Answer:
A: 779 cm²
B: 1837 cm²
Step-by-step explanation:
For both problems, use the formula for surface area of a cylinder:
SA = 2πr² + 2πrh
2πr² is the two bases.
2πrh is the curved surface.
<u>PROBLEM A</u>
"the cylinder is 60 cm long" is h = 60.
If given diameter, you can find "r" by dividing it by 2. d = 2r
Given d = 4, then r = 2.
SA = 2πr² + 2πrh
SA = 2π2² + 2π2(60)
SA = 8π + 240π Add
SA = 248π Exact answer
SA ≈ 779.114978 Answer on calculator
SA ≈ 779 Rounded answer
Remember to include the units.
The surface area is about 779 cm².
<u>PROBLEM B</u>
"80 cm long" h = 80.
"circumference of 22 cm". C = 22. Remember C = 2πr. Find "r".
C = 2πr
22 = 2πr
11 = πr
r ≈ 11/π
SA = 2πr² + 2πrh
SA = 2π(11/π)² + 22(80) Substitute 2πr with the circumference.
SA ≈ 1837.030992 Answer on calculator
SA ≈ 1837 Rounded answer
Remember to include the units.
The surface area is about 1837 cm².
Every number consists of digits. One digit is the least number of digits a number can have. The place value is the position of each digit in a number. <span>Digits are separated into groups of three by commas. So, a period is a group of three digits, but not any three digits. So, Drew's sentence is false. A period is a group of consecutive digits.</span>
Sarah bought 3 first class tickets and 7 coach tickets.
Step-by-step explanation:
Given,
Number of people = 10
Total amount spent on tickets = $4830
Cost of each coach ticket = $270
Cost of each first class ticket = $980
Let,
x be the number of coach tickets
y be the number of first class tickets
According to given statement;
x+y=10 Eqn 1
270x+980y=4830 Eqn 2
Multiplying Eqn 1 by 270
Subtracting Eqn 3 from Eqn 2
Dividing both sides by 710
Putting y=3 in Eqn 1
Sarah bought 3 first class tickets and 7 coach tickets.
Keywords: linear equation, elimination method
Learn more about elimination method at:
#LearnwithBrainly
If |2w - 3| > 5
then
2w - 3 < - 5 or 2w - 3 > 5
2w < - 5 + 3 or 2w > 5 + 3
2w < - 2 or 2w > 8
w < -2/2 or w > 8/2
w < -1 or w > 4
So the solution set is
S = { x E R : w < -1 or w > 4}
or using the interval notation
S = (- infinity, -1) U (4, + infinity).
I hope this helps. =)
Answer:
$0.22 per foot
Step-by-step explanation:
So for context, 1 yard is 3 feet. So 2 yards is 6 feet. With this, by dividing $1.32 by 6, you can get the price per foot:
1.32 / 6 ---> $0.22 per foot.
