Answer:
It is irrational because it can not be represented as a fraction of two integers
Step-by-step explanation:
Given
![B_1 = 3.6](https://tex.z-dn.net/?f=B_1%20%3D%203.6)
![B_2 = 12\frac{1}{3}](https://tex.z-dn.net/?f=B_2%20%3D%2012%5Cfrac%7B1%7D%7B3%7D)
![H = \sqrt[3]5](https://tex.z-dn.net/?f=H%20%3D%20%5Csqrt%5B3%5D5)
Required
Why is the area irrational?
First, we need to calculate the area
![Area = \frac{1}{2}(B_1 + B_2) * H](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B1%7D%7B2%7D%28B_1%20%2B%20B_2%29%20%2A%20H)
![Area = \frac{1}{2}(3.6 + 12\frac{1}{3}) * \sqrt[3]5](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B1%7D%7B2%7D%283.6%20%2B%2012%5Cfrac%7B1%7D%7B3%7D%29%20%2A%20%5Csqrt%5B3%5D5)
![Area = \frac{1}{2}(3.6 + \frac{37}{3}) * 17100](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B1%7D%7B2%7D%283.6%20%2B%20%5Cfrac%7B37%7D%7B3%7D%29%20%2A%2017100)
![Area = \frac{1}{2}(\frac{10.8+37}{3}) * 1.710](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B1%7D%7B2%7D%28%5Cfrac%7B10.8%2B37%7D%7B3%7D%29%20%2A%201.710)
![Area = \frac{1}{2}(\frac{47.8}{3}) * 1.7100](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B1%7D%7B2%7D%28%5Cfrac%7B47.8%7D%7B3%7D%29%20%2A%201.7100)
![Area = \frac{47.8}{6} * 1.7100](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B47.8%7D%7B6%7D%20%2A%201.7100)
![Area = \frac{47.8* 1.7100}{6}](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B47.8%2A%201.7100%7D%7B6%7D)
![Area = \frac{81.738}{6}](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B81.738%7D%7B6%7D)
![Area = 13.623](https://tex.z-dn.net/?f=Area%20%3D%2013.623)
<em>It is irrational because it can not be represented as a fraction of two integers</em>
Answer:
Option(D)
Step-by-step explanation:
Given are the two triangles, that are ABC and DEF, in which AB=8ft, DE=6ft, AC=10ft and DF=7.5ft.
For the two triangles to be similar, it must satisfy the similarity condition that is:
Both the triangles must have congruent angles and the sides should be proportional. Since, two sides of the given triangles are not proportional.Moreover, ∠A=25° and ∠D=24° which are not equal and ∠C=60° and ∠F=61° which are also not equal.
Therefore, Not all the angles are congruent, thus the triangles cannot be similar.
Answer:
Part A- The 1st box is 96 and the second box is 10.
PartB-
Part C-
Step-by-step explanation:
<h2><u><em>
Part A:</em></u></h2>
5x12=60
6x12=72
8x12=96
10x12=120
So the 1st box is 96 and the second box is 10.
<h2><u><em>
Part B:</em></u></h2>
5 $50
6 $60
8 $80
I know this because Harry receives $10 per hour so you have to multiply the number of hours by $10.
<h2>
<em><u>Part C:</u></em></h2>
If Harry babysits for 5 hours, he would receive $60 but if he does yard work for 5 hours, he would receive $50. Harry would receive $10 more by babysitting than by doing yard work.
Hoped this helped.
Answer:
3 1/3
Step-by-step explanation:
4/(2 3/4)
4/(6/4)
4÷6/4
4*4/6
20/6
3 2/6 =3 1/3