Answer: the length of the angle bisector of angle ∠A is 6 ft
Step-by-step explanation:
The diagram of the right angle triangle ABC is shown in the attached photo
Looking at triangle ABC,
cos θ = adjacent side/hypotenuse side
cos θ = 5/13 = 0.3846
θ = 67.38 degrees
The bisector of an angle divides it into two equal halves. The bisector is represented by line AD.
θ/2 = 67.38/2 = 33.69 degrees
Therefore,
Cos 33.69 = 5/AD
AD × Cos 33.69 = 5
AD = 5/Cos 33.69 = 5/0.832
AD = 6 ft
the complete question is
Find two numbers whose difference is 46 and whose product is a minimum
Let
x------->larger number
y-------> smaller number
P-------> product of the two numbers
we know that
-----> equation 1
-----> equation 2
substitute equation 1 in equation 2
![P=x*[x-46]\\ P=x^{2} -46x](https://tex.z-dn.net/?f=%20P%3Dx%2A%5Bx-46%5D%5C%5C%20P%3Dx%5E%7B2%7D%20-46x%20)
using a graph tool
see the attached figure
Find the value of x for that the product P is a minimum
the vertex is the point 
that means, for 
the product is a minimum 
find the value of y

therefore
the answer is
the numbers are
and 
Answer:
mean=8 median =7 mode =6
Step-by-step explanation:
Answer:
First you have to know what x and y mean in the equation. They told you in the problem that x is the avg # of feet the tree grew each month. That means that the number multiplied by x is the number of months.Y will be the total height. That number is 57.6. When y = 57.6, the number that should be multiplied by x is 16.The tree starts at 8 ft tall, not 0 feet, so the y-intercept in this equation should be 8, because even when 0 months have passed, it will be 8 ft tall. So you know the equation will have the +8 in it added to the slope times x part.It should be d. 16x + 8 = 57.6.
Step-by-step explanation:
Answer:
For each payment made, the amount left decreases by $150.
Step-by-step explanation:
The sequence of numbers in the "Amount Left" column has a common difference of -150. This means the amount left decreases by $150 for each payment made.