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Tems11 [23]
3 years ago
15

Solve the equation:

Mathematics
1 answer:
Elenna [48]3 years ago
7 0

Answer:

-2 ± √14/2

Step-by-step explanation:

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Answer:

volume =  \frac{1}{3} \pi {r}^{2} h \\  =  \frac{1}{3}  \times  \frac{22}{7}  \times  {( \frac{5.5}{2}) }^{2}  \times 11.2 \\  = 88.7 \:  {km}^{3}

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2 years ago
Find (a) the number of subsets and (b) the number of proper subsets of the set.
vaieri [72.5K]

Answer:

(a) Total No. of Subsets = 128

(b) Total No. of Proper Subsets = 127

Step-by-step explanation:

First we need to define the set of days of the week.

Set of Days of Week = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}

It is evident from the set of days of the week, that it contains 7 elements.

(a)

The total no. of subsets of a given set is given by the following formula:

Total No. of Subsets = 2^n

where,

n = no. of elements of the set = 7

Therefore,

Total No. of Subsets = 2^n

Total No. of Subsets = 2^7

<u>Total No. of Subsets = 128</u>

(b)

The total no. of proper subsets of a given set is given by the following formula:

Total No. of Proper Subsets = (2^n) - 1

where,

n = no. of elements of the set = 7

Therefore,

Total No. of Proper Subsets = (2^n) - 1

Total No. of Proper Subsets = (2^7) - 1 = 128 - 1

<u>Total No. of Proper Subsets = 127 </u>

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