Use the slope formula to find the slope of the line in the graph shown above.

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

Choose all situations that correctly state the ratio. A neighborhood has 27 cats and 12 dogs. The ratio of cats to dogs in the n

Anastaziya [24]

Answer: The answers are given below.

Step-by-step explanation: All the given situations are -

* * * A neighbourhood has 27 cats and 12 dogs. So, the ratio of cats to dogs is

= 27 : 12 = 9 : 4. That is, for every 9 cats, there are 4 dogs.

Thus, the situation correctly states the ratio.

* * * In a class of 30 students, there are 16 boys and 14 girls. So, the ratio of girls to boys is = 14 : 16 = 7 : 8, because there are 7 girls for every 8 boys.

Thus, the situation does not state the ratio correctly.

* * * The won-lost ratio for a baseball team is 36 : 18 = 2 : 1. That is, the team won 2 games for each game lost.

Thus, the ratio does not state the situation correctly.

* * * The number of horses in a kingdom is 100, and the number of knights is 50. The ratio of knights to horses is = 50 : 100 = 1 :2. That is, There is one knight for every two horses.

Thus, the ratio states the situation correctly.

* * * Fifty-two out of the 88 keys on a piano are white, so ratio of white to black piano is = 52 : (88-52) = 52 : 36 = 13 : 9. That is, for every 13 white keys, there are 9 black keys.

Thus, the ratio does not state the situation correctly.

Hence, all are done.

3 0

4 years ago

What is the answer to -6 2/3 - -8 1/5

Dima020 [189]

The answer is 1 8/15

5 0

3 years ago

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