Answer:
3,053.6
Step-by-step explanation:
You do need to be more specific, the volume of a sphere is V = 4/3 π r^3, it does not need to be related to a cylinder. So if you know the radius, you can calculate the volume.
Hope this helps!
All the love. Ya boi Fraser :)
Answer:
∠8 = 40°, ∠6 = 50°, ∠9= 140°
Step-by-step explanation:
∠8 = 40° (vertically opposite angles are congruent)
now, using angle sum property of triangles
∠6 + 90° + 40° = 180°
∠6 = 180° - 130°
∠6 = 50°
and, using exterior angle property,
50° + 90° = ∠9 = 140°
The height of the trapezoid is 
Explanation:
AKLM is a trapezoid.
The measurements of the trapezoid are AK=13, LM=14, KL=5, AM=20
We need to find the height of the trapezoid.
Let M' be a point on AM that is 5 units toward point A from M.
Let B be a point on AM such that KB⊥AM. Let x = AB; then BM' = 15 -x.
Using Pythagorean theorem, we have,
--------(1)
-----------(2)
Subtracting the two equations, we have,

Simplifying, we get,

Subtracting both sides of the equation by 225, we get,

Dividing by 30, we get,

Substituting
in the equation
, we get,




Thus, the height of the trapezoid is 
Answer:
Equation for the skating palace
= 6 + 2x
Step-by-step explanation:
Let the number of hours = x
For skating palace, the equation is written as:
The slating palace charges a $6.00 shoe rental fee plus $2.00 an hour to skate.
$6 + $2 × x
= 6 + 2x
For Mathland , the equation is written as:
Mathland skating rink charges $4.00 an hour to skate .
$4 × x
= 4x
Therefore, the equation that represents the situation on the skating palace is :
6 + 2x
Answer:
Step-by-step explanation:
you need to go in between the lines of the number line becuase half of one eighth is one fourth