Answer:
hmmmm i saw something about 13?????
Step-by-step explanation:
Answer:
Exterior Angle = 36 degrees
Step-by-step explanation:
<u><em>Each interior angle of a regular decagon measures 144 degrees.</em></u>
=> <u><em>We'll subtract 144 from 180 to get the measure of the exterior angle.</em></u>
=> Exterior Angle = 180-144
=> Exterior Angle = 36 degrees
Answer:
The unknown sides are 60.81cm and 51.57cm while the unknown angle is 58degrees
Step-by-step explanation:
4a) Given the following
Opposite side = 38cm (side facing the given angle)
Required
Adjacent and hypotenuse side
According to SOH CAH TOA

Next is to get the adjacent

Next is to get the missing
Since sum of angle in the triangle is 180degrees
32 + 90 + x = 180
122 + x = 180
x = 180 - 122
x = 58degrees
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
Answer:
a=-7.68
Step-by-step explanation:
3a+13.61=-9.43
-13.61
_____________
-23.04
3a=-23.04
-23.04/3= -7.68