If we have a basis of 2 units for the length of the side of the square,
then MV = NV = 1

Using pythagoeran theorem
MN = sqrt (MV^2 + NV^2)
MN = sqrt(2)

Therefore,
sin θ = 1 /√2
or
sin θ = √2 / 2

5 0

3 years ago

Two times antonio's age plus three times sarah's age equals 34. Sarah's age is also 5 times antonio's age. how old is sarah

Sidana [21]

Sarah's 10 years old.
Antonio's 2 years old.

2 x 2 = 4
10 x 3 = 30
4 + 30 = 34

2 x 5 = 10

4 0

4 years ago

Read 2 more answers

Suppose you have 5 riders and 5 horses, and you want to pair them off so that every rider is assigned one horse (and no horse is

maw [93]

There are 120 ways in which 5 riders and 5 horses can be arranged.

We have,

5 riders and 5 horses,

Now,

We know that,

Now,

Using the arrangement formula of Permutation,

i.e.

The total number of ways $^nN_r = \frac{n!}{(n-r)!}$ ,

So,

For n = 5,

And,

r = 5

As we have,

n = r,

So,

Now,

Using the above-mentioned formula of arrangement,

i.e.

The total number of ways $^nN_r = \frac{n!}{(n-r)!}$ ,

Now,

Substituting values,

We get,

$^5N_5 = \frac{5!}{(5-5)!}$

We get,

The total number of ways of arrangement = 5! = 5 × 4 × 3 × 2 × 1 = 120,

So,

There are 120 ways to arrange horses for riders.

Hence we can say that there are 120 ways in which 5 riders and 5 horses can be arranged.

Learn more about arrangements here

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7 0

2 years ago