Answer:
The volume of the figure is 905 cubic units.
Step-by-step explanation:
Rotation is a method of solid transformation which involve turning a given line, or object about a reference point. In the given question, rotating segment AB completely about the y-axis would form a 3 dimensional figure of a sphere.
volume of a sphere = 
where r is the radius of the sphere.
Given that AB = 6, then the radius of the sphere = 6
volume of sphere = x 
x 
= 
x 216
= 905.14
volume of sphere = 905 cubic units
The volume of the figure is 905 cubic units.
Answer: Probability of obtaining a multiple of 3 and a factor of 10 is given by
Step-by-step explanation:
Since we have given that
There is a fair spinner numbered 1-5 and a fair dice
Total number of outcomes of fair spinner = 5
Total number of outcomes of a fair dice = 6
Let Event A: Getting a multiple of 3 on a spinner
Event B: Getting a factor of 10 on a fair dice
The possible outcomes of multiple of 3 on a spinner is
The possible outcomes of factor of 10 on a fair dice are
So,
and
Since A and B are independent events so,
Hence, Probability of obtaining a multiple of 3 and a factor of 10 is given by
Answer:
Number of small cups of lemonade that was sold by Ashley = 98
Number of large cups of lemonade that was sold by Ashley = 57
Step-by-step explanation:
Let x = number of small cups of lemonade that was sold by Ashley.
Let y = number of large cups of lemonade that was sold by Ashley.
x small cups of lemonade was sold for $1.25 and y large cups of lemonade was sold for $2.50. The total cost was $265. This means
1.25x + 2.5y = 265 - - - - - - -1
Ashley sold a total of 155 small and large cups of lemonade. This means
x + y = 155 - - - - - -2
Substituting x = 155-y into equation 1,
It becomes
1.25(155-y) + 2.5y = 265
-1.25y + 2.5y = 265
- 1.25y + 2.5y = 265 -193.75
1.25y = 71.25
y = 71.25/1.25
y = 57
x = 155-y = 155-57
x = 98
Answer:
Length = 7 cm
Step-by-step explanation:
Step 1:
136 ÷ 8
Answer:
17
Hope This Helps :)
The answer is C. B' will be at the reflection over the x-axis, which means the flip the y-coordinate of B (3,5) becomes (3,-5).
