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2 years ago

What is the volume of the following triangular prism?

Mathematics

2 answers:

Rudiy272 years ago

6 0

Answer:

The answer is 42 yards! Sry im late. :(

Greeley [361]2 years ago

5 0

Answer:

Option C. $42\ yd^{3}$

Step-by-step explanation:

we know that

The volume of the triangular prism is equal to

$V=BH$

where

B is the area of the triangular base

H is the height of the prism

Convert 9 ft to yd

Remember that

1 ft=1/3 yd

9 ft=9*(1/3)=3 yd

<em>Find the area of the base B</em>

$B=\frac{1}{2}(3)(4)=6\ yd^{2}$

we have

$H=7\ yd$

substitute the values in the formula

$V=BH$

$V=(6)(7)=42\ yd^{3}$

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Factor f(x) = 15x^3 - 15x^2 - 90x completely and determine the exact value(s) of the zero(s) and enter them as a comma separated

Illusion [34]

Answer:

$x=-2,0,3$

Step-by-step explanation:

We have been given a function $f(x)=15x^3-15x^2-90x$ . We are asked to find the zeros of our given function.

To find the zeros of our given function, we will equate our given function by 0 as shown below:

$15x^3-15x^2-90x=0$

Now, we will factor our equation. We can see that all terms of our equation a common factor that is $15x$ .

Upon factoring out $15x$ , we will get:

$15x(x^2-x-6)=0$

Now, we will split the middle term of our equation into parts, whose sum is $-1$ and whose product is $-6$ . We know such two numbers are $-3\text{ and }2$ .

$15x(x^2-3x+2x-6)=0$

$15x((x^2-3x)+(2x-6))=0$

$15x(x(x-3)+2(x-3))=0$

$15x(x-3)(x+2)=0$

Now, we will use zero product property to find the zeros of our given function.

$15x=0\text{ (or) }(x-3)=0\text{ (or) }(x+2)=0$

$15x=0\text{ (or) }x-3=0\text{ (or) }x+2=0$

$\frac{15x}{15}=\frac{0}{15}\text{ (or) }x-3=0\text{ (or) }x+2=0$

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3 years ago

What is the greatest common factor of 24, 18, and 36?

slava [35]

Answer:

most likely 6

Step-by-step explanation:

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2 years ago

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HELP ASAP <br> What is the slope of the line on the graph?

ollegr [7]

The slope of this line is -1/6.

2 Point: (6,2) (-6,6)
x₁ y₁ x₂ y₂

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---------- = ------------------- = ------------- = ----------- = ----------
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3 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

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Answer:

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