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.
Answer:
Step-by-step explanation:
Hello There!
First thing we want to do is find the formula for circumference of a circle
C = 2(3.14)r
where r = radius
we are given the diameter so we have to convert that into radius to do so we just divide by 2
42/2=21 so the radius equals 21 inches
now we just plug in 21 for r in the formula
So we can conclude that the circumference of the circle is 131.88 inches
Answer:
Step-by-step explanation:
Let the number of computers sold by Joe be represented by variable X
If Jonathan sold 5 times as many computers , it means he sold 5 times X= 5X
Total number of computers sold by both Jonathan and Joe = 78
Hence, X+5X =78
= 6X = 78
Divide both sides by 6 to solve for X;
X = 78/6
X = 13
And 5X = (5* 13) = 65
Therefore, Jonathan sold 65 computers while Joe sold 13
Answer:
x = -2
Step-by-step explanation:
1) add 2 to both sides to eliminate -2.
5x = -10
2) divide both sides by 5.
x = -2
