Answer:
they would have saved 35 dollars
Step-by-step explanation:
Ralph on his own would have paid 105 and jeff 140 but together with the discount they could save $35 by paying 210 in total with the discount.
Answer: Rectangle around the cylinder, Lateral surface of the cone, Half a sphere
To find this surface area, you have 3 different parts. First, you need the rectangular portion of the cylinder, because the circles will be on the inside of the composite shape. Then, you will need the lateral side of the cone, that's everything but the circular base. Again, the circle will be on the interior. Finally, you should find the surface area of half of the sphere.
Answer:
y=2x+6
Step-by-step explanation:
y=2x+6 you are welcome!!
Answer: ![DE\approx6.0](https://tex.z-dn.net/?f=DE%5Capprox6.0)
Step-by-step explanation:
Observe in the figure given in the exercise that four right triangles are formed.
In this case you can use the following Trigonometric Identity to solve this exercise:
From the figure you can identify that:
![\alpha =53\°\\\\hypotenuse=10\\\\adjacent=BE=DE](https://tex.z-dn.net/?f=%5Calpha%20%3D53%5C%C2%B0%5C%5C%5C%5Chypotenuse%3D10%5C%5C%5C%5Cadjacent%3DBE%3DDE)
Then, you can substitute values:
![cos(53\°)=\frac{DE}{10}](https://tex.z-dn.net/?f=cos%2853%5C%C2%B0%29%3D%5Cfrac%7BDE%7D%7B10%7D)
The next step is to solve for DE in order to find its value. This is:
![10*cos(53\°)=DE\\\\DE=6.01](https://tex.z-dn.net/?f=10%2Acos%2853%5C%C2%B0%29%3DDE%5C%5C%5C%5CDE%3D6.01)
Finally, rounding the result to the nearest tenth, you get that this is:
![DE\approx6.0](https://tex.z-dn.net/?f=DE%5Capprox6.0)