9514 1404 393
Answer:
Step-by-step explanation:
The tangent of the angle can be found using the identity for the tangent of the difference of angles.
tan(α-β) = (tan(α) -tan(β))/(1 +tan(α)tan(β))
The tangent of the angle of each vector is the ratio of the j coefficient to the i coefficient.
tan(α) = -2/3
tan(β) = 4/7
tan(α-β) = (-2/3 -4/7)/(1 +(-2/3)(4/7))
= (-14-12)/(21 -8) = -26/13 = -2
Then the magnitude of the angle between the vectors is ...
arctan(2) ≈ 63.43°
Answer:
Yes
Step-by-step explanation:
I have had this question before.
Answer:
x = 12.85
Step-by-step explanation:
<u>Step 1: Solve for x by adding 7.57 to both sides</u>
x - 7.57 + 7.57 = 5.28 + 7.57
x = 12.85
Answer: x = 12.85
Answer:
Larger shaded area = 48pi m^2 and
the small circle has area 4pi m^2.
If you require the as decimal values they are
150.80 m^2 and 12.57 m^2 to the nearest hundredth.
Step-by-step explanation:
The area of the whole circle = pi r^2 = pi 8^2 = 64pi.
The area of the middle sized circle = pi 4*2 = 16pi.
So the area of the larger shaded region
= 64pi - 16pi = 48pi m^2.
The area of the small circle = pi r^2 = 2^2 pi = 4pi m^2.
Answer:
21
Step-by-step explanation:
12 + 9 = 21
that is the distance he ran so that is the distance he will run back
( i hope that helped)
