<span>arc length = circumference • (central angle (degrees) ÷ 360)
</span>radius * 2 * PI = arc length / (<span>central angle (degrees) ÷ 360)
radius = [</span>arc length / (<span>central angle (degrees) ÷ 360)] / 2*PI
</span><span>radius = [48*PI / 120/360] / 2*PI
</span><span>radius = 72
</span>
Answer:
458
Step-by-step explanation:
There are only 4 3-digit numbers that have a 5 in the ten’s place and the one’s place is twice of the hundreds place.
152, 54, 356, and 458
If we reverse the order of the digits, we see that 458 becomes 854.
854-458=396
Answer:
4x^2+3x^3
Step-by-step explanation:
hope this helps you
Answer: 3y - x - 42 = 0
Step-by-step explanation:
The equation y + 1 = -3(x - 5)
Now expand the expression by opening the brackets
y + 1 = -3x + 15
Recall,
Equation of line , y = mx + c , where m = slope
rearranging the equation above in order to determine the ( m)
y = -3x -1 + 15
y = -3x + 14
Recall again condition for perpendicularity
m₁m₂ = -1
From the equation given, m₁ = -3, therefore , to get m₂
-3 x m₂ = -1
-3m₂ = -1
Therefore m₂ = -1/-3
m₂ = 1/3
Now , to find the equation of the second line parallel to the first one,
Just replaced the -3 in the equation above by m₂ = 1/3 in
y = -3x + 14
y = x/3 + 14
Now , multiply both the RHS and LHS of the equation by 3, to make it a linear.
3y = x + 3 x 14
3y = x + 42
3y - x - 42 =0
-4x+7=2y-3
Put this in y=mx+b
-4x+10=2y
Switch it around
2y=10-4x
Put it in y=mx+b
2y=-4x+10
Divide by 2
y=-2x+5
