9514 1404 393
Answer:
(c) 14.5 cm
Step-by-step explanation:
The relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(65°) = BC/BA
BC = BA·sin(65°) ≈ (16 cm)·0.9063 ≈ 14.501 cm
BC ≈ 14.5 cm
_____
<em>Additional comment</em>
As is often the case, a simple estimate is all that is needed to identify the correct answer choice.
You only need to know how the long side of a right triangle compares to the others. In an isosceles right triangle, both legs are √2/2 ≈ 0.71 times the hypotenuse. The long side of a right triangle will never be shorter than that. This means the long side must be greater than about 11.2, and cannot be greater than 16. There is only one answer choice in that range.
Answer:
It will take 7 weeks for Michael to reach his goal.
Step-by-step explanation:
600=50(1.5)^x
12=1.5^x
x≈6.13
1. 16
2. 41
3. 367
4. -2
5. 76
6. 58
7. 30
8. 11.25
9. 8
10. 657
11. 492
12. 357
Answer:Let's solve your equation step-by-step.
24=x2−4x+3
Step 1: Subtract x^2-4x+3 from both sides.
24−(x2−4x+3)=x2−4x+3−(x2−4x+3)
−x2+4x+21=0
Step 2: Factor left side of equation.
(−x−3)(x−7)=0
Step 3: Set factors equal to 0.
−x−3=0 or x−7=0
x=−3 or x=7
Answer:
x=−3 or x=7
Step-by-step explanation:
