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3 years ago

How many 1-inch cubes will fit into a 3 and 1/2 in rectangular prism?

1 answer:

7 0

Suppose the height of the prism is 1 in, then the volume will be:
volume=length×width×height
thus
volume of the prism will be:
V=3×1/2×1
V=1.5 in³

Volume of the cube will be:
v=1×1×1=1 in³
Thus the number of cubes that will be in the prism will be:
(1.5 in³)/(1 in³)
=1.5 cubes~2 cubes

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there is 1 litre of tea in a teapot, alex pours 275ml of the tea into a cup what percentage of the tea has alex poured

Nuetrik [128]

Answer:

27.5%

Step-by-step explanation:

Given:

1 Liter In Teapot
Alex poured 275 milliliters of the tea into a cup

Review:

1,000 Milliliters = 1 Liter

Concepts:

A liter is a noun meaning a unit of capacity redefined in 1964 by a reduction of 28 parts in a million to be exactly equal to one cubic decimeter. It is equivalent to 1.0567 U.S. liquid quarts and is equal to the volume of 1 kilogram of distilled water at 4°C.

A millimeter is a noun meaning a unit of capacity equal to one thousandth of a liter, and equivalent to 0.033815 fluid ounce, or 0.061025 cubic inch.

Formula:

The mℓ to ℓ formula is [L] = [mL] / 1000.

Now we must convert 275 milliliters to liters.

1. Divide the volume by 1,000.

275 ÷ 1000 = 0.275

2. Add the Unit Symbol for Liter.

0.275 ⇒ 0.275 L

Now we have to find how much of 1 liter- 0.275 liters as a percentage is.

To convert 0.275 to percent multiply 0.275 by 100. The result is 27.5 percent, or, using the percent sign, 27.5 %.

7 0

1 year ago

What is the value of X?

Leviafan [203]

Answer:

x=20

Step-by-step explanation:

First, find LJ

Angle L = 60 (180 - 30 - 90)

The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.

cos(L)=adj/hyp

cos(60)=LJ/40√2

LJ = cos(60)*40√2

LJ = 20√2

Now you can use LJ to find x. You also know the value of each angle, 45

x=20√2⋅cos(45)

x=20

4 0

2 years ago

Solve using order of operations (9 + 33 – 6 ) ÷ 6 – 32

marusya05 [52]

Answer:

-26

Step-by-step explanation:

9+33-6

calculate the sum of the positive numbers

42-6

subtract the numbers

36 divided by 6-32

6-32

-26

5 0

2 years ago

Read 2 more answers

A circle has an 18 inch radius and a shaded sector with a central angle of 50 degrees. What is the area of the shaded sector

Katyanochek1 [597]

Answer: The area of the sector will be about 141.3 square inches.

First, we need to find the area of the entire circle. The formula is pi(r^2). Inputting 18 for the radius makes the area of the circle about 1017.36 square inches.

Now, we multiply by the area by the size of the sector. It is 50 degree out of the entire 360 degrees. That is about 13.9%.

Multiply 13.9% by 1017.36 to get an area of about 141.3 square inches for the sector.

5 0

2 years ago

William is going to invest in an account paying an interest rate of 5.9% compounded

Valentin [98]

Answer:

$\$400.92$