Answer:
30.7 km
Step-by-step explanation:
The distance between the two fires can be found using the Law of Cosines. For ΔABC in which sides 'a' and 'b' are given, along with angle C, the third side is ...
c = √(a² +b² -2ab·cos(C))
The angle measured between the two fires is ...
180° -(69° -35°) = 146°
and the distance is ...
c = √(11² +21² -2(11)(21)cos(146°)) ≈ √945.015
c ≈ 30.74
The straight-line distance between the two fires is about 30.7 km.
Given that Janice monthly salary is $2,396. And she has deductions of federal income tax withheld at the rate 15%, social security tax at the rate of 6.2% and medicare tax at the rate of 1.45% and health insurance premium worth 95$ per month.
Let us calculate total deductions.
Federal income tax = 15% of 2396 = 0.15*2396 =$359.4
Social security tax = 6.2% of 2396=0.062*2396 =$148.552
Medicare tax = 1.45% of 2396= 0.0145*2396=$34.742
<u>health insurance premium =$95 </u>
Total deductions = $637.694
To calculate Janice net pay we have to subtract deductions from monthly salary that is 2396-637.694 = $1758.306
Hence net pay of Janice is $1758.306 per month.
<h3>
Answer: n+15</h3>
=======================================================
Explanation:
- n = number of minutes
- cost of company X = 3n+30
- cost of company Y = 2n+15
To find out how much more company X charges, we subtract the two cost expressions
CompanyX - CompanyY = (3n+30)-(2n+15) = 3n+30-2n-15 = n+15 which is the final answer.
--------------
An example:
Let's say you talk on the phone for n = 20 minutes.
Company X would charge you 3n+30 = 3*20+30 = 90 cents
Company Y would charge you 2n+15 = 2*20+15 = 55 cents
The difference of which is 90-55 = 35 cents.
If you plugged n = 20 into the n+15 expression we got, then n+15 = 20+15 = 35 matches up with the previous 35 cents.
This example helps confirm the answer. I'll let you try out other examples.
Answer:
25 + 25=50 Divided by 5 =10
Step-by-step explanation:
25 + 25
=50
50 DIVIDED BY 5
=10
Step-by-step explanation:
I think that X2 should be x squared