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4 years ago

Find the volume of the pyramid. Write your answer as a fraction or mixed number.

Mathematics

1 answer:

Dahasolnce [82]4 years ago

4 0

Check the picture below.

let's notice that the base of the pyramid is triangle with a base of 5 and an altitude of 4, so it has an area of (1/2)(5)(4).

$\bf \textit{volume of a pyramid}\\\\ V=\cfrac{1}{3}Bh~~ \begin{cases} B=\stackrel{\textit{area of its}}{base}\\ h=height\\[-0.5em] \hrulefill\\ B=\frac{1}{2}(5)(4)\\ h=8 \end{cases}\implies V=\cfrac{1}{3}\left( \cfrac{1}{2}(5)(4) \right)(8)\implies V=\cfrac{1}{3}(10)(8) \\\\\\ V=\cfrac{80}{3}\implies V=26\frac{2}{3}$

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3 years ago

G=−3w 4 +2w 2 z 2 +5z 4 P=8w 4 −3w 2 z 2 +z 4 P-G=P−G=P, minus, G, equals Your answer should be a polynomial in standard for

Anon25 [30]

Please take the time to type in the question by yourself. I assume you use some kind of an apps to transcribe problems. It only confuses and discourages helpers. The fact that the question was reported means it is not clear.

I ASSUME the question is as follows:
$G=-3w^4+2w^2z^2+5z^4$
$P= 8w^4-3w^2z^2+z^4$
Need to find P-G.

We see clearly that each expression P, G contains 3 terms, namely w^4, w^2z^2 and z^4. We will have to add/subtract like terms to get the answer.

$P-G=8w^4-3w^2z^2+z^4-(-3w^4+2w^2z^2+5z^4)$
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$=8w^4+3w^4-3w^2z^2-2w^2z^2+z^4-5z^4$ (group like terms)
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4 years ago

Determine whether the following triangles are congruent. If they are congruent, give a congruency statement.

Juliette [100K]

Answer:

Congruent, ASA Congruency Theorem

Step-by-step explanation:

HGI and KJI are vertical angles, therefore equal
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GJ bisects HK at Point I, therefore segments HI and KI are congruent

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3 years ago

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

RideAnS [48]

The missing numbers are 18 and -12

Step-by-step explanation:

Let us explain the meaning of coincidental system of equations

If an equation of a line is ax + by = c, and we multiply or divide all the terms by the same number n, then we will have another equation nax + nby = nc, which represents the same line as the first equation
The two equations ax + by = c and nax + nby = nc form a coincidental system of two linear equations
This system has many solutions (all the points on the line)

∵ 2x + 3y = -17 is one equation in a coincidental system of two

linear equations

- To find the other equation multiply each term by n

∴ The second equation is 2nx + 3ny = -17n

∵ The other equation is _y = _x - 102

∵ The other equation is 2nx + 3ny = -17n

- Compare them to equate the like terms

- Subtract both sides by 2nx to have the same form of the other

equation

∴ 3ny = -2nx - 17n

- Equate the numerical terms

∴ -17n = -102

- Divide both sides by -17

∴ n = 6

- Substitute the value of n in the other equation

∴ 3(6)y = -2(6)x - 17(6)

∴ 18y = -12x - 102

∴ The other equation is 18y = -12x - 102

The missing numbers are 18 and -12

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

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3 years ago