The first thing we will do is assume that the prism is square based.
We have then that the edges of the base are:
P = 4L
P = 4 (8)
P = 32 cm
The edges of the top of the prism are:
P = 4L
P = 4 (8)
P = 32 cm
The edges of the prism height are:
P = 4h
P = 4 (11)
P = 44 cm
The total sum will be:
Pt = 32 + 32 + 44
Pt = 108 cm
Answer:
the sum of all edges is:
Pt = 108 cm
Answer: The functions values are greater than 0 over the interval.
Step-by-step explanation:
To tell if a function is positive over a given interval, see if it's below the x-axis or if it's under (since the x-axis represents 0).
- If it's below, it's less than zero.
- If it is above, it's greater than zero.
If the interval is above the x-axis, it's positive (greater), and if it's below, it's negative (less).
Answer:
Option C. ![26\ units](https://tex.z-dn.net/?f=26%5C%20units)
Step-by-step explanation:
we know that
Triangles ADE and ABC are similar by AA similarity postulate
AB=2AD
Apply proportion
![\frac{AD}{AB}=\frac{8x-6}{12x+4}\\ \\\frac{AD}{2AD}=\frac{8x-6}{12x+4}\\ \\\frac{1}{2}=\frac{8x-6}{12x+4}\\ \\12x+4=16x-12\\ \\16x-12x=4+12\\ \\4x=16\\ \\x=4\ units](https://tex.z-dn.net/?f=%5Cfrac%7BAD%7D%7BAB%7D%3D%5Cfrac%7B8x-6%7D%7B12x%2B4%7D%5C%5C%20%5C%5C%5Cfrac%7BAD%7D%7B2AD%7D%3D%5Cfrac%7B8x-6%7D%7B12x%2B4%7D%5C%5C%20%5C%5C%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7B8x-6%7D%7B12x%2B4%7D%5C%5C%20%5C%5C12x%2B4%3D16x-12%5C%5C%20%5C%5C16x-12x%3D4%2B12%5C%5C%20%5C%5C4x%3D16%5C%5C%20%5C%5Cx%3D4%5C%20units)
Find the length of segment DE
![DE=8x-6=8(4)-6=26\ units](https://tex.z-dn.net/?f=DE%3D8x-6%3D8%284%29-6%3D26%5C%20units)
Answer:
a = 21
b = 63
c = 42√3
d = 21√3
Step-by-step explanation:
The sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. The given side (42) is the longest side of the smallest triangle, and the shortest side of the largest triangle.
That means the other sides of the smallest triangle will be ...
a = 42/2 = 21
a+b = 2(42) = 84
b = (a+b) -a = 84 -21 = 63
d = 21√3 . . . . middle-length side of the smallest triangle
c = 42√3 . . . . middle-length side of the largest triangle
The values of the variables are ...
- a = 21
- b = 63
- c = 42√3
- d = 21√3