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trasher [3.6K]
4 years ago
13

Use the angle difference identity to sovle 5cos2(theta) =1 for 0 degrees is less than or equal to theta is less than 360 degrees

Mathematics
1 answer:
12345 [234]4 years ago
7 0
Use cos (2∅)= 2cos² ∅ -1

5(2cos²∅ -1 )=1
10cos²∅ -5 = 1
10cos²∅ = 6
cos²∅ = 0.6
cos∅ = ± √(0.6)
∅=  39.2,180 - 39.2, 180 + 39.2 , 360 - 39.2
∅ = 39.2 , 140.8 , 219.2 , 320.8 
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Answer:

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Step-by-step explanation:

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3 years ago
Solve for x.<br> Sqrt8 (Sqrt2 - x) = 11
Alexus [3.1K]

Answer:\frac{-7\sqrt{2} }{4}

Step-by-step explanation:

So first, let's get rid of the parentheses. We can multiply it out to get \sqrt{16}-x\sqrt{8} =11. We know that the square root of 16 is ±4, so now our equation is ±4 - x\sqrt{8}=11. I'm guessing since the problem only has one solution it's most likely only positive 4, so let's revise our equation to 4 - x\sqrt{8}=11. We can use inverse operations to make the a little easier to solve: -7= x\sqrt{8}. We divide both sides by \sqrt{8} to get \frac{-7}{\sqrt{8} } =x, which we can rationalize (remove the square root from the denominator so that it's a proper answer) by multiplying by \frac{\sqrt{8} }{\sqrt{8} } (which is equal to one so we can use it) which is equal to \frac{-7\sqrt{8} }{8}. Let's finish this by simplifying it. \sqrt{8} =2\sqrt{2} (2x2^{2}). We can simplify it further by simplifying the 2, making it \frac{-7\sqrt{2} }{4}.

Hope this wasn't too confusing! I'll answer any questions.

8 0
3 years ago
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Draw an area model. Then, solve using the standard algorithm. 27x36
Ganezh [65]
Answer is 972 so i will like for you to make sure

3 0
3 years ago
Given f(x)=4x+6 and g(x)=9x+9<br> then what is f(g(−6))?
irakobra [83]
To solve this question, you can break it into 2 parts. First evaluate the function g(X)=9x+9 for g(-6). Which is g(-6) = 9(-6)+9 = -45. Then evaluate f(-45). F(-45)= 4(-45)+6= -180+6= -174. The final answer for f(g(-6))= -174.
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3 years ago
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Mario has 7 cups of milk. A one batch recipe for pancakes calls for 2/3 cup milk. To see how many batches he could make Mario fi
Inessa [10]

Mario's mistake is made when doing reciprocal.

7 / (2/3) =

I cannot divide by 2/3, but if I do reciprocal, I can multiply by 3/2. The seven comes first, so it should not be flipped.

Mario's mistake was when he flipped the 7 (or 7/1) to 1/7.

7 0
3 years ago
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