the number of degree in the central angle
Answer:

Step-by-step explanation:
we know that
The formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)
In this problem
The tangent of angle of 5 degrees is equal to the quotient of "rise over run"
Let
y ----> the rise of the ramp
x ----> the run of the ramp

we have

substitute and solve for x



Answer:
53
Step-by-step explanation:
50 - 12 = 38
38 + 15 = 53
Answer:
-The area of a circle:

or
(Rounded to nearest hundredth if needed)
Step-by-step explanation:
-Use the formula to find the area of a circle:

-After you have the formula set up, use the radius for the formula:

-Then, you solve the formula:



-Round up to the nearest hundredth (if needed):

<span>1) distance formula; d = √(x2-x1)² +(y2-y1)² . d= √(-4-8)² +(-3-7)² = > d= 2√61
diameter = 2*radius => 2√61 =2r => r =√61 => r² =61
midpoint of the diameter is:
Xm= -4-8 /2 -6 => -6
Ym = -1-9 /2 -5 => -5 center of the cirlce is at (-6,-5)
</span><span>general equation of a circle: (x-x1)² +(y-y1)² =r² with (x1,y1) being the center of the circle.</span><span>
equation: (x+6)+(y+5)=61
</span>