Answer:
-66/7
Step-by-step explanation:
1/3x-11=3/2x
2/6x-11=9/6x
7/6x=-11
x=-66/7
Mathematics is math, geometry, algebra, calculus
Answer:
Radius = 8.575 cm
Step-by-step explanation:
Formula for volume of a pyramid is;
V_p = ½Ah
Where A is area of base and h is height
Also, formula for volume of cone is given as;
V_c = ⅓πr²h
Now, we are told that V_p = V_c and that h is the same for both shapes.
Thus ;
½Ah = ⅓πr²h
h will cancel out to give;
½A = ⅓πr²
Cross multiply to give;
3A/2π = r²
Base area of pyramid is given as 154 cm². Thus;
(3 × 154)/2π = r²
r = √((3 × 154)/2π
r = 8.575 cm
Answer:

Step-by-step explanation:
we have

solve for x
That means ----> isolate the variable x
Divide by k both sides

Adds 7 both sides

Rewrite

Basically the line is 180° in total.
If one side is 129°
then the other side is 180 - 129
which means x = 51°