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3 years ago

Find x. Round to the nearest tenth: 28° 350 ft y x = [ ? ]ft

Mathematics

1 answer:

Korolek [52]3 years ago

6 0

Answer:

745.5 ft

Step-by-step explanation:

Reference angle (θ) = angle of depression = angle of elevation = 28° (alternate angles are congruent)

Opposite side = 350 ft

Hypotenuse = x

Apply the trigonometric function, SOH:

Sin θ = Opp/Hyp

Sin 28° = 350/x

x = 350/Sin 28

x = 745.5 ft (nearest tenth)

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A jar contains 3 red, 2 white, and 1 green marble. Aside from color, the marbles are indistinguishable. Two marbles are drawn at

IRISSAK [1]

Answer:

0.6

Step-by-step explanation:

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Order matters in case of permutations but does not matter in combinations.

Given:

Number of red marbles = 3

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Number of green marbles = 1

To find: probability of picking 4 marbles and getting one of each color

Solution:

Total number of outcomes = $6_C__4$ = $\frac{6!}{4!\,2!}=\frac{6\times 5\times 4!}{4!\times 2}=15$

Number of favourable outcomes = 2 red, 1 white and 1 green marble + 1 red, 2 white and 1 green marble = $3_C_2\,2_C_1\,1_C_1+3_C_1\,2_C_2\,1_C_1$ = $\frac{3!}{2!\,1!}\times \frac{2!}{1!\,1!}\times 1+\frac{3!}{2!\,1!}\times 1\times 1=6+3=9$

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3 years ago

You roll a 6-sided die.<br> What is P(even or factor of 45)?<br> Write your answer as a percentage.

jonny [76]

Answer:

30% because the chance of the whole dice is 6

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2 years ago

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podryga [215]

Answer:

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Step-by-step explanation:

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3 years ago

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Nana76 [90]

Answer:

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Step-by-step explanation:

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BlackZzzverrR [31]

Answer:

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