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3 years ago

Find the length of the base of a square pyramid if the volume is 128 cubic inches and has a height of 6 inches.

Mathematics

2 answers:

Sladkaya [172]3 years ago

6 0

Answer: The base length of the pyramid is:

8 inches

Alex777 [14]3 years ago

5 0

$The\ value\ of\ the\ square\ pyramid:V=\dfrac{1}{3}BH\\\\B=128in^3;\ H=6in\\\\subtitute:\\\\\dfrac{1}{3}B\cdot6=128\\\\2B=128\ \ \ |divide\ both\ sides\ by\ 2\\\\B=64\ (in)\\\\a-the\ length\ of\ the\ base\\\\B=a^2\\\\a^2=64\to a=\sqrt{64}\to\boxed{a=8\ (in)}$

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kakasveta [241]

Answer:

Step-by-step explanation:

You only need two points to find the slope.

Let's use (1,7) and (2,8).

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Let's plug the values in:

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2 years ago

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What is the sum? 3 y / Y 2 + 7 y + 10 + 2 / y + 2

kap26 [50]

Answer:

5/(y+5)

Step-by-step explanation:

Perhaps you want the sum ...

$\dfrac{3y}{y^2+7y+10}+\dfrac{2}{y+2}\\\\=\dfrac{3y}{(y+2)(y+5)}+\dfrac{2(y+5)}{(y+2)(y+5)}=\dfrac{3y+2(y+5)}{(y+2)(y+5)}\\\\=\dfrac{5y+10}{(y+2)(y+5)}=\dfrac{5(y+2)}{(y+2)(y+5)}=\boxed{\dfrac{5}{y+5}}$

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<em>Comment on rational expressions</em>

When writing ratios in plain text, it is imperative to put parentheses around numerators and denominators. (If the numerator is a product only, then parentheses are optional.)

Your expression might be properly written as ...

3y/(y^2 +7y +10) +2/(y+2)

As you have written it, it simplifies to ...

3(y/y)2 +7y +10 +2/y +2 = 3·2 +7y +2/y +12

= 7y +2/y +18

Please note, too, the exponentiation symbol (^).

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3 years ago

13,000 divided by 1,000

ivann1987 [24]

Answer:

Hey! The answer would be 13 with no remainder. Hope this helped :)

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3 years ago

This figure shows △XYZ . MZ¯¯¯¯¯¯ is the angle bisector of ∠YZX . What is XM ? Enter your answer, as a decimal, in the box. unit

astraxan [27]

Answer:

Length of XM is 5.5 units.

Step-by-step explanation:

Given △XYZ where MZ is the angle bisector of ∠YZX . we have to find the length of XM.

A triangle with vertices X, Y, and Z. Side XZ is base. A line segment drawn from Z to M bisects ∠YZX into two parts ∠YZM and ∠XZM.

YZ=7 units, XZ=11 units and YM=3.5 units

By angle bisector theorem which states that an angle bisector of an angle divides the opposite side in two segments that are proportional to the another two sides of the triangle.

Hence, $\frac{YM}{MX}=\frac{YZ}{XZ}$

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⇒ MX=5.5 units.

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3 years ago

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2 years ago

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