Answer:
1.) ≈ 3.652
2.) I would say something about how the A in front of cos in the equation would change to 90, rather than stay 75 (in the equation for the step by step), but it would be easier to just use the Pythagorean theorem.
Step-by-step explanation:
I think we may have the same class so hopefully this helps:
1.) --> law of cosines formula.
--> plugged in numbers; when you draw the triangle, the included angle would be A, and the opposite side would be a. B and b, and C and c are opposite each other. In this case, a is the hypotenuse.
--> in between steps.
--> more simplifying.
--> answer
2.) This one is just an explanation: The 75 in the equation is the given angle, which is a. If this changes, it would just change in the equation too. And obviously, if it's 90 degrees, you can just use Pythagorean theorem a^2+b^2=c^2.
Good luck! :)
Answer:
Ratio is 1:4 or 1 dog for 4 cat
Step-by-step explanation:
Data :
Dogs = 5
Cats = 20
To find ratio
20/ 5 = 4
S0
Relationship is 1:4
Answer:
- Sara worked 22 hours
- Joan worked 18 hours
- Erin worked 9 hours
- The three of them worked 49 hours in total
Explanation:
You may set a numerical equation by translating the word statements into arithmetic expressions in this way:
1) Sara worked 22 hours last week: 22
2) Joan worked 4 hours less than Sara: 22 - 4
3) Erin worked half as many hours as Joan: [22 - 4] / 2
4) How many hours did Sara, Joan, and Erin work last week? : add up every arithmetic expression:
- 22 + (22 - 4) + (22 - 4) / 2
5) Simplify doing the operations:
- 22 + (22 - 4) + (22 - 4) / 2 = 22 + 18 + 18/2 = 22 + 18 + 9 = 49
Conclusion:
- Sara worked 22 hours
- Joan worked 18 hours
- Erin worked 9 hours
- The three of them worked 49 hours in total.
Answer:
24
Step-by-step explanation: