Answer:
14.4 solved by doing 24(3/5)
Step-by-step explanation:
a ratio can be seen as division
3:5 = 3/5
In a rectangle, there will be two sets of equal lengths:
56 = 2(x) + 2(x + 2)
56 = 2x + 2x + 4
56 = 4x + 4
52 = 4x
13 = x
Width = 13cm
Length = 15cm
Answer:
<h2>Volume = 1659.84</h2><h2>Surface area = 1205.36</h2>
Step-by-step explanation:
Volume for triangular prism = 1/2 * b * l * h
we are given the length and the height but not the base.
since it is a right triangle we can use the Pythagorean theorem a^2 + b^2 = c^2
13.3^2 + b^2 = 20.5^2
176.89 + b^2 = 420.25
b^2 = 243.36
b =
= 15.6
1/2 (15.6)(13.3)(16) = 1659.84
Front: 15.6 x 13.3 = 207.48
Back: 15.6 x 13.3 = 207.48
Left: 15.6 x 16 = 249.6
Right: 13.3 x 16 = 212.8
Bottom: 20.5 x 16 = 328
207.48 + 207.48 + 249.6 + 212.8 + 328 = 1205.36
ΔJKL : ΔXYZ
for two similar triangles we have this property:
![\frac{JK}{XY} =\frac{KL}{YZ}](https://tex.z-dn.net/?f=%20%5Cfrac%7BJK%7D%7BXY%7D%20%3D%5Cfrac%7BKL%7D%7BYZ%7D%20%20)
plugging the given values to find x
![\frac{6}{9} =\frac{8}{x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B6%7D%7B9%7D%20%3D%5Cfrac%7B8%7D%7Bx%7D%20%20)
cross multiplying ,
6*x=8*9
6x =72
x=12