2 because once you double it, it becomes 4. Once you add 4, you get 8. When you subtract your number, which is 2, you get 6. Then when you subtract 3, you get 3. 3 is your number (2) plus 1
Answer:
Step-by-step explanation:
the perimeter of the semi-circle would be the diameter plus the circumference of half of the circle.
They want to know the perimeter of a square using the diameter of the sem-circle as ONE side, so the perimeter of the square would be 4 times the ONE side.
We should recall:
diameter = 2 times the radius circumference of a cirlce = 2π r
How do we find the diameter of the of the semi circle?
The perimeter of the semi circle is given as 108 cm
Perimeter of the semicirle = 2r + π r diameter plus semi circumference
108 = r ( 2 + π) factor out the r and solve for r
108 / (2 + π) = r divide both sides by ( 2 + r)
Now we know r, the perimeter of the squqre is 4 times 2r or 8r
perimeter of square = 8 [ 108 / (2 + π) ] π I used 3.14
= 864 / 5.14
= 168.1 cm I got rounded to nearest tenth
<em>When I re-checked by work I found a few math, logic and calculation errors. Please re-check my answer for any more mistakes.</em>
9514 1404 393
Answer:
(3) p^3 -3p
Step-by-step explanation:
(a +1/a) = p . . . . . . . given
(a +1/a)^3 = p^3 . . . . . . . . cube both sides
a^3 +3a^2(1/a) +3a(1/a)^2 +(1/a)^3 = p^3 . . . . . . expand
(a^3 +1/a^3) +3(a +1/a) = p^3 . . . . . . . . . . simplify, group
(a^3 +1/a^3) +3p = p^3 . . . . . . . . . . substitute p for a+1/a
(a^3 +1/a^3) = p^3 -3p . . . . . . subtract 3p from both sides
Answer:
a. 535
b. 565
c. 468
d. 1115
Step-by-step explanation:
9624/18 = 534.66666666.... rounded = 535
12,085/26 = 465 (rounded)
7490/16 = 468.125 rounded = 468
18,954/17 = 1115 (rounded)
You divide by the price of one ticket since then, you can find the amount of people whom bought the ticket.
Perimeter of a rectangle formula:
P = 2L + 2W
Length equals:
L = 2W + 15
Substitutute 2W + 15 for L
78 = 2(2(15 + W) + 2W
Multiply the inner parentheses
78 = 2(30 + 2W) + 2W
Multiply the parentheses
78 = 60 + 4W + 2W
Add like terms
78 = 60 + 6W
Subtract 60 from both sides
18 = 6W
Divide both sides by 6
3 = W
Length equals:
2W + 15 = L
Substitute 3 for W
2(3) + 15 =L
Multiply the parentheses
6 + 15 = L
Add like terms
21 = L
