Answer:
15,000cm^3
Step-by-step explanation:
Dividing the solid into 2;
Volume = Volume of A + Volume of B
Volume of Top prism (A) =25cm * 20cm * 10cm
Volume of Top prism (A) = 5000cm^3
Volume of bottom prism B = 20cm * 50 * 10
Volume of bottom prism B = = 10000cm^3
Volume of the figure = 5000 + 10000
Volume of the figure = 15,000cm^3
The expression is equivalent to ![\sqrt[6]{2}](https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7B2%7D)
.
<h2>
Given that</h2>
Expression; ![\dfrac{\sqrt{2}}{\sqrt[3]{2} }](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csqrt%7B2%7D%7D%7B%5Csqrt%5B3%5D%7B2%7D%20%7D)
<h3>We have to determine</h3>
The equivalent expression to the given expression.
<h3>According to the question</h3>
To determine the equivalent relation following all the steps given below.
Expression;
The equivalent expression is;
![= \dfrac{\sqrt{2}}{\sqrt[3]{2} }\\\\= \dfrac{2^{\frac{1}{2}}}{2^{\frac{1}{3}}}\\\\ = 2^{\frac{1}{2}-\frac{1}{3}}\\\\ = 2 ^{\frac{3-2}{6}}\\\\= 2^{\frac{1}{6}}\\\\= \sqrt[6]{2}](https://tex.z-dn.net/?f=%3D%20%5Cdfrac%7B%5Csqrt%7B2%7D%7D%7B%5Csqrt%5B3%5D%7B2%7D%20%7D%5C%5C%5C%5C%3D%20%5Cdfrac%7B2%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%7D%7B2%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%7D%5C%5C%5C%5C%20%3D%202%5E%7B%5Cfrac%7B1%7D%7B2%7D-%5Cfrac%7B1%7D%7B3%7D%7D%5C%5C%5C%5C%20%3D%202%20%5E%7B%5Cfrac%7B3-2%7D%7B6%7D%7D%5C%5C%5C%5C%3D%202%5E%7B%5Cfrac%7B1%7D%7B6%7D%7D%5C%5C%5C%5C%3D%20%5Csqrt%5B6%5D%7B2%7D)
Hence, the expression is equivalent to .
To know more about Expression click the link given below.
brainly.com/question/16450385
A square with the same perimeter as a rectangle will have larger area.
However, 42 is not divisible by 4, so we can do 10 by 11.
Length = 11, Width = 10, Area = 110
42 / 4 = 10.5
Length and Width = 10.5, Area = 110.25
Answer:
1.58
Step-by-step explanation:
The answer should be 1.58 because 12.64 divided by 8 is 1.58
The initial value is 21 and rate of change is 16 pages per week
<em><u>Solution:</u></em>
Given that After writing part of his novel, Thomas is now writing 16 pages per week
After 4 weeks, he has written 85 pages.
Given that assume the relationship to be linear
Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + c
y = mx + c
where "y" is the number of pages written after 4 weeks
x = 4 weeks and m = 16 pages
Therefore,
85 = 16(4) + c
85 = 64 + c
c = 85 - 64
c = 21
Therefore, initial value is 21 and rate of change is 16 pages per week
