Let AB is representing height of man which is 1.82 m tall.
Answer:
a
Step-by-step explanation:
We know that 24 is 160% more than some recommended number, let's call it "x." This means 1.6 times the recommended number equals 24. Therefore, all we need to do is solve for x.
![1.6x=24](https://tex.z-dn.net/?f=%201.6x%3D24%20%20%20)
![x=\frac{24}{1.6}](https://tex.z-dn.net/?f=%20x%3D%5Cfrac%7B24%7D%7B1.6%7D%20)
Make sense?
Answer:
3 m^2
Step-by-step explanation:
The shaded area = Area of Sector - Area of Triangle
First we find area of sector = ![\frac{\theta}{360}*\pi r^2](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctheta%7D%7B360%7D%2A%5Cpi%20r%5E2)
<em>We know the angle is 60° (vertical angles are equal) and the radius is 6, so we find the area of sector to be:</em>
![\frac{\theta}{360}*\pi r^2\\\frac{60}{360}*\pi (6)^2\\=18.85](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctheta%7D%7B360%7D%2A%5Cpi%20r%5E2%5C%5C%5Cfrac%7B60%7D%7B360%7D%2A%5Cpi%20%286%29%5E2%5C%5C%3D18.85)
Secondly, we find area of triangle (isosceles) = ![\frac{1}{2}abSinC](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7DabSinC)
where
a and b are the two sides bordering the known angle, so a=b=6, and
C is the angle which is <em>60°</em>
Now we find the area to be:
![\frac{1}{2}(6)(6)Sin(60)\\=15.59](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%286%29%286%29Sin%2860%29%5C%5C%3D15.59)
Hence, area of shaded = ![18.85 - 15.59=3.26](https://tex.z-dn.net/?f=18.85%20-%2015.59%3D3.26)
Rounding to nearest whole number, area of shaded region = 3m^2
Answer:
y=5/4x+1
Step-by-step explanation:
Slope point form is y-y1=m(x-x1) and requires a slope and a point which we have
Substituting the numbers into the equation gives
y-6=5/4(x-4) which would simplify to y=5/4x+1