Step-by-step explanation:
a)
DA is tangent and at point A and OA is radius of the circle.
(Angle formed at the circumference of the circle is half the angle formed at the center of the circle)

Answer:
radius = 2.05 units
Step-by-step explanation:
The volume of a sphere is given by the formula:
. In this formula:
- V = volume of the sphere
- r = radius of the sphere
Since we are given the volume of the sphere (36 units^3), we just need to solve for r in the equation for the volume of a sphere.
Substitute 36 for V into the formula and solve for r.

Divide both sides by
. To do this, multiply 36 by the reciprocal of
.
Simplify and rewrite the equation.

Now divide both sides of the equation by pi (
).
Rewrite the equation.

To isolate and solve for r, cube root both sides of the equation.
The radius of this sphere is 2.04835218977 units. If your question wants this rounded to the nearest:
- whole number: 2 units
- tenth: 2.0 units
- hundredth: 2.05 units
- thousandth: 2.048 units
I'll just give the answer rounded to the nearest hundredth as that seems the most popular.
The office must buy 6 5- gallons jugs each month for Best Water to cost less.
Answer:
There would be 15 girls and 21 boys
5x + y = 15
y = -5x + 15
Substituting y= -5x+15 from first equation into second equation:
3x + 2y = 16
3x + 2·(-5x + 15) = 16
3x - 10x + 30 = 16
-7x + 30 = 16
7x = 30 - 16 = 14
x = 2
Substituting x=2 into the first equation:
5x + y = 15
5(2) + y = 15
10 + y = 15
y = 15 - 10
y = 5
So your final answers are x=2 and y=5.