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3 years ago

10

Suppose Set B contains 60 elements and the total number elements in either Set A or Set B is 82. If the Sets A and B have 12 ele

ments in common, how many elements are contained in set A?

1 answer:

lidiya [134]3 years ago

7 0

Answer:

34 elements

Step-by-step explanation:

Set B = 60 elements

Set A = x elements

A∩B = 12

A∪B = 82

x = (82+12 - 60) = 34 elements

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Can you please show me how to calculate the volume for each prism?

larisa [96]

Answer:

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2nd: volume = area of base(circle) x high = pi x 9^2 x 8 = ~ 2035.8

3rd = volume = area of base(triangle) x high = [sqrt(3)/4] x 14^2 x 20 = ~1697.4

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3 years ago

Write 0.192 and 0.042 as a fraction. Write 189/1000 and 3/1000 as a decimal.

luda_lava [24]

Answer:

0.192 = 24/125

0.042 = 21/500

189/1000 = 0.189

3/1000 = 0.003

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3 years ago

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A cylinder has volume 78 cm3 . What is the volume of a cone with the same radius and height? A 26 cm3 B 39 cm3 C 156 cm3 D 234 c

otez555 [7]

Answer:

Option A - $26 \mathrm{cm}^{3}$

Step-by-step explanation:

Given: The volume of a cylinder = $78 \mathrm{cm}^{3}$

Let us substitute the volume of cylinder in the formula.

The formula for volume of a cone is $V=\frac{\pi r^{2} h}{3}$ (1)

The formula for volume of a cylinder is $V=\pi r^{2} h$ (2)

Substituting $V=78$ in equation (2), we get,

$\begin{array}{c}{V=\pi r^{2} h} \\{78=\pi r^{2} h}\end{array}$

Given that the cone has the same radius and height of that of the cylinder, let us substitute $78=\pi r^{2} h$ in equation (1)

$\begin{array}{l}{V=\frac{\pi r^{2} h}{3}} \\{V=\frac{78}{3}} \\{V=26}\end{array}$

Thus, the volume of a cone with the same radius and height of a cylinder is $26 \mathrm{cm}^{3}$ .

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3 years ago

Which numbers below are integers but not natural numbers?<br><br> 1, - 5.41,3root12, 0, -3, -9/7,23

m_a_m_a [10]

Answer:

0 and -3

Step-by-step explanation:

Natural numbers are all whole numbers from 1 to infinity. i.e

1, 2, 3, 4 . . .

These numbers do not include 0.

Integers are all whole numbers (positive and negative) including 0. i.e

. . ., -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, . . .

These numbers are all natural numbers including their negative counterparts (i.e negatives of the natural numbers) and also 0.

<em>So from the options in the question:</em>

1 is a natural number as well as an integer

-5.41 is not a natural number neither is it an integer.

3 root 12 (written as $3\sqrt{12}$ ) is neither a natural nor an integer number.

0 is an integer but not a natural number

-3 is an integer but not a natural number

-9/7 is neither a natural nor an integer number.

23 is a natural number as well as an integer

Therefore, 0 and -3 are integers but not natural numbers

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2 years ago

What is an equation in point-slope form of the line that passes through (-7,1) and (-3, 9)

Inga [223]

Step-by-step explanation:

let eqn be y - y1 = m(x - x1)

m = (9 - 1)/(-3 - (-7))

m = 2

sub (-7, 1):

y - 1 = 2(x + 7)

therefore, the equation is y - 1 = 2(x + 7)

Topic: coordinate geometry

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

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3 years ago

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