Answer:
See explanation
Step-by-step explanation:
Paul has three cube-shaped boxes. Each box is a different size and they are stacked from the largest to the smallest. Some information about the boxes is given below.
- The combined volume of the three boxes is 1,197 cubic inches.
- The area of one face of the medium box is 49 square inches.
- The volume of the smallest box is 218 cubic inches less than the volume of the medium box.
1. The medium box has the area of one face of 49 square inches, then
is the side length.
The volume of the medium box is
2. The volume of the smallest box is 218 cubic inches less than the volume of the medium box, then the volume of the smallest box is
Ib is the side length, then
The area of one face is
3. The volume of the largest box is
then if c is the side length,
4. The total height of the stack is the sum of all sides lengths:
5. Find the surface area of each box:
In total, Paul needs
of wrapping paper. He has 1,000 square inches, so Paul has enough paper to wrap all 3 boxes.
Answer:756
Step-by-step explanation:
9514 1404 393
Answer:
20 miles
Step-by-step explanation:
The north and east distances form the legs of a right triangle. The straight-line distance between the trains is the hypotenuse of that triangle. The Pythagorean theorem can be used to find the length of the hypotenuse (d).
d² = 12² +16²
d² = 144 +256 = 400
d = √400 = 20
The two trains are 20 miles apart.
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<em>Additional comment</em>
You may recognize the given distances are in the ratio 3 : 4. You may recall that side ratios of 3 : 4 : 5 make a right triangle. If so, you recognize that the straight-line distance is (4 miles)×5 = 20 miles. (3:4:5 right triangles show up often in algebra and geometry problems, so might be something you want to look for.)
Answer: [ number 1 & 2are a rule of sequence ] 1: Write a rule for the sequence. 2,6,10,14 a; start with two and subtract four repeatedly b; start with four and add two repeatedly ** c; start with two and add four repeatedly d; start with two and add one , add two.
Step-by-step explanation:
Answer:
Last year: 49 students
Step-by-step explanation:
There were 23 more students this year than last year. This means that 72 is equivalent to x, or a random number, plus 23
If 23 + x =72
Then x = 72 - 23
Which means that x = 49, or that the number of students that completed projects for the science fair is 49.
Hope this helps!!!
