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Marysya12 [62]
4 years ago
8

40 POINTS !!!!!PLEASE HELPPP!!!!!!

Mathematics
2 answers:
Svetllana [295]4 years ago
7 0

Answer:

cos(theta) = 3sqrt(58)/58

sin(theta) = 7sqrt(58)/58

Step-by-step explanation:

Cos(2theta) = 2cos²(theta) - 1

-20/29 = 2cos²(theta) - 1

2cos²(theta) = 9/29

cos²(theta) = 9/58

cos(theta) = sqrt(9/58)

cos(theta) = 3sqrt(58)/58

sin²(theta) = 1 - cos²(theta)

sin²(theta) = 1 - 9/58

sin²(theta) = 49/58

sin(theta) = sqrt(49/58)

sin(theta) = 7sqrt(58)/58

sqrt: square root

lubasha [3.4K]4 years ago
3 0

Answer:

sin(a) = \frac{7\sqrt{5} }{20}

Step-by-step explanation:

cos(2a) = cos²(a)-sin²(a) =  [1-sin²(a)]-sin²(a)= 1 - 2sin²(a)

1 - 2sin²(a)  = -20/29

- 2sin²(a) = -49/40

sin²(a) = 49/80

sin(a) = \sqrt{\frac{49}{80} }

sin(a) = \frac{\sqrt{49} \sqrt{80} }{80} = \frac{7*4\sqrt{5} }{80}

sin(a) = \frac{7\sqrt{5} }{20}

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HELP! BRAINLIEST AND 15 POINTS!
Rus_ich [418]

Step-by-step explanation:

first solve for h

fh(4)=f(\frac{4+3}{3} )=f(\frac{7}{3} )

f(\frac{7}{3} )=-3(\frac{7}{3} )-1=-7-1=-8

so fh(4)=-8

6 0
3 years ago
Identify the zero(s) of <img src="https://tex.z-dn.net/?f=f%28x%29%3D4x%5E%7B2%7D%20-%2020x%20-%2056" id="TexFormula1" title="f(
AURORKA [14]

Answer:

x = - 2, x = 7

Step-by-step explanation:

Given

f(x) = 4x² - 20x - 56

To find the zeros let f(x) = 0, that is

4x² - 20x - 56 = 0 ( divide through by 4 )

x² - 5x - 14 = 0 ← in standard form

(x - 7)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

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5 0
3 years ago
Simplify x to the 1/3 power (x to the 1/2 power + 2x to the 2 power )
OverLord2011 [107]

Answer:

x^(5/6) + 4(x^(7/3))


Step-by-step explanation:

Simplify x to the 1/3 power MULTIPLIED BY (x to the 1/2 power + 2x to the 2 power )


Simplify x^(1/3) × (x^(1/2) + (2x)^2)

= x^(1/3)(x^(1/2)) + x^(1/3)((2x)^2)

= x^(1/3+1/2) + 4(x^(1/3+2))

= x^(5/6) + 4(x^(7/3))


x^(1/3) is y such that y^3 = x

(x^(1/3) × x^(1/3) × x^(1/3)) = x^(1/3+1/3+1/3) = x^1 = x


x^(1/2) = √2 = y such that y^2 = x

(2x)^2 = 4x^2






6 0
3 years ago
3. Mr. James told Jill he would charge her $15 per hour, plus parts, to fix her bicycle.
ad-work [718]

Answer:

512

Solution:

so first you multiply 15 times 32 and get 480 than you add 32 and get 512.

7 0
3 years ago
PLZ HELP THIS IS DUE SOON!!!!!!! Divide. Round to the nearest hundredth if necessary.
ivolga24 [154]

Answer:

10

Step-by-step explanation:

when you divide 80.88 by 8.425 you get 9.6

and since youre rounding, you can round up 6 because its higher than 5

and your final answer should be 10.

hoped this helped! :)

4 0
3 years ago
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