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stiv31 [10]
2 years ago
5

What is a possible scale factor for the dilation of the quadrilateral ABCD?

Mathematics
1 answer:
slamgirl [31]2 years ago
6 0

Answer:

\dfrac {1}{2}

Step-by-step explanation:

According to the diagram

if

The center is o

Then Distance from O to B'C'=1

Distance from O to BC=1+1=2

\therefore\sf Ratio\:is\:1:2.

<h3><u>More</u><u> </u><u>to</u><u> </u><u>know</u><u>:</u><u>-</u></h3><h3><u>Formulas</u><u> </u><u>related</u><u> </u><u>to</u><u> </u><u>surface</u><u> </u><u>area</u><u> </u><u>and</u><u> </u><u>volume</u><u>:</u><u>-</u></h3>

\begin{array}{|c|c|c|}\cline{1-3}\bf Shape&\bf Volume\ formula&\bf Surface\ area formula\\\cline{1-3}\sf Cube&\tt l^3}&\tt 6l^2\\\cline{1-3}\sf Cuboid&\tt lbh&\tt 2(lb+bh+lh)\\\cline{1-3}\sf Cylinder&\tt {\pi}r^2h&\tt 2\pi{r}(r+h)\\\cline{1-3}\sf Hollow\ cylinder&\tt \pi{h}(R^2-r^2)&\tt 2\pi{rh}+2\pi{Rh}+2\pi(R^2-r^2)\\\cline{1-3}\sf Cone&\tt 1/3\ \pi{r^2}h&\tt \pi{r}(r+s)\\\cline{1-3}\sf Sphere&\tt 4/3\ \pi{r}^3&\tt 4\pi{r}^2\\\cline{1-3}\sf Hemisphere&\tt 2/3\ \pi{r^3}&\tt 3\pi{r}^2\\\cline{1-3}\end{array}

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Match the solid figure to the appropriate formula.
AlekseyPX

1. L \cdot A=\pi r l        -       Cone

2. V=\frac{4}{3} \pi r^{3}         -        Sphere

3. T \cdot A=2 \pi r h+2 \pi r^{2} - Cylinder

4. V=\frac{1}{3} B h         -        Pyramid

5. L . A=p h         -        Prism

Solution:

1. L \cdot A=\pi r l

Lateral surface area of cone = \pi r l

where r is the radius of the cone and l is the slant height of the cone.

2. V=\frac{4}{3} \pi r^{3}

Volume of sphere = \frac{4}{3} \pi r^{3}

where r is the radius of the sphere.

3. T \cdot A=2 \pi r h+2 \pi r^{2}

Total surface area of cylinder = 2 \pi r h+2 \pi r^{2}

where r is the radius of the cylinder and h is the height of the cylinder.

4. V=\frac{1}{3} B h

Volume of pyramid = \frac{1}{3} B h

where B is the base area of the pyramid and h is the height of the pyramid.

5. L . A=p h

Lateral surface area of prism = p h

where p is the perimeter of the base and h is the height of the prism.

4 0
2 years ago
Please help and show work!!
Advocard [28]

1/3x + y = -2

-1/3x         -1/3x

y = -1/3x-2

4 0
3 years ago
The matrix method is being used to solve the system of equations x + 2y = 4 and 3x - y = 6.
Ira Lisetskai [31]

Answer: b) multiply row 1 by -3 and add the result to row 2


Step-by-step explanation:


8 0
2 years ago
X^4 + x^3 + x^2 + x=0
kifflom [539]
X^4 + x^3 + x^2 + x = 0

x(x^3 + x^2 + x + 1) = 0

x[x^2(x + 1) + 1(x + 1)] = 0

x(x + 1)(x^2 + 1) = 0 ⇔ x = 0 or x + 1 = 0 or x^2 + 1 = 0

x = 0 or x = -1 or x^2 = -1 -false

Answer: x= 0 or x = -1.
4 0
3 years ago
If y° and 150° form a linear pair , then y° ?​
yaroslaw [1]

Answer:

30 degrees

Step-by-step explanation:

A linear pair of angles add upto 180

So, y+150=180

y=180-150

=30

5 0
3 years ago
Read 2 more answers
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