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)
Answer:
62.5% increase
Step-by-step explanation:
First step : find the difference between two numbers, in this case, it's 1300000 - 800000 = 500000.
Second Step: Take the difference, 500000, and divide by the original number: 500000/800000 = 0.625.
Last, multiply the number above by 100: 0.625*100 = 62.5%. You're done! You calculated difference of a number in percent, and the answer is a percentage increase of 62.5%.
It's helpful to choose letters to represent the measures of these complementary angles. Let x represent one and y the other.
What does "complementary angle" mean? x + y = ??
Let x be the smaller angle. First, we take "half the measure of the larger angle," or (y/2). Then we subtract 6 degrees from this result (y/2). The result is the xmaller angle, x.
Now you have two equations in x and y. Solve for one of these angles, and then find the other. Please show your work.
2x9= 18
18×-6= -108
Your answer is 108.
Answer:
66.5m^3 closest value
Step-by-step explanation:
7*7=47 m^3 area of square
12-7=5m length of triangle side
(7*5)/2=17.5 m^3 area of triangle
area of square + area of triangle = total area
47+17.5 =64.5 m^3
