What is the correct answer?

PLEASE HELP ASAP ILL GIVE BRAINLIEST!!!!!<br><br>find measure of arc MK

Gwar [14]

Answer:

Arc length MK = 15.45 units (nearest hundredth)

Arc measure = 58.24°

Step-by-step explanation:

Calculate the measure of the angle KLN (as this equals m∠KLM which is the measure of arc MK)

ΔKNL is a right triangle, so we can use the cos trig ratio to find ∠KLM:

$\sf \cos(\theta)=\dfrac{A}{H}$

where:

$\theta$ is the angle
A is the side adjacent the angle
H is the hypotenuse (the side opposite the right angle)

Given:

$\theta$ = ∠KLM
A = LN = 8
H = KL = 15.2

$\implies \sf \cos(KLM)=\dfrac{8}{15.2}$

$\implies \sf \angle KLM=\cos^{-1}\left(\dfrac{8}{15.2}\right)$

$\implies \sf \angle KLM=58.24313614^{\circ}$

Therefore, the measure of arc MK = 58.24° (nearest hundredth)

$\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right) \quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle)}$

Given:

r = 15.2
∠KLM = 58.24313614°

$\implies \textsf{Arc length MK}=2 \pi (15.2)\left(\dfrac{\sf \angle KLM}{360^{\circ}}\right)$

$\implies \textsf{Arc length MK}=\sf 15.45132428\:units$

6 0

2 years ago

A furniture shop sells sofas for $680. If the shop wanted to offer the lower price of $540, what rate of markdown would it have

solmaris [256]

Answer:

down in rate = 680-540 = 140

% change = 140*100/680 = 20.58%

6 0

2 years ago

For what values of b is the relation R:{(b^2, 5), (5b, 6)} NOT a function?

Roman55 [17]

Answer:

b=0,b=5

Step-by-step explanation:

3 0

2 years ago

The theoretical probability of drawing a red card from a deck of cards is 1:2. Michael drew 20 cards and received 7 red and 13 b

Anon25 [30]

Answer and Step-by-step explanation:

Theoretical probability is expected probability of an occurrence hence the name theoretical. It is theoretical and not practical as it has not been experimented or actually become practical. Experimental probability on the other hand is probability that has been experimented- it is the result of test of probability on the actual population.

In the case above, the theoretical which is the expected probability that has not been experimented is 1/2 of getting Red cards. This probability is theoretical and therefore may change when tested. Hence the different result of 7 Red and 13 blacks with 20 cards picked when experimented

6 0

2 years ago

If y=4 when x=12, find y when x=-24

goldfiish [28.3K]

The value of y is -8 if the x -24 and y varies directly with x, and If y = 4 when x = 12.

<h3>What is a proportional relationship?</h3>

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

The question is incomplete.

The complete question is:

If y varies directly with x, and If y = 4 when x = 12, how do you find y when x = -24?

y ∝ x (given)

y = kx

k is the constant of proportionality.

4 = 12k (y = 4, and x = 12)

k = 1/3

y = x/3

Plug x = -24

y = -24/3

y = -8

Thus, the value of y is -8 if the x -24 and y varies directly with x, and If y = 4 when x = 12.

Learn more about the proportional here:

brainly.com/question/14263719

#SPJ1

3 0

1 year ago