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postnew [5]
2 years ago
15

F (x) = x — 1 — 3, and

Mathematics
1 answer:
Oduvanchick [21]2 years ago
4 0
<h2>Answer:</h2><h3>I do not see any question content, Try re-wording your problem and re-post your question. Once that is done I would love to help. </h3>
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cos theta = 4/5, 0˚&lt; theta &lt; 90˚ use the information given to find sin2theta, cos2theta, and tan 2theta
NikAS [45]
First calculate \sin\theta.

\sin^2\theta+\cos^2\theta=1\\\\\sin^2\theta=1-\cos^2\theta\\\\\sin^2\theta=1-\left(\dfrac{4}{5}\right)^2\\\\\\\sin^2\theta=1-\dfrac{16}{25}\\\\\\\sin^2\theta=\dfrac{9}{25}\quad|\sqrt{(\dots)}\\\\\\\sin\theta=\sqrt{\dfrac{9}{25}}\\\\\\\boxed{\sin\theta=\dfrac{3}{5}}

We take positive value of sinθ because 0° < θ < 90°
Now we could calculate sin2θ, cos2θ and tan2θ:

\sin2\theta=2\sin\theta\cos\theta=2\cdot\dfrac{3}{5}\cdot\dfrac{4}{5}=\dfrac{2\cdot3\cdot4}{5\cdot5}=\dfrac{24}{25}\\\\\\\cos2\theta=\cos^2\theta-\sin^2\theta=\left(\dfrac{4}{5}\right)^2-\left(\dfrac{3}{5}\right)^2=\dfrac{16}{25}-\dfrac{9}{25}=\dfrac{7}{25}\\\\\\&#10;\tan2\theta=\dfrac{\sin2\theta}{\cos2\theta}=\dfrac{\frac{24}{25}}{\frac{7}{25}}=\dfrac{24\cdot25}{7\cdot25}=\dfrac{24}{7}=3\dfrac{3}{7}
5 0
2 years ago
Read 2 more answers
Lyles bought a pack of 12 cookies. One-third of the cookies are peanut butter. How many of the cookies in the pack are peanut bu
DanielleElmas [232]
Hi! :)

So since you're trying to find \frac{1}{3} of 12, you would just need to divide 12 by 3. The answer to this would be that 4 of the cookies were peanut butter.

Hope this helps!
8 0
3 years ago
What is 16/40 (A fraction) In lowest terms?<br> a. 2/5<br> b. 1/5<br> c. 1/4<br> d. 3/8
topjm [15]
The answer is 2/5


16/40 8/20 4/10 2/5
6 0
3 years ago
Read 2 more answers
Which equation requires the multiplication property of equality to be solved? 201.6 = 11.2 f 35.4 = z times 3.1 StartFraction t
Mila [183]

The answer is

c. t/3.2 = 15.1

201.6 = 11.2 + c

4 0
3 years ago
Offering 50 points!
Step2247 [10]

Answer:

-580

Step-by-step explanation:

Simplify -8 + -4 to -8 - 4

Simplify -8 - 4 to -12

Since power of 2 is even, the -12 will be a positive

Simplify 12^2 to 144

Simplify 12 over 3 to 4

Simplify -4 * 144 to -576

-576 - 6 + 2

4 0
3 years ago
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