Answer:
Step-by-step explanation:
Component form of a vector is given by 
, where 
represents change in x-value and 
represents change in y-value. The magnitude of a vector is correlated the Pythagorean Theorem. For vector 
, the magnitude is 
.
190 degrees counterclockwise from the positive x-axis is 10 degrees below the negative x-axis. We can then draw a right triangle 10 degrees below the horizontal with one leg being , one leg being , and the hypotenuse of the triangle being the magnitude of the vector, which is given as 9.
In any right triangle, the sine/sin of an angle is equal to its opposite side divided by the hypotenuse, or longest side, of the triangle.
Therefore, we have:
To find the other leg, , we can also use basic trigonometry for a right triangle. In right triangles only, the cosine/cos of an angle is equal to its adjacent side divided by the hypotenuse of the triangle. We get:
Verify that 
Therefore, the component form of this vector is 
80 x 3 = 240
240 / 5 = 48
There are 48 pieces of candy in one bag.
<span>Hope This Helps You!
Good Luck Studying :)</span>
Answer:
The answer to your question is Volume = (1/3)(x²)(x + 2)
Step-by-step explanation:
Data
length = x
height = x + 2
Volume = ?
Formula
Volume = 1/3Ab h
Process
1.- Calculate Ab
Ab = length x length
-Substitution
= (x)(x)
-Simplification
= x²
2.- Substitution
Volume = (1/3)(x²)(x + 2) or (1/3)(x³ + 2x²)
<span>multiply 42.50 by 10% then add that answer to 42.50 to get the total price she will have to pay.</span>
