Answer:
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180 so the third angle in the first triangle is 180 - 60 - 40 = 80
The value of x is 40 because given triangles are have two pair of angles that are equal.
Answer:
check on photomath you will find all the answers
<h3>I'll teach you how to solve 8*(8+4-10)</h3>
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8*(8+4-10)
Follow the PEMDAS order of operations:
Calculate with parentheses (8+4-10) = 2
8*2
Multiply and divide (left to right):
8*2=16
Your Answer Is A.16
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Answer:
G- 1/5
Step-by-step explanation:
When doing probability questions, you want to take the amount of what you are looking for and put it over the total. In this case, the total amount of t-shirts would be 15. If we are looking for the sports t-shirts, the fraction would be 3/15, which then simplifies down to 1/5.
Hope this helps! :)
Answer: f(120°) = (√3) + 1/2
Step-by-step explanation:
i will solve it with notable relations, because using a calculator is cutting steps.
f(120°) = 2*sin(120°) + cos(120°)
=2*sin(90° + 30°) + cos(90° + 30°)
here we can use the relations
cos(a + b) = cos(a)*cos(b) - sin(a)*sin(b)
sin(a + b) = cos(a)*sin(b) + cos(b)*sin(a)
then we have
f(120°) = 2*( cos(90°)*sin(30°) + cos(30°)*sin(90°)) + cos(90°)*cos(30°) - sin(90°)*sin(30°)
and
cos(90°) = 0
sin(90°) = 1
cos(30°) = (√3)/2
sin(30°) = 1/2
We replace those values in the equation and get:
f(120°) = 2*( 0 + (√3)/2) + 0 + 1/2 = (√3) + 1/2
