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poizon [28]
3 years ago
14

Pls help with this one I will give you brainliest thank you!

Mathematics
1 answer:
finlep [7]3 years ago
8 0

Answer:

\boxed{Volume \: of \: right \:  rectangular \: prism = 790 \: {meter}^{3}}

Explanation:

Volume of right rectangular prism is same as volume of cuboid

Length = 22.9 meters

Width = 7.5 meters

Height = 4.6 meters

Volume of right rectangular prism = Length × Width × Height

= 22.9 × 7.5 × 4.6

= 22.9 × 34.5

= 790.05 meter³

= 790 meter³

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If possible help me in this. I need to find the two odd numbers...​
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Part (a)

Consecutive odd integers are integers that odd and they follow one right after another. If x is odd, then x+2 is the next odd integer

For example, if x = 7, then x+2 = 9 is right after.

<h3>Answer:  x+2</h3>

========================================================

Part (b)

The consecutive odd integers we're dealing with are x and x+2.

Their squares are x^2 and (x+2)^2, and these squares add to 394.

<h3>Answer: x^2 + (x+2)^2 = 394</h3>

========================================================

Part (c)

We'll solve the equation we just set up.

x^2 + (x+2)^2 = 394

x^2 + x^2 + 4x + 4 = 394

2x^2+4x+4-394 = 0

2x^2+4x-390 = 0

2(x^2 + 2x - 195) = 0

x^2 + 2x - 195 = 0

You could factor this, but the quadratic formula avoids trial and error.

Use a = 1, b = 2, c = -195 in the quadratic formula.

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(2)\pm\sqrt{(2)^2-4(1)(-195)}}{2(1)}\\\\x = \frac{-2\pm\sqrt{784}}{2}\\\\x = \frac{-2\pm28}{2}\\\\x = \frac{-2+28}{2} \ \text{ or } \ x = \frac{-2-28}{2}\\\\x = \frac{26}{2} \ \text{ or } \ x = \frac{-30}{2}\\\\x = 13 \ \text{ or } \ x = -15\\\\

If x = 13, then x+2 = 13+2 = 15

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Or we could have x = -15 which leads to x+2 = -15+2 = -13

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We get the same thing either way.

<h3>Answer: Either 13, 15  or  -15, -13</h3>
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