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Andru [333]
2 years ago
9

Find the product in simplest form. Square root of 2x * square root of 8x^3

Mathematics
1 answer:
Alex17521 [72]2 years ago
6 0

Step-by-step explanation:

= √2x × √8x³

= √(2.8x^4)

= √16x^4

= 4x²

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Each cone of the hourglass has a height of 12 millimeters. The total height of the sand within the top portion of the hourglass
Ratling [72]

The solution would be like this for this specific problem:

Volume of a cylinder = pi * r^2 * h 

Volume of a cone = 1/3 * pi * r^2 * h 

Total Height = 47

Height of the cone = 12

Height of the cylinder = 35

If the top half is filled with sand, then:

volume (sand) = pi * 4^2 * 36

volume (cone) =  1/3 * pi * 4^2 * 12

Total volume = 1960.353816 cubic millimeters

353816 / (10 * pi) = 62.4 seconds.

It will take 62.4 seconds until all of the sand has dripped to the bottom of the hourglass.

8 0
3 years ago
Li made a scale drawing of a room. The scale used was 5cm=1m.The scale drawing is the preimage and the room is the dilated image
AleksandrR [38]
Scale in terms of cm to m= 1/5
In every meter there are 5 cm

Considering this, if the dimensions are 15cm and 20cm, you would need to multiply them by 5 to convert them to meters

15*5= 75 20* 5=100

Dimensions- 75ft by 100ft
5 0
4 years ago
Pablo built a large wooden storage box. The box was in the shape of a rectangular prism, as shown below. He covered all the side
Naily [24]

The cost of wallpaper used to cover all sides of the storage box is given by $3 per square foot

<h3>Cost of wallpaper per square foot</h3>

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  • Width = 8 ft
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Surface area of a box = 2(lh + wh + lw)

= 2(9×5 + 8×5 + 9×8)

= 2(45 + 40 + 72)

= 2(157)

= 314 square foot

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Cost of wallpaper per square foot = $942 ÷ 314 square foot

= $3 per square foot

Learn more about surface area:

brainly.com/question/2500827

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3 0
2 years ago
If 12 gallon of paint covers 18 of a wall, then how many quarts of paint are needed for the entire wall?
marusya05 [52]

Answer: 16 quarts

Step-by-step explanation:

There are 4 quarts per 1 gallon.

You need 4 gallons total to cover the wall.

4 x 4=16

4 0
3 years ago
Isaac wants to buy tomatoes and a loaf of bread. Tomatoes are $1.20 a pound, and a loaf of bread is $2.00. He has $8.00 to spend
Anestetic [448]

Answer:

Isaac has $4.80 left

Step-by-step explanation:

$1.20 + 2.00 = 3.20

$8.00 - 3.20 = 4.80

4 0
3 years ago
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