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Semmy [17]
3 years ago
12

Please help! DUE RIGHT NOW

Mathematics
1 answer:
DochEvi [55]3 years ago
8 0

Answer:

36) C, 790 m²

37) D, 625 in²

Step-by-step explanation:

To find the volume of a rectangular prism, we will multiply the length, width, and height together. The dimensions of the aquarium are 22.9×7.5×4.6. Multiply these together.

22.9 · 7.5 · 4.6 = 790.05

The volume is 790.05 m². This rounds down to 790 m², so the answer is C.

----------------------------------------------------------------------------------------------------------------

For the next question, the dimensions aren't given. Instead, we need to calculate them from the sidelengths of the unit cubes. Multiply 2.5 by the number of units on the length, width, and height of the prism. So, the dimensions are 10×12.5×5. Find the product of these dimensions.

10 · 12.5 · 5 = 625

The volume is 625 in². The answer is D.

----------------------------------------------------------------------------------------------------------------

I hope this helps ^^ Good luck

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prisoha [69]

Answer:

n = 3

Step-by-step explanation:

8n - (3n + 4) = 11

8n - 3n - 4 = 11

5n = 11 + 4

5n = 15

n = 3

4 0
3 years ago
Detmermine the best method to solve the following equation, then solve the equation. (3x-5)^2=-125
liq [111]

For the given equation;

(3x-5)^2=-125

We shall begin by expanding the parenthesis on the left side, after which we would combine all terms on and move all of them to the left side, which shall yield a quadratic equation. Then we shall solve.

Let us begin by expanding the parenthesis;

\begin{gathered} (3x-5)^2\Rightarrow(3x-5)(3x-5) \\ (3x-5)(3x-5)=9x^2-15x-15x+25 \\ (3x-5)^2=9x^2-30x+25 \end{gathered}

Now that we have expanded the left side of the equation, we would have;

\begin{gathered} 9x^2-30x+25=-125 \\ \text{Add 125 to both sides and we'll have;} \\ 9x^2-30x+25+125=-125+125 \\ 9x^2-30x+150=0 \end{gathered}

We shall now solve the resulting quadratic equation using the quadratic formula as follows;

\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ \text{Where;} \\ a=9,b=-30,c=150 \\ x=\frac{-(-30)\pm\sqrt[]{(-30)^2-4(9)(150)}}{2(9)} \\ x=\frac{30\pm\sqrt[]{900-5400}}{18} \\ x=\frac{30\pm\sqrt[]{-4500}}{18} \\ x=\frac{30\pm\sqrt[]{-900\times5}}{18} \\ x=\frac{30\pm\sqrt[]{-900}\times\sqrt[]{5}}{18} \\ x=\frac{30\pm30i\sqrt[]{5}}{18} \\ \text{Therefore;} \\ x=\frac{30+30i\sqrt[]{5}}{18},x=\frac{30-30i\sqrt[]{5}}{18} \\ \text{Divide all through by 6, and we'll have;} \\ x=\frac{5+5i\sqrt[]{5}}{3},x=\frac{5-5i\sqrt[]{5}}{3} \end{gathered}

ANSWER:

x=\frac{5+5i\sqrt[]{5}}{3},x=\frac{5-5i\sqrt[]{5}}{3}

3 0
1 year ago
What is the volume of the square-based pyramid?
grandymaker [24]

Answer:

Volume of square-based pyramid = 96 in³

Step-by-step explanation:

Given:

Base side of square = 6 inch

Height of pyramid = 8 inch

Find:

Volume of square-based pyramid

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Area of square base = Side x Side

Area of square base = 6 x 6

Area of square base = 36 in²

Volume of square-based pyramid = (1/3)(A)(h)

Volume of square-based pyramid = (1/3)(36)(8)

Volume of square-based pyramid = (1/3)(36)(8)

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Volume of square-based pyramid = 96 in³

6 0
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Irina-Kira [14]

9514 1404 393

Answer:

  k = -1

Step-by-step explanation:

Put the given value of x in the equation, and solve the resulting equation for k.

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  k = -1 . . . . . . . . . . . . . divide by 10

The value of k is -1.

_____

<em>Check</em>

Use k = -1 in the original equation and solve for x.

  2(x -3) -(1 +2x) = -1 -x -1

  2x -6 -1 -2x = -x -2 . . . . eliminate parentheses

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Answer:

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Step-by-step explanation:

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8 0
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