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RideAnS [48]
3 years ago
5

Solve for x. Round to the nearest tenth, if necessary.

Mathematics
1 answer:
CaHeK987 [17]3 years ago
4 0

Answer:

x ≈ 8.8

Step-by-step explanation:

Using the sine ratio in the right triangle

sin20° = \frac{opposite}{hypotenuse} = \frac{PQ}{OQ} = \frac{3}{x} ( multiply both sides by x )

x × sin20° = 3 ( divide both sides by sin20° )

x = \frac{3}{sin20} ≈ 8.8 ( to the nearest tenth )

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Margaret drives 188 miles<br> with 8 gallons of gas. Find the unit rate
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The unit rate will be "23.5 miles/gallon". In the below segment, a further solution to the given question is provided.

Given values in the question are:

Total distance,

= 188 miles

Total gas used,

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Now,

⇒ The rate of gas consumption will be:

= \frac{Total \ distance}{Total \ gas \ used}

By putting the given values in the above formula, we get

= \frac{188}{8}

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7 0
2 years ago
B A pair of fair dice is rolled, If the sum of the spots is 7, determine the probability that one di showed a 2.
finlep [7]

Answer:

\text{Probability}=\frac{1}{3}

Step-by-step explanation:

Given : A pair of fair dice is rolled, If the sum of the spots is 7.

To find : Determine the probability that one die showed a 2 ?

Solution :

A pair of fair dice is rolled the outcomes are,

(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)

(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)

(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)

(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)

(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)

(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)

The sum of the spots is 7 i.e. (4,3),(2,5),(5,2),(3,4),(1,6),(6,1).

Total possibility = 6

Favorable outcome is that one die showed a 2 i.e. (2,5),(5,2)= 2

The probability that one die showed a 2 is given by,

\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total outcome}}

\text{Probability}=\frac{2}{6}

\text{Probability}=\frac{1}{3}

8 0
2 years ago
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35-4+2 = 31+2 = 33 F
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Y=-2 should be the answer
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