Answer:
Mean= the average of the number set= 18+18+63+63+84=246/5=49.2
Median- the number in the middle of the set= 63
Mode- the number(s) that repeat=1 8, 63
Range- the amount between the highest and lowest numbers= 84-18=66
Step-by-step explanation:
The slope of the line is 1/3
we know that the square, 4 equal sides, has a perimeter of 24, meaning each sides is simply 24 ÷ 4 = 6, since the area of a square is simply the side², that means the area of the square is 6² or just 36. We also know that the the trapezium has double the area of the square, namely 2*36 = 72, Check the picture below.
![\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ h=8\\ a=AB\\ b=3AB\\ A=72 \end{cases} \implies \begin{array}{llll} 72=\cfrac{8(AB+3AB)}{2}\\\\ 72=4(4AB)\implies 72=16AB\\\\ \cfrac{72}{16}=AB\implies \cfrac{9}{2}=AB \end{array}](https://tex.z-dn.net/?f=%5Ctextit%7Barea%20of%20a%20trapezoid%7D%5C%5C%5C%5C%20A%3D%5Ccfrac%7Bh%28a%2Bb%29%7D%7B2%7D~~%20%5Cbegin%7Bcases%7D%20h%3Dheight%5C%5C%20a%2Cb%3D%5Cstackrel%7Bparallel~sides%7D%7Bbases%7D%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20h%3D8%5C%5C%20a%3DAB%5C%5C%20b%3D3AB%5C%5C%20A%3D72%20%5Cend%7Bcases%7D%20%5Cimplies%20%5Cbegin%7Barray%7D%7Bllll%7D%2072%3D%5Ccfrac%7B8%28AB%2B3AB%29%7D%7B2%7D%5C%5C%5C%5C%2072%3D4%284AB%29%5Cimplies%2072%3D16AB%5C%5C%5C%5C%20%5Ccfrac%7B72%7D%7B16%7D%3DAB%5Cimplies%20%5Ccfrac%7B9%7D%7B2%7D%3DAB%20%5Cend%7Barray%7D)
The surface area of the smaller solid is 112 km².
<h3>What are Similar Solids?</h3>
Similar shapes are enlargements of two shapes using a scale factor.
The ratio of the volume of similar solids is the ratio of the cube of their length.
Formula:
- V/v = L³/l³................... Equation 1
- L/l = ∛(V/v)............... Equation 2
Where:
- V = Volume of the larger solid
- v = volume of the smaller solid
- L = Length of the larger solid
- l = Length of the smaller solid.
From the question,
Given:
Substitute the value into equation 2
To calculate the area of the smaller solid, we use the formula below
Where:
- a = Area of the smaller solid.
- A = Area of the larger solid
make a the subject of the equation
- a = (l²A)/L²................ Equation 2
From the question,
Given:
Substitute these values into equation 2
- a = (4²/9²)567
- a = 112 km²
Hence, the surface area of the smaller solid is 112 km².
Learn more about similar shapes here: brainly.com/question/2644832
#SPJ1
Answer:
6
Step-by-step explanation:
![3 + 3-7j + 7j=6](https://tex.z-dn.net/?f=3%20%2B%203-7j%20%2B%207j%3D6)