2800 miles.
It takes one hour to go 350 miles, so if you multiply 350(miles) x 8(hours), you will get 2800.
Yes -14 is greater than -17
Answer:
![A=7\pi\ cm^2-\frac{343}{6}\ cm^2](https://tex.z-dn.net/?f=A%3D7%5Cpi%5C%20cm%5E2-%5Cfrac%7B343%7D%7B6%7D%5C%20cm%5E2)
Step-by-step explanation:
Area of plane figures
Being r the radius of a circle, the area of a sector defined by an angle
is
![A_s=\frac{\theta}{2} r^2](https://tex.z-dn.net/?f=A_s%3D%5Cfrac%7B%5Ctheta%7D%7B2%7D%20r%5E2)
If a is the repeated side of an isosceles triangle and
is the angle they define, then the area of the triangle is
![A_t=\frac{a^2}{2}sin\beta](https://tex.z-dn.net/?f=A_t%3D%5Cfrac%7Ba%5E2%7D%7B2%7Dsin%5Cbeta)
The figure shows a circle with radius of r=7 cm. The white area is equal to the area of the circle minus the blue area
The area of the circle is
![A_c=\pi r^2=49\pi cm^2](https://tex.z-dn.net/?f=A_c%3D%5Cpi%20r%5E2%3D49%5Cpi%20cm%5E2)
The blue area is the sum of the sector defined by the angle (360-150)=
and the triangle. An angle of
is equivalent to
![\frac{\pi}{180^o}210^o=\frac{7}{6}\pi](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%7D%7B180%5Eo%7D210%5Eo%3D%5Cfrac%7B7%7D%7B6%7D%5Cpi)
The area of the sector is
![A_s=\frac{7}{12}\pi (7^2)=\frac{343\pi}{12}\ cm^2](https://tex.z-dn.net/?f=A_s%3D%5Cfrac%7B7%7D%7B12%7D%5Cpi%20%287%5E2%29%3D%5Cfrac%7B343%5Cpi%7D%7B12%7D%5C%20cm%5E2)
The area of the triangle with center angle 150^o is
![A_t=\frac{(7)(7)}{2}sin150^o](https://tex.z-dn.net/?f=A_t%3D%5Cfrac%7B%287%29%287%29%7D%7B2%7Dsin150%5Eo)
![A_t=\frac{49}{2}\frac{1}{2}](https://tex.z-dn.net/?f=A_t%3D%5Cfrac%7B49%7D%7B2%7D%5Cfrac%7B1%7D%7B2%7D)
![A_t=\frac{49}{4}\ cm^2](https://tex.z-dn.net/?f=A_t%3D%5Cfrac%7B49%7D%7B4%7D%5C%20cm%5E2)
The blue area is
![\frac{49}{4}\ cm^2+\frac{343}{12}\pi\ cm^2](https://tex.z-dn.net/?f=%5Cfrac%7B49%7D%7B4%7D%5C%20cm%5E2%2B%5Cfrac%7B343%7D%7B12%7D%5Cpi%5C%20cm%5E2)
Finally, the white area is
![A=49\pi cm^2-(\frac{49}{4}\ cm^2+\frac{343}{12}\pi\ cm^2)](https://tex.z-dn.net/?f=A%3D49%5Cpi%20cm%5E2-%28%5Cfrac%7B49%7D%7B4%7D%5C%20cm%5E2%2B%5Cfrac%7B343%7D%7B12%7D%5Cpi%5C%20cm%5E2%29)
![A=\frac{245}{12}\pi\ cm^2-\frac{49}{4}\ cm^2](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B245%7D%7B12%7D%5Cpi%5C%20cm%5E2-%5Cfrac%7B49%7D%7B4%7D%5C%20cm%5E2)
Quotient is basically the answer you get when you divide two numbers. For example, the quotient of 6 and 3 is 2 because when I divide 6 by 3, I get 2.
Quotient of a number x and 12 =
![\frac{x}{12}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B12%7D%20)
7 less than quotient of a number x and 12 =
![\frac{x}{12} - 7](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B12%7D%20-%207)
5 times the number = 5*x = 5x
Hence, the equation is;
![\frac{x}{12} - 7 = 5x](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B12%7D%20-%207%20%3D%205x)
![\frac{x-(7*12)}{12} = 5x](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx-%287%2A12%29%7D%7B12%7D%20%3D%205x)
![x-84 = 5x*12](https://tex.z-dn.net/?f=x-84%20%3D%205x%2A12)
![x - 84 = 60x](https://tex.z-dn.net/?f=x%20-%2084%20%3D%2060x)
![x - 60x = 84](https://tex.z-dn.net/?f=x%20-%2060x%20%3D%2084)
![-59x = 84](https://tex.z-dn.net/?f=-59x%20%3D%2084)
x =
= -1.423728813559322 ≈ 1.42
Hence, the answer is A.
Answer:
Top left and bottom one
Step-by-step explanation: