<u><em>Answer:</em></u>
Radius of the ball is approximately 6.5 cm to the nearest tenth
<u><em>Explanation:</em></u>
The ball has the shape of a sphere
<u>Surface area of a sphere can be calculated using the following rule:</u>
Surface area of sphere = 4πr² square units
<u>In the given problem, we have:</u>
Surface area of the ball = 531 cm²
<u>Substitute with the area in the above equation and solve for the radius as follows:</u>
which is approximately 6.5 cm to the nearest tenth
Hope this helps :)
Answer:
Step-by-step explanation:
Circumference of the column 
Circumference of a circle
Therefore:
Area of a Circle 
Since radius of the cross section of the column =9 meters
Area of the cross section of the column
Answer: 20/33
Step-by-step explanation:
According to the table of statistics given for the politicians
number of Dem. Senator = 20
number of Rep. Senator = 13
Total for Senators = 33
Let E be the event,
The required probability is:
P(E) = P(Dem)
= 20/33
Cot 8° 13'=cot(8+13/60)
=cot(8+.216......)
=cot8.216......
=cos/sin8.216......
=6.925...........
Answer:
∠ B = 45°
Step-by-step explanation:
∠ A and ∠ Bare alternate exterior angles and are congruent , then
5x - 15 = 2x + 21 ( subtract 2x from both sides )
3x - 15 = 21 ( add 15 to both sides )
3x = 36 ( divide both sides by 3 )
x = 12
Then
∠ B = 2x + 21 = 2(12) + 21 = 24 + 21 = 45°
