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Sholpan [36]
3 years ago
12

1. Find the capacity in litres of a bucket 24cm in

Mathematics
1 answer:
Sav [38]3 years ago
8 0

Answer:

6.36l

Step-by-step explanation:

We compute first the volume:

V=pi×h/3×(R²+r²+rR), where h=20cm is the height, R=24/2=12cm is the top radius, r=16/2=8cm is the bottom radius.

We get: V=pi×20/3(12²+8²+12×8)=

20×pi/3(144+64+96)cm³

V=20×pi/3×304=6363.73cm³

In dm³ we have (divide by 1000) V=6.36dm³

By definition, 1dm³=1l, so the capacity is 6.36l

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What is the solution to the inequality in interval notation? |4x+6|≤14
alexandr1967 [171]

Answer: x>5

Step-by-step explanation: The Absolute Value term is |4x+6|

For the Negative case, we'll use -(4x+6)

For the Positive case, we'll use (4x+6)

-(4x+6) = 14

    Multiply

     -4x-6 = 14

    Rearrange and Add up

     -4x = 20

    Divide both sides by 4

     -x = 5

    Multiply both sides by (-1)

     x = -5

    Which is the solution for the Negative Case

(4x+6) = 14

    Rearrange and Add up

     4x = 8

    Divide both sides by 4

     x = 2

x=-5

x=2

6 0
2 years ago
A hiker carried 1 gallon of water on a hike. She drank 1/2 of the water when she stopped to rest and gave an equal amount of the
m_a_m_a [10]

Answer:

The answer to your question is 1/8

Step-by-step explanation:

Data

Total volume = 1 gallon

Water drank by the hiker = 1/2

Water drank by each of his friends = ?

Process

1.- Calculate the water that he gave to his friends

Water gave to his friends = 1 - 1/2

                                          = 1/2

2.- Calculate the amount of water each friend received.

            1/2 ÷ 4 = 1/8

3.- Conclusion

Each of the friends received 1/8 of the gallon.              

6 0
3 years ago
One smartphone plan costs $52 per month for talk and messaging and $8 per gigabyte of data used each month. A second smartphone
valina [46]

Answer:

Both plans would cost $100 if 6 gigabytes of data are used.

Explanation:

From the question, the system of equation are correctly represented by using small letter c to represent the total cost in dollars for both equations as already assumed in the question as follows:

c = 52 + 8d ........................... (1)

c = 82 + 3d ........................... (2)

Since c is common to both, equations (1) and (2) can therefore be equated and d solved for as follows:

52 + 8d = 82 + 3d

8d - 3d = 82 - 52

5d = 30

d = 30 / 5

d = 6

Substituting d = 6 into equation (1), we have:

c = 52 + (8 * 6)

c = 52 + 48

c = 100

Since d = 6 and c = 100, it therefore implies that both plans would cost $100 if 6 gigabytes of data are used.

5 0
2 years ago
How can you tell if a triangle has no congruence theorem?
oee [108]
I think I know what you're asking but I'm not 100% but there would be no equal sides or equal angles. Hope this helps!
5 0
3 years ago
Evalvate functions helppp!?
AURORKA [14]
The answer is 19.. substitute -1 into the function whenever you see x put -1 there. This implies that 3+16 =19
6 0
2 years ago
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