Answer:
the tables have a pattern of consistancy
Step-by-step explanation:
<u>Picture 1:</u>
To figure this out, notice the pattern happening on x. It's simply counting to four, so the first blank is 1 and the next is 2.
The y coordinates seem to be going up by 9. 27 plus 9 is 36, so the answer to the fourth box is 36.
Another way to see how this is correct is to notice that the x is multiplying by 9 to get y. It works out as you look at it and plug it in!
<u>Picture 2:</u>
Yes, this is a proportional relationship. Since Dennis is adding 3 logs every hour, it is keeping a consistent pattern.
<u>Picture 3:</u>
If Jane is driving 60 miles per hour, the first hour she would've gone 60 miles. After a second hour, she would've gone 120 miles. Multiply 60 to your x coordinates to figure this out. You should get 60, 120, 180, and 240 for each box.
Focus on triangles DFC and DFE:
- They are both right triangles because DF is perpendicular to EC
So, the two triangles are congruent. It follows that CF=FE, and in particular
And since x=3, the length of EF is
Answer: The surface area of each cube is 24 ft² (24 square feet)
Step-by-step explanation: The boxes according to the question are shaped like cubes, which means the shape we have here has square faces on all sides. Also the boxes have been opened up into nets and this shows each box as having 6 faces.
The area of each face is derived as follows;
Area = L x W
Area = 2 x 2
Area = 4 ft²
Having calculated the surface area of each face, a box or cube with 6 faces will have its surface area as;
Area of box = Face area x 6
Area of box = 4 x 6
Area of box = 24 ft²
Therefore in designing labels for all of the boxes, Raj would need 24 square feet of label for each box.
