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2 years ago

Can someone help me, please

Mathematics

1 answer:

stellarik [79]2 years ago

3 0

Volume of pyramid:

$V = \dfrac{1}{3} Ah$

where
A = area of the base of the pyramid
h = height of the pyramid

In this case, the area of the base is 9 in.^2.
The height is 10 in.

$V = \dfrac{1}{3} (9~in.^2)(10~in.)$

$V = 30~in.^3$

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egoroff_w [7]

Answer:

$\frac{-3+ 2\sqrt{3}}{2}\textrm{ and }\frac{-3- 2\sqrt{3}}{2}$

Step-by-step explanation:

$3(2b+3)^{2}=36\\\frac{3(2b+3)^{2}}{3}=\frac{36}{3}\\(2b+3)^{2}=12$

Taking square root both sides, we get

$\sqrt{(2b+3)^{2}}=\pm \sqrt{12}\\2b+3=\pm \sqrt{4\times 3}\\2b+3=\pm 2\sqrt{3}\\2b+3-3=\pm 2\sqrt{3}-3\\2b=-3\pm 2\sqrt{3}\\b=\frac{-3\pm 2\sqrt{3}}{2}\\b=\frac{-3+ 2\sqrt{3}}{2}\textrm{ or }b=\frac{-3- 2\sqrt{3}}{2}$

Therefore, the values of $b$ are:

$\frac{-3+ 2\sqrt{3}}{2}\textrm{ and }\frac{-3- 2\sqrt{3}}{2}$

5 0

3 years ago

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Adante begins to evaluate the expression 3 1/3 x 5 1/4 using the steps below

Liula [17]

Answer:

$\frac{35}{2}$

Step-by-step explanation:

To solve this problem we need to write the mixed fraction as a fractional number, as follows:

$3 1/3 = 3 + \frac{1}{3} = \frac{9+1}{3} = \frac{10}{3}$

$5 1/4 = 5 + \frac{1}{4} = \frac{20+1}{4} = \frac{21}{4}$

Then, evaluating the expression:

$\frac{10}{3}$ × $\frac{21}{4}$ = $\frac{210}{12}$

→ $\frac{35}{2}$

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2 years ago

Supplementary angles are angles whose son is 180. To supplementary angles are such that one angle is 4° less than three times th

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Answer:

The measures of angle are 46 degrees and 134 degrees.

Step-by-step explanation:

We are given the following in the question:

Let the measure of one the of the supplementary angles be x degrees.

Measure of other angle =

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Since, the two angles are supplementary, their sum is 180 degrees.

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Thus, the measures of angle are 46 degrees and 134 degrees.

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2 years ago

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Answer:

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2 years ago

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3 years ago

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