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3 years ago

EMERGENCY how many cubes with side lengths of 1/4 does it take to fill the prism?

Mathematics

1 answer:

Brrunno [24]3 years ago

5 0

Answer:

135 cubes

Step-by-step explanation:

2.25 * 4 = 9

.75 * 4 = 3

1.25 * 4 = 5

9 * 3 * 5 = 135

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You are building a shelf that fits in a corner. In the figure, the entire shelf is △XYZ. Each unit in the coordinate plane repre

natima [27]

Complete Question: You are building a shelf that fits in a corner in the figure the entire shelf is XYZ each unit in the coordinate plane represents one inch find the area of the shelf.

Answer:

112.5 units²

Step-by-step explanation:

Area of the shelf = ½*base*height.

The base is the distance between Z(0, 5) and Y(15, 5)

The height is the distance between X(15, 20) and Y(15, 5).

Therefore area of the shelf = ½*ZY*XY

Use the distance formula to find ZY and XY.

Distance between Z(0, 5) and Y(15, 5):

$ZY = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$Z(0, 5) = (x_1, y_1)$

$Y(15, 5) = (x_2, y_2)$

$ZY = \sqrt{(15 - 0)^2 + (5 - 5)^2}$

$AB = \sqrt{(15)^2 + (0)^2}$

$AB = \sqrt{225 + 0} = \sqrt{225}$

$AB = 15$

Distance between X(15, 20) and Y(15, 5):

$XY = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$X(15, 20) = (x_1, y_1)$

$Y(15, 5) = (x_2, y_2)$

$XY = \sqrt{(15 - 15)^2 + (5 - 20)^2}$

$XY = \sqrt{(0)^2 + (-15)^2}$

$XY = \sqrt{0 + 225} = \sqrt{225}$

$XY = 15$

Area of shelf = ½*15*15 = ½*225 = 112.5 units²

4 0

3 years ago

How do you find the bearing and speed of a ship?

Usimov [2.4K]

Finding the Bearing of a Ship
Example : A ship leaves the port of Miami with a bearing of S80◦E and a speed of. 15 knots. After 1 hour, the ship turns 90◦ toward the south.

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3 years ago

1.9 as a mixed number in simplest form

Yuri [45]

1.9 = 1 9/10 in simplest form

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3 years ago

Sam brought brushes for $8,a palette for $5,and oil paints for $15.He paid 29.82 in all.What sale-tax rate did Sam pay?

sertanlavr [38]

8+5+15=28
29.82-28= 1.82 or 182%

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3 years ago

there are 98 girls at Ross elementary there are 15 less boys then girls how many boys and girls are at Ross elementary

Luba_88 [7]

Answer: 98-15= 83 boys

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3 years ago