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Soloha48
2 months ago
10

V=s^2+1/2sh solve for h

Mathematics
1 answer:
Inessa [12.5K]2 months ago
8 0
Initially, isolate the h variable by subtracting s^2 from both sides of the equation, leading to
V - s^2 = sh/2
Next, divide both sides by s/2 to find
h = 2 * (V - s^2) / s as your final result.
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Suppose we want to choose 2 objects, without replacement, from the 5 objects pencil, eraser, desk, chair, and lamp. (a)How many
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Answer:

a) 20 different arrangements

b) 10 different arrangements

Step-by-step explanation:

When the order of selection is significant, we utilize permutations to determine the number of arrangements; if the order does not matter, we apply combinations.

For part a)

We must select 2 items from a collection of 5, considering that order matters. This is a permutation scenario, thus we calculate 5P2.

The general formula for permutations of n items taken r at a time is:

nPr=\frac{n!}{(n-r)!}

By inserting n=5 and r=2, we have:

5P2=\frac{5!}{(5-2)!} =20

Hence, it is possible to select 2 items from a group of 5 when the selection order is relevant.

For part b)

Since the order of selection is unimportant, we use combinations to calculate the number of ways of selecting 2 items from 5, represented as 5C2.

The general formula for combinations of n items taken r at a time is:

nCr=\frac{n!}{r!(n-r)!}

Plugging n=5 and r=2 into the formula results in:

5C2=\frac{5!}{2!(5-2)!} =10

This demonstrates that we can choose 2 items from a collection of 5 when the order of selection is not significant.

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2 months ago
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Step-by-step explanation:

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