Actually, when you know 2 sides and an included angle, you use the Law of Cosines. (and we don't know if theta is an included angle).
Solving for side c
c^2 = a^2 + b^2 -2ab * cos(C)
c^2 = 36 + 16 - 2*6*4 * cos(60)
c^2 = 52 -48*.5
c^2 = 28
c = 5.2915
Using the Law of Sines
side c / sin(C) = side b / sin (B)
5.2915 / sin(60) = 4 / sin (B)
sin(B) = sin(60) * 4 / 5.2915
sin(B) = 0.86603 * 4 / 5.2915
<span><span>sin(B) = 3.46412
</span>
/ 5.2915
</span>
<span><span><span>sin(B) = 0.6546571451
</span>
</span>
</span>
Angle B = 40.894 Degrees
sin (A) / side a = sin (B) / side b
sin (A) = 6 * sin (40.894) / 4
sin (A) = 6 * 0.65466 / 4
sin (A) = .98199
angle A = 79.109 Degrees
angle C = 60 Degrees
Answer:
2×sqrt(6)×w⁷
Step-by-step explanation:
what I can read here, you need to simplify
sqrt(24×w¹⁴)
= sqrt(24)×sqrt(w¹⁴) = sqrt(4×6)×sqrt(w¹⁴) =
= 2×sqrt(6)×sqrt(w¹⁴)
and taking the square root of something with exponent simply means dividing that exponent by 2
so,
2×sqrt(6)×w⁷
Answer:
Length is 14
Width is 6
Step-by-step explanation:
Length = 2W + 2
Width = W
Perimeter is twice the length + twice the width
P = 40 = 2(2W+2) + 2W first simplify
40 = 4W + 4 + 2W now combine terms
40 = 6W + 4 and subtract 4 from both sides
36 = 6W
Width W = 6
Length = 2W + 2 = 12 + 2 = 14
Answer:
(A:) I created a scatter plot similar to the one i used for mine, this is for the first part of your question
(B:) Positive Association
Step-by-step explanation:
(B:) Why? Because as your x value increases so does your y and it shows this with the data as well.
I had a tough time with this until i actually read through what it was really asking so i hope this helps you
