Answer:
Step-by-step explanation:
By using the cos square identity in trigonometry i.e., cos2ϴ = 1 – sin2 ϴ, we can evaluate the exact value of cos(33 ). For calculating the exact value of cos(∏/6), we have to substitute the value of sin(30°) in the same formula.
cos(30°) = √1 – sin230°
The value of sin30° is 1/2 (Trigonometric Ratios)
cos(30°) = √1 – (1/2)2
cos(30°) = √1 – (1/4)
cos(30°) = √(1 * 4 – 1)/4
cos(30°) = √(4 – 1)/4
cos(30°) = √3/4
Therefore, cos(30°) = √3/2
Answer:
1.5x=6
x=4
Step-by-step explanation:
The area is length times width so 1.5 times x is the correct equation. Make x equal to one by dividing both sides by 1.5. x=6/1.5. Simplify this to get x=4.
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Answer:
The solution is (2, -2)
Step-by-step explanation:
In order to solve this, multiply the second equation by -5 and then add through.
5x - 4y = 18
-5x - 15y = 20
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-19y = 38
y = -2
Now that we have the value of y, we can solve for x.
x + 3y = -4
x + 3(-2) = -4
x - 6 = -4
x = 2
Answer:
Step-by-step explanation:
Given
See attachment for figure
Required
The scale factor (k)
Since point C is the center of dilation, the scale factor (k) is calculated using:
So, we have:
Answer: 60
Explanation: The whole circle ( the clock ) is 360 degrees. I just did 360 divided by 6 because 10 minutes x 6 = 60 minutes. I don’t really know how to explain that part, I just know it. 360 divided by 6 is 60. I hope this helps. :)