Answer:
cos(45°) = (√2)/2
Step-by-step explanation:
The cosine of 45° is the x-coordinate of the point on the unit circle where the line y=x intersects it. That is, it is the positive solution to the equation ...
x^2 +x^2 = 1
x^2 = 1/2 = 2/4 . . . . . collect terms, divide by 2, express the fraction with a square denominator
x = √(2/4) . . . . . . take the square root
x = (√2)/2 . . . . . simplify
The cosine of 45° is (√2)/2.
Answer:
y = root 9
Step-by-step explanation:
1/2 is equivalent to the root of something.
The root of y equals 3.
Therefore, y would be equal to root 9, as root 9 is equivalent to 3.
Hope this helps :)
Answer:
C. x=42
Step-by-step explanation:
16 + 3x + y = 180
126 + 16 + y = 180
y = 38
16 + 3x + 38 = 180
54 + 3x = 180
3x = 126
x=42
Answer:
The new slope is 1
Step-by-step explanation:
The slope of any two points can be found by:

Finding slope of (3,7) (4,9)

Finding slope of (4,9) (5,11)

So, the slope of the line is 2
Now if slope is divided by 2, new slope will be:

So, The new slope is 1
Keywords: slope between points of a line
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Answer:
For the circle with the diameter of 7cm, the <u>area is about 38.48cm</u> and the <u>circumference is about 22cm</u>
For the circle with the diameter of 5cm, the <u>area is about 19.63cm</u> and the <u>circumference is about 15.7cm</u>
Step-by-step explanation:
The formula to find the area of a circle is pi*r^2
The formula to find the circumference is 2*pi*r
r = radius, which can be determined simply by taking the diameter, and dividing it by 2.