Hypotenuse of the right triangle: h=sqrt(4^2+6^2)
h=sqrt(16+36)
h=sqrt(52)
h=sqrt(4*13)
h=sqrt(4) sqrt(13)
h=2 sqrt(13)
Total Area: T.A.=2*(4*6/2)+[4+6+2 sqrt(13)] (8)
T.A.=2*(12)+[10+2 sqrt(13)](8)
T.A.=24+(10)(8)+[2 sqrt(13)](8)
T.A.=24+80+16 sqrt(13)
T.A.=104+16 sqrt(13)
Answer:
( 104+16 sqrt(13) )
By applying the law of sines and some algebraic handling, the length of the side LJ is approximately equal to 3.517 units. (Right choice: D)
<h3>What is the missing side of the triangle according to the law of sines?</h3>
The law of sines presents a relationship between sides and <em>opposite</em> angles, which is described below:
9/sin 89° = LJ/sin 23° (1)
LJ = 9 × sin 23°/sin 89°
LJ ≈ 3.517
By applying the law of sines and some algebraic handling, the length of the side LJ is approximately equal to 3.517 units. (Right choice: D)
To learn more on law of sines: brainly.com/question/21634338
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Answer:
let cp be x
mp= x+ (20% 0f x)= 1.2x
sp = mp -d%of mp= 1.2- 15% *1.2 =1.02x
profit = 40
sp-cp =40
1.02x-x=40
x=2000
cp =2000
mp= 1.2*2000=2400
Step-by-step explanation:
Hope this helps!, I have to have more than 20 characters so ignore this!
Answer: 0.02x
Step-by-step explanation:
The value of the cars the salesman makes is x in this instance.
The salesman makes a 2% commission on every sale so this can be represented by multiplying 2% by the value of the cars which in this case is x.
= 2% * x
= 0.02 * x
= 0.02x
If for instance he sells $40,000 worth of cars, his commission would be:
= 0.02 * x
= 0.02 * 40,000
= $800