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3 years ago

(help me) Which is the correct operation to use to solve this problem?

Mathematics

1 answer:

antoniya [11.8K]3 years ago

4 0

D 1,020÷15=68 (that's the equation and the answer)

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given that sin theta= 1/4, 0 is less than theta but less than pi/2, what is the exact value of cos theta

lapo4ka [179]

Answer:

$\cos{\theta} = \frac{\sqrt{15}}{4}$

Step-by-step explanation:

For any angle $\theta$ , we have that:

$(\sin{\theta})^{2} + (\cos{\theta})^{2} = 1$

Quadrant:

$0 \leq \theta \leq \frac{\pi}{2}$ means that $\theta$ is in the first quadrant. This means that both the sine and the cosine have positive values.

Find the cosine:

$(\sin{\theta})^{2} + (\cos{\theta})^{2} = 1$

$(\frac{1}{4})^{2} + (\cos{\theta})^{2} = 1$

$\frac{1}{16} + (\cos{\theta})^{2} = 1$

$(\cos{\theta})^{2} = 1 - \frac{1}{16}$

$(\cos{\theta})^{2} = \frac{16-1}{16}$

$(\cos{\theta})^{2} = \frac{15}{16}$

$\cos{\theta} = \pm \sqrt{\frac{15}{16}}$

Since the angle is in the first quadrant, the cosine is positive.

$\cos{\theta} = \frac{\sqrt{15}}{4}$

3 0

3 years ago

BBC News had 6,632,512 viewers for its evening bulletin. What is the place value of the 3?

VashaNatasha [74]

6,632,512

the place value of the 3 is 30,000

hope it helps

6 0

3 years ago

(8b+12)+(3n+6)+(9b-4)

Bas_tet [7]

Answer:

17b+3n+14

Step-by-step explanation:

no any step

okk

finished

5 0

3 years ago

Read 2 more answers

The product of two 2-digit factors whose product is greater than 200 but less than 600

IRINA_888 [86]

10 × 30 = 300
(20 characters thing)

4 0

3 years ago

Use complete sentences to explain the relationship between tan 5pi/4 and tan pi/4. In your answer, reference specific values on

Kisachek [45]

Remark
pi/4 is between 0 and pi/2 which means that pi/4 is in the first quadrant.

5*pi / 4 is between pi and 3/2 pi which means that the angle is in the third quadrant.

So you are talking about one two angles that are in the first and third quadrants.

Step One
Find the Tangent of pi/4 using the unit circle as a reference.

Since pi/4 is 1/2 way between 0 and pi/2 you are referring to something that has and x value of 0.707 for an x value and 0.707 for a y value. (They are equal)

That is the point where the opposite / adjacent = 0.707/0.707 = 1

Step Two
Find the tangent of 5pi/4 using the unit circle.
Using the same argument as pi/4 this time the opposite / adjacent = -0.707/-0.707 = 1 ( the two minus signs cancel out.)

8 0

3 years ago