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 
Answer:
cost to make paper signs = $1
cost to make laminated signs = $2
Step-by-step explanation:
Let
x = cost to make paper signs
y = cost to make laminated signs
8x + 2y = 12 (1)
10x + 10y = 30 (2)
Multiply (1) by 5
40x + 10y = 60 (3)
10x + 10y = 30 (2)
Subtract (2) from (3) to solve for x
40x - 10x = 60 - 30
30x = 30
x = 30/30
x = $1
Substitute x = 1 into (1)
8x + 2y = 12
8(1) + 2y = 12
8 + 2y = 12
2y = 12 - 8
2y = 4
y = 4/2
y = $2
cost to make paper signs = $1
cost to make laminated signs = $2
Answer:
It takes 70 minutes for 9 team members (painting 60 sq ft per minute) to paint a 4200 sq ft wall.
Step-by-step explanation:
According to the situation the calculation is shown below:-
= 
= 240 sq ft each member of the team in 36 minutes
= 
= 6.67 sq ft each member of the team within 1 minute

= 60 sq ft for every 9 team members in one minute
= 
= 70 minutes (or 1 hour and 10 minutes)
Hence, the 70 minutes is taken for 9 team members
Answer:
<u><em>C, </em></u> Expression B and Expression D
Step-by-step explanation:
<h2><u><em>
Step 1 : Analyzing the question:</em></u></h2>
The regular price of an item at a store is p dollars. The items is
on sale for 10% off the regular price. Some of the expressions
below represent the sale price, in dollars, of the item.
It says " <em>item on sale for 10% off </em>". That means
or
.
<h2><u><em>
Step 2 : Looking at the next portion of the question:</em></u></h2>
Expression A: 0.1p
Expression B: 0.9p
Expression C: 1 - 0.1p
Expression D: p - 0.1p
Expression E: p - 0.0p
<u>Expression A</u> doesn't make any sense. It only shows the how
much you save
<h3>
<em><u>Expression B:</u></em> This is one of the answer. </h3><h3 /><h3>

</h3><h3 />
<u>Expression C: </u> You can't subtract
from 
<h3>
<em><u>Expression D: </u></em> D makes sense.

</h3><h3 />
<u>Expression E: </u> This is the same thing as 
<h2><u><em>
Step 3: The answers:</em></u></h2>
<u><em>The answer is C .</em></u>
First would be Red Marbles Second would be Blue and last Yellow. (remember this is <em><u>not</u></em> exact)
I'm sure this is good! :D