Answer:
B: shift vertically up by 3
Step-by-step explanation:
I suggest using desmos graphing for future questions like these
Hope this helps :)
Answer:
Step-by-step explanation:
The Pythagorean theorem is with right triangles. You know that a right triangle is formed from first to the mound to home-plate. So when you draw it out and label the sides you have one missing side. the Pythagorean theorem is a^2 + b^2 = C^2. the c side is always the slanted side. In this case the c side would be from homeplate to first base. So you just have to solve now. (33)^2 + (50)^2 = c^2. So 1089 + 2500 = c^2. Add together and you get: 3589 = c^2. Lastly take the square-root of 3589 and that is the answer. 59.9. So the answer is 59.9 feet.
Answer:
Volume: 52 Units Squared
Surface Area: 94 units.
Step-by-step explanation:
The volume is relatively simple to find. Just subtract the original volume by the 2x2x2 cube's volume. The original volume is 60. The cube's volume is 2x2x2 which is 8. 60-8=52.
The surface area is harder to find. Try to envision the corner of the rectangle being cut out. We see that each side of the cube has a surface area of 2x2 which is 4. In the picture, we see that three sides of the rectangle has been partially removed. But since each side of the cube has an equal surface area, it is safe to minus 3 of the sides that has been partially removed by 3. However, since that it is the corner, the "dent" that the cube made in the rectangle also needed to be counted. As we said, each of the sides of a cube has a surface area of 4, so since that the dent has 3 sides, we see that the surface area of the dent is 4x3 which is 12. Now we need to count the unaffected sides of the rectangle. There are three of them. Just multiply the edges to find the surface area of each side. Add all of the values up: 11+16+12+8+15+12+20=94 units.
