Step-by-step explanation:
the inner top vertex angle seems to be 90°, so x = 90° too. all angles around a single point in one side of a line are in total 180°.
also, remember, all angles inside a triangle always sum up to 180°.
so, the third inner angle of the triangle is
180 - 90 - 40 = 50°.
that makes z = 180 - 50 = 130°
and y = 180 - 40 = 140°.
Notice that
• <em>π</em>/2 = <em>π</em>/3 + <em>π</em>/6
• <em>π</em>/6 = <em>π</em>/3 - <em>π</em>/6
Recall the angle sum identities for sine:
sin(<em>x</em> + <em>y</em>) = sin(<em>x</em>) cos(<em>y</em>) + cos(<em>x</em>) sin(<em>y</em>)
sin(<em>x</em> - <em>y</em>) = sin(<em>x</em>) cos(<em>y</em>) - cos(<em>x</em>) sin(<em>y</em>)
By adding these together, we get
sin(<em>x</em> + <em>y</em>) + sin(<em>x</em> - <em>y</em>) = 2 sin(<em>x</em>) cos(<em>y</em>)
==> sin(<em>x</em>) cos(<em>y</em>) = 1/2 (sin(<em>x</em> + <em>y</em>) + sin(<em>x</em> - <em>y</em>))
Now take <em>x</em> = <em>π</em>/3 and <em>y</em> = <em>π</em>/6 :
sin(<em>π</em>/3) cos(<em>π</em>/6) = 1/2 (sin(<em>π</em>/2) + sin(<em>π</em>/6))
So the blank should be filled with cos.
Answer:
$69
Step-by-step explanation:
A phone sells for $245 it is now on sale for 1/5 off the original price. Find the sale price:
April has a coupon for a extra 10% off the sale price. Find how much will April pay using her discount coupon:
Therefore, April will pay
less.
C. 38,200 ft^3
Why you ask? Good question, how you solve volume is l•w•h=v (length•width•height=volume) so it was 60•45.5•14=38,200
Hope this helps!
Answer: 122
Step-by-step explanation:
