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3 years ago

Simplify (5a2bc3) abc4

Mathematics

1 answer:

Tatiana [17]3 years ago

5 0

$(5a^{2}bc^{3}) abc^{4}=5*(a^{2}*a)*(b*b)*(c^{3}*c^{4})=5*a^{3}*b^{2}*c^{7}\\\\
5a^{3}b^{2}c^{7}\ is\ your\ answer.$

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What percent of the bottle of apple juice is water

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2 years ago

Read 2 more answers

Carson needs to build a closed container out of sheet metal, but needs to minimize the amount of sheet metal used. The volume of

Novosadov [1.4K]

Carson needs to select one of the following designs that meet his volume requirement, using the least amount of sheet metal which is the first option. Rectangular prism with dimensions of 8 in, 8 in., and 5 in.

<h3>How to find the volume of a right rectangular prism?</h3>

Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:

$V = a\times b \times c \: \: unit^3$

Carson needs to build a closed container out of sheet metal but needs to minimize the amount of sheet metal used.

The volume of Carson's container needs to be approximately 320 cubic Inches.

Carson needs to select one of the following designs that meets his volume requirement, using the least amount of sheet metal.

If we consider the Rectangular prism with dimensions of 8 inches (in.), 8 in., and 5 in.

Then the volume would be

$V = 8 \times 8 \times 5\\\\V = 320$

This satisfies the given volume so it could be the correct answer.

Learn more about the volume of a right rectangular prism here:

brainly.com/question/21308574

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2 years ago

A physician orders 0.5oz of magnesia and alumina oral suspension antacid 4 times per day for a client with indigestion.how many

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3 years ago

What is the area of a regular polygon with 100 sides and a perimeter of 100 units?

PolarNik [594]

Now, if the regular polygon has 100 sides, and the perimeter is 100 units, that simply means that each side is 1 unit, foot, meter, else.

so, we know each side is 1 unit long, and we know there are 100 sides,

$\bf \textit{area of a regular polygon}\\\\
A=\cfrac{1}{4}ns^2cot\left( \frac{180}{n} \right)\quad 
\begin{cases}
n=\textit{number of sides}\\
s=\textit{length of a side}\\
\frac{180}{n}=central~angle\\
\qquad~~ in~degrees\\
----------\\
n=100\\
s=1
\end{cases}
\\\\\\
A=\cfrac{1}{4}\cdot 100\cdot 1^2\cdot cot\left( \frac{180}{100} \right)\implies A=25cot\left(\frac{9}{5}^o \right)
\\\\\\
A\approx 795.51289884$

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3 years ago