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Sergio039 [100]
2 years ago
5

Find the intersection of H and G find the union of H and G

Mathematics
1 answer:
ra1l [238]2 years ago
5 0

H∩G={1,9} INTERSECTION OF H AND G

H∪G={1,2,3,5,6,7,9,10,11,28} UNION OF H AND G

<u>Step-by-step explanation:</u>

Step-1:  

Let H={1,2,5,7,9,10} and G={1,3,6,9,11,28} are individual set

Intersection of H and G (H∩G) is {1,9} Which means the COMMON ELEMENTS in both the set.

Step-2:

Now the Union in both the set (H AND G) (H∪G) is {1,2,3,5,6,7,9,10,11,28}.

Which means ALL THE ELEMENTS in both set.

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From a point on a river, two boats are driven in opposite directions, one at 7 miles per hour and the other at 11 miles per hour
Bogdan [553]

Answer:

Both boats will be 54 miles apart after 3 hours.

Step-by-step explanation:

Given that from a point on a river, two boats are driven in opposite directions, one at 7 miles per hour and the other at 11 miles per hour, to determine how many hours they will be 54 miles apart, the following calculation must be performed :

54 / (11 + 7) = X

54/18 = X

3 = X

Therefore, both boats will be 54 miles apart after 3 hours.

4 0
3 years ago
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ValentinkaMS [17]

Answer:

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Step-by-step explanation:

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8 0
2 years ago
Solve for x 6(x-1)=9(x+2)
tigry1 [53]
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8 0
3 years ago
Read 2 more answers
A cone shaped paper water cup has a height of 12 cm and a radius of 6 cm. If the cup is filled with water to half its height, wh
monitta

Answer:

The portion of the volume of the cup that is filled with water is \frac{1}{8}

Step-by-step explanation:

step 1

Find the volume of the paper water cup

The volume of the cone is equal to

V=\frac{1}{3}\pi r^{2}h

we have

r=6\ cm

h=12\ cm

substitute

V=\frac{1}{3}\pi (6)^{2}(12)

V=144\pi\ cm^{3}

step 2

If the cup is filled with water to half its height, find out what portion of the volume of the cup is filled with water

Remember that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

In this problem the similar cone has half the height of the complete cone

so

The scale factor is equal to 1/2

therefore

The volume of the cup that is filled with water is equal to the volume of the complete cup by the scale factor elevated to the cube

V=(1/2)^{3}(144\pi)=(1/8)144\pi\ cm^{3}

therefore

The portion of the volume of the cup that is filled with water is

\frac{1}{8}

8 0
3 years ago
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alexandr1967 [171]
First you got to multiply 2x7=14x then multiply again 2x3=6 so the answer to the equation will be 2(7x+3)=(14x+6)
7 0
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