Answer:
a) y = 16/x²
b) x = 4/5
Step-by-step explanation:
You want the equation for y in terms of x when y is inversely proportional to the square of x, and y is 16 when x is 1. Further, you want the value of x when y is 25.
<h3>(a) Relation</h3>
The wording "inversely proportional to the square" means the form of the equation is ...
y = k/x² . . . . . . where k is the constant of proportionality
The value of k can be found from the given (x, y) pair.
k = x²y = (1)²(16) = 16
The equation is ...
y = 16/x²
<h3>(b) Value of x</h3>
Solving for x gives ...
x = √(16/y)
Then the value of x for y = 25 is ...
x = √(16/25)
x = 4/5
Answer:
14 years
Step-by-step explanation:
If the value of the car is $28,000 and each year the value goes down by $2,000 it will be $0 in 14 years. 28/2=14
Answer:
9
Step-by-step explanation:
Given that:
Dimension of Original photo = 4 inches by 6 inches
Intended dimension of model = 3 feet by 4 1/2 feets
Converting from feets to inches :
1 foot = 12 inches
Therefore,
Intended dimension of model :
3 feets = (3 * 12) = 36 inches
by 4 1/2 feets = (4 1/2 * 12) = 54 inches
Hence, scale factor required :
36 /4 = 9
54 / 6 = 9
Scake factor = 9
Answer: 5.6
===================================
Work Shown:
cos(angle) = adjacent/hypotenuse
cos(B) = AB/BC
cos(62) = AB/12
12*cos(62) = AB
AB = 12*cos(62)
AB = 5.63365875
AB = 5.6
