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drek231 [11]
3 years ago
8

Please Help for both 6 and 7. I’m confused on both. Please show Explanation. Will Select Brainliest.

Mathematics
1 answer:
krek1111 [17]3 years ago
8 0

answer: 32, 72

question 6

angle PQR and 148 are supplementary angles, so they add up to 180

PQR + 148 = 180

PQR = 180 - 148 = 32

question 7

in triangle RTS, all three angles must add up to 180

angle R = angle PQR = 32

angle S = 180 - 104 = 76 (because of supplementary angles)

angle T = angle RTS (we need to find this)

32 + 76 + angle RTS = 180

angle RTS = 72

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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
Serena’s average speed during her training run was 8 kilometers per hour over the 2 hours that she ran. What was the total dista
Volgvan

Step-by-step explanation:

so, we just enter the given data into the given formula. and then calculate. it does not get easier than that.

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7 0
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17/18 - 8/9 equal out to
Nutka1998 [239]
\frac{17}{18}-\frac{8}{9}=x
You must find a common denominator(bottom)
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Answer:

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Step-by-step explanation:

8 0
3 years ago
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