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3 years ago

Find the volume of a triangular prism that has a triangular base of 4 and height of 3 with a prism height of 11.

Mathematics

1 answer:

UkoKoshka [18]3 years ago

7 0

Answer:

Step-by-step explanation:

This was the formula that I used V=14h √(a+b+c)(b+c−a)(c+a−b)(a+b−c)

Hope this helps! :)

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Solving equation with shown steps plz and thank u <3<br><br> -8 - x=-3(2x - 4) + 3x

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Donuts because I really like them

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3 years ago

For the function f x equals square root x ^ 3 - x, State the condition that must be satisfied for the FX to be Define. Then, sol

Svetradugi [14.3K]

Answer:

Domain: $[-1,0]\cup [1,\infty )$

Step-by-step explanation:

Since we know that a square root function is not defined for negative numbers. In order our function to be defined values inside radical must be greater than or equal to zero.

Our function will be defined when $x^{3} -x\geq 0$

$x(x^{2} -1)\geq 0$

$x(x-1)(x+1)\geq 0$

$1\geq x\leq 0$ or $x\geq1$

Now we will use number line method of solving inequalities to check whether our answer is right or not.

Let us try -2, -1/2, 1/2 and 2 to check which conditions meet our criteria.

$-2^{3} --2\geq 0\\-6\leq 0$

$(\frac{-1 }{2}) ^{3} -(\frac{-1}{2}) \geq0$

$\frac{-1}{8} +\frac{1}{2} \geq 0\\\frac{3}{8} \geq 0$

$(\frac{1 }{2}) ^{3} -\frac{1}{2} \geq0$

$\frac{1}{8} -\frac{4}{8} \leq 0$

$2^{3} -2\geq 0\\6\geq 0$

Therefore, we can see that our function is defined when $1\geq x\leq 0$ or $x\geq1$ and domain of f(x) is $[-1,0]\cup [1,\infty )$ .

4 0

3 years ago

How much would $120 invested at 86% interest compounded monthly to be worth after 21 years round to the nearest cent

8_murik_8 [283]

The formula is
A=p (1+r/k)^kt
A future value?
P present value 120
R interest rate 0.86
K compounded monthly 12
T time 21 year
A=120×(1+0.86÷12)^(12×21)
A=4,510,568,953.1372

8 0

4 years ago

A scale drawing has a scale of 1 inches = 10 feet. How long is a line on the drawing that represents an actual length of 47.5 fe

Airida [17]

Answer:

4.75 inches

Step-by-step explanation:

To find your answer you divide 47.5 by 10, as that is the scale rate

7 0

3 years ago

Which One Does Not Belong? Use a complete sentence to explain your choice.

Yuki888 [10]

Answer:

3 +9 does not belong because it doesn't equal 10 like the rest of them do.

3 0

3 years ago