To evaluate 8x: the value of x 4.0
Josie's height = 5 ft 6 in. = 5 1/2 ft = 11/2 ft.
Josie's shadow = 6 ft.
Ratio of shadow to height = 6 / 11/2 = 12/11
So, It would be equal to ratio of building's shadow to building's height.
18/x = 12/11
x = 18*11 /12
x = 3*11 / 2
x = 16.5
In short, Your Answer would be 16.5 Feet
Hope this helps!
First find the total of 2n by using the formula for summation:
( n(n+1))/2
Replace n with 24 and multiply the equation by 2 to get 2n:
2(24(24+1)2) = 2(24*25/2) = 2(600/2) = 600
Now find the total for -3 using the summation for a constant, which is multiplying n by the constant:
-3 x 24 = -72
Now add both summations together:
600 + -72 = 600 - 72 = 528.
The answer is 528.
You have to multiply 85x2.65 and it equals 225.25. This is the answer.
Answer:
Length OX = 7.09 units
Step-by-step explanation:
The diagram of the full question is attached to this solution.
Let the length of OX be x
Then length of OD = (13 - x)
From the image of the figure, it is given that
Angle BOL = Angle LOP
Let that angle be equal to θ
Angle BOL = Angle LOP = θ
But since lines BX, OL and PD are evidently parallel to one another, we can say that
Angle OPD = Angle LOP = θ (alternate angles are equal)
Also, Angle OBX = Angle BOL = θ (alternate angles are equal)
And from trigonometric relations,
Sin θ = (x/12)
And
Sin θ = (13 - x)/10
Since sin θ = sin θ
We can then equate
(x/12) = (13 - x)/10
cross multiplying
10x = 12 (13 - x)
10x = 156 - 12x
10x + 12x = 156
22x = 156
x = (156/22) = 7.091 = 7.09 to the nearest hundredth.
Hence, length OX = 7.09 units
Hope this Helps!!!