Answer:
The listener is approximately 71.414 feet far from the whisperer.
Step-by-step explanation:
We must remember that two fundamental variables for every ellipse are the major semiaxis (
) and the minor semiaxis (
). The major semiaxis equals a half of the length of the whispering gallery, whereas the minor semiaxis equals a half of the width of the whispering gallery. These are:
and 
The distance between both whisperers (
), measured in feet, is two times the distance between center and any of the foci (
), measured in feet, whose valued is obtained by using this Pythagorean identity:

If
and
, then:




The listener is approximately 71.414 feet far from the whisperer.
B. Because the absolute value of a number is the distance of that number from 0.
Ages of Kim and Kevin are 50 and 20 respectively.
<u>Step-by-step explanation:</u>
Step 1:
From given details, form equations. So let present age of Kevin be x.
In 10 years, Age of Kim = 2(x + 10)
5 years ago, Age of Kim = 3(x - 5)
Step 2:
Difference between these two period is 15.
⇒ 2(x + 10) - 3(x - 5) = 15
⇒ 2x + 20 - 3x + 15 = 15
⇒ -x = -20
⇒ x = 20
Step 3:
Calculate Kim's age.
In 10 years, Kim's age = 2(x + 10) = 2 × 30 = 60
So present age of Kim = 60 - 10 = 50
The change from one number to the next in a geometric sequence is called the common ratio
Answer:
<u><em>14 pounds of strawberries and 42 pounds of peaches are sold</em></u>
Step-by-step explanation:
Suppose the pounds of strawberries sold are x and pounds of peaches sold are y. then
$182= x(1) + y(4)--------A
or 182= x(1) +3x(4)------- B
182=x+12x
182/13=x
x=14