Answer:
5 rad
Step-by-step explanation:
Recall that the length of an arc of circumference is given by the formula:
, where 
is the subtended angle [in radians] from the circumference's center.
Therefore in this case, you know the arc length (81.5 cm), and the radius (16.3 cm), and can solve for the angle using the above equation as shown below:
To find the value of x we first need to find the missing angle in the triangle.
To do that we are gonna add the angles we already have.
64 + 45 = 109
Angles in a triangle measures 180 so to get the missing angle we are gonna subtract 109 from 180
180 - 109 = 71 deg
The missing angle in the triangle is 71 deg
Angles on a straight line adds up to 10 so to find x we are gonna subtract 71 from 180
180 - 71 = 109 degrees
Therefore x is 109 degrees.
<span>√(5*8*24) or anything along those lines, you can switch the numbers around , it wont matter</span>
Answer:
y = 1/2x+4
Step-by-step explanation:
First we find the slope
m = (y2-y1)/(x2-x1)
= (3-6)/(-2-4)
= -3/-6
=1/2
The equation of a line in slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y =1/2x+b
Substitute one of the point into the equation
6 = 1/2(4) +b
6 = 2+b
b=4
y = 1/2x+4
The square root of 255+266 is 241. I can't help you with shortcuts as I'm bad at explaining, but I'm sure there are websites that can help you.
