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KatRina [158]
2 years ago
8

Find the volume of a pyramid with a square base, where the perimeter of the base is 10.4 in and the height of the pyramid is 9.6

in. Round your answer to the nearest tenth of a cubic inch.​
Mathematics
1 answer:
DanielleElmas [232]2 years ago
8 0

9514 1404 393

Answer:

  21.6 in³

Step-by-step explanation:

The volume of a square pyramid is given in terms of perimeter and height by ...

  V = (1/48)P²h

  V = (1/48)(10.4 in)²(9.6 in) ≈ 21.6 in³

The volume is about 21.6 cubic inches.

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the length of the longer leg of a right triangle is 3 ft more than three times the length of the shorter leg. the length of the
Ulleksa [173]

with the pythagorean theorem

\begin{gathered} (4+3x)^2=x^2+(3+3x)^2 \\ 16+24x+9x^2=x^2+9+18x+9x^2 \\ 16+24x+9x^2=10x^2+18x+9 \\ 16+24x+9x^2-9=10x^2+18x+9-9 \\ 9x^2+24x+7=10x^2+18x \\ 9x^2+24x+7-18x=10x^2+18x-18x \\ 9x^2+6x+7=10x^2 \\ 9x^2+6x+7-10x^2=10x^2-10x^2 \\ -x^2+6x+7=0 \end{gathered}

using the formula of the quadratic equation

\begin{gathered} x_{1,\: 2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ x1=\frac{-6+\sqrt{6^2-4\left(-1\right)\cdot\:7}}{2\left(-1\right)}=-1 \\ x2=\frac{-6-\sqrt{6^2-4\left(-1\right)\cdot\:7}}{2\left(-1\right)}=7 \end{gathered}

the length cannot be negative, therefore x=7

length of the shorter leg is: 7ft

length of the longer leg is: 3+3(7)= 24ft

length of the hypotenuse is: 4+3(7)= 25ft

5 0
1 year ago
WRITE THE FOLLOWING EQUATION IN THE FORM OF Y=MZ (a) 3x+4y=7​
Shalnov [3]

Answer:

y = \frac{ - 3x}{4}   +  \frac{7}{4}

Step-by-step explanation:

First transpose 3x

you are having 3x+4y=7

by transposing you will get

4y=-3x+7

divide by 4 throughout by making y subject of the formula you will find your equation as y=mx+c.

4 0
2 years ago
PLSSS HELP IF YOU TURLY KNOW THISS
ryzh [129]

Answer:

5^3

Step-by-step explanation:

When it's multiplication you add the exponents.

Same with division, you subtract the exponents.

So obviously, 1+2=3.

5^3

I hope I could help!

6 0
3 years ago
Read 2 more answers
Can I please have help?
Law Incorporation [45]

Answer:

ok

Step-by-step explanation:

ok

4 0
3 years ago
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Must m, in the equation y=mx+b=, always be a positive number?
Nadya [2.5K]

Of course not. 

If the line rises higher as it goes from left to right,
then its slope ( 'm' ) is positive.

If it sinks lower as it goes from left to right,
then its slope ( 'm' ) is negative.

8 0
3 years ago
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