Answer:
x=4
Step-by-step explanation:
Consider ΔKLJ:
sinθ=opposite/hypotenuse
sin30=LJ/8√2
LJ=0.5*8√2=4√2
Consider ΔMLJ:
sinθ=opp/hyp
sin45=x/4√2
1/√2=x/4√2
4√2/√2=x
x=4
Answer:
64
Step-by-step explanation:
If the mean is 15, the sum of 5 numbers is:
Minimum value for the first four numbers would be:
Then the fifth number is:
- 75 - (1+2+3+4) = 75 - 10 = 65
So the maximum difference is:
Answer/Step-by-step explanation:
Reference angle = θ
Opposite side = 11.9
Adjacent side = 10
Applying the trigonometric ratio, TOA, we have:
Tan θ = opp/adj
Tan θ = 11.9/10
θ = tan^{-1}(11.9/10)
θ = 49.9584509° ≈ 50.0° (to one d.p)
Apply pythagorean theorem to find AB:
Thus:
AB = √(11.9² + 10²)
AB = √241.61
AB ≈ 15.5 (to 1 d.p)
