Answer:
Step-by-step explanation:
cylinder's height=3×(diameter of sphere)=3×6=18 cm
radius of cylinder=3 cm
volume of cylinder=π r²h=π(3)²×18=162 π cm³
volume of sphere=4/3 π(3)³=36 π cm³
reqd. empty space=162 π-3×36π=54 πcm³
Answer:
The correct group of answer is D) 3 + (−4) = −1, because −1 is 4 units to the left of 3
Step-by-step explanation:
Consider the provided information.
Point P on the number line shows Lara's score after the first round of a quiz:
Point P is shown on 3.
That means after the first round her total was 3.
In round two, she lost 4 points.
Therefore, she score −4 points in 2nd round
To find the total points at the end of round 2, we need to add -4 to 3.
3+(−4)=−1
Here −1 is 4 units to the left of 3.
Hence, the correct group of answer is D) 3 + (−4) = −1, because −1 is 4 units to the left of 3
Answer:
562 child tickets were sold
217 adult tickets were sold
Step-by-step explanation:
A festival charges $3 for children admission and $5 for adult admission
At the end of the festival they have sold a total number of 779 tickets for $2771
Let x represent the child ticket
Let y represent the adult ticket
x + y= 779..............equation 1
3x + 5y= 2771..........equation 2
From equation 1
x + y = 779
x= 779 -y
Substitute 779-y for x in equation 2
3x + 5y= 2771
3(779-y) + 5y= 2771
2337 - 3y + 5y= 2771
2337 +2y= 2771
2y= 2771 -2337
2y = 434
y = 434/2
y = 217
Substitute 217 for y in equation 1
x + y= 779
x + 217= 779
x = 779-217
x= 562
Hence 562 child tickets were sold and 217 adult tickets were sold
Answer:
x = (y+w)/k
Step-by-step explanation:
xk-w=y
Add w to each side
xk-w+w=y+w
xk = y+w
Divide each side by k
xk/k = (y+w)/k
x = (y+w)/k
Answer:
the measure of angle x is 48