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3 years ago

Find volume of a A hexagonal prism

Mathematics

1 answer:

klasskru [66]3 years ago

7 0

The prism volume is given by:
$V = (6) * (1/2) * (L) * (ap) * (h)
$
Where,
L: hexagon side
ap: hexagon apothema
h: prism height
Substituting values we have:
$V = (6) * (1/2) * (11) * (9.5) * (7)

 V = 2194.5 feet ^ 3$
Answer:
The volume of the hexagonal prism is given by:
$V = 2194.5 feet ^ 3$

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Which expression is equivalent to 8-3?

Ostrovityanka [42]

-3 + 8 would be an option

6 0

3 years ago

Read 2 more answers

2z -5(z +2) = -8 - 2z<br><br> Please explain!! Thank you

Korolek [52]

Follow PEMDAS.

You would first do your distributive property which is, -5(z+2). You would multiply -5 to z and -5 to 2 which will give you -5z + -10.

so now you have 2z-5z+ -10= -8 - 2z. Now you must isolate the variable. So subtract -8 to -10 which will give you -18.

Now you have the equation 2z-5z-18=-2z

Now combine like terms. 2z-5z= -3z

Now you have the equation -3z-18=-2z

Now you must move the -3z to the other side of the equal sign by adding the opposite which is +3z to -2z which will give you +1z

Now you have -18= 1z

Now you divide. -18 divided by 1 is -18.

So your final answer will be -18=z

7 0

3 years ago

Solve x2 - 8x - 9 = 0. Rewrite the equation so that it is of the form x2 + bx = c.

barxatty [35]

Answer:

x=9,-1 and $x^2+(-8)x=9$

Explanation:

we have been given with the quadratic equation $x^2-8x-9$

we compare the given quadratic equation with general quadratic equation

general quadratic is $ax^2+bx+c=0$

from given quadratic equation a=1,b= -8,c= -9

substituting these values in the formula for discriminant $D=b^{2}-4ac$

$D=(-8)^2-4(1)(-9)=100$

Now, to find the value of x

Formula is $x=\frac{-b\pm\sqrt{D}}{2a}$

Now, substituting the values we will get

$x=\frac{-(-8)\pm\sqrt{100}} {2}= \frac{8\pm10}{2}=9,-1$

And rewritting the given equation by shifting 9 to right hand side of the given equation and taking minus inside the bracket so as to convert it in the form of

$x^2+bx=c$