Answer:
-20 m/s.
Step-by-step explanation:
The computation of the average speed is shown below:
Given that
The initial velocity of the bus, u = 20 m/s
Aceleration of the bus, -a = 8 m/s²
time of motion, t = 5 s
Now The final velocity of the bus is
v = u + at
v = 20 + (-8 × 5)
v = 20 - 40
v = -20 m/s.
Answer:
Several ways may be used to <em>turn a sine function into a cosine function</em>, using the fundamental properties of both trigonometric functions. Here I deal with two of them.
One way is using the property cos(x) = sin (90° - x). Other is using the identity sin² (x) + cos² (x) = 1.
You will find a detailed explanation and an example below.
Step-by-step explanation:
By the definition of the sine and cosine functions, sin (90° - x) = cos (x), and cos (90° - x) = sin (x).
Hence, starting with the basic function y = sin (x), you can convert it into a cosine function substituting sin(x) with cos (90 - x), obtaining:
y = cos (90 - x)
- Now see an example:<em>Turn the sine function f(x) = 3 sin (30° - 2x) into a cosine function</em>.
f(x) = 3 sin (30° - 2x) = 3 cos [90° - (30° - 2x) ] = 3 cos [90° - 30° + 2x] =
= 3 cos [60° + 2x ]
Also, you can use the fundamental identity: sin² (x) + cos² (x) = 1
From which: sin² (x) = 1 - cos²(x) ⇒ sin (x) = +/- √ [1 - cos² (x) ]
- The same example:Turn the sine function f(x) = 3 sin (30° - 2x) into a cosine function.
- f(x) = 3 sin (30° - 2x) = +/- √[1 - 3 cos² (30° - 2x)]
Answer:
25
Step-by-step explanation:
p - 13 =12
p = 12 + 13
p = 25
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