Answer:
45:40
Step-by-step explanation:
You take the first time and divide 60 by that number (60/4=15) Then you multiply it by the numbers of shoes being created (3*15=45) Repeat this for the other part and you have your answer
The equation of a circle with center (h,k) and radius r is given as:
![(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)
From the question, it is given that the center of the circle is (-7,-4) and the diameter is 8.
Since the radius is half the diameter, it follows that the radius is:
![\frac{\text{diameter}}{2}=\frac{8}{2}=4](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7Bdiameter%7D%7D%7B2%7D%3D%5Cfrac%7B8%7D%7B2%7D%3D4)
So it implies that r=4, h=-7, and k=-4.
Substitute these values into the equation of a circle:
![\begin{gathered} (x-(-7))^2+(y-(-4))^2=4^2 \\ \Rightarrow(x+7)^2+(y+4)^2=16 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%28x-%28-7%29%29%5E2%2B%28y-%28-4%29%29%5E2%3D4%5E2%20%5C%5C%20%5CRightarrow%28x%2B7%29%5E2%2B%28y%2B4%29%5E2%3D16%20%5Cend%7Bgathered%7D)
Hence, the equation of the circle is:
![(x+7)^2+(y+4)^2=16](https://tex.z-dn.net/?f=%28x%2B7%29%5E2%2B%28y%2B4%29%5E2%3D16)
-4-8 = -12 Becuase -4 plus -8 is -12
9514 1404 393
Answer:
- see below for a sketch
- 12 km
Step-by-step explanation:
The distance can be calculated using the Law of Cosines. The angle internal to the triangle at Q is (180°-(146° -65°)) = 99°. Then the distance PR can be found from ...
PR² = PQ² +QR² -2·PQ·QR·cos(∠PQR)
PR² = 6² +10² -2·6·10·cos(99°) ≈ 154.77
PR ≈ √154.77 ≈ 12.44 . . . . km
The distance PR is about 12 km.