Answer:
cos(m∠B) = 2√5/5
Step-by-step explanation:
Easiest way is to guess and check on this problem. When you take the cos(m∠B), you would get 6/3√5, rationalized to 2√5/5. That would be the correct answer.
If x represents distance measured east of downtown, and y represents distance measured north of downtown, the circle of radius 40 centered at (-2.5, -2.8) will have an equation of the form
(x - h)² + (y - k)² = r²
where the center is (h, k) and the radius is r. The locus of points 4 miles from USC will satisfy the equation
(x +2.5)² + (y + 2.8)² = 1600
Step-by-step explanation:
To find a set of 3 leg lengths that will form a right-angled triangle, the square of the largest leg must be equal to the sum of the squares of the other 2 legs.
We try out all the options:
39² = 1521, 15² + 36² = 1521.
12² = 144, 8² + 4² = 80.
17² = 289, 13² + 9² = 250.
Since 39² equals 15² + 36², option A is the correct answer.
Explanation:
First, add by 25 both sides of an equation.

Then, simplify by equation and add/subtract by the numbers.

*The answer must be have a negative sign.

Hope this helps!
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Answer:
x = 1/3
Step-by-step explanation:
1 = 1/x -2
add 2 to both sides
3 = 1/x
x = 1/3