Answer:
Step-by-step explanation:
<em>The complete question is </em>
What is the length of line segment RS? Use the law of sines to find the answer. Round to the nearest tenth.
see the attached figure to better understand the problem
step 1
Find the measure of angle S
Applying the law of sines
substitute the given values
Solve for sin(S)
![S=sin^{-1}[sin(80^o)}{3.1}(2.4)]](https://tex.z-dn.net/?f=S%3Dsin%5E%7B-1%7D%5Bsin%2880%5Eo%29%7D%7B3.1%7D%282.4%29%5D)
step 2
Find the measure of angle Q
Remember that the sum of the interior angles in any triangle mut b equal to 180 degrees
so
substitute the given values
step 3
Find the length of segment RS
Applying the law of sines
substitute the given values
Answer:
No, because he has a sum of 0.
Step-by-step explanation:
3+11-5-8-2+1
=14-5-8-2+1
=9-8-2+1
=1-2+1
=-1+1
=0
Answer:
Step-by-step explanation:
We want to expand:
We expand to get:
We expand using the distributive property to get:
Finally simplify to get:
So to convert from leiters per minute to milileters per second
lieters=L
milileters=ml
minute=M
second=S
L/M=liters pre minute
ml/s=milileters per second
so to convert, just conver them seperately first
L=1000ml
M=60S
therefor
conversion factor for M to S=
M times 60S/1M=minutes
conversion factor from L to ml=
L times 1000ml/L
so basically to convert, just multiply the equations gotether
L/M times 1000ml/L times M/60s (we flipped the M to S equation since M is on the bottom) =L/M times 1000/60=L/M times 100/6=L/M times 50/3
if you have 50 liters per minute than
50/1 times 50/3=2500/3=833.33333 ml per second
Answer:
The system is:
Step-by-step explanation:
The variables of your equations are:
The constraints, which become inequalities are:
<em><u>1. The total cost cannot be greater than 1,000 gold</u></em>
- Cost of training m number of marines at 50 gold a piece:
- Cost of purchasing u number of research weapon upgrades at 200 gold per upgrade:
- The cost is limited to 1,000 gold that you are given:
That is the first inequality of your system
<em><u>2. The game allows a maximum of three upgrades:</u></em>
- This sets an upper bound for the variable:
- Add the reasonable constraint that the number of upgrades cannot no be negative:
<em><u>3. You know that you need at least ten marines trained to survive </u></em>
- This sets a lower bound for the variable:
And those are all the four inequalities that form your <em>system to describe the number of marines and the number of upgrades you can train/purchae in the game:</em>
