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tester [92]
2 years ago
8

Please show work! Factor sin^2Θ + sin^2Θ cos^2Θ

Mathematics
1 answer:
ivanzaharov [21]2 years ago
5 0

Factorization of sin²θ + sin²θ cos²θ gives us; 2sin²θ - sin⁴θ

<h3>How to simplify Trigonometric Functions?</h3>

We want to simplify;

sin²θ + sin²θ cos²θ

Let us factorize out sin²θ to get;

sin²θ(1 + cos²θ)

Now, we know that cos²θ = 1 - sin²θ

Thus;

sin²θ(1 + cos²θ) = sin²θ(1 + 1 - sin²θ)

⇒ sin²θ(2 - sin²θ)

⇒ 2sin²θ - sin⁴θ

Read more about Trigonometric functions at; brainly.com/question/6904750

#SPJ1

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Pls help me answer these questions⬇⬇⬇
nasty-shy [4]

a. 202.5g

Since 45% of the energy drink is sugar

⇒ 45% of the total 450 grams will be made up of sugar

∴ sugar = \frac{45}{100} * 450

             = 202.5g

Thus, the can contains 202.5g of sugar

b. 3.2L

Since Simon used up 20% of the paint, the paint left in the can will now be 80% of the original 4 liters

∴ paint left = \frac{80}{100} * 4

                  = 3.2L

Thus, the can has 3.2 liters of paint left.

c. 1680 acres

Here, 30% of the farmer's crop is and the rest is wheat

⇒ 70% is wheat

Total acres of land planted= 2400

∴ Acres planted with wheat = \frac{70}{100} *2400

                                              = 1680 acres

Thus 1680 acres is planted with wheat

Learn more about percentages here-

brainly.com/question/843074

#SPJ2

7 0
2 years ago
Read 2 more answers
Camille put $1,250 in a new account at her bank. - The bank pays 2.25% interest compounded annually on this account. - Camille m
Galina-37 [17]

Answer:

FV= $1,397.1

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $1,250

Interest rate (i)= 2.25% compounded annually

Number of periods (n)= 5 years

<u>To calculate the future value, we need to use the following formula:</u>

FV= PV*(1+i)^n

FV= 1,250*(1.0225^5)

FV= $1,397.1

5 0
3 years ago
Which two expressions are equivalent and please explain so I can understand ​
PolarNik [594]

Answer: C

Step-by-step explanation: C is the correct answer because if you look at it, the only things that are changed around is the order of which the equation is . All the other ones, the parenthesis are moved around and when they are moved around, the equations become nonequivalent. Hope this helps! Please let me know if this is helpful or if you still don't understand

8 0
3 years ago
Solve the system of linear equations below by graphing. x-y=17 and 3x+y=3
soldier1979 [14.2K]

Answer:

x=5,y=-12

Step-by-step explanation:

You add the two equations to get: 4x=20

Then you get x=5.

You plug this in to x-y=17 to get y=-12

The answer is x=5 and y=-12

8 0
3 years ago
Dae opens a credit card with an APR of 19.49% compounded monthly. How much is charged in interest this month if her balance is $
borishaifa [10]
1567.34 this might be right
8 0
4 years ago
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