The space diagonal will have length ...
... d = √(1² +4² +2²) = √(1 +16 +4) = √21
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This can be found using the Pythagorean theorem. A drawing can help. Find the length of any face diagonal, then use that length as the leg of a right triangle whose hypotenuse is the space diagonal and whose other leg is the edge length not used in the first calculation.
Answer:
205 square ft
Step-by-step explanation:
1. Since his room is 12ft by 15.75ft, we can multiply to find the square ft needed to cover his room.
2. Since his closet is 2ft by 8ft, we can multiply to find the square ft needed to cover his closet.
3. Then, we add them to find how much carpeting is needed total.
4. (12*15.75)+(2*8)=189+16=205
That would be 528 my friend
Step-by-step explanation:
When -16t² + 32t + 75 < 75, -16t² + 32t < 0.
=> 16t(2 - t) < 0, t < 0 or t > 2.
However t < 0 is rejected as time cannot be a negative value. Hence the solution in interval notation is (2, ∞).
