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OverLord2011 [107]
3 years ago
13

4 cm

Mathematics
2 answers:
NNADVOKAT [17]3 years ago
7 0
I think the answer is A or D
prisoha [69]3 years ago
7 0

Answer:

Side of bare canvas = 17 cm

Step-by-step explanation:

Let the original side of square shape canvas painting be x cm

Adding 4 cm wide decorative frame to each side of the canvas.

The area of of frames painting is 625 cm²

Please find the attachment for figure.

Frame added both sides.  New side = (x + 4 + 4)

The new side of painting after added frame = (x + 8) cm

The shape of painting is square.

Area of square shape = side × side

Therefore,

(x+8)(x+4)=625

(x+8)^2=25^2

Taking square root both sides

x+8=25

=x=25-8

x=17

Hence, the side of the bare canvas is 17 cm

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A model of space shuttle Apollo Saturn V is created width a scale of 1: 144 if the actual space shuttle has a width of 62.4 feet
ollegr [7]

The width of model is 5.2 inches

<em><u>Solution:</u></em>

Given that, model of space shuttle Apollo Saturn V is created width a scale of 1 : 144

The actual space shuttle has a width of 62.4 feet

Convert 62.4 feet to inches

1 feet = 12 inches

62.4 feet = 12 x 62.4 inches = 748.8 inches

Actual width = 748.8 inches

To find: Width of model in inches

From given,

Scale width : Actual width = 1 : 144

Let "x" be the scaled width

Then we can say,

Scale width : Actual width = 1 : 144

x : 748.8 = 1 : 144

In fractions,

\frac{x}{748.8} = \frac{1}{144}\\\\x = \frac{748.8}{144}\\\\x = 5.2

Thus the width of model is 5.2 inches

7 0
3 years ago
If the sum of interior angles measures of a polygon is 720 degrees, how many sides does the polygon have?
Alenkasestr [34]

Answer:

6

Step-by-step explanation:

The ASP of a hexagon is 720 degrees

3 0
3 years ago
Read 2 more answers
What is the area of the rhombus shown below? AC=17 BD=15 AB=11.2 Answers: A. 255 square units B. 190.4 square units C. 16 square
Lena [83]

Answer:

D. 127.5 square units

Step-by-step explanation:

AC=17

BD=15

AB=11.5

Diagonal (1&2) are given, base of the rhombus is also given.

Height is not given

Area of a rhombus given the diagonals

=1/2×d1×d2

Where,

d1=AC=17

d2=BD=15

Area of a rhombus=1/2×d1×d2

=1/2×17*15

=1/2×255

=127.5

D. 127.5 square units

4 0
4 years ago
Exercise 3.7.4: let a = 2 1 0 0 2 0 0 0 2 .
swat32

With

\mathbf A=\begin{bmatrix}2&1&0\\0&2&0\\0&0&2\end{bmatrix}

we have

\det(\mathbf A-\lambda\mathbf I)=\begin{vmatrix}2-\lambda&1&0\\0&2-\lambda&0\\0&0&2-\lambda\end{vmatrix}=(2-\lambda)^3

so \mathbf A has one eigenvalue, \lambda=2, with multiplicity 3.

In order for \mathbf A to not be defective, we need the dimension of the eigenspace to match the multiplicity of the repeated eigenvalue 2. But \mathbf A-2\mathbf I has nullspace of dimension 2, since

\begin{bmatrix}0&1&0\\0&0&0\\0&0&0\end{bmatrix}\begin{bmatrix}x\\y\\z\end{bmatrix}=\mathbf 0\implies x=0\text{ or }y=0

That is, we can only obtain 2 eigenvectors,

\begin{bmatrix}1\\0\\0\end{bmatrix}\text{ and }\begin{bmatrix}0\\0\\1\end{bmatrix}

and there is no other. We needed 3 in order to complete the basis of eigenvectors.

3 0
3 years ago
the perimeter of a rectangle is 222 millimeters if the length of the rectangle is 60 millimeters what is the width of the rectan
trapecia [35]
Perimiter=legnth+legnth+width+width=2lengt+2width

lesngh=60
perimiter=60+60+2width
perimiter=120+2widht
222=120+2width
subtract 120 from both sdies
102=2width
divide by 2
51 mm=width
8 0
3 years ago
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