The answer would be D) because its true and the difference is -0.2.
Answer:
1st Question
A. 85
2nd Question
B. 71
Step-by-step explanation:
1st Question
{90 + 94 + 96 + 90} = 370/4 = 92.5
{95 + 99} = 194/2 = 97
{87 + 75 + 82 + 85} = 329/4 = 82.25
{71} = 71/1 = 71
.20(92.5) +.25(97) +.30(82.25) +.25(71) = 85.175 Rounded-up = 85
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2nd Question
.10(95) +.20(80) +.50(67) +.20(60) = 71
first off let's notice that the height is 11 meters and the volume of the cone is 103.62 cubic centimeters, so let's first convert the height to the corresponding unit for the volume, well 1 meters is 100 cm, so 11 m is 1100 cm.
![\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=\stackrel{cm^3}{103.62}\\ h=\stackrel{cm}{1100} \end{cases}\implies 103.62=\cfrac{\pi r^2 (1100)}{3} \\\\\\ 3(103.62)=1100\pi r^2\implies \cfrac{3(103.62)}{1100\pi }=r^2 \\\\\\ \sqrt{\cfrac{3(103.62)}{1100\pi }}=r\implies \stackrel{cm}{0.00510199305952} \approx r](https://tex.z-dn.net/?f=%5Ctextit%7Bvolume%20of%20a%20cone%7D%5C%5C%5C%5C%20V%3D%5Ccfrac%7B%5Cpi%20r%5E2%20h%7D%7B3%7D~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%20h%3Dheight%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20V%3D%5Cstackrel%7Bcm%5E3%7D%7B103.62%7D%5C%5C%20h%3D%5Cstackrel%7Bcm%7D%7B1100%7D%20%5Cend%7Bcases%7D%5Cimplies%20103.62%3D%5Ccfrac%7B%5Cpi%20r%5E2%20%281100%29%7D%7B3%7D%20%5C%5C%5C%5C%5C%5C%203%28103.62%29%3D1100%5Cpi%20r%5E2%5Cimplies%20%5Ccfrac%7B3%28103.62%29%7D%7B1100%5Cpi%20%7D%3Dr%5E2%20%5C%5C%5C%5C%5C%5C%20%5Csqrt%7B%5Ccfrac%7B3%28103.62%29%7D%7B1100%5Cpi%20%7D%7D%3Dr%5Cimplies%20%5Cstackrel%7Bcm%7D%7B0.00510199305952%7D%20%5Capprox%20r)
The area of the given right triangle is: 22.5 cm².
<h3>How to Find the Area of a Right Triangle?</h3>
The area of a right triangle with a base of "b" and an height of "h" can be determined using the following formula:
Area of triangle = 1/2bh = 1/2(base)(height).
Given that the right triangle has the following dimensions:
Height (h) = 5 cm
Base (b) = 9 cm
Area of triangle = 1/2bh = 1/2(5)(9)
Area of triangle = 1/2(45)
Area of triangle = 22.5 cm²
Thus, the area of the right triangle is: 22.5 cm².
Learn more about the area of triangle on:
brainly.com/question/21735282
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