Answer:
4k - 8
Step-by-step explanation:
Lucy is k years old so we know k is an important part of this problem.
Sister 1 is 3 years younger, so she is k - 3 years old.
Sister 2 is 5 years less than twice Lucy's age therefore, she is 2k (twice Lucy's age) - 5 years old.
Now we have: k + (k - 3) + (2k - 5)
We can simplify like terms with the k's and get 4k. then we add (-3) and (-5) to get 4k - 8.
Hope this helps!
The triangle: α = 40°, β = 35°, and a = 10. is b = 8.9, γ = 105°, c = 15.0
<h3 /><h3>What is Sine Law?</h3>
If A, B, and C are the measurements of the angles of an oblique triangle, and a, b, and c are the lengths of the sides opposite of the corresponding angles, then the ratios of the a side’s length to the sine of the angle opposite the side must all be the same.
a/ sin A = b/ sin B = c/ sin C
Using Angle sum property in a triangle we have,
α+β+ γ = 180
40+35+ γ=180
γ= 180-75
γ= 105°
Now,
c/ sin γ= a/ sin α
c/ sin 105= 10/ sin 40
c/ 0.96592 = 10 /0.6427
c = 15
again,
b/ sin β= a/ sin α
b/ sin 35= 10/ sin 40
b/0.5737= 15.559
b= 8.92
Learn more about sine law here:
brainly.com/question/17289163
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Answer:
83 students
Step-by-step explanation:
You divide 1,245 and 15 which will give you 83.