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dlinn [17]
3 years ago
11

Simplify as far as possible.13cos (180° + x)sin (360° - X)sin (360° + x)cos (180° - x)​

Mathematics
1 answer:
KengaRu [80]3 years ago
6 0

Answer:

See below

Step-by-step explanation:

cos (180 + x) = - cos x

sin (360 + x) = sin x

sin 360 - x) = -sin x

cos (180 - x) = - cos x

3cos (180° + x)sin (360° - X) = -3cos x (- sin x) = 3 cosx sinx

sin (360° + x)cos (180° - x)​ = sin x (- cos x) = -sinx cosx

3cos (180° + x)sin (360° - X)sin (360° + x)cos (180° - x)​

= 3 cosx sinx (-sinx cosx) = -3 (sin x)^2 (cos x)^2

I am not sure what the question really is, but hopefully the above can steer you in the right direction.

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alex41 [277]

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Suzannes school are painting a rectangular mural outside the buillding that will be 15 feet by 45 feet the students are also goi
tatuchka [14]

Answer:

THE LENGTH OF THE STUDENTS PAINTING=15/3=5

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3 years ago
Your realized income is $36,864.00/yr. Your fixed and housing expenses are 32% and your savings are 15% of your realized income
andriy [413]

Answer:

You will have $1628.16 per month in discretionary money.

Step-by-step explanation:

In order to find the amount of money you have left for discretionary purposes at the end of the money, you need to calculate the total amount of your monthly pay is going towards expenses and savings.  Since there are 12 months in a year, your monthly income is $3072.  Of that amount, you spend 32% on housing and 15% on savings, for a total of 47%.  The remaining percentage of your income would be considered discretionary, which would account for 53%.  To find the amount of money, you take your monthly income and multiply it by 53%, or .53, which gives you $1628.16.  

6 0
3 years ago
Find the area of an equilateral triangle with side length 9.2 cm. Round your answer to 1 DP.
lbvjy [14]

Answer:

Area=36.66 cm^2

Step-by-step explanation:

First, you need the height.

Use the Pythagorean theorem:

hypotenuse^2=height^2+(1/2 base)^2  

It's one-half base because it's an equilateral triangle.

1/2 base =4.6

(9.2)^2-4.6^2=height^2

84.64-21.16=height^2

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Area=(1/2)(9.2)(7.97)=36.66 cm^2

3 0
3 years ago
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