Pi divided by 2 is <span>1.57079632679 so anything bigger than 0 and less than that number should be between.</span>
Answer:
Pythagorean theorem: a^2 + b^2 = c^2
1. we have to find a. b is 12 and c is 15 because the right angle is pointing towards 15 so that is the hypotenuse. then we simply plug the info in the equation we have above.
a^2 + 12^2 = 15^2
a^2 + 144 = 225
a^2 = 81 --> sqaure root to find the answer basically.
a = 9
- we put AD as a so AD = 9
final answer : 9
2. to find AC, simply add AD and DC.
9 + 16 = 25
final answer: AC = 25
3. ABC is not a right triangle because it does not have a right angle. the smaller triangles do, but that does not mean that ABC is a right triangle.
-- let me know if you need any further explanations.
Answer:
58.1 degrees
Step-by-step explanation:
Given the following
JK = 9.4miles (towards south) negative y axis
If the move 15.1 miles towards east (that will be towards the positive x axis)
Using the SOH CAH TOA identity
opposite= 15.1 miles(side facing m<J)
adjacent= JK = 9.4miles
tan theta = opposite/adjacent
tan m<J = 15.1/9.4
tan m<J = 1.6063
m<J = arctan (1.6063)
m<J = 58.09 degrees
Hence the measure of m<J to the nearest tenth is 58.1 degrees
Cos(2x) = cos^2(x) - sin^2(x) - cos(x)
but sin^2(x) = 1 - cos^2(x)
cos(2x) - cos(x) = cos^2(x) - (1 - cos^2(x) ) - cos(x)
cos(2x) - cos(x) = cos^2(x) - 1 + cos^2(x) - cos(x)
cos(2x) - cos(x) = 2cos^2(x) - 1 - cos(x)
cos(2x) - cos(x) = (2cos(x) + 1)(cos(x) - 1)
I think this is what you have asked for.
