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3 years ago

Carmine is packing 27 superballs in 3 square layers. Each ball has a diameter of 4 cm.

1 answer:

6 0

Assuming the diameter of the ball = side of square
To stack 27 balls, we need 9 layers of 3 square each
Total space = 27 x 4³ = 1728 cm³
Total space occupied by 27 spherical balls = 27 x 4/3 π (4/2)³ = 904.78 cm³
Empty space = 1728 - 904.78 = 823.22 cm³

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3 years ago

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If g(x)=2x-1 and h(x)= swuare root x, find (g o h) (9)

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3 years ago

Find the midpoint of points A(10,-7) and B(6, 1) graphically.

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(8,-3)

Step-by-step explanation:

<u>Midpoint Formula: </u> $(\frac{x^{1}+x^{2} }{2}, \frac{y^{1} +y^{2} }{{2} } )$

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(10+6/2, -7+1/2)

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(8,-3)

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1 year ago

The verties of ABC are A(2 ,1) B (3,4) and C(1,3). If AB is translated 1 unit down and 3 units to the left to create DEF what ar

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Answer:

The new coordinates will be D(1,3) E(0,3) and F(-1,0)

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2 years ago

PQ has a midpoint of M. the coordinates of M are (-4, 7) and the coordinates of P are (2, 13). What are the coordinates of Q?

Natali5045456 [20]

Using the midpoint formula, the coordinates of Q are: <em>A. (-10, 1)</em>

<h3>What is the Midpoint Formula?</h3>

Midpoint formula is given as, $M(x, y) = (\frac{x_2 + x_1}{2} , \frac{y_2 + y_1}{2})$

Thus, given that:

M is the midpoint of PQ.
M (-4, 7)
P (2, 13).

Therefore:

$M(-4, 7) = (\frac{2 + x_1}{2} , \frac{13 + y_1}{2})$

Solve for x-coordinate of P:

-4 = 1/2(2 + x1)

2(-4) = 2 + x1

-8 = 2 + x1

-8 - 2 = x1

x1 = -10

Solve for y-coordinate of P:

7 = 1/2(13 + y1)

14 = 13 + y1

y1 = 1

Therefore, using the midpoint formula, the coordinates of Q are: <em>A. (-10, 1)</em>

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Learn more about the midpoint formula on:

brainly.com/question/88621

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2 years ago