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3 years ago

7

A number cube has faces labeled 1-6. What is the probability of rolling a 4 on the number cube and landing on a 2 on this spinne

r?
A.2/6
B.3/6
C.2/36
D.3/36

1 answer:

Lunna [17]3 years ago

6 0

I think its A once again i THINK its A sorry if im wrong

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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°

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

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

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2 years ago

Solve for x <br><br> Please help

Elodia [21]

Answer:

The answer to your question is below

Step-by-step explanation:

1) Alternate interior angles measure the same

10x - 10° = 100°

10x = 100° + 10°

10x = 110°

x = 110° / 10°

x = 11°

2) Alternate exterior angles measure the same

x + 99° = 90°

x = 90° - 99°

x = -9°

3) Supplementary angles measure 180°

(6x + 12) + (14x + 8) = 180°

6x + 12 + 14x + 8 = 180°

20x + 20 = 180

20x = 180 - 20

20x = 160

x = 160 / 20

x = 8

4) Alternate exterior angles measure the same

26x + 1 = 131°

26x = 131° - 1°

26x = 130°

x = 130° / 26°

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5) Consecutive interior angles measure 180°

x + 100 + 85° = 180°

x + 185 = 180

x = 180 - 185

x = -5

6) Corresponding angles measure the same

7x - 7 = 70

7x = 70 + 7

7x = 77

x = 77 / 7

x = 11

7) Supplementary angles measure 180°

(12x + 8) + (100°) = 180°

12x + 8 + 100 = 180

12x + 108 = 180

12x = 180 - 108

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x = 72 / 12

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8) Consecutive interior angles measure 180°

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x = 182 / 26

x = 7

9) Corresponding angles measure the same

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x = -4/-1

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10) Consecutive interior angles measure 180°

(x + 107) + (x + 87) = 180

x + 107 + x + 87 = 180

2x + 194 = 180

2x = 180 - 194

2x = -14

x = -14 / 2

x = -7

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3 years ago