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2 years ago

The sum of four times Juanita’s age and 16 is 100. Juanita is j years old. How old is Juanita?

Mathematics

1 answer:

nirvana33 [79]2 years ago

3 0

Answer:

Step-by-step explanation:

Juanita is 36 years old.

100 - 16 x 4

Hope this helps!

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Find n. Perimeter = 46 in.<br>8 in.

Lana71 [14]

Answer: 108 inches

Step-by-step explanation:

If length = 46, width = 8

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= 2 (46 + 8)

= 2 x 54

= 108 inches

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3 years ago

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2 years ago

1+2=21, 2+3=36,3+4=43,4+5=?

Anni [7]

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3 years ago

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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.

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

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3 years ago

QR is the midsection of triangle GHJ, what is the length of QR?

Xelga [282]

Answer:

Step-by-step explanation:

QR = 27 ÷ 2 = 13.5

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3 years ago