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3 years ago

3. Find the volume of a

Mathematics

1 answer:

weeeeeb [17]3 years ago

4 0

Answer: 401.88

Step-by-step explanation: math

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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

A shepherd is paid rs.2400 for gazing 18 cows for 5 weeks.How much will be paid for gazing 20 cows for 8 weeks?

lys-0071 [83]

Answer:

Rs. 4266.67(approx) will be paid for gazing 20 cows for 8 weeks.

Explanation:

A shepherd is paid rs. 2400 for gazing 18 cows for 5 weeks .

⇒ Number of money paid for gazing 1 cow for 1 week is, $\frac{2400}{18\times 5} =\frac{400}{15}= \frac{80}{3}$

then,

for gazing 20 cows for 8 weeks is= Rs. $\frac{80}{3}\times (20\times 8)$

Therefore, the amount paid for gazing 20 cows for 8 weeks is, $\frac{80 \times 160}{3} = \frac{12800}{3} = Rs. 4266.66667$ or Rs. 4266.67(approx)

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3 years ago

WILL GIVE BRAINLIEST!!<br><br> please help meee the question is in the picture

Alla [95]

Answer:

The answer is 6cm

Step-by-step explanation:

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3 years ago

Three friends owe $18 to another friend for gas. If they plan to split the cost evenly, which of the following expressions could

Delvig [45]

The first one.. 18/3 is the answer

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3 years ago

I need help solving this equation -3=9/(5-2k)/5

Amanda [17]

Solve for k by simplifying both sides of the equation, then isolating the variable.

k= 14/5

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3 years ago