Step One
======
Find the length of FO (see below)
All of the triangles are equilateral triangles. Label the center as O
FO = FE = sqrt(5) + sqrt(2)
Step Two
======
Drop a perpendicular bisector from O to the midpoint of FE. Label the midpoint as J. Find OJ
Sure the Pythagorean Theorem. Remember that OJ is a perpendicular bisector.
FO^2 = FJ^2 + OJ^2
FO = sqrt(5) + sqrt(2)
FJ = 1/2 [(sqrt(5) + sqrt(2)] \
OJ = ??
[Sqrt(5) + sqrt(2)]^2 = [1/2(sqrt(5) + sqrt(2) ] ^2 + OJ^2
5 + 2 + 2*sqrt(10) = [1/4 (5 + 2 + 2*sqrt(10) + OJ^2
7 + 2sqrt(10) = 1/4 (7 + 2sqrt(10)) + OJ^2 Multiply through by 4
28 + 8* sqrt(10) = 7 + 2sqrt(10) + 4 OJ^2 Subtract 7 + 2sqrt From both sides
21 + 6 sqrt(10) = 4OJ^2 Divide both sides by 4
21/4 + 6/4* sqrt(10) = OJ^2
21/4 + 3/2 * sqrt(10) = OJ^2 Take the square root of both sides.
sqrt OJ^2 = sqrt(21/4 + 3/2 sqrt(10) )
OJ = sqrt(21/4 + 3/2 sqrt(10) )
Step three
find h
h = 2 * OJ
h = 2* sqrt(21/4 + 3/2 sqrt(10) ) <<<<<< answer.
Answer:
25.62
Step-by-step explanation:
the answer is rounded and pi was 3.14 to solve this
Answer: 1.) 57342
Tens = 57340
Hundreds = 57300
2.) 76564
Tens = 76560
Hundreds = 765600
3.) 95634
Tens = 95630
Hundreds = 95600
4.) 85756
Tens = 85760
Hundreds = 85800
5.) 63526
Tens = 63530
Hundreds = 63500
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
11 box 1: 12
11 box 2: 101
12 box 1: 80
12 box 2: 80
12 box 3: 80
13 box 1: 16
13 box 2: 16
13 box 3: 76
20 = y + 12
20 - 12 = y + 12 - 12
8 = y
x + 2 = 19
x + 2 - 2 = 19 - 2
x = 17
z - 313 = 176
z - 313 + 313 = 176 + 313
z = 489
