Answer:
<u>9 inches are 1/4 or 0.25 yards and we used inches in the numerator and yards in the denominator for our ratio.</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
1 yard = 36 inches
2. In converting 9 inches to yards, what unit (omit the number) would you place in the numerator of your ratio?
This is the ratio for calculating the answer:
36/1 = 9/x
36x = 9 *1
36x = 9
x = 9/36
x = 1/4 or 0.25 yards
<u>9 inches are 1/4 or 0.25 yards and we used inches in the numerator and yards in the denominator for our ratio.</u>
Answer:
450
Step-by-step explanation:
1 centimeter is equivalent to 10 millimeters . Therefore, 45 centimeters will be equivalent to;
45*10 = 450 millimeters
Use these equations when converting polar equations to parametric equations:


We know that
, so substitute that into both equations for x and y.


Now, replace
with any variable that you want to represent the parametric equations in. I'll use the standard variable, 


Thus,
represented in parametric form is:

Let me know if you need any clarifications, thanks!
~ Padoru
Answer:
20,158 cases
Step-by-step explanation:
Let
represent year 2010.
We have been given that since 2010, when 102390 Cases were reported, each year the number of new flu cases decrease to 85% of the prior year.
Since the flu cases decrease to 85% of the prior year, so the flu cases for every next year will be 85% of last year and decay rate is 15%.
We can represent this information in an exponential decay function as:


To find number of cases in 2020, we will substitute
in our decay function as:



Therefore, 20,158 cases will be reported in 2020.
Answer:
The answer is below
Step-by-step explanation:
Select the quadrant in which the terminal side of the angle falls.
210° terminates in quadrant
-150° terminates in quadrant
390° terminates in quadrant
Solution:
The x and y axis divides the cartesian plane into four equal parts known as the four quadrants.
Angles between 0° and 90° are in the first quadrant, angles between 90° and 180° are in the second quadrant, angles between 180° and 270° are in the third quadrant while angles between 270° and 360° are in the fourth quadrant.
a) Since 210 degrees is between 180° and 270°, hence it terminates in the third quadrant.
b) -150° = 360 - 150 = 210°. Since 210 degrees is between 180° and 270°, hence it terminates in the third quadrant.
c) 390° = 390° - 360° = 30°.
Since 30 degrees is between 0° and 90°, hence it terminates in the first quadrant.