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3 years ago

Could you help me find the volume?

Mathematics

2 answers:

mestny [16]3 years ago

8 0

Volume of what? volume of cube etc

Mekhanik [1.2K]3 years ago

6 0

Hello,
V of the right triangular prism=B×h
or
V=1/2l×w×h
For this problem, I would prefer the second formula
V=1/2×5×11×6
V=30×1/2×11
V=165 cubic feet. As a result, A is the final answer!

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Solve the equation without the use of a calculator. please Help!!! Thank you!!! 12x^3-30x=5-2x^2

nata0808 [166]

So, since we have a cubic equation with 4 terms, the first thing we should try is factoring by grouping, so:

$12x^3+2x^2-30x+5 =0 \implies \\ 2x^2(6x+1)-5(6x+1)=0 \implies \\ (2x^2-5)(6x+1) = 0$

Now that we've factored our equation, we can use ZPP and break it up:

$2x^2-5 = 0 \implies \\ 2x^2=5 \implies\\ x^2=\frac{5}{2} \implies\\ x=\pm\frac{\sqrt{5}}{\sqrt{2}}=\pm\frac{\sqrt{10}}{2} \\ \\ 6x+1 =0 \implies \\ 6x=-1 \implies\\ x=\frac{-1}{6}$

So, our solutions are:

$x\in \{\frac{\sqrt{10}}{2},-\frac{\sqrt{10}}{2},-\frac{1}{6}\}$

4 0

3 years ago

Use the substitution method to solve the system of equations. Choose the

BigorU [14]

Answer:

C. (4,28)

Step-by-step explanation:

When y = 8x - 4 ; x = 4

when u substitute x in the equation

the value of y = 28

y = (8 x 4) - 4

= 32 - 4

= 28.

As coordinates it would be (x,y) = ( 4,28 )

3 0

3 years ago

Read 2 more answers

Claire has received scores of 85,82, and 75 on her algebra tests. what score must she receive on the fourth test to have an over

Nina [5.8K]

Fourth test mark should be 86

85 + 82 + 75 + 86 = 328
328 divide by 4 (as there are four tests) = 82

8 0

4 years ago

What are the domain and range of the inequality y < sqrt x+3+1

love history [14]

Given:

The inequality is:

$y$

To find:

The domain and range of the given inequality.

Solution:

We have,

$y$

The related equation is:

$y=\sqrt{x+3}+1$

This equation is defined if:

$x+3\geq 0$

$x\geq -3$

In the given inequality, the sign of inequality is <, it means the points on the boundary line are not included in the solution set. Thus, -3 is not included in the domain.

So, the domain of the given inequality is x>-3.

We know that,

$\sqrt{x+3}\geq 0$

$\sqrt{x+3}+1\geq 0+1$

$y\geq 1$

The points on the boundary line are not included in the solution set. Thus, 1 is not included in the range.

So, the domain of the given inequality is y>1.

Therefore, the correct option is A.

3 0

3 years ago

Unicorns can live forever but they remain children for 261 months. How many years is that in total?

11111nata11111 [884]

Answer:

21.75 years (Almost 22 years)

21 years and 9 months. :)

Step-by-step explanation:

There are 12 months in a year.

261/12 = 21.75

.75 = 3/4

3/4(12) = 9 months

Hope that helps!

6 0

2 years ago