Answer:
-0.555
Step-by-step explanation:
The terminal point of the vector in this problem is
(-2,-3)
So, it is in the 3rd quadrant.
We want to find the angle 
that gives the direction of this vector.
We can write the components of the vector along the x- and y- direction as:
The tangent of the angle will be equal to the ratio between the y-component and the x-component, so:
However, since we are in the 3rd quadrant, the actual angle is:
So now we can find the cosine of the angle, which will be negative:
Answer:
Person A paints the house in 12 days.
person B paints the house in 60 days.
Step-by-step explanation:
The together rate is the sum of each separate rate.
Person A can paint the neighbor's house 5 times as fast as Person B.
This means that the rate of person A is 1/x, and the rate of person B is 1/5x.
The year A and B worked together, it took them 10 days.
This means that:
Multiplying everything by 10x
This means that:
Person A paints the house in 12 days.
person B paints the house in 60 days.
Answer:
Here is the graph I made, starting from (-3,1) to (-2,-1) it goes down 2 units and over 1 unit.
We want to know when we brought it back in to the room. at that time
the temperature difference is 80 - 42 = 38 so we have to solve
<span>
38=9<span>e<span>^−.3344t</span></span></span> for t
this time we get
<span><span>38 / 9</span>=<span>e^<span>−.3344t</span></span></span>
<span>t=<span><span>ln(<span>38 / 9</span>)</span><span> / −.3344</span></span></span>
<span>t=−4.3</span>
so 4.3 minutes before 2:10
Answer:
Number 11: She has to add 5/36 of a cup
Number 12: The present costs $22,2
Number 13: 56,7 pounds is the weight of the package.
Number 14: You started with 40 muffins
Step-by-step explanation:
<u>Number 11</u>: 1/4 = 9/36 and 1/9 = 4/36
3*1/4 - 3*1/9 = 3*9/36 - 3*4/36 = 5/36
<u>Number 12:</u> 13,32/x= 3/5 ( or 0,6)
x = 13,32/0,6 = 22,2
<u>Number 13:</u> x * 5/7 = 40,5
x = 40,5/ (5/7) or 40,5 * 7/5 = 283,5/5 = 56,7
<u>Number 14:</u> 12/x = 3/10 (or 0,30)
x= 12/0,30 = 40
