So all of the internal angles of a triangle will add up to 180 degrees. So if we add all of the expressions given and set them equal to 180, we can solve for x, then solve for each angle...
(2x + 1) + (3x - 3) + 9x = 180
2x + 3x + 9x + 1 - 3 = 180
14x - 2 = 180
14x = 182
x = 13
Now we can substitute 13 into each expression to find the value of each angle...
2x + 1 =
2(13) + 1 =
26 + 1 = 27 degrees
3x - 3 =
3(13) - 3 =
39 - 3 = 36 degrees
9x =
9(13) = 117 degrees
So the 3 angles are 27 degrees, 36 degrees, and 117 degrees.
The smallest is 27 degrees
** Note-- I don't see 27 degrees in the answer choices you gave, so I double checked my math (I didn't find any mistakes). Please check to see that the question is written correctly (pay close attention to plus and minus signs).
Answer:
125.7 square inches
Step-by-step explanation:
The surface area of a cylinder is the sum of the areas of the two circles on each end and the area encircling "rectangle". Note that the length of this "rectangle" is the height of the can, while the width is the perimeter of the circle. The full equation is:
Answer:
7.5 Miles.
Step-by-step explanation:
3 + 4.5 = 7.5 Miles.
Answer:
The answer is 17.
Step-by-step explanation:
The answer is 17 because 17-3 = 14 and 14 times 3 = 42
Part A:
The distance between two points can be calculated through the equation,
d = sqrt ((x₂ - x₁)² + (y₂ - y₁)²)
Each of the point may take the 1st or the 2nd coordinates. Substituting the known values,
d = sqrt ((23 - 2)² + (3 - 24)²)
d = 21√2
d = 29.7
Part B:
We get the angle between the lines generated from points and the origin.
Angle 1: θ = tan⁻(3/23) = 7.43°
Angle 2: θ = tan⁻(24/2) = 85.24°
Subtracting the values,
Angle = 77.8°
Thus, the polar coordinate is (29.7, 77.8°).
