Let b and h represent the length of the side of the base and the slant height, respectively. Then the total surface area is
A = b² + 4*(1/2)bh
A = b² +2bh
Substituting the given numbers, you have
336 = 12² +2·12·h
192 = 24h . . . . . . . . . subtract 12² = 144
8 = h . . . . . . . . . . . . . divide by 24
The slant height is 8 inches.
Answer:
You are differentiating with respect to x
with the formula X^n = nX^n-1
dy/dx= 12x2 - 24x + 14
Answer:
He's incorrect
Step-by-step explanation:
lf you put -(5/12) you get -2 1/2 and 5/-12 is -0.4166 and so forth. You can tell these number's aren't the same, so always check with a culculator to make sure. In this case he is wrong.
Answer:
The ratios of their perimeters is 3/4
Step-by-step explanation:
In this question, we are asked to find the ratio of two perimeter of different regular polygons having the same number of sides but different side lengths.
A regular polygon is a polygon that has its all its sides to be of equal lengths. Now to find the perimeter of this kind of polygon, what we need to do is to multiply the number of sides that we have by the length of one of the sides.
Now, since we know that the number of sides of the polygons are equal, we can say that both polygons each have a total length of n sides each.
For the 6 inch side polygon, the perimeter of the polygon would be 6 * n = 6n inches
For the 8 inch side polygon, the perimeter of the polygon would be 8 * n = 8n inches
The ratio of the two thus becomes;
6n : 8n
This is same as writing 6n/8n
This is equal to 3:4 to the lowest ratio( we first divide by n on both sides, then 2 after wards to arrive at this answer.