Answer:
a = 
and b = 
Step-by-step explanation:
As we know, the radius of the unit circle is 1 unit (it is the hypotenuse in the right triangle, the blue line)
We use trigonometric formulas to find out a and b
- Sin(45) = opposite side / hypotenuse
<=> Sin(45) = b / 1
<=> b= Sin(45)*1 =
- Cos(45) = adjacent side / hypotenuse
<=> Cos(45) = a / 1
<=> a = Cos(45)*1 =
So: a = and b =
Answer:
C = 96.71 inches
A = 745.06 in ^2
Step-by-step explanation:
d = 30.8
The radius will be 1/2 d= 1/2 (30.8) = 15.4
The circumference = pi *d
= pi * 30.8
=96.761
The area = pi * r^2
= pi * (15.4)^2
= 745.06011
Answer:
D) xy/2 = 28
Step-by-step explanation:
Inverse Variation:
y = k/x
Given:
k = 56
Work:
y = k/x
y = 56/x
<u>xy = 56</u>
xy/2 = 28
xy = 28 * 2
<u>xy = 56</u>
Answer:
20m/s
Step-by-step explanation:
This can be solved using the acceleration / velocity equations.
Specifically,
v² = u² + 2as
Where
v = final velocity = what we need to find
u = initial velocity = given as 10.0m/s
a = acceleration = given as 0.5m/s²
s = distance = 300m
Hence,
v² = 10² + (2)(0.5) (300)
= 100 + 300
=400
v = √400 = 20 m/s
An example of a unit rate would be driving a car at 50 miles per hour. 50 miles per every 1 hour is a unit rate.
