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lions [1.4K]
4 years ago
12

Find cos (2 theta angle) if sin (theta angle) =4/5

Mathematics
1 answer:
nataly862011 [7]4 years ago
5 0
Sin(theta) = 4/5,cos^{2} (theta)=1-( \frac{4}{5})^{2} = 1 -  \frac{16}{25} = \frac{9}{25} We will switch it to formula: cos(2 theta)=cos^{2} (theta)-sin^{2} (theta)= \frac{9}{25} - \frac{16}{25}=- \frac{7}{25}

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Pia drove faster because she went farther than Ben in 3 hours.
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In simple regression analysis, the standard error is ________ greater than the standard deviation of y values.
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2 years ago
Figure ABCD is a kite. The area of ABCD is 48 square units. The length of line segment BD is 8 units. What is the length of AC?
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7 0
3 years ago
Given that f(x)=x^2-4x -3 and g(x)=x+3/4 solve for f(g(x)) when x=9
SSSSS [86.1K]

Answer:

f(g(9)) = 945/16

Step-by-step explanation:

To find f(g(x)), you have to substitute g(x) wherever there is an x in f(x).

g(x) = x + 3/4

f(x) = x² - 4x - 3

f(g(x)) = (x + 3/4)² - 4(x + 3/4) - 3

f(g(x)) = x² + 3/2x + 9/16 - 4x + 3 - 3

f(g(x)) = x² - 5/2x + 9/16 + 3 - 3

f(g(x)) = x² - 5/2x + 9/16

Now, put a 9 wherever there is an x in f(g(x)).

f(g(9)) = (9)² - 5/2(9) + 9/16

f(g(9)) = 81 - 5/2(9) + 9/16

f(g(9)) = 81 - 45/2 + 9/16

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f(g(9)) = 945/16

7 0
3 years ago
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Answer:

y=2x+0 or y=2x

Step-by-step explanation:

y=mx+b

m=2

b=0

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3 years ago
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