Answer:
sin(A-B) = 24/25
Step-by-step explanation:
The trig identity for the differnce of angles tells you ...
sin(A -B) = sin(A)cos(B) -sin(B)cos(A)
We are given that sin(A) = 4/5 in quadrant II, so cos(A) = -√(1-(4/5)^2) = -3/5.
And we are given that cos(B) = 3/5 in quadrant I, so sin(B) = 4/5.
Then ...
sin(A-B) = (4/5)(3/5) -(4/5)(-3/5) = 12/25 + 12/25 = 24/25
The desired sine is 24/25.
I can help you with #20. For example, lets say 3/5, this fraction would be made up of 5 parts and 3 are covered, which doesn't make it full, if it was 5/5 it would be full. When you do something with a reciprocal you turn it over, so 3/5 would be turned over to 5/3, thus making it a whole number
Answer:
24
Step-by-step explanation:
Ok so first multiply .36 (decimal notation ) by 75.
You will get 27. That is it.
There are 25 tiles total - triangles or squares - 84 edges
triangle (<em>t</em>) = 3 sides
square (<em>s</em>) = 4 sides
<em>t</em>+<em>s</em>= total tiles
<em><u>t</u></em><u>+</u><em><u>s</u></em><u> = 25 </u>← solve
3<em>t</em> + 4<em>s</em> = total sides
<u>3</u><em><u>t </u></em><u>+ 4</u><em><u>s</u></em><u> = 84</u> ← solve
<em>
</em><em>t </em>= 16 <em>s</em> = 9
Check
16 + 9 = 25
3(16) + 4(9) = 84
48 + 36 = 84
<u>There are 9 square tiles in the box</u>