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4 years ago

Find the volume of a hexagonal prism whose base area is 15 yd² and whose height is 10 yd.

Mathematics

1 answer:

stiks02 [169]4 years ago

3 0

Answer:

Volume = 150 cubic yards

Step-by-step explanation:

The basic formula for volume is:

Volume = area of base * height

The image of hexagonal prism is shown attached.

If the base is in different shape, we can use different formula (for that shape the base is in) and find area of base.

But, this problem explicitly gives

Area of Base = 15

Height = 10

We simply substitute in volume formula to find the volume. Shown below:

Volume = Area of Base * Height

Volume = 15 * 10

Volume = 150 cubic yards

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german

3 * 2 equals 6, 2 * 3 equals 6, 6 - 6 is 0 + 6 equals 6. I really don't know I'm pretty I may be wrong but here's a thought.

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3 years ago

Solve this linear equation for p:

lukranit [14]

Answer:

$2.6(5.5p - 12.4) = 127.92$

• Distributive property

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• Addition property of equality

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• Division property of equality

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3 years ago

Solve the linear system of equations using the linear combination method. 4x-9y=20 2x-6y=16

maxonik [38]

The solution is (-4,4)

Step-by-step explanation:

Given equations are:

$4x-9y = 20\ \ \ \ Eqn1\\2x-6x = 16\ \ \ \ Eqn2$

In linear combination method, we have to make coefficients of any one variable opposites by multiplying with an integer

So multiplying 2nd equation by -2

$-2(2x-6y=16)\\-4x+6y=-32\ \ \ \ Eqn3$

Adding Equation 1 and Equation 3:

$4x-9y-4x+12y = 20-32\\3y = -12$

Dividing both sides by 3

$\frac{3y}{3} = \frac{-12}{3}\\y = -4$

Putting y=-4 in equation 1

$4x-9(-4) = 20\\4x +36= 20\\4x = 20-36\\4x = -16$

Dividing both sides by 4

$\frac{4x}{4} = \frac{-16}{4}\\x = -4$

Hence,

The solution is (-4,4)

Keywords: Linear combination, linear equations

Learn more about linear combination method at:

#LearnwithBrainly

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4 years ago

If f(x) and r1(x) are inverse functions of each other and f(x)=2x+5 , what is f^-1(8) ?

GenaCL600 [577]

Answer:

3/2

Step-by-step explanation:

Given y = 2x + 5, let's rewrite the equation in terms of x;

y = 2x + 5 => Bring 5 to the other side

2x = y - 5 => Divide either side by 2

x = (y - 5)/2

If we want to take the inverse, simply swap the variable's positions...

We have y = (x - 5)/2

Now let's determine f^-1(8), substituting for "y" provided y is our inverse, f^-1

f^-1(8) = (8 - 5)/2 = 3/2

Solution: 3/2

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3 years ago

An oil painting is 16 years older than a watercolor by the same artist. the oil painting is also three times older the the water

Firlakuza [10]

O=oil painting's age
w=water color's age

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subsitute
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the watercolor is 8 years old

8 0

3 years ago

Read 2 more answers