Answer:
2,535,008
two million , five hundred thirty five thousand, eight
Yes, you are correct.
From the image, we can see 3 triangles, the large triangle and the two triangles that make the larger triangle.
All 3 of these triangles are similar since they're angle measurements are the same (can be proven by geometry).
We can gather the following information from the given information.
- The largest triangle (the one made up of two triangles) has a hypotenuse of 3+9=12, and a leg length of x. The hypotenuse to leg ratio is 12/x
- The second largest triangle has a hypotenuse length x and leg length 9. The hypotenuse to leg ratio is x/9
We know the hypotenuse to corresponding leg ratio must be equal since these two triangles are similar. Thus, we have the equation:
12/x = x/9
Using the cross product property gives us:
x² = 9 × 12
x² = 108
Taking the square root of both sides gives us:
x = √108
= 6 √3
Thus, your answer is correct. Great job!
Let me know if you need any clarifications, thanks!
Answer:
The equation representing how old Monique son is 
Step-by-step explanation:
From the given information:
A linear function can be used to represent the constant growth rate of Monique Son.
i.e.

where;
= initial height of Monique's son
= growth rate (in)
t = time
So, the average boy grows approximately 2 5/8 inches in a year.
i.e.


Then; from the equation 


The height of the son as a function of the age can now be expressed as:

Then:
Making t the subject;


and the age of the son i.e. ( a (in years)) is:
a = 2 + t
So;

SO;
if q (growth rate) = 50 inches tall
Then;


a = 2 + 6.095
a = 8.095 years
a ≅ 8 years
i.e.
Monique son will be 8 years at the time Monique is 50 inches tall.
Answer:
The probability that at most 38 of the 60 relays are from supplier A is P(X≤38)=0.3409.
Step-by-step explanation:
We can model this question with a binomial distribution random variable.
The sample size is n=60.
The probability that the relay come from supplier A is p=2/3 for any relay.
If we use a normal aproximation, we have the mean and standard deviation:

The probability that at most 38 of the 60 relays are from supplier A is P(X≤38)=0.3409:
