$123 = ($3b + $8.50c)
b + c = 30
b = 24 birds ($72)
c = 6 cats ($51)
51+72=123
There were 24 birds at the shelter on Tuesday.
Image a right triangle with two points at these two locations and the hypothenuse as the distance between them.
Find the length straight down from the first point to the second: 10 units
Find the length to the right from the first point to the second: 10 units
Use the Pythagorean theorem: a^2 + b^2 = c^2
10^2 + 10^2 = 200
√200 = 10√2 = 14.14 units
Answer:
a = 36 and a = 27
Step-by-step explanation:
The geometric mean of two numbers is the square root of the product of the two numbers.
Say for example we have the numbers x and y, the geometric mean z is mathematically;
z = √xy
For the first question, our z is 12, x and y are 4 and a respectively.
12 = √4a
square both sides
144 = 4a
a = 144/4
a = 36
For the second question
z is 9, x and y are 3 and a respectively
9 = √3a
square both sides
81 = 3a
a = 81/3
a = 27
