57,575, 72,369, 72,752, 75,321
6,074,232, 6,234,921, 6,243,219
Answer:
Yes
Step-by-step explanation:
The law of cosines relates the three sides of a triangle with the cosine of the angle opposite one of them. It is useful for finding an angle of the triangle when only the side lengths are given, as here.
Answer:
length is 7cm, and the width is 4cm
Step-by-step explanation:
The length of a picture frame is 1cm less than twice the width(frame is NOT a square). The area is 28cm^2. Find the length and width of the picture frame.
The area of the frame = Length * Width
A = LW
If the length of a picture frame is 1cm less than twice the width, then;
L = 2W - 1
Substitute into the formula;
A = (2W-1)W
A = 2W^2 - W
28 = 2W^2 - W
2W^2 - W - 28 = 0
2W^2 - 8W +7W- 28 = 0
2W(W-4)+7(W-4) = 0
2W+7 = 0 and W - 4 = 0
W =- -7/2 and W = 4
Width cannot be negative
W = 4cm
Since A = LW
L = A/W
L = 28/4
L = 7cm
Hence the length is 7cm, and the width is 4cm