Answer:
See below.
Step-by-step explanation:
The law of sines is usually written as a / sin A = b / sin b == c / sin C where a is the side opposite angle A ,etc.
The first equation is true because it is obtained by cross multiplying
a / sin A = b / sin B, therefore b sin A = a sin B.
The second one is not true.
The third and fourth are both true.
Answer:
- Hexagon
- Heptagon
Step-by-step explanation:
The first shape has 6 sides. Hence, it is called a hexagon.
The second shape has 7 sides. Hence, it is called a heptagon.
Answer:
a) The coordinates of the missing vertex = (7, 8)
b) Area = 18 square units
Perimeter = 18 units
Step-by-step explanation:
a) We know three of the four vertices:
A: (4, 2) C ______ D(?)
B: (7, 2) | |
C: (4, 8) A |______| B
To find the coordinates of the missing vertex we need to calculate the distance in the x-direction from point A to point B:
Hence, the distance of point D from point C in the x-direction is:
Now, to find the coordinate in "y" we need to calculate the distance in the y-direction between point C and point A:
Then, the distance of point D from point B in the y-direction is:
![D_{y} = B_{y} + 6 = 2 + 6 = 8](https://tex.z-dn.net/?f=%20D_%7By%7D%20%3D%20B_%7By%7D%20%2B%206%20%3D%202%20%2B%206%20%3D%208%20)
Therefore, the coordinates of the missing vertex (point D) are:
b) The area of the rectangle is:
![a = (B_{x} - A_{x})*(C_{y} - A_{y}) = 3*6 = 18 units^{2}](https://tex.z-dn.net/?f=%20a%20%3D%20%28B_%7Bx%7D%20-%20A_%7Bx%7D%29%2A%28C_%7By%7D%20-%20A_%7By%7D%29%20%3D%203%2A6%20%3D%2018%20units%5E%7B2%7D%20)
The perimeter is given by:
![p = 2*(3 + 6) = 18 units](https://tex.z-dn.net/?f=%20p%20%3D%202%2A%283%20%2B%206%29%20%3D%2018%20units%20)
I hope it helps you!
If the 1/3 candy is shared into three equal parts. Then the fraction of the candy bar will each kid get will be 1/9.
<h3>What is division?</h3>
Division means the separation of something into different parts, sharing of something among different people, places, etc.
Alex has 1/3 of a candy bar.
He wants to share what he has left of his candy bar with his 2 friends so that all three of them get equal portions.
Then the fraction of the candy bar will each kid get will be
![\rightarrow \dfrac{1/3}{3}\\\\\rightarrow \dfrac{1}{3\times3}\\\\\rightarrow \dfrac{1}{9}](https://tex.z-dn.net/?f=%5Crightarrow%20%5Cdfrac%7B1%2F3%7D%7B3%7D%5C%5C%5C%5C%5Crightarrow%20%20%5Cdfrac%7B1%7D%7B3%5Ctimes3%7D%5C%5C%5C%5C%5Crightarrow%20%20%5Cdfrac%7B1%7D%7B9%7D)
More about the division link is given below.
brainly.com/question/369266
#SPJ1
You do --12/15---you see that this can be simplified by the same factor 3-- si you divide by 3 on both numbers thus you get---4/5 as the answer