4a+7a= 11a
There alike terms
Step-by-step explanation:
3 more than the value of x
x+3
Step One
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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.
The statement is always true.
Let's take -.12*-.5*.2
-.12*-.5*.2=.012
And:
-.2*-.4*.3=.024
A positive multiplied by a positive is, obviously, a positive.
The result of two negative numbers multiplying together is always positive.
So, negative*negative*positive is a positive answer.
Answer:
13 Rungs
Step-by-step explanation:
According to the Question,
- Given, The length of the ladder that will run from the ground to the door of the treehouse is 9 feet ( 9 × 12 = 108 inches).
The plan recommends that the rungs of the ladder be spaced at 8-inch intervals.
- And, The first and last rung should be 6 inches from the respective ends.
Thus, the rungs Cover on 108 -(6+6) = 96 inches with 8-inch gaping between each rung.
- Therefore, the Total Rungs on the treehouse ladders have (96/8)+1 ⇒ 13 Ladders.
