Answer:
m ∠RMK = 51°
Step-by-step explanation:
m ∠JMK = m ∠RMK + m ∠JMR
10x + 19 = 7x - 26 + 6x + 12
10x +19 = 13x -14
19 = 3x -14
33 = 3x
11 = x
m ∠RMK = 7(11) - 26 = 51°
m ∠JMR = 6 (11) + 12 = 78
Answer:
1,256.8in
Step-by-step explanation:
Given data
Height h =4in
Radius r= 5in
The expression for the volume of cylinder is
V=πr²h
Substitute
V=3.142*4²*5
V=3.142 *16*25
V=1,256.8in³
Answer:
2
Step-by-step explanation:
Find the gradient:
m = y2-y1 / x2-x1
m = 6-(-4) / 0-1
m = 10 / -1
m = -10
Slope intercept form:
y = mx + c
Input the values from one of the points to find c (imputing (1,-4) to y=mx+c):
-4 = -10(1) + c
-4 = -10 + c
c = -4 + 10
c = 6
Therefore, the equation is:
y = -10x + 6
Answer:
25.12 inches
Step-by-step explanation:
We have given the radius of the circle =12 inches
The central angle intercepted by the arc =120°
We have to find the length of the arc
So length of the arc is given by 
So the length of the arc will be 25.12 inch
