Answer:
6/1
Step-by-step explanation:
Answer: 8
Step-by-step explanation: if you count the angels and the sides then you'll get the answer 8..
Answers:
x = 24
y = 8√3
Explanation:
1) Since, the given triangle is a right triangle, and you have both an angle and the hypotenuse length, you can use some trigonometric ratios to find the variables.
2) The variables given represent:
x: adjacent-leg to angle 30°
y: opposite length to angle 30°
3) sine ratio:
sin 30° = opposite-leg / hypotenuse = y / (16√3)
⇒ y = 16√3 sin 30° = 16√3 × (1/2) = 8√3
4) cosine ratio
cos 30° = adjacent-leg / hypotenuse = x / (16√3)
⇒ x = 16√3 cos 30° = 16√3 (√3 / 2) = 16 × 3 / 2 = 24
Answer:
5000
Step-by-step explanation:
In vertex form, the cost function is ...
C(x) = 3(x² -10x) +175 = 3(x² -10x +25) +175 -3(25)
C(x) = 3(x -5)² +100
The vertex is at x=5, so the cost function will be minimized when 5000 speed boats are produced.
The area of the circle is
... A = (π/4)d² . . . . where d=10 in
The area of the square is
... A = d² . . . . . . . . where d=10 in
The amount of the square that is not in the circle is
... (1 -π/4)d² = 0.2146018d² ≈ 21.5 in² . . . for d=10 in
