Base on the question that ask to calculate the sine, cosine, and tangent of 5pi/3 radians and base on my further calculation, I would say that the answer would be <span>sin Θ = -sqrt 3/2; cos Θ = -1/2; tan Θ = -sqrt 3. I hope you are satisfied with my answer and feel free to ask for more if you have question and further clarification </span>
Answer:
First angle: 60°
Second angle: 30°
Step-by-step explanation:
Let the two angles be signified by the variables x & y.
Let the first angle = x, and the second angle = y.
It is given that:
"The measure[ments] of the complementary angles...": x + y = 90°
"The measure of the first angle is 30 greater than the measure of the second angle": x = y + 30°
Use the system of equations. Plug in y + 30 for x in the first equation:
(y + 30) + y = 90
Combine like terms:
(y + y) + 30 = 90
2y + 30 = 90
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, subtract 30 from both sides of the equation:
2y + 30 (-30) = 90 (-30)
2y = 90 - 30
2y = 60
Next, divide 2 from both sides of the equation:
(2y)/2 = (60)/2
y = 60/2
y = 30°
Plug in 30 for y in one of the equations:
x = y + 30
x = (30) + 30
x = 60°
Your answers:
First angle: 60°
Second angle: 30°
Subtract 12 seconds from 11.7 seconds
The Answer is .3
Answer:
c. 56 in.
Step-by-step explanation:
use pythagorean theorem (
) where a, b, and c are the lengths of the side of a right triangle. c is the length of the longest side across from the right angle of the triangle (the diagonal). To find the length of the TV a=
. Now that you have the length you simply must add the length of each side of the TV. Perimeter = sum of the lengths of every side. TV has 4 sides length is 16 and width is 12. So, 16 + 16 + 12 + 12 = 56 in
