Since the angles are complementary, they add to 90°. So we can write the equation:
x represents the first angle, and 4x represents the second
x+4x=90
5x=90
x=18
So the first angle is 18° and the second is 72° (18*4)
Hope this helps
There are 479001600 different ways the first 12 letters of the alphabet can be arranged.
Answer:
We divided the figure into 1 triangle and 2 rectangles.
Adding up the area of them, we get the total area:
A = 14 x (10 + 8 + 12 - 16)/2 + 8 x 5 + 6 x (12 + 8)
= 258 (yd2)
Hope this helps!
:)
Answer: The scale factor is 4
Step-by-step explanation:
We know that the pyramids are similar. The volume of one of these pyramids is 13,824 cubic feet and the volume of the other one is 216 cubic feet. Then:
By Similar solids theorem, if two similar solids have a scale factor of 
, then corresponding volumes have a ratio of 
Then:
Knowing this, we can find the scale factor. This is:
![\frac{13,824}{216}=\frac{a^3}{b^3}\\\\\frac{13,824}{216}=(\frac{a}{b})^3\\\\\frac{a}{b}=\sqrt[3]{\frac{13,824}{216}}\\\\scale\ factor=\frac{a}{b}=4](https://tex.z-dn.net/?f=%5Cfrac%7B13%2C824%7D%7B216%7D%3D%5Cfrac%7Ba%5E3%7D%7Bb%5E3%7D%5C%5C%5C%5C%5Cfrac%7B13%2C824%7D%7B216%7D%3D%28%5Cfrac%7Ba%7D%7Bb%7D%29%5E3%5C%5C%5C%5C%5Cfrac%7Ba%7D%7Bb%7D%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B13%2C824%7D%7B216%7D%7D%5C%5C%5C%5Cscale%5C%20factor%3D%5Cfrac%7Ba%7D%7Bb%7D%3D4)
Answer:
1/20
Step-by-step explanation:
(1/5) ÷ 4
*remember, you don't divide fractions, you multiply the first fraction by the inverse (flip it upside down) of the second fraction.*
(1/5) × (1/4) = (1/20)
