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.
since the lengths of all those four sides are in a 3:2:6:7 ratio, and the whole perimeter is 126, what we do is, simply divide the whole by (3+2+6+7) and distribute accordingly.
Answer:
Your welcome
Step-by-step explanation:
$8160 the hours would be 480
$680 the hours would be 40
$35,360 the hours would be 2,080
$36,720 the hours would be 2,160
Answer:
Option A. 14.13 cu. in
The volume of the water balloon is 14.13 in³
Step-by-step explanation:
First we calculate the radius
r = 3in / 2
To calculate the volume of a sphere we have to use the following formula:
V = volume
r = radius = 1.5in
π = 3.14
V = ⁴⁄₃πr³
we replace with the known values
V = ⁴⁄₃ * 3.14 * (1.5in)³
V = 4.187 * 3.375 in³
V = 14.13 in³
The volume of the water balloon is 14.13 in³
