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3 years ago

A rectangular prism has a length of 114 yards, a width of 212 yards, and a height of 4 yards.

Mathematics

2 answers:

drek231 [11]3 years ago

8 0

Answer: 96,672 yards cubed

Step-by-step explanation: The formula for the Volume of a rectangar prism is Length×Width×Height

114yds × 212yds × 4yds = 96,672yds^3

Its already in simplest form since its all yards

But, you can also convert it into miles

In which 1 mile = 1760 yards

So you'd divide 96670 by 1760, and what ever answer youget would be the answer in miles

Scrat [10]3 years ago

3 0

Answer:

96672 Is the answer :) Hope this helps!

Step-by-step explanation:

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bija089 [108]

The correct answer is 182

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Which pair of words describes this system of equations 3y=9x-6 2y+6x=4

pishuonlain [190]

Answer:

Consistent and dependent

Step-by-step explanation:

Given

$3y = 9x - 6$

$2y + 6x = 4$

Required

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Make y the subject in (2)

$2y + 6x = 4$

Collect like terms

$2y = 4 - 6x$

Divide through by 2

$y = 2 - 3x$

Substitute: $y = 2 - 3x$ in (1)

$3y = 9x - 6$

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Solve for x

$x = \frac{12}{18}$

Simplify

$x = \frac{2}{3}$

Substitute $x = \frac{2}{3}$ in $y = 2 - 3x$

$y = 2 - 3*\frac{2}{3}$

$y = 2 - 2$

$y =0$

So, we have:

$x = \frac{2}{3}$ and $y =0$

The system is consistent because it has at least 1 solution

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3 years ago

For the matrices below. Find all (real) eigenvalues. A= [7 9] [0 9]

Jet001 [13]

Answer:

The answer is "9 and 7".

Step-by-step explanation:

Given:

$A=\left[\begin{array}{cc}7&9\\0&9\end{array}\right]$

Using formula:

$|A-\lambda \cdot I|= 0\\\\$

$\to |\left[\begin{array}{cc}7&9\\0&9\end{array}\right]-\lambda \left[\begin{array}{cc}1&0\\0&1\end{array}\right] |=0\\\\\\ \to |\left[\begin{array}{cc}7&9\\0&9\end{array}\right]- \left[\begin{array}{cc}\lambda&0\\0&\lambda\end{array}\right] |=0\\\\\\\to|\left[\begin{array}{cc}7-\lambda &9\\0&9-\lambda\end{array}\right]|=0\\\\\\\to|(7-\lambda)(9-\lambda)|=0\\\\\to (7-\lambda)(9-\lambda)=0\\\\\to 7-\lambda=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 9-\lambda=0\\\\$

$\to \lambda=7 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \lambda=9\\\\$

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3 years ago

You can just copy this answer and get brainly

Verizon [17]

Answer:

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Step-by-step explanation:

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A recipe code lasagna calls for 3 pounds of tomatoes to serve 5 people. A caterer wants to make enough lasagna to serve 110 peop

yKpoI14uk [10]

Answer:

66 pounds of tomatoes

Step-by-step explanation:

A recipe code lasagna calls for 3 pounds of tomatoes to serve 5 people. A caterer wants to make enough lasagna to serve 110 people. How many pounds of tomatoes does he neeed

From the above question:

5 people = 3 pounds of tomatoes

110 people = x pounds of tomatoes

Cross Multiply

5 people × x pounds = 110 people × 3 pounds

x pounds = 110 people × 3 pounds/5 people

x pounds = 66 pounds of tomatoes

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