Answer
Step-by-step explanation:
A=2πrh+2πr2=2·π·3·6+2·π·32≈169.646
Answer:
see the explanation
Step-by-step explanation:
Let
x ----> number of tennis balls
y ----> number of tennis rackets
we know that
To find out the ratio of tennis balls to tennis rackets, divide the number of tennis ball by the number of tennis rackets
In this problem we have

so

That means
The number of tennis balls is three-fifths times the number of tennis rackets
see the attached figure to better understand the problem
Answer:
m = - 1/4
Step-by-step explanation:
When two line is perpendicular to each other the product of them is - 1
So let the other line be B
Gradient of B = t
Gradient of A = 4

therefore m = - 1/4
Answer:
24: x = 31
25: x = 15
Step-by-step explanation:
Remark
24 is supplementary which means that the two angles add to 180o which is on the right hand side of the equation
25 is complementary which means that the two angles add to 90o which is on the left hand side of the equation
Twenty Four
3x + 31 +2x - 6 = 180 Collect the like terms
3x +2x + 31 - 6 = 180 Do the adding and subtracting.
5x + 25 = 180 Subtract 25 from both sides
5x + 25 - 25 = 180 - 25
5x = 155 Divide by 5
x = 155/5
x = 31
Check
3x + 31 = 3*31 + 31
3x + 31 = 93 + 31
3x + 31 = 124
2x - 6 = 2*31 - 6 = 62 - 6 = 56
Total 124 + 56 = 180 as it should.
Twenty Five
Equation
3x+ 4x - 15 = 90
Solution
7x - 15 = 90 Like terms have been collected on the left.
7x = 90 + 15 15 was added to both sides
7x = 105 Divide by 7
x = 15 I'll leave the check to you
They collected 300 cans in all. I did this by multipying 63 by 100 (6300) then divided it by 21. I hope this helps!