Solution:
we are given that
Nathan takes 42 minutes to thread a distance of 4.5 miles on a threadmill.
we have been asked to find the average distance covered in one minute.
Using the concept of unity we can write
Since Nathan takes 42 minutes to cover a distance of 4.5 miles.
So in 1 minute Nathan will cover a distance of 
Hence avearge distance covered in one minute is 1.1 miles.
Answer:
c. observed values of the independent variable and the predicted values of the independent variable
Step-by-step explanation:
This helps us, for example, find the values of y in a y = f(x) equation. y is dependent of x. So x is the independent variable and y the dependent. Obviously, this system is used for way more complex equations, in which is hard to find an actual pattern for y, so we use this method to compare the predicted values of y to the observed.
The correct answer is:
c. observed values of the independent variable and the predicted values of the independent variable
Answer:
21
Step-by-step explanation:
7.41 / 0.13 = 57
57 - 15 = 42
42 / 2 = 21
21, 36
Answer:
Part 1) 
Part 2) 
Part 3)
and 
Step-by-step explanation:
see the attached figure with letters to better understand the problem
step 1
Find the side b
we know that
In the right triangle ABC
The function sine of angle B is equal to divide the opposite side angle B (AC) by the hypotenuse (AB)

we have



substitute

solve for b


step 2
Find the side a
we know that
In the right triangle ABC
The function cosine of angle B is equal to divide the adjacent side angle B (BC) by the hypotenuse (AB)

we have



substitute

solve for a


step 3
Find the measure of angle A
we know that
In the right triangle ABC
----> is a right angle

∠A+∠B=90° ------> by complementary angles
substitute the given value



Annual Social Security benefit = 0.42 x $37,991 = $15,956.22
Annual bills = $1,755 x 12 = $21,060
Outstanding annual bill to be settled after using the Social Security benefit = $21,060 - $15,956.22 = $5,103.78
Monthly supplementary money needed = $5,103.78/12 = $425.32