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3 years ago

8. The figure shows a barn that Mr. Fowler is building for his farm. Find the Volume

Mathematics

1 answer:

Marat540 [252]3 years ago

6 0

Answer:

The answer

Step-by-step explanation:

The Volume of the barn is 40,000 ft

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Find the? inverse, if it? exists, for the given matrix.<br><br> [4 3]<br><br> [3 6]

True [87]

Answer:

Therefore, the inverse of given matrix is

$=\begin{pmatrix}\frac{2}{5}&-\frac{1}{5}\\ -\frac{1}{5}&\frac{4}{15}\end{pmatrix}$

Step-by-step explanation:

The inverse of a square matrix $A$ is $A^{-1}$ such that

$A A^{-1}=I$ where I is the identity matrix.

Consider, $A = \left[\begin{array}{ccc}4&3\\3&6\end{array}\right]$

$\mathrm{Matrix\:can\:only\:be\:inverted\:if\:it\:is\:non-singular,\:that\:is:}$

$\det \begin{pmatrix}4&3 \\3&6\end{pmatrix}\ne 0$

$\mathrm{Find\:2x2\:matrix\:inverse\:according\:to\:the\:formula}:\quad \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}^{-1}=\frac{1}{\det \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}}\begin{pmatrix}d\:&\:-b\:\\ -c\:&\:a\:\end{pmatrix}$

$=\frac{1}{\det \begin{pmatrix}4&3\\ 3&6\end{pmatrix}}\begin{pmatrix}6&-3\\ -3&4\end{pmatrix}$

$\mathrm{Find\:the\:matrix\:determinant\:according\:to\:formula}:\quad \det \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}\:=\:ad-bc$

$4\cdot \:6-3\cdot \:3=15$

$=\frac{1}{15}\begin{pmatrix}6&-3\\ -3&4\end{pmatrix}$

$=\begin{pmatrix}\frac{2}{5}&-\frac{1}{5}\\ -\frac{1}{5}&\frac{4}{15}\end{pmatrix}$

Therefore, the inverse of given matrix is

$=\begin{pmatrix}\frac{2}{5}&-\frac{1}{5}\\ -\frac{1}{5}&\frac{4}{15}\end{pmatrix}$

4 0

4 years ago

3.1 = x / 2 equals what?

neonofarm [45]

Answer: 6.2

Step-by-step explanation: 3.1 = x/2

x/2=3.1

x/2(2)=3.1(2)

x=6.2

3 0

3 years ago

The length of the hypotenuse of a right triangle is 30 inches. The length of one leg is 27 inches. To the nearest tenth, what is

attashe74 [19]

Use Pythagorean Theorem

8 0

3 years ago

Please help me with this D:

weeeeeb [17]

Answer:

Step-by-step explanation:

7 fridge fggg difficult grab fyi to figure

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3 years ago

The daytime temperature in Apple Valley is falling by 2.5 degrees each day. What will the net change in the daily temperature be

nexus9112 [7]

Answer:

Option D -17.5 degrees is correct answer

Step-by-step explanation:

Since a calendar week has 7 days. and temperature is falling by -2.5 daily.

So, On Day 1 Temperature is -2.5 degrees

On Day 2 Temperature is -2.5 + -2.5 = -5 degrees

On Day 3 Temperature is = -5 + -2.5 = -7.5 degrees

On Day 4 Temperature is = -7.5 + -2.5 = -10 degrees

On Day 5 Temperature is = -10 + -2.5 = -12.5 degrees

On Day 6 Temperature is = -12.5 + -2.5 = -15 degrees

On Day 7 Temperature is = -15 + -2.5 = -17.5 degrees

So, Option D -17.5 degrees is correct answer.

3 0

3 years ago

Read 2 more answers