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Usimov [2.4K]
3 years ago
5

Find the volume of each three dimensional figure (3 problems please help)

Mathematics
1 answer:
grin007 [14]3 years ago
8 0

Answer:

Step-by-step explanation:

1) The solid is a cube. The formula for determining the volume of a cube is expressed as

Volume = s³

s = 5 cm

Therefore,

Volume = 5³ = 125 cm³

2) The solid is a cuboid. The formula for determining the volume of a cuboid is expressed as

Volume = lwh

l = 10 inches

w = 5 inches

h = 2 inches

Therefore,

Volume = 10 × 5 × 2 = 100 inches³

3) The solid is a square base pyramid. The formula for determining the volume of a square base pyramid is expressed as

Volume = Area of square base × height

Area of square base = 3² = 9 m²

h = 10 m

Volume = 9 × 10 = 90m³

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Complete the table below to find solutions to the linear equation 4x + y = -40.
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Answer:

(1,-44), (2,-48),(3,-52).......

Step-by-step explanation:

4(1)+y=-40

4+y=-40

y=-40-4

y=-44

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2 years ago
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What is an equation of the line, in point-slope form, that passes through the given point and has the given slope? point:(11, 3)
Galina-37 [17]
Y=4/11x-1


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3 years ago
From a group of 8 volunteers, including Andrew and Karen, 4 people are to be selected at random to organize a charity event. Wha
Helga [31]

Answer:

The correct option is D. 2/7

Step-by-step explanation:

Consider the provided information.

There are 8 volunteers including Andrew and Karen, 4 people are to be selected at random to organize a charity event.

We need to determine the probability Andrew will be among the 4 volunteers selected and Karen will not.

We want to select Andrew and 3 others but not Karen in the group.

Thus, the number of ways to select 3 member out of 8-2=6

(We subtract 2 from 8 because Andrew is already selected and we don't want Karen to be selected, so subtract 2 from 8.)

The required probability is:

\dfrac{^6C_3}{^8C_4}=\dfrac{\frac{6!}{3!3!}}{\frac{8!}{4!4!}}\\\\\\\dfrac{^6C_3}{^8C_4}=\frac{20}{70}\\\\\\\dfrac{^6C_3}{^8C_4}=\dfrac{2}{7}

Hence, the correct option is D. 2/7

6 0
3 years ago
Brandy has a new part-time job. On Monday, she worked 8 hours. On Wednesday, she worked three-fourths as long as she did on Mond
Setler79 [48]

Answer:

both of them are odd (because both of them are even, the reverse would be true)

Step-by-step explanation:

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8 0
3 years ago
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