Answer:
Step-by-step explanation:
y = kx represents a proportional relationship between x and y
where,
k is the constant of proportionality
Given:
d = st
Where,
d = distance
s = speed
t = time
The constant of proportionality of the quantities d, s and t is speed(s)
Speed(s) remains constant at a given time and distance
The equation can be written in different forms below:
d = st
S = d/t
t = d/s
Real world example of proportional relationships
• F=ma
Where,
F=Force
m=mass
a=acceleration
F=ma is used to calculate force
Answer:
Step-by-step explanation:
1. Supplementary
2. complementary
3. neither
4. These two are vertically opposite so neither.
5. Supplementary
6. They add to 90 so they are complementary
7. They add to 180 so they are supplementary.
8. These 2 are equal and vertically opposite. They are neither for this exercise.
9. Complementary: they add to 90.
Answer:
f(x) = 54(two-thirds) Superscript x minus 1
Step-by-step explanation:
Given that:
First peak : 36 / 54=2/3
Second peak : 24 / 36 = 2/3
The common ratio here is 2/3 ; which mean each bounce height is 2/3 of previous height
Modeling this using geometric progression :
An=a1r^(n-1)
An = nth term of a geometric progression
a1=first term
r=common ratio = 2/3
n = nth term
a1=54
Substituting into the above formular :
An=54(2/3)^(n-1)
Answer:
Notice that the values of sine and cosine are between 0 and 1. You found them by dividing the length of a leg by the hypotenuse. The hypotenuse is the longest side, so the numerator is less than the denominator. That means the output of the sine or cosine function is always less than 1.
Step-by-step explanation:
