Answer: height=6, width=9 and height=15, width=22.5
Step-by-step explanation:
If the rectangle has a height (
) to width (
) ratio of 3:4.5:
![\frac{h}{w}=\frac{3}{4.5}=0.66](https://tex.z-dn.net/?f=%5Cfrac%7Bh%7D%7Bw%7D%3D%5Cfrac%7B3%7D%7B4.5%7D%3D0.66)
We can find other dimensions that fit this relation by multiplying the same number in the numerator as in the denominator.
For example:
If we multiply
by
:
![(\frac{3}{4.5})(\frac{2}{2})=\frac{6}{9}=0.66](https://tex.z-dn.net/?f=%28%5Cfrac%7B3%7D%7B4.5%7D%29%28%5Cfrac%7B2%7D%7B2%7D%29%3D%5Cfrac%7B6%7D%7B9%7D%3D0.66)
As we can see
gives ues the same result as ![\frac{3}{4.5}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4.5%7D)
Another example:
If we multiply
by
:
![(\frac{3}{4.5})(\frac{5}{5})=\frac{15}{22.5}=0.66](https://tex.z-dn.net/?f=%28%5Cfrac%7B3%7D%7B4.5%7D%29%28%5Cfrac%7B5%7D%7B5%7D%29%3D%5Cfrac%7B15%7D%7B22.5%7D%3D0.66)
As we can see
gives ues the same result as ![\frac{3}{4.5}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4.5%7D)
Equilateral triangle is a triangle in which all its sides are equal.
Given:
side = 10 cm
Area of an equilateral triangle = √3/4 a²
1st: a = 10 ; A = 43.3 cm²
2nd: a = 5 ; A = 10.83 cm²
3rd: a = 2.5 ; A = 2.71 cm²
4th: a = 1.25 ; A = 0.68 cm²
5th: a = 0.625 ; A = 0.17 cm²
6th: a = 0.3125; A = 0.042 cm²
7th: a = 0.15625; A = 0.011.cm²
Summation: a1/1 -r ; a1 = 43.30 ; r = 0.25
43.30 / 1 - 0.25 = 43.30/0.75 = 57.73 cm²
The sum of the areas of the triangles if the process is continued without end is 57.73 cm²
Answer:
14
Step-by-step explanation:
im different
75 degrees because 42+63=105
180-105=x
Answer:
yes
Step-by-step explanation: