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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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A factory makes widgets x and gadgets y. Widgets cost $3 and gadgets cost $5 each to make. The boss wants at least 10 widgets an
IgorLugansk [536]

Answer:

$130

Step-by-step explanation:

Because you multiple 3 and 10 to get 30 and 5 and 20 to get 100 and then add 100+30 to get 130 and that would be 130 dollars in one day

6 0
3 years ago
Neeeeeeeeddddd helpppppp pleaseeeeee
never [62]
X = 21, angle AGE = 98˚, and angle GHD = 98˚

Notice from the graph that angles AGE and BGH are supplementary. This means that their sum is 180˚. Therefore, to find the value of x, we must solve the equation (5x – 7) + (3x + 19) = 180

To do this, we must isolate the variable on one side by undoing the equation. We do this by first combining like terms. In this case, the variable values, and the non–variable values.

***Before doing this, make it all addition by converting – (+7) into + (–7)

So our equation is 5x + 3x + –7 + 19 = 180.

5x + 3x = 8x and –7 + 19 = 12      Now we have 8x + 12 = 180

This is a simple equation. We undo the addition by subtracting 12 from both sides:    8x + 12 – 12 = 180 – 12      8x = 168

Then, we undo the multiplication by dividing 8 by both sides:    8x ÷ 8 = 168 ÷ 8    x = 21      We can check to, as (5 • 21 – 7) + (3 • 21 + 19) = 180

Now, we can easily figure out the measurements of your angles: angle AGE = 5 • 21 – 7 = 98    So the measure of angle AGE = 98˚

Upon observing the diagram more closely, you can see that angle AGE and GHD are congruent, meaning they have the same measurements. This means that if angle AGE = 98˚, then so does angle GHD.

So, x = 21, angle AGE = 98˚, and angle GHD = 98˚

8 0
4 years ago
Find x and y<br><br><br> NEED HELP FASTTTTT
garri49 [273]

Answer:

x=2 y=2

Step-by-step explanation:

Second: x=3 y=1.5

3 0
3 years ago
&lt;Q and &lt;R are complementary angles. If m&lt;Q = (31 - 3x)° and m&lt;R = (19x - 5)°, find m&lt;R​
Amanda [17]

31-3x+19x-5=90

26+16x=90

-26 -26

--------------------

16x= 64

16x/16= 64/16

x=4

m <R=19 (4)-5= 71.

3 0
3 years ago
Read 2 more answers
Which pair of angles has congruent values for the sin x° and the cos y°?
Lesechka [4]
This one is A. they are complementary
5 0
3 years ago
Read 2 more answers
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