Y = a sin b x
amplitude = a
period = 2π /b.
<span>y = 6 sin x
a = 6
b = 1
</span>
a, the amplitude, represents the highest point a graph reaches;
a = 6
The period represents the length of a cycle-
the period = 2π /b = 2π/1 = 2π
<h3>
Answer: Yes, those sides form a right triangle</h3>
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Work Shown:
a^2+b^2 = c^2
15^2+20^2 = 25^2
225+400 = 625
625 = 625
Since the last equation is true, this makes the first equation true for those a,b,c values. Therefore, by the pythagorean theorem converse, this is a right triangle.
Side note: c is always the longest side.
Answer:
A = 63.59
C = 28.26
Step-by-step explanation:
r = 4.5
Area of a circle:
A = πr²
A = 3.14(4.5²)
A = 3.14(20.25)
A = 63.59
Circumference:
C = 2πr
C = 2(3.14)(4.5)
C = 28.26
The answer is 3/2
Explanation:
You do the change in Y over the change in X
Answer:
35 dogs
Step-by-step explanation:
Given

Required
Determine the number of dogs for 20 cats
Represent the required number of dogs as a ratio of number of cats

So, we have:


Since, the ratio is the same throughout, we have:
= 
Convert ratio to fraction


Multiply through by 20


