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2 years ago

Which expression gives the value of QR?

Mathematics

1 answer:

Montano1993 [528]2 years ago

8 0

Answer:

Step-by-step explanation:

using the Sine Rule in Δ QRS

$\frac{QR}{sinS}$ = $\frac{RS}{sinQ}$ ( substitute values )

$\frac{QR}{sin52}$ = $\frac{67}{sin80}$ ( cross- multiply )

QR × sin80° = 67 × sin52° ( divide both sides by sin80° )

QR = $\frac{67sin52}{sin80}$

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Which undefined term can contain parallel lines? O line O plane o point O ray

lapo4ka [179]

Answer:

should be a plane.

a plane is two dimensional and has intimate length and width. so it contains infinite lines.

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3 years ago

Which strategy would you use to find 2plus8?explain

nika2105 [10]

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3 years ago

Whats the simpilest form of the ratio 48 min to 3 hours.

MArishka [77]

15:4.

Step-by-step explanation:

1 hour = 60 min

3 hours = 60 x 3 = 180 min

Ratio:

180/48

Simplest form 15/4

Therefore, the simplest form of the ratio will be 15:4

7 0

3 years ago

Read 2 more answers

Your neighbor has a bag with 5 oranges and 7 apples in it. You will be receiving two pieces of fruit from your neighbor. What is

Snezhnost [94]

Answer:

31.82% probability that you will receive 2 apples.

Step-by-step explanation:

The fruits are removed from the bag, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

5 + 7 = 12 total fruits, which means that $N = 12$

7 apples, which means that $k = 7$

You receive 2 fruits, which means that $n = 2$

What is the probability, in percent, that you will receive 2 apples, assuming she removes them from the bag in random order?

This is, as a proportion, P(X = 2). So

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 2) = h(2,12,2,7) = \frac{C_{7,2}*C_{5,0}}{C_{12,2}} = 0.3182$

0.3182*100% = 31.82%

31.82% probability that you will receive 2 apples.

4 0

3 years ago

If secθ = 13\5 and 270° < θ < 360°, then tanθ = _____. -12\5 -5\12 5\12 12\5

r-ruslan [8.4K]

Answer:

tanΘ = - $\frac{12}{5}$

Step-by-step explanation:

Using the trigonometric identity

tan²Θ + 1 = sec²Θ, thus

tan²Θ + 1 = ( $\frac{13}{5}$ )² = $\frac{169}{25}$ ( subtract 1 from both sides )

tan²Θ = $\frac{144}{25}$ ( take the square root of both sides )

tanΘ = ± $\sqrt{\frac{144}{25} }$

Since 270 < Θ < 360 , that is the fourth quadrant where tan Θ < 0, thus

tanΘ = - $\frac{12}{5}$

4 0

3 years ago