Answer:
9ft
Step-by-step explanation:
Since the triangles are similar, the corresponding sides are proportional.
Let the height of the flag pole be x feet.

We multiply both sides by 6 to get:

We reduce the fraction to get:

We now simplify


Answer:
96
Step-by-step explanation:
O is double D. And A is equal to O. Hence 2*48=96
Answer:
Let x = total number of apples picked by the prince
x=44
Step-by-step explanation:
1st troll payment
x-(0.5x+2)
x-0.5x-2
0.5x-2 (that is the amount of apples left after 1st troll payment)
2nd troll payment
(0.5x-2)-(0.5(0.5x-2)+2)
Simplifying,
(0.5x-2)-(0.25x-1+2)
(0.5x-2)-(0.25x+1)
0.5x-2-0.25x-1
0.25x-3 (apples remaining after 2nd troll payment)
3rd troll payment
(0.25x-3)-(0.5(0.25x-3)+2)=2
(0.25x-3)-(0.125x-1.5+2)=2
(0.25x-3)-(0.125x+0.5)=2
0.25x-3- 0.125x-0.5=2
0.125x-3.5=2
0.125x =2+3.5
0.125x=5.5
x=5.5/0.125 (divide both sides by 0.125)
=44 apples
Therefore total number of apples picked by the prince, x=44
That's unusual: repetition: -1/2 - 1/2.
Did you perhaps mean "Factor -1/2 out of (-1/2)x + 6?
Let's do that. Let's rewrite 6 as (-1/2)(-12).
Then (-1/2)x + 6 (-1/2)x -(1/2)(-12)
-------------- = ------------------------ = x - 1/2
-1/2 -1/2
Hope that's what you wanted. If not, please try to apply a similar approach to solving this particular problem.
Answersin -> 48
Step-by-step explanation:
solve for the length of the horizontal line by doing:
sin(55)=x/58
rearrange: x = sin(55) times 58 = 47.51
round UP to 48