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3 years ago

How many number of subsets in set D

1 answer:

5 0

Answer: A proper subset is a subset that is not identical to the original set—it contains fewer elements. You can see that there are 16 subsets, 15 of which are proper subsets. Listing the sets is fine if you have only a few elements.

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Please solve these 2 questions, no wrong answers!

kumpel [21]

Answer:

Not sure what number 1 is but number 2 is true.

Step-by-step explanation:

5 0

3 years ago

Find the indicated side of the triangle !!!

maks197457 [2]

Answer:

<u>The correct answer is b = 6 √3 units</u>

Step-by-step explanation:

Let's recall that we can use the following ratio for the sides of a 90 - 60 - 30 triangle:

1 : √3 : 2, where 2 is the hypotenuse.

Upon saying that, we have that in our triangle:

Hypotenuse = 12 units

a = 6 units

b = 6 √3 units

<u>The correct answer is b = 6 √3 units</u>

5 0

4 years ago

Read 2 more answers

A+ B = 30. A:B what is equivalent to 2:3

Paraphin [41]

2/3 and 12/18 are equivalent fractions, and 12+18 = 30 so the answer is 12:18

5 0

3 years ago

Katy runs a day care center . So far this year , the enrollment has consisted of 2 toddlers and 8 children of other ages . Consi

Y_Kistochka [10]

Answer:

You should expect 4 of the next 20 children to enroll to be toddlers.

Step-by-step explanation:

This question is solved by proportions.

So far:

We have that of 2 + 8 = 10 children, 2 are toddlers, so the proportion of toddlers is 2/10 = 0.2.

How many of the next 20 children to enroll should you expect to be toddlers?

0.2 out of 20, so: 0.2*20 = 4

You should expect 4 of the next 20 children to enroll to be toddlers.

5 0

3 years ago

Help 80 points A concrete planter is formed from a square-based pyramid that was inverted and placed

Rufina [12.5K]

Answer:

The slant height of the pyramid refers to the height of a face of the pyramid.

Notice that each slant height forms a right triangle like the image attached shows, where the hypothenuse is the slant height. Additionally, the bottom leg is 1 yard, because is half of the base side, and the other leg is 2 yard. Using Pythagorean's Theorem, we have

$h^{2} =1^{2} +2^{2} \\h=\sqrt{1+4}=\sqrt{5}$

Therefore, the slant height is the square root of 5 yard.

The surface area of the composite figure is the sum of the surface area of both volumes.

<h3>Surface area of the cube.</h3>

$S_{cube}=5(2yd)^{2} =20 yd^{2}$

Notice that we only included 5 faces of the cube, that is because the sixth is the base of the pyramid, so if we include it here, we would have the wrong total surface area.

<h3>Surface area of the pyramid.</h3>

$S_{pyramid}=\frac{1}{2}pl$

Where $p$ is the perimeter of the base and $l$ is the slant height.

$S_{pyramid}=\frac{1}{2}(8yd)(\sqrt{5}yd )=4\sqrt{5}yd ^{2}$

Therefore, the surface od the composite figure is

$S_{total}=20yd^{2} +4\sqrt{5} yd^{2} \approx 29.94 yd^{2}$

To find the cubic yards of concrete, we need to subtract the volume of the figures, because the concrete would be inside the space between the cube and the pyramid.

$V_{concrete}=V_{cube} -V_{pyramid}=l^{3}- \frac{1}{3}l^{2}h$

Where $l=2yd$ and $h=2yd$

$V_{concrete}=2^{3}-\frac{1}{3}(2)^{2} (2)=8-\frac{8}{3} \approx 5.33 yd^{3}$

Therefore, it would be needed 5.33 cubic yards of concrete to make the planter.

8 0

3 years ago