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1 year ago

8

Evaluate. (3/8+3/4)−(1/3+1/6)

1 answer:

Bogdan [553]1 year ago

5 0

Answer:

0.625

Step-by-step explanation:

You must first calculcate what is in between the parentheses. Firstly, you add 3/8 + 3/4 (as shown in the beginning) to get 1.125. Second, you add 1/3 plus 1/6 (shown in the second part of the equation) to get 0.5. Lastly, you're left with 0.625 after subtracting 0.5 from 1.125.

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2 years ago

If sin t = -8/17 and t is a quadrant III angle, find cot t

nirvana33 [79]

Answer:cot t = 1.875

$sin t=\frac{-8}{17}$ but sin²t + cos²t = 1 ⇔ cos²t = 1 - sin²t

⇔cos t = $\sqrt{1-sin^{2}t }=\sqrt{1-(\frac{-8}{17})^{2} }=|\frac{15}{17}|$

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Step-by-step explanation:

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3 years ago

Find the volume of a pyramid with a square base, where the side length of the base is 7.5 cm and the height of the pyramid is 10

m_a_m_a [10]

Answer:

The volume is 191.3 $cm^3$

Step-by-step explanation:

Recall that the formula for the volume of a pyramid is given by the formula:

$Volume=\frac{B\,*H}{3}$

where B is the area of the pyramid's base, and H its height. So, in our case, the base is a square of length 7.5 cm, which gives 56.25 cm^2

Now, we use this value and the height 10.2 cm to find the volume:

$Volume=\frac{B\,*H}{3}\\Volume=\frac{56.25\,*10.2}{3}\\Volume=191.25\,\,cm^3$

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Ludmilka [50]

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