Answer:
in degrees: theta = 63.43°
in radians: theta = 1.11 rad
Step-by-step explanation:
To find the value of the angle theta that gives us tan(theta) = 2, we should use the inverse function of the tangent in the calculator, that is, the arc tangent function.
Then, if we use the arc tangent function (in some calculators, it may be shown as 'atan' or 'tan^-1') in the value 2, we would find:
atan(2) = 63.435°
So the angle theta that gives us tan(theta) = 2 is theta = 63.43°.
Be sure to check in the calculator if the answer is given in degrees or radians.
In radians, we would find theta = 1.1071 rad (rounded to nearest hundredth: theta = 1.11 rad)
Y = mx + b
7x + 8y = -12
Subtract 7x from both sides
8y = -7x - 12
Divide each side by 8
y = -7/8x - 12/8
Simplify
y = -7/8x - 3/2
So besides simplifying, if I’m doing this correctly, it should be correct.
Answer:
Tiles won't be enough
Step-by-step explanation:
The perimeter of the area :
2(length + Width)
Given dimension = 6.4 by 2.7 feets
Perimeter = 2(6.4 + 2.7) = 18.2 feets
1 feet = 12 inches
Perimeter = 18.2 * 12 = 218.4 inches
1 tile = 6 inches
30 tiles = 6* 30 = 180 inches
Since the perimeter of the area is greater Than the 180, then we can conclude that the tiles won't be enough
True the circle is a congruent to the radius of an inscribed regular polygon inside the circle