Answer:
14 weeks.
Step-by-step explanation:
15x-10=200
add 10 to both sides
15x= 210
divide by 15
x=14 .
The radius of the cylinder is 2.92 cm
<u>Explanation:</u>
Given:
Volume of cylinder, V = 193 cm³
Height of the cylinder, h = 7.2 cm
Radius of the cylinder, r = ?
We know:
Volume of cylinder = πr²h
On substituting the value we get:
Therefore, the radius of the cylinder is 2.92 cm
Answer:
2 Units
Step-by-step explanation:
THere may be easier ways to do it, but I would just convert them to rectangular and find the distance between those.
(3, -60) becomes (3cos(-60), 3sin(-60)) = (3/2, -3*sqrt(3)/2)
(-5, 105) becomes (-5cos(105), -5sin(105)) = (5/2, -5sqrt(3)/2)
Now just use the distance formula, or in other words think of the two points as being connected by a horizontal and vertical line to form a right triangle. The idea is to find the hypotenuse of that right triangle.
sqrt((3/2 - 5/2)^2 + (-3sqrt(3)/2 + 5sqrt(3)/2)^2)
sqrt((-2/2)^2 + (2*sqrt(3)/2)^2)
sqrt(1 + 3)
sqrt(4)
2
Height of sculpture/shadow of sculpture = height of tower/shadow of tower
x/12 = 12/16
16x = 12*12
16x = 144
x = 144/16
x = 9
The sculpture is 9 meters tall
