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Pavel [41]
4 years ago
14

A storage container is rectangular and has a length of 15ft and a width of 4ft. It will hold 270 cubic feet of materials. What i

s the height of the storage container?
The height of the storage container is _______ feet.
Mathematics
1 answer:
KonstantinChe [14]4 years ago
5 0

Volume of a rectangular prism = l × w × h.

In this case,

V = 270 cubic feet

l = 15 feet

w = 4 ft

h = ?

Plug our values into the volume formula.

270 cubic feet = 15 feet × 4 feet × h.

Simplify the right side

270 = 60 × h.

Divide each side by 60.

4.5 = h

The height is 4.5 feet.

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What is the height of the flagpole in the diagram below
Olegator [25]

Answer: The height of the flagpole is 12 feet.

Step-by-step explanation:

Let the height of the flagpole be 'H'.

So, from the figure, we can conclude that, the height and shadow of the flagpole is in proportion to the height and shadow of the stick.

Given:

Height of stick is,

Shadow of the stick is,

Shadow of the flagpole is,

Now, as these are in proportion, we have

Plug in the given values and solve for 'H'. This gives,

Hence, the height of the flagpole is 12 feet.

4 0
3 years ago
polynomial function of degree 4 with -1 as a zero of multiplicity 3 and 0 as a zero of multiplicity 1
iren [92.7K]
\bf \begin{cases}
x=-1\implies &x+1=0\\
x=0\implies &x=0
\end{cases}
\\\\\\
\stackrel{\textit{multiplicity of 3}}{(x+1)^3}~~\stackrel{\textit{multiplicity of 1}}{(x)^1}=\stackrel{original~polynomial}{0}
\\\\\\
(x^3+3x^2+3x+1)(x)=\stackrel{y}{0}\implies x^4+3x^3+3x^2+x=y
6 0
3 years ago
The table shows the ratio of people who ate a certain type of lunch to the total number of people who ate lunch. A total of 840
Elza [17]

The sum of the individual lunch ate by people is equal to the total number of people who ate lunch.

<h3>What is an equation?</h3>

An equationi is an expression that shows the relationship between two or more variables and number.

Given that the total number of people who ate lunch is 840, hence:

The sum of the individual lunch ate by people is equal to the total number of people who ate lunch.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

6 0
2 years ago
Daniel reads dor 8 times as many as April. Daniel read 44 minutes this week. How many minutes does April read?
ELEN [110]
44 [minutes] * 8 [times as many as April] = 352 [minutes in April]
5 0
3 years ago
Number 2 I need help on how to solve it
Hunter-Best [27]

Let's simplify the following expression:

\text{ }\frac{\text{ \lparen2x}^4\text{ - y}^6\text{z}^{-4})^2}{\text{ 2x}^2\text{z}^3}\text{ }\cdot\text{ }\frac{\text{ 6x}^5\text{y}^{-4}\text{z}^{-5}}{\text{ \lparen2x}^6\text{y}^3\text{z}^{-3})^2}

We get,

\text{ }\frac{(\text{2x}^4\text{ - y}^6\text{z}^{-4})^2}{\text{ 2x}^2\text{z}^3}\text{ }\cdot\text{  }\frac{6x^5y^{-4}z^{-5}}{(2x^6y^3z^{-3})^2}\text{ }\frac{(2x^4-y^6z^{-4})^2(6x^5y^{-4}z^{-5})}{(2x^2z^3)(2x^6y^3z^{-3})^2}\text{ }\frac{(4x^8\text{ - 4x}^4y^6z^{-4}\text{ + y}^{12}z^{-8})(6x^5y^{-4}z^{-5})}{(2x^2z^3)(4x^{12}y^6z^{-6})}\text{ }\frac{24x^{13}y^{-4}z^{-5}\text{ - 24x}^9y^2z^{-9}\text{ + 6x}^5y^8z^{-13}}{8x^{14}y^6z^{-3}}

4 0
1 year ago
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