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Alik [6]
2 years ago
13

10

Mathematics
1 answer:
schepotkina [342]2 years ago
3 0

Answer:

3.56 cm.

Step-by-step explanation:

1/3 π r^2 h = V

1/3 π (5.13)^2 h  = 98

h = 98 / (1/3 π (5.13)^2)

=  98 / 27.55899

= 3.556.

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Micah pays 54$ for an item originally priced 60$. What percentage of the original price was his discount?
pantera1 [17]

Answer: The percentage of the original price was his discount = 10%

Step-by-step explanation:

Given: original price = $60

Price after discount =  $54

Discount = Price after discount  - original price

= $ (60-54) = $6

The percentage of the original price was his discount = \dfrac{Discount}{Original\ price}\times100

=\dfrac{6}{60}\times100\%\\\\=\dfrac{1}{10}\times100\%\\\\=10\%

Hence, the percentage of the original price was his discount = 10%

3 0
2 years ago
Find the sum and difference (first mixed number minus the second mixed number) for the following pair of mixed numbers. The answ
xz_007 [3.2K]

Answer:

Sum = 15 8/15, Difference = 1 2/15

Step-by-step explanation:

8⅓, 71/5

A. Sum

8⅓ + 7 1/5

Convert to improper fraction

25/3 + 36/5

Find the LCM of 3 and 5. The result is 15. Divide 15 by the denominator of each fraction and multiply the result obtained with the numerator. The result is shown below:

[(25×5) + (36×3)] / 15

[125 + 108] / 15

233 / 15

Convert to mixed fraction

15 8/15

B. Difference

8⅓ – 7 1/5

Convert to improper fraction

25/3 – 36/5

Find the LCM of 3 and 5. The result is 15. Divide 15 by the denominator of each fraction and multiply the result obtained with the numerator. The result is shown below:

[(25×5) – (36×3)] / 15

[125 – 108] / 15

17 / 15

Convert to mixed fraction

1 2/15

SUMMARY:

Sum = 15 8/15, Difference = 1 2/15

3 0
2 years ago
Mark ran 875 miles this year in the track club.Mark ran in 52 track meets and ran the same number of miles in each.How many mile
shepuryov [24]

Answer:

The number of miles Mark runs in each track be 16 \frac{43}{52}\ miles

Step-by-step explanation:

Let us assume that the number of miles Mark run in each track meet be x.

As given

Mark ran 875 miles this year in the track club.

Mark ran in 52 track meets and ran the same number of miles in each.

Than the equation becomes

52 × x = 875

x = \frac{875}{52}

x = 16 \frac{43}{52}\ miles

Therefore the number of miles Mark runs in each track be 16 \frac{43}{52}\ miles

7 0
3 years ago
The nth term of a sequence is 5n.<br> Work out the 10th term of this sequence.
Lilit [14]

Answer:

The 10th term is 50

Step-by-step explanation:

5(10) = 50

6 0
2 years ago
Javier worked 2.4 hours on Monday and 3.8 hours on Tuesday. His pay rate is 10.25 an hour. How much will he pay, in dollars,for
Aliun [14]
The answer would be 63.55


4 0
3 years ago
Read 2 more answers
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