Answer:
x=5
Step-by-step explanation:
Set your equation up as following:
6x-10=3x+5
move the 3x to the left side by substracting
3x-10=5
now add 10 to the right side
3x=15
Divide 15 by 3 to isolate x
x=15/3
x=5
Answer:
108°
Step-by-step explanation:
The area of a sector is given by the formula ...
A = (1/2)r²θ . . . . . where θ is in radians
Solving for θ, we find ...
θ = 2A/r²
For your given sector, the central angle is ...
θ = 2(30π cm²)/(10 cm)² = 0.6π . . . . radians
π radians is 180°, so the central angle in degrees is ...
θ = (0.6)(180°) = 108°
The central angle measure of the sector is 108°.
Answer: y = -3x + 10
Step-by-step explanation:
Using the formula for finding the equation of line ;
y - 
= m ( x - 
)
= 4
= -2
m = -3
Substituting into the formula , we have
y - (-2) = - 3 ( x - 4 )
y + 2 = -3x + 12
writing the equation of the line in slope - intercept form , this means that we must make y the subject of the formula , that is
y = -3x + 12 - 2
y = -3x + 10
Volume of a cone is equal to pi * r^2 * h/3.
In this case:
pi * 6^2 * 9/3
pi * 36 * 3
108pi
Answer: 339.3
Answer:
402.1 in^2
Step-by-step explanation:
Find the area of the circle with the 18 in. radius first.
Formula for a circle is πr^2
So the area of the circle with the 8 in. radius is 1017.9 in^2
Now do the same for the 14 in. radius circle.
The area for the 14 in. radius circle is 615.8
Now subtract:
1017.9 - 615.8 =
402.1 in^2
hope this helped!
