C is false because 30 is both divisible by 5 (30/5=6) and 10 (30/10=3) and is also divisible by 6 since 6*5 is 30
the number of boys there is 135!
hope this helps!!
Area = length x width
180 = L x 15
L = 180/15
Length = 12 feet
Answer:
![X=85.123m](https://tex.z-dn.net/?f=X%3D85.123m)
![Y=184.88m](https://tex.z-dn.net/?f=Y%3D184.88m)
Step-by-step explanation:
From the question we are told that:
Campfire Bearing from Colonel![x=N 71 \textdegree E](https://tex.z-dn.net/?f=x%3DN%2071%20%5Ctextdegree%20E)
Distance b/w Colonel and Sarge ![Z=235feet](https://tex.z-dn.net/?f=Z%3D235feet)
Campfire Bearing from Sarge
Generally the angles x' and y' are solved
![x'=90 \textdegree-71 \textdegree](https://tex.z-dn.net/?f=x%27%3D90%20%5Ctextdegree-71%20%5Ctextdegree)
![x'=19 \textdegree](https://tex.z-dn.net/?f=x%27%3D19%20%5Ctextdegree)
![y'=90 \textdegree-45 \textdegree](https://tex.z-dn.net/?f=y%27%3D90%20%5Ctextdegree-45%20%5Ctextdegree)
![y'=45 \textdegree](https://tex.z-dn.net/?f=y%27%3D45%20%5Ctextdegree)
Generally the angle z' is solved
Sum of angles of a triangle is 180
Therefore
![z'=180 \textdegree-(19+45) \textdegree](https://tex.z-dn.net/?f=z%27%3D180%20%5Ctextdegree-%2819%2B45%29%20%5Ctextdegree)
![z'=116 \textdegree](https://tex.z-dn.net/?f=z%27%3D116%20%5Ctextdegree)
Generally the sine rule equation for for all distances is mathematically given by
![\frac{Z}{sinz'}=\frac{X}{sinx'}=\frac{Y}{siny}](https://tex.z-dn.net/?f=%5Cfrac%7BZ%7D%7Bsinz%27%7D%3D%5Cfrac%7BX%7D%7Bsinx%27%7D%3D%5Cfrac%7BY%7D%7Bsiny%7D)
Generally the the distance b/w the Colonel and the campfire X is mathematically given as
![\frac{235}{sin116}=\frac{X}{sinx'}](https://tex.z-dn.net/?f=%5Cfrac%7B235%7D%7Bsin116%7D%3D%5Cfrac%7BX%7D%7Bsinx%27%7D)
![\frac{235}{sin116}=\frac{X}{sin19}](https://tex.z-dn.net/?f=%5Cfrac%7B235%7D%7Bsin116%7D%3D%5Cfrac%7BX%7D%7Bsin19%7D)
![X=85.123m](https://tex.z-dn.net/?f=X%3D85.123m)
Generally the the distance b/w Sarge and the campfire X is mathematically given as
![\frac{235}{sin116}=\frac{Y}{siny}](https://tex.z-dn.net/?f=%5Cfrac%7B235%7D%7Bsin116%7D%3D%5Cfrac%7BY%7D%7Bsiny%7D)
![\frac{235}{sin116}=\frac{Y}{sin45}](https://tex.z-dn.net/?f=%5Cfrac%7B235%7D%7Bsin116%7D%3D%5Cfrac%7BY%7D%7Bsin45%7D)
![Y=184.88m](https://tex.z-dn.net/?f=Y%3D184.88m)
A coordinate plane is simply a 2D surface formed by the intersection of two number lines
The points are given as:
and ![(-4\frac 12, -1)](https://tex.z-dn.net/?f=%28-4%5Cfrac%2012%2C%20-1%29)
In the above points,
is located in the first quadrant, while
is located in the third quadrant.
The above means that, the coordinate plane that contains both points must extend from the first quadrant to the third, or vice versa
See attachment for the coordinate plane, and the points
Read more about coordinate plane at:
brainly.com/question/7219850