Answer:
31.4 in³
Step-by-step explanation:
The box is just big enough to hold the 3 balls, so it must have a length 6 times the radius of each ball, a width 2 times the radius, and a height 2 times the radius.
The volume of the box is:
V = (6r)(2r)(2r)
V = 24r³
The volume of the 3 balls is:
V = 3 (4/3 π r³)
V = 4πr³
So the volume of the air is:
V = 24r³ − 4πr³
V = (24 − 4π) r³
Since r = 1.4 inches:
V = (24 − 4π) (1.4 in)³
V ≈ 31.4 in³
Answer:number of cupcakes sold is 13
Number of cookies sold is 27
Step-by-step explanation:
Let x represent the number of cupcakes that Jane sold.
Let y represent the number of cookies that Jane sold.
Each cupcake sold for $2.25 and each cookie sold for $0.50. At the end of the day, Jean had sold $42.75 worth of cookies and cupcakes.
This means that
2.25x + 0.5y = 42.75 - - - - - - - - - -1
she sold 40 cupcakes and cookies combined, it means that
x + y = 40
Substituting x = 40 - y into equation 1, it becomes
2.25(40 - y) + 0.5y = 42.75
90 - 2.25y + 0.5y = 42.75
- 2.25y + 0.5y = 42.75 - 90
- 1.75y = - 47.25
y = - 47.35/-1.75
y = 27
x = 40 - y
x = 40-27 = 13
.
Answer:
C. The electric car is not moving at 0 seconds and 12 seconds.
Step-by-step explanation:
Given:
The table given is:
x 0 2 4 6 8 10 12
y 0 45 72 81 72 45 0
From the above table, we observe that the car starts from rest and its speed increases from 0 to 6 seconds, the maximum speed being 81 mph.
After 6 seconds, the speed of the car goes on decreasing till it stops at time equal to 12 seconds.
So, the speed of the car at the start when 
is 0 mph as it is at rest at that time.
Also, when the time is 
, the car has come to a stop and thus its speed has reduced to 0 mph again. So, the car is not moving after 12 seconds.
From the above conclusion, we can say that only option C is correct.
The electric car is not moving at 0 seconds and 12 seconds.
Answer:
5⁴
Step-by-step explanation:
hope this helps you...
Answer:
9
Step-by-step explanation:
Equation
Sum = s = 180*(n - 2)
Solution
1260 = 180*(n - 2) Divide by 180
1260 / 180 = 180 * (n -2 ) / 180
7 = n - 2 Add 2 to both sides
9 = n
Answer
The polygon has 9 sides.
