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3 years ago

Find the volume of the oblique rectangular prism with length 8 cm, width 7 cm, and height 9 cm.

Mathematics

1 answer:

KengaRu [80]3 years ago

7 0

Answer:

Step-by-step explanation:

2 x 8 + 2 x 7 + 2 x 9 = 48

HOPE IT HELPS!!!!

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Prove that BUGS is a trapezoid with coordinates B(-2,-1), U(0,3), G(3,2) and S(4,-3).

telo118 [61]

Answer:

Proved

Step-by-step explanation:

Given

$B =(-2,-1)$

$U = (0,3)$

$G = (3,2)$

$S = (4,-3)$

Required

Prove BUGS is a trapezoid

Given the coordinates, to prove a trapezoid; all we need to do is to check if one pair of sides is parallel.

Taking BU and GS as a pair

First, we calculate the slope using:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

For BU

$B =(-2,-1)$ --- $(x_1,y_1)$

$U = (0,3)$ --- $(x_2,y_2)$

So, we have:

$m = \frac{3 - -1}{0- -2}$

$m = \frac{4}{2}$

$m = 2$

For GS

$G = (3,2)$ --- $(x_1,y_1)$

$S = (4,-3)$ --- $(x_2,y_2)$

So, we have:

$m = \frac{-3-2}{4-3}$

$m = \frac{-5}{1}$

$m = -5$

The slope of BU and GS are not the same; hence, they are not parallel.

Taking BS and GU as a pair

Calculate the slope

For BS

$B =(-2,-1)$ --- $(x_1,y_1)$

$S = (4,-3)$ --- $(x_2,y_2)$

So, we have:

$m = \frac{-3 - -1}{4- -2}$

$m = \frac{-2}{6}$

$m = -\frac{1}{3}$

For GU

$G = (3,2)$ --- $(x_1,y_1)$

$U = (0,3)$ --- $(x_2,y_2)$

So, we have:

$m = \frac{3-2}{0-3}$

$m = \frac{1}{-3}$

$m = -\frac{1}{3}$

The slope of BS and GU are the same; hence, they are parallel.

BUGS is a trapezoid because BS and GU have the same slope

8 0

3 years ago

If 10% of a number is 12 and 45% of the same number is 54, find 35% of that number.

pishuonlain [190]

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Answer: 42

Explanation:

120 x .35 = 42

I hope this helped!

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- Zack Slocum

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lakkis [162]

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180-142 =38

38 is the correct answer

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Evaluate the expression 4a^2 - 2b ÷ 4 for a = 2 and b = 4.

Alexxandr [17]

(4a² -2b)/4
(4(2)² - 2×4)/4
(16-8)/4
8/4
= 2

please don't forget to give my answer brainliest if they are correct

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3 years ago

What is the 15th term in the pattern with the formula 10n – 5?

lina2011 [118]

Try substituting n = 15?

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