The measure of the arc is given as π/2. See the explanation below.
<h3>What is an arc?</h3>
An "arc" is a curve that connects two points in mathematics.
It can also be depicted as a section of a circle. It is essentially a portion of a circle's circumference. An arc is a kind of curve.
<h3>What is the calculation for the above solution?</h3>
Note that the viewing angle is 45°.
Thus, the center angle is:
45 X 2 = 90°
Measure of the arc therefore is:
= (π/180°) x 90
= π/2
Learn more about arcs at:
brainly.com/question/2005046
#SPJ1
Answer:
my answer would be that
x = 17.91cm
(i'm not sure about it either but it's worth a try) !!
Step-by-step explanation:
so first off, using the equation given,
" c² = a² + b² — 2ab cos C "
we substitute the values in as,
a = 16
b = 30
then for C is the angle given, which is 30°
so the equation is now,
c² = (16)² + (30)² — 2(16)(30) cos 30°
now, you solve the two squared numbers and the back equation, also known as " 2ab cos C " with your scientific calculator.
so it now equals to,
c² = 256 + 900 — 960(0.87)
c² = 320.8
at last, when you have " c² = 320.8 " ,
remember to square root the answer so you have a smaller value.
so,
c equals to
your final answer for the x value will be 17.91
(i hope this helps!)
Answer:
Step-by-step explanation:
cos (2α)*sin (α-β)-cos(β-α)*sin(2α)
cos (β-α)=cos {-(α-β)}=cos (α-β)
[cos (-x)=cos x]
sin(α-β)*cos (2α)-cos (α-β)*sin (2α)=sin (α-β-2α)=sin (-α-β)
=sin {-(α+β)}
=-sin (α+β)
