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olchik [2.2K]
2 years ago
5

Draw the figure with their measurements and find their volume

Mathematics
1 answer:
babunello [35]2 years ago
5 0

1) Volume = L × W × H = 8 × 3 × 5 = <u>120 m³</u>

2) Volume = s³ = 17³ = 17 × 17 × 17 = <u>4913 cm³</u>

3) Volume = s³ = 30³ = 30 × 30 × 30 = <u>27000 cm³</u>

4) Volume = L × W × H = 13 × 5 × 7 = <u>455 cm³</u>

5) Volume = s³ = 15³ = 15 × 15 × 15 = <u>3375 cm³</u>

<u />

Formula's applied:

(a) Volume of rectangle: Length × Width × Height

(b) Volume of Cube: (side)³

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Write an equation of the line with the given slope and y-intercept:
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Since m = 2 and b = -3/4 all we have to do is replace both m and b in the form and that would be the answer. y = 2x-3/4

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G(x) = - 4x2 + 4x + 5 Find the value of g(1).
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Vector v has magnitude5 units, w has magnitude 3, and the acute angle between them is 45°.
givi [52]

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8 0
3 years ago
A coach purchases 47 hats for his players and their families at a total cost of $302. The cost of a small hat is $5.50. A medium
frosja888 [35]

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.

Since a total of 47 hats where purchased,  hence:

x + y + z = 47    (1)

Also, he spent a total of $302, hence:

5.5x + 6y + 7z = 302     (2)

He purchases three times as many medium hats as small hats, hence:

y = 3x

-x + 3y = 0    (3)

Represent equations 1, 2 and 3 in matrix form gives:

\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] ^{-1} \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}6\\18\\23\end{array}\right]

Therefore he purchases 6 small hats, 18 medium hats and 23 large hats

5 0
3 years ago
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Well, I saw my teacher solving the test herself, and then grading papers off of her paper that she solved. My teacher made the answer key for the tests.
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