All categories

2 years ago

Find x. Round your answer to the nearest tenth of a degree.

Mathematics

1 answer:

Paha777 [63]2 years ago

3 0

Answer:

x = 50.5°

Step-by-step explanation:

Use SOH CAH TOA... Since the adjacent and hypotenuse are given, you must use cosine.

cos(x) = 14/22

cos^-1 (14/22) = 50.5°

You might be interested in

Luke is swimming in a river with a current flowing west to east at a constant speed of 3.5 meters/second. Assume that Luke's wat

Nitella [24]

Decompose each velocity in its i and j - coordinates.

1) River's velocity

3.5 m/s, west fo east = 3.5i + 0j

2) Luke's velocity

5m/s, 60° east of north

5* sin(60°) i + 5*cos(60°) j = 4.33 i + 2.5 j

3) Resultant velocity

[3.5i + 0j] + [4.33i + 2.5j] = 7.83i + 2.5j

resultant speed = √[ (7.83)^2 + (2.5)^2 ] = 8.22 m/s

angle = arctan(2.5 / 7.83) = 17.7° north of east (equal to 72.3° east of north).

6 0

3 years ago

Read 2 more answers

Suppose box A contains 4 red and 5 blue poker chips and box B contains 6 red and 3 blue poker chips. Then a poker chip is chosen

sergejj [24]

Answer:

0.5172 = 51.72% probability a blue poker chip was transferred from box A to box B, given that the coin just chosen from box B is red

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 question:

Event A: Coin chosen from box B is red.

Event B: Blue poker chip transferred.

Probability of choosing a red coin:

7/10 of 4/9(red coin from box A)

6/10 of 5/9(blue coin from box A). So

$P(A) = \frac{7}{10}*\frac{4}{9} + \frac{6}{10}*\frac{5}{9} = \frac{28 + 30}{90} = 0.6444$

Blue chip transferred, red coin chosen:

6/10 of 5/9. So

$P(A \cap B) = \frac{6}{10}*\frac{5}{9} = \frac{30}{90} = 0.3333$

What is the probability a blue poker chip was transferred from box A to box B, given that the coin just chosen from box B is red?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3333}{0.6444} = 0.5172$

0.5172 = 51.72% probability a blue poker chip was transferred from box A to box B, given that the coin just chosen from box B is red

5 0

2 years ago

The sum of -7.68 and it’s additive inverse is??

Readme [11.4K]

The answer is 0. the additive inverse of a negative number is the same number but positive. to find the sum means to add them together. for example take 2 and -2. 2 is the additive inverse of -2. if you add 2+-2 the answer comes out to 0

4 0

3 years ago

How to graph -3x+y=3

nalin [4]

For this question I would put the problem into slope-intercept form or y=mx+b. So add 3x to both sides so that the equation becomes y=3x+3 Then this equation is easier to graph. the y-intercept is 3 so there is a point at (0,3). and the slope is 3 so you would go over 1 up 3. Then connect those points and you have finished the graph. Hope this helps.

5 0

3 years ago

Solve (x +9)2 = 25.

alexandr1967 [171]

Answer:

$x = - 4 \: or \: x = - 14$