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3 years ago

14

Jacks living room is 16 feet by 20 feet long. if a scale drawing of his living room uses a scale of 3/4 inches= 6 feet, find the

dimentions of his living room on the drawing.

1 answer:

Juli2301 [7.4K]3 years ago

6 0

Answer:

40 inches

Step-by-step explanation:

16×20=320

320÷6=53.33

53.33×3=159.99

159.99÷4=39.9975

39.9975 rounded would be 40

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What is 4 yards and 2 feet multiplied by 3

lesantik [10]

Answer:

12 yds and 6 feet, aka 42 feet.

Step-by-step explanation:

You multiply everything by 3. Then you convert yards to feet, then add everything together.

5 0

3 years ago

The system of equations may have a unique solution, an infinite number of solutions, or no solution. Use matrices to find the ge

Leno4ka [110]

Answer:

Infinite number of solutions.

Step-by-step explanation:

We are given system of equations

$5x+4y+5z=-1$

$x+y+2z=1$

$2x+y-z=-3$

Firs we find determinant of system of equations

Let a matrix A= $\left[\begin{array}{ccc}5&4&5\\1&1&2\\2&1&-1\end{array}\right]$ and B= $\left[\begin{array}{ccc}-1\\1\\-3\end{array}\right]$

$\mid A\mid=\begin{vmatrix}5&4&5\\1&1&2\\2&1&-1\end{vmatrix}$

$\mid A\mid=5(-1-2)-4(-1-4)+5(1-2)=-15+20-5=0$

Determinant of given system of equation is zero therefore, the general solution of system of equation is many solution or no solution.

We are finding rank of matrix

Apply $R_1\rightarrow R_1-4R_2$ and $R_3\rightarrow R_3-2R_2$

$\left[\begin{array}{ccc}1&0&1\\1&1&2\\0&-1&-3\end{array}\right]$ : $\left[\begin{array}{ccc}-5\\1\\-5\end{array}\right]$

Apply $R_2\rightarrow R_2-R_1$

$\left[\begin{array}{ccc}1&0&1\\0&1&1\\0&-1&-3\end{array}\right]$ : $\left[\begin{array}{ccc}-5\\6\\-5\end{array}\right]$

Apply $R_3\rightarrow R_3+R_2$

$\left[\begin{array}{ccc}1&0&1\\0&1&1\\0&0&-2\end{array}\right]$ : $\left[\begin{array}{ccc}-5\\6\\1\end{array}\right]$

Apply $R_3\rightarrow- \frac{1}{2}$ and $R_2\rightarrow R_2-R_3$

$\left[\begin{array}{ccc}1&0&1\\0&1&0\\0&0&1\end{array}\right]$ : $\left[\begin{array}{ccc}-5\\\frac{13}{2}\\-\frac{1}{2}\end{array}\right]$

Apply $R_1\rightarrow R_1-R_3$

$\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]$ : $\left[\begin{array}{ccc}-\frac{9}{2}\\\frac{13}{2}\\-\frac{1}{2}\end{array}\right]$

Rank of matrix A and B are equal.Therefore, matrix A has infinite number of solutions.

Therefore, rank of matrix is equal to rank of B.

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3 years ago

When the volume of the gas is 16 cm3, its pressure is 20 L/cm2. Find the volume of the gas when the pressure is 2.2 L/cm2.

olga55 [171]

The answer is a.145.45cm^3

6 0

3 years ago

Read 2 more answers

AB is tangent to C. I need to find the value of r.

serious [3.7K]

Tangent always meets radius at 90° angle.

Angle ABC = 90° so Pythagoras' theorem applies.

r² + 4² = (r+2)²
r² + 16 = r² + 4r + 4
12 = 4r
r = 3

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3 years ago

[Pic] Name a face of the solid.

Ulleksa [173]

Answer:

Option C.

Step-by-step explanation:

Solid in the given picture is a rectangular prism and a rectangular prism has 6 faces. Each face is formed by joining 4 vertices of the prism.

All the faces joining four vertices are: AFGB, BGHC, ADEF, DCHE, FEHG, ADCB.

From the given options,

Option (C). ADEF will be one of the face of the solid.

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3 years ago