All categories

2 years ago

Find the value of x. Write your answer in simplest form. x =

Mathematics

1 answer:

faust18 [17]2 years ago

4 0

Answer:

x = 7

Step-by-step explanation:

The relevant trig relation is ...

Sin = Opposite/Hypotenuse

sin(30°) = x/14

x = 14·sin(30°) = 14·0.5 . . . . . multiply by 14 and evaluate

x = 7

_____

<em>Additional comment</em>

The triangle shown is a 30°-60°-90° triangle. The ratios of sides, shortest-to-longest, are ...

1 : √3 : 2

As we have seen here, the shortest side is 1/2 the length of the longest side, so x = 14/2 = 7.

This triangle and these ratios show up often, so it can be worthwhile to remember these ratios.

You might be interested in

Imagine you are a financial analyst at an investment bank. According to your research of publicly-traded companies, 60% of the c

lilavasa [31]

Answer:

0.0667 = 6.67% probability that the shares of a company that fires its CEO will increase by more than 5%.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this problem:

Event A: Company fires the CEO

Event B: Shares increase by more than 5%.

Probability of a company firing it's CEO:

35% of 100 - 4 = 96%(shares did not increase by more than 5%).

60% of 4%(shared did increase by more than 5%).

$P(A) = 0.35*0.96 + 0.6*0.04 = 0.36$

Intersection of events A and B:

Fires the CEO and shared increased by more than 5%, is 60% of 4%. So

$P(A \cap B) = 0.6*0.04 = 0.024$

Probability that the shares of a company that fires its CEO will increase by more than 5%.

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.024}{0.36} = 0.0667$

0.0667 = 6.67% probability that the shares of a company that fires its CEO will increase by more than 5%.

5 0

3 years ago

In the figure, the measure of Angle 8 = 96 and the measure of Angle 12 =42. Find the measure of Angle 9.

r-ruslan [8.4K]

ANSWER: 84; Consecutive Interior Angles Theorem

6 0

3 years ago

A pie was cut into two equal pieces. Each of the pieces of pie was cut into halves again, and each of those smaller pieces was c

Verdich [7]

3/4

Step-by-step explanation:

If you cut a whole pie into two you get two (2) ½ pieces

1 ÷ 2 = ½

When you cut the two ½ pieces into two you get four (4) ¼ pieces;

½ ÷ 2 = ¼

When you cut the four ¼ pieces into two you get 8 1/8 pieces;

¼ ÷ 2 = ¹/8

Therefore the whole pie at this point is made up of 8 ¹/8 pieces. When two (2) of these pieces are eaten we are left with 6 ¹/8 pieces;

8 – 2 = 6

The portion of the pie left therefore is;

6 * ¹/8 pieces

= ⁶/8

= ³/4

8 0

3 years ago

2. Describe the means-extremes property.

GREYUIT [131]

Step-by-step explanation:

For example:

Ex: 2:3 :: 6:9

In this question, the means are 3 and 6.

The extremes are 2 and 9.

We use this method to find whether the two ratios are equal or not.

We multiply the means and the extremes, and if there products are same, then these two ratios are proportional.

If these two ratios are proportional, their "means" = "extremes"

=> Means = Extremes

=> 3 x 6 = 2 x 9

=> 18 = 18

So, these two ratios are proportional.

Hope this helps you.

8 0

3 years ago

What is the arithmetic mean for the following numbers,88,80,75,70,38,45,70,60,60,50

Natalija [7]

Answer:

63.6

Step-by-step explanation:

X=£fx/n

= 88+80+75+70+38+45+70+60+60+50/10

= 636/10

= 63.6

Mark me as Brainliest.

Please feel free to ask if you have any questions.

Thanks

5 0

2 years ago