Answer:
Option (A)
Step-by-step explanation:
Heights above the sea level are denoted with positive notations and depths below the sea level with negative.
Height of the highest peak of the mountain = +2228 meters
Lowest point of the lake = -15 meters
Difference between these elevations = 2228 - (-15)
= 2243 meters
Therefore, Option (A) will be the correct option.
Rectangular prism...becuase it is in rectangular shape..no matter how you cut it..it will give u a rectangle
Answer:
D. 0.65
Step-by-step explanation:
0.05 x 5=0.25
0.01 x 5=0.05
0.07 x 5=0.35
0.25+0.05+0.35=0.65
they all must pay 0.65 each
Answer:
6 hours of flight time I believe
Step-by-step explanation:
Answer:
Center: (4,8)
Radius: 2.5
Equation: ![(x-4)^2+(y-8)^2=6.25](https://tex.z-dn.net/?f=%28x-4%29%5E2%2B%28y-8%29%5E2%3D6.25)
Step-by-step explanation:
It was given that; the endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5).
Note that the longest chord is the diameter;
The midpoint of the ends of the diameter gives us the center;
Use the midpoint formula;
![(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )](https://tex.z-dn.net/?f=%28%5Cfrac%7Bx_1%2Bx_2%7D%7B2%7D%2C%5Cfrac%7By_1%2By_2%7D%7B2%7D%20%29)
The center is at; ![(\frac{4+4)}{2} ,\frac{5.5+10.5}{2}=(4,8)](https://tex.z-dn.net/?f=%28%5Cfrac%7B4%2B4%29%7D%7B2%7D%20%2C%5Cfrac%7B5.5%2B10.5%7D%7B2%7D%3D%284%2C8%29)
To find the radius, use the distance formula to find the distance from the center to one of the endpoints.
The distance formula is;
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
![r=\sqrt{(4-4)^2+(10.5-8)^2}](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B%284-4%29%5E2%2B%2810.5-8%29%5E2%7D)
![r=\sqrt{0^2+(2.5)^2}](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B0%5E2%2B%282.5%29%5E2%7D)
![r=\sqrt{0^2+(2.5)^2}=2.5](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B0%5E2%2B%282.5%29%5E2%7D%3D2.5)
The equation of the circle in standard form is given by;
![(x-h)^2+(y-k)^2=r^2](https://tex.z-dn.net/?f=%28x-h%29%5E2%2B%28y-k%29%5E2%3Dr%5E2)
We substitute the center and the radius into the formula to get;
![(x-4)^2+(y-8)^2=2.5^2](https://tex.z-dn.net/?f=%28x-4%29%5E2%2B%28y-8%29%5E2%3D2.5%5E2)
![(x-4)^2+(y-8)^2=6.25](https://tex.z-dn.net/?f=%28x-4%29%5E2%2B%28y-8%29%5E2%3D6.25)