Applying the cosine law, we can determine:
<span>c</span>²<span> = a</span>²<span> + b</span>²<span> - 2abcos(C) </span>
<span>where: </span>
<span>a, b, and c represent the sides of the triangle and C indicates the angle opposite to side c</span>
<span>Thus, we have:</span>
<span>150</span>²<span> = 240</span>²<span> + 200</span>²<span> - 2(240)(200)cos(C) </span>
<span>Now we solve for C</span>
<span>22,500 = 57,600 + 40,000 - 96,000cos(C) </span>
<span>22,500 - 57,600 - 40,000 = -96,000cos(C)
</span>-75,100=-96,000cos (C)
cos (C)=0.7822916
C=arc cos(0.7822916)→ C=38.53°
<span>Therefore, the direction the captain should head towards island B is
180 - 38.53 </span><span>= 141.47 degrees</span>
Answer:
________{0.50 if x < 3
________{1.00 if 3 ≤ x < 6
f(x) = ____{1.50 if 6 ≤ x < 9
________{2.00 if 9 ≤ x < 12
Step-by-step explanation:
Based on the details provided:
Employees with less than 3 years receive an increase of $0.50 hourly
Employees with at least 3 years but under 6 years receive $1.00 increase hourly
Employees with a minimum of 6 years and less than 9 get $1.50 increase hourly
Employees with at least 9 years but below 12 years receive $2.00 increase hourly
This information can be expressed as a piecewise function:
________{0.50 if x < 3
________{1.00 if 3 ≤ x < 6
f(x) = ____{1.50 if 6 ≤ x < 9
________{2.00 if 9 ≤ x < 12
The conditions are outlined in the piecewise function above with x indicating the number of years employed.
Answer:
The solution to the equation is 40
This indicates the max number of wedding invitations they can afford to send within their budget.
Step-by-step explanation:
To find the zero of the function, we set the dependent variable (here, m) to zero.
So we have;
0 = 50-1.25w
1.25w = 50
w = 50/1.25
w = 40
What implication does this have in this context?
Essentially, it means that the couple can send out invitations to a total of 40 people based on their budget.
Y = 6
Here’s a step-by-step explanation:
On the initial day of ticket sales, the school sold 3 adult tickets and 8 student tickets for a total of $72.
On the following day, the school collected $152 from 7 adult tickets and 16 student tickets.
What is the price of a student ticket?
Day 1: 3x + 8y = 72
Day 2: 7x + 16y = 152
This leads to a system of equations.
By manipulating these equations, we find:
Ultimately, y = 6.
If you wish to continue from this point, substituting y into the equation will give the value for x.
36 divided by 6
which results in 6
then multiply 6 x 5
which gives 30
your final answer is: 30
*HOPE I HELPED!*
