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Mkey [24]
3 years ago
11

Six times a number, increased by 3 is is 27. find the number

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
6 0

Answer : The number is 4.

Step-by-step explanation:

<u>Given : </u>

six times a number, increased by 3 is is 27.

<u>To Find: </u>

The number.

<u>Solution : </u>

Let the number is x

six times a number is 6x

Increased by 3 = 6x+3

According to the given question :

<u>Solving the value x : </u>

6x+3 =27

6x = 27-3

6x = 24

x = 24/6

x = 4

Hence, the number is 4.

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Answer: sqrt(2)/2  which is choice D

======================================================

Explanation

(3pi/4) radians converts to 135 degrees after multiplying by the conversion factor (180/pi).

The angle 135 degrees is in quadrant 2. We subtract the angle 135 from 180 to find the reference angle

180-135 = 45

Then you can use a 45-45-90 triangle to determine that the ratio of opposite over hypotenuse is sqrt(2)/2

sine is positive in quadrant 2

------------

Alternatively, you can use a unit circle. Refer to the diagram below. In red, I've circled the angle 3pi/4 radians. The terminal point for this angle has a y coordinate of sqrt(2)/2

Recall that y = sin(theta).

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Step-by-step explanation:

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