Answer: 24.2° SouthWest
<u>Step-by-step explanation:</u>
First step: DRAW A PICTURE of the vectors from head to tail <em>(see image)</em>
I created a perpendicular from the resultant vector to the vertex of the given vectors so I could use Pythagorean Theorem to find the length of the perpendicular. Then I used that value to find the angle of the plane.
<u>Perpendicular (x):</u>
cos 35° = adjacent/hypotenuse
cos 35° = x/160
→ x = 160 cos 35°
<u>Angle (θ):</u>
sin θ = opposite/hypotenuse
sin θ = x/320
sin θ = 160 cos 35°/320
θ = arcsin (160 cos 35°/320)
θ = 24.2°
Direction is down (south) and left (west)
Answer:
1092
Step-by-step explanation:
Step one:
given data
Ms Lucas has 9 cases of crayon with 52 boxes in each case
total crayon is
9*52= 468
Ms Bruns has 6 cases of crayon with a 104 in each case
total crayon is
6*104= 624
The total crayon is
468+624= 1092
Answer
N/A
Step-by-step explanation:
lets take a step into our imaginations, ok?
So when you divide, you're basically splitting the numerator into as many parts as the denominator.
imagine you have a chocolate bar, and it has 6 pieces and you want to split it evenly between your 3 friends.
you split it into three equal parts to get 2 pieces per person.
When you divide 0 by 0, your splitting 0 chocolate bars into 0 equal portions, which is why this problem isn't solvable.
Answer:
The required inequality is: 
Step-by-step explanation:
Consider the provided information.
Gurnaz has been mowing lawns to save money for a concert. Gurnaz will need to work for at least six hours to save enough money, but he must work fewer than 16 hours this week.
Let the number of hours Gurnaz work is represented by x.
Gurnaz will need to work for at least six hours to save enough money,
That means he can work 6 or more than 6 hours,
He must work fewer than 16 hours this week. That means the value of x should be less than 16.
Thus, the required inequality is:
Now draw the graph of the inequality.
Use a dot or close circle to represents ≤ or ≥ and use a open circle to represent < or >.
The value of x is greater than or equal to 6 also the value of x is less than 16. The required graph is shown below.
Answer:
B
Step-by-step explanation:
√3 is an irrational number, 2 is a rational number.
the product of this will be 2√3 in surds form, and when pressed into the calculator will provide you with an irrational answer.
