

The number of small mower = 19.

Therefore, the number of small mowers are 19 and the large mowers are 11.

6 0
3 years ago
X. y
vladimir1956 [14]
The slope is 2 because slope formula
6 0
2 years ago
Read 2 more answers
I NEED HELPPPPP. SOMEONE ANSWER THISSSS
Inga [223]

Answer:y=415 x = 21.5

Step-by-step explanation:

We can see 4x-37 = 49

4x = 86

x = 21.5

4(21.5) -3 = 83

Then we can see what the other side is because they are equal

y/5 = 83

83 x 5 = 415

y=415

3 0
3 years ago
Read 2 more answers
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