The length of the segment is 12√3
We are given radius of inner circle = 6mm and that of outer circle = 12mm and chord of outer circle is tangent to inner circle
The point of intersection (consider T) of tangent to inner circle divides the chord (say AB) into two parts
let center = O , so radius of inner and outer circle and half the chord form a right angled triangle (say AOT)
where OT is perpendicular to AT.
We have OT = 6mm and OA = 12mm ,
applying pythagoras theorem we get
AT*AT = OA*OA - OT*OT
AT*AT = 144-36 = 108,
AT = 6√3
which gives AB = 2*AT
=12√3 which is the length of the segment
2. The ratio is 1:2, then:
3. When you apply the Altitud Rule, you obtain:
4. When you clear the "x", you have:
6. Therefore, the lenght of the hypotenuse is:
Scientific notation is defined as the representation of expressing the numbers that are too big or too small and are represented in the decimal form with one digit before the decimal point times 10 raise to the power.
For example : 5000 is written as
As we are given that the value is , and
The number not written in scientific notation is :
Therefore, the number which is not in scientific notation is .
The answer is 5√3
X is the number of scores of a gymnast.
X is a random variable with probabilities given as listed below:
Of those probabilities P(x=9) is not given.
But we can find out this using the fact total probability = 1
Given probability distribution as follows:
X 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 Total
p 0.02 0.02 0.06 0.1 0.16 0.14 0.18 0.18 k 0.02 0.88+k
Since total probability =1, we get 0.88+k = 1
Or k = 0.12
Using this we find that Probability that the gymnast scores a 9 or 9.5
= k+0.02 = 0.14
1. C - increasing the pressure
2. C - supersaturated
3. C - 16.7%
hope this helps :)
i pretty sure it is