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dimaraw [331]
2 years ago
5

A 4" by 6" by 8" rectangular solid is cut by slicing through the midpoint of three adjacent edges. What is the number of inches

in the sum of the lengths of the edges of the tetrahedron that is cut?
Mathematics
1 answer:
Triss [41]2 years ago
7 0

Answer:

22.078

Step-by-step explanation:

I have attached the images above

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sukhopar [10]

the least common multiple is 1,020 :)

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Type in expanded form. Use parentheses to indicate multiplication.<br><br> (-3x)^4
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Negative 3x over the power by four
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3 years ago
A theater has a seating capacity of 750 and charges $3 for children, s5 for students, and $7 for adults. At a certain screening
-BARSIC- [3]

Answer:

Between 150 and 450

Step-by-step explanation:

We are going to find the number by resolving  a system of linear equations.

First we write the system equations :

C+S+A=750

Where C : children, S : students and A : adults

The equation represents the ''full attendance''

The second equation :

3C+5S+7A=3450

This equation represents the totaled receipts.

The system :

C+S+A=750\\3C+5S+7A=3450

has the following associated matrix :

\left[\begin{array}{cccc}1&1&1&750\\3&5&7&3450\end{array}\right]

By performing elementary matrix operations we find that the matrix is equivalent to

\left[\begin{array}{cccc}1&0&-1&150\\0&1&2&600\\\end{array}\right]

The new system :

C-A=150\\S+2A=600

Working with the equations :

C = 150 + A\\S = 600-2A

Our solution vector is :

\left[\begin{array}{c}C&S&A\end{array}\right] =\left[\begin{array}{c}150+A&600-2A&A\end{array}\right]

For example :

If 0 adults attended ⇒ A = 0

C = 150 + 0 \\C = 150\\S = 600 - 2A\\S = 600

This verify the totaled receipts equation :

150($3)+600($5) = $ 3450

A ≥ 0 ⇒ If A = 0 ⇒ C = 150

C = 150 is the minimum children attendance

From the equation :

S = 600 -2A

S ≥0

600 - 2A ≥ 0

600 ≥ 2A

300≥ A

A is restricted to the interval [ 0, 300]

When A = 0 ⇒ C = 150

When A = 300 ⇒C = 150 + A = 150 + 300 = 450

Children ∈ [ 150,450]

With C being an integer number (including 0)

Also S and A are integer numbers (including 0)

7 0
3 years ago
the population in a town is 10,000. The population is growing at a rate of 0.08. what will the population be in 10 years
cestrela7 [59]

Hope this helps have a nice day!!!!

7 0
2 years ago
Jerome found the lengths of each side of triangle QRS as shown, but did not simplify his answers. Simplify the lengths of each s
Margaret [11]

Answer:

QR = 6.0033

QS = 8.22

RS = 6.0033

QRS is isosceles

Step-by-step explanation:

Given

See attachment for complete question

From the attachment, we have the following parametersQR = \sqrt{(-3-0)^2+(-5.2-0)^2}

QR = \sqrt{9+27.04}

QS = \sqrt{(-3-5)^2+(-5.2-(-3.322))^2}

QS = \sqrt{64+3.53} = \sqrt{67.53

RS = \sqrt{(0-5)^2 + (0 - (-3.322))^2}

RS = \sqrt{(25 + 11.04}

Solving further, we have:

QR = \sqrt{9+27.04}

QR = \sqrt{36.04}

QR = 6.0033

QS = \sqrt{64+3.53} = \sqrt{67.53}

QS = 8.22

RS = \sqrt{25 + 11.04}

RS = \sqrt{36.04}

RS = 6.0033

From the calculations;

RS = QR = 6.0033

<em>This means that: QRS is isosceles</em>

8 0
3 years ago
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