find the diameter of a circle that has a circumference, №9540895, 28.04.2022 15:39

Mathematics

Which circles have a circumference of 20pi units? choose all answers that are correct. a) a circle with a diameter of 40 units; b) a circle with a radius of 10 units; c) a circle with a diameter of 20 units; d) a circle with a radius of 20 units?

Step-by-step answer

P Answered by PhD

9

So, keep in mind that for a circle, circumference equals pi times the diameter. So, C=pi*d. In this problem, 20pi=pi*d. We can solve for d by dividing both sides by pi, for inverse operations: 20pi/pi=(pi*d)/pi. d=20. So, the diameter is 20 units. Finally, keep in mind that the radius is half the diameter. So, the radius is 20/2 units, or 10 units.

B, C

Mathematics

Which circles have a circumference of 20pi units? choose all answers that are correct. a) a circle with a diameter of 40 units; b) a circle with a radius of 10 units; c) a circle with a diameter of 20 units; d) a circle with a radius of 20 units?

Step-by-step answer

P Answered by PhD

9

So, keep in mind that for a circle, circumference equals pi times the diameter. So, C=pi*d. In this problem, 20pi=pi*d. We can solve for d by dividing both sides by pi, for inverse operations: 20pi/pi=(pi*d)/pi. d=20. So, the diameter is 20 units. Finally, keep in mind that the radius is half the diameter. So, the radius is 20/2 units, or 10 units.

B, C

Mathematics

An ice cream shop offers 5 different flavors of ice cream and 9 different toppings. How many choices are possible for a single serving of ice cream with one topping?

Step-by-step answer

P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45

Mathematics

An online media service offers video and music downloads. Each download of a song costs $1. Each download of a video costs 5 times as much as the song download. You have a credit of $70. How many songs can you purchase after buying 12 videos?

Step-by-step answer

P Answered by PhD