Answer:
AB= 0.625 units (3 s.f.)
∠BAC= 52.9° (1 d.p.)
∠ABC= 32.1° (1 d.p.)
Step-by-step explanation:
Please see the attached pictures for full solution.
- Find AB using cosine rule
- find ∠BAC using sine rule
- find ∠ABC using angle sum of triangle property
Answer:
the answer is b
Step-by-step explanation:
if u divide .14 by .2
its gonna give u .8
2 times 8 is 16 but there are two decimals so its .16
hope this helps
Answer: B) Infinitely many solutions; both equations are equivalent
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Work Shown:
x+y = 4 ... start with the first equation
x + (-x+4) = 4 ... replace y with (-x+4)
x-x+4 = 4
0x+4 = 4
0+4 = 4
4 = 4 ... this is a true statement regardless of what x you pick
So there are infinitely many solutions. Each solution (x,y) is of the form (x,-x+4). All solutions fall on the line y = -x+4 which is equivalent to x+y = 4. Note how we add x to both sides.
Or you could start with x+y = 4 and subtract x from both sides to get y = -x+4. Either way, we're dealing with the same equation which is why they both graph out the same line.
Ken earns 54 dollars at his part-time job on Friday
Given that Total amount earned by ken and his wife at their part-time job on Friday= $174
Money earned by ken= x dollars
Money earned by ken's wife = (2x+12) dollars
Total amount earned by ken and his wife at their part-time job on Friday= x dollars + (2x+12) dollars
(x + 2x + 12 ) dollars = $ 174 ( addition of ken and ken's wife income and total amount earned by ken and his wife at their part-time job on Friday is $174)
(3x + 12 ) dollars = $ 174
3x=$162
x=
x= 54 dollars
Therefore,54 dollars were earned by ken at his part-time job on Friday
Hence,Ken earns 54 dollars at his part-time job on Friday
Learn more about dollars here:
brainly.com/question/14982791
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Answer: Option 'c' is correct.
Step-by-step explanation:
Since we have given that
the optimized solution of a linear program to an integer as it does not affect the value of the objective function.
As if we round the optimized solution to the nearest integer, it does not change the objective function .
while it is not true that it always produces the most optimal integer solution or feasible solution.
Hence, Option 'c' is correct.
