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:
C≈125.66
Step-by-step explanation:
Answer:
76.7
Step-by-step explanation:
11.3(3) + 10.7(4) = __ + 42.8
Multiply values
33.9 + 42.8 = __ + 42.8
The missing value is 33.9!
42.8 + 33.9 = 76.7
Answer:
(-5,29)
(2,1)
(4,-7)
Step-by-step explanation:
y = -4x + 9
When x is -5;
y = -4(-5) + 9 = 29
When x is 2;
y = -4(2) + 9 = 1
When x is 4;
y = -4(4) + 9 = -7
9514 1404 393
Answer:
511
Step-by-step explanation:
Each tube can be included in the mix, or not. There are 2^9 = 512 possible subsets of a set of 9 objects, including the complete set and the empty set. The empty set will not make a color, so there are ...
2^9 - 1 = 511 distinct color groupings that can be made
__
The assumption in the above answer is that no tube color can be made by any combination of other tube colors.* We also assume that the choice of tubes is what makes a "color grouping", and that the colors within that grouping made by using different ratios of paint quantities are not counted separately.