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elixir [45]
2 years ago
6

Find the value of the variables, If your answer is not an integer leave it in simplest radical form.

Mathematics
1 answer:
snow_lady [41]2 years ago
3 0
sin (60) =  \dfrac{x}{12}

x = 12 sin(60)

x = 12 \times  \dfrac{ \sqrt{3} }{2}

x = 6 \sqrt{3} \text { (Answer D)}
You might be interested in
Which ratio is less than StartFraction 7 Over 15 EndFraction? StartFraction 9 Over 15 EndFraction Two-fifths Three-fifths StartF
Marianna [84]

Answer:

2/5

Step-by-step explanation:

First you want to find the least common denominator, which in this case would be 15. If you multiply 2/5 by 3, you get 6/15 which is less than 7/15

6 0
2 years ago
Read 2 more answers
The sum of two numbers is the same as four times the smaller number. If twice the larger is decreased by the smaller, the result
liraira [26]

The two numbers are 6 and 18

Step-by-step explanation:

The given is:

  • The sum of two numbers is the same as four times the smaller number
  • If twice the larger is decreased by the smaller, the result is 30

We need to find the the numbers

Assume that the smaller number is x and the larger number is y

∵ The smaller number = x

∵ The larger number = y

∵ The sum of the two numbers is the same as four times the

   smaller number

- That means add the two numbers and equate the sum by four

   times x

∴ x + y = 4x

- Subtract both sides by x

∴ y = 3x ⇒ (1)

∵ Twice the larger number is decreased by the smaller number,

   the result is 30

- That means multiply y by 2 and subtract x from the product,

    then equate the difference by 30

∴ 2y - x = 30 ⇒ (2)

- Substitute y in equation (2) by equation (1)

∵ 2(3x) - x = 30

∴ 6x - x = 30

- Add like terms in the left hand side

∴ 5x = 30

- Divide both sides by 5

∴ x = 6

- Substitute the value of x in equation (1) to find y

∵ y = 3(6)

∴ y = 18

The two numbers are 6 and 18

Learn more:

You can learn more about the system of equation in brainly.com/question/2115716

#LearnwithBrainly

5 0
3 years ago
Temperature transducers of certain type are shipped in batches of 50. A sample of 60 batches was selected, and the number of tra
djverab [1.8K]

Answer:

a.

Number:      0,    1,       2,     3,      4,       5,    6,    7,     8

Frequency:  6,    12,     13,     15,     5,      3,     3,    1,    1

b. The proportion of the batches that have at most is 0.864

Step-by-step explanation:

a. The given data are;

2 1 2 3 1 1 3 2 0 5 3 3 1 3 2 4 7 0 2 3

0 4 2 1 3 1 1 3 4 1 2 3 2 2 8 4 5 1 3 1

5 0 2 3 2 1 0 6 4 2 1 6 0 3 3 3 6 2 3

The frequencies are;

x     fx  

0     6

1      12

2     13

3      15

4      5

5      3

6      3

7       1

8       1

The relative frequency are;

x     Rfx  

0   0.102

1   0.203

2   0.220

3   0.254

4   0.085

5   0.051

6   0.051

7   0.017

8   0.017

b. The proportion of the batches that have at most 4 is given as follows;

The number of the batches that have at most 4 = 6 + 12 + 13 + 15 + 5 = 51

Therefore, the proportion of the batches that have at most 4 = 51 / 59 = 0.864.

3 0
2 years ago
Jen and Kamlee are walking to school. After 20
iVinArrow [24]

Answer:

Fghcv

Step-by-step explanation:

Gvhv

5 0
2 years ago
Jan and Wayne went to the store to buy some groceries. Jan bought 2 cans of corn beef hash and 3 cans of creamed chipped beef fo
kodGreya [7K]

Answer:

Corn Beef = x

Creamed Chipped beef = y

Jan:

2x + 3y = 4.95

Wayne:

3x +2y = 5.95

Graph two equation and find the point where two lines cross and that will be solution.

Point where two lines cross: (1.29, 0.79)

Corn Beef = $1.29

Creamed Chipped Beef = $0.79

Step-by-step explanation:

7 0
3 years ago
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