Ask question

Ask question

All categories

4 years ago

4

All circles are similar figures. A Single transformation is applied to the circle with center M to create another circle with ce

nter N. Which statement about the transformation is true?

1 answer:

sergey [27]4 years ago

3 0

Answer:

A dilation was applied because the diameter of the circle decreased.

Step-by-step explanation:

Dilation is a process of either increasing or decreasing the size of a given figure without changing its shape. The resizing process make use of a scale factor to produce a dilated image of the given figure.

In the given question, it can be observed that the circle with center M has a diameter of 6 units, while that with center N has a diameter of 3 units. Thus circle M has been dilated with a scale factor of $\frac{1}{2}$ to produce circle N.

Therefore, a dilation was applied because the diameter of the circle decreased.

You might be interested in

The local animal shelter expects a 23% increase in adoptions in November. During October, 76 animals were adopted. About how man

laila [671]

Answer:

93

Step-by-step explanation:

It recieves a 23% increase in adoptions from October to november so 123% or 1.23.

Multiply 76 (the number of adoptions in October) by the increased rate.

76 * (1.23) = 93.48 so 93 since that is the neares whole number.

5 0

3 years ago

A card is selected at random from a standard deck of 52 cards find the probability of choosing a spade or a 8card

Nina [5.8K]

Answer: 8 out of 52

Step-by-step explanation: there are 52 cards and you are trying to figure out out 52 which one out the 52 would be 8 or a spade there are 4 8 cards and 4 spade cards the answer would be 8 out of 52 Hope this Helps You!

4 0

3 years ago

Find the magnitude of the net electric field at the origin (created by charges q1 and q2).

Readme [11.4K]

The direction of the net magnetic field is $167.36^{\circ}$

<h3>How to find the magnitude?</h3>

$q_1=-4 \mathrm{nC} \text { at }(0.6,0.8)$

$q_2=6 \mathrm{nC}$ at (0.6,0)

$r_1=$ Distance of $q_1$ from origin $=\sqrt{0.6^2+0.8^2}$

$r_2=$ Distance of $q_2$ from origin $=0.6$

$\mathrm{k}=$ Coulomb constant $$=9$ times $10^9 \mathrm{Nm}^2 / \mathrm{C}^2$$

Electric field is given by

$&E_1=\frac{k q_1}{r_1^2} \\$

$&\Rightarrow E_1=\frac{9 \times 10^9 \times 4 \times 10^{-9}}{\sqrt{0.6^2+0.8^2}} \\$

$&\Rightarrow E_1=36 \mathrm{~N} / \mathrm{C}$

$&\theta=\tan ^{-1} \frac{0.8}{0.6} \\$

$&\Rightarrow \theta=53.13^{\circ} \\$

$&E_1=36 \cos 53.13^{\circ} \hat{i}+36 \sin 53.13^{\circ} \hat{j} \\$

$&\Rightarrow E_1=21.6 \hat{i}+28.8 \hat{j}$

$&E_2=\frac{k q_2}{r_2^2} \\$

$&\Rightarrow E_2=\frac{9 \times 10^9 \times 6 \times 10^{-9}}{0.6^2} \\$

$&\Rightarrow E_2=150 \mathrm{~N} / \mathrm{C}$

The charge $q_2$ is on the $\mathrm{x}$ axis itself and it is pointing towards the origin (left side) so the sign will be negative

$E_2=-150 \hat{i}$

Resultant electric field

$&E=E_1+E_2 \\$

$&\Rightarrow E=21.6 \hat{i}+28.8 \hat{j}+(-150 \hat{i}) \\$

$&\Rightarrow E=-128.4 \hat{i}+28.8 \hat{j}$

Magnitude of electric field is given by

$&|E|=\sqrt{(-128.4)^2+28.8^2} \\$

$&\Rightarrow|E|=121.6 \mathrm{~N} / \mathrm{C}$

Magnitude of the net electric field is $121.6 \mathrm{~N} / \mathrm{C}$

Direction is given by

$\theta=\tan ^{-1} \frac{128.4}{28.8}=77.36^{\circ}$

From the -x axis

$(90+77.36)^{\circ}=167.36^{\circ}$

The direction of the net magnetic field is $167.36^{\circ}$

To learn more about magnetic field, refer to:

brainly.com/question/26257705

#SPJ4

6 0

2 years ago

Given mn, find the value of x.

Lesechka [4]

Answer:

x = 23

Step-by-step explanation:

You have to find where they are equal because the angle will be the same.

8x - 27 = 7x + 4

x = 23

4 0

3 years ago

Read 2 more answers

James has a balance of $1700 on a credit card with an APR of 18.7%, compounded monthly. About how much will he save in interest

miss Akunina [59]

Answer:

$121.51

Step-by-step explanation:

At 18.7%, the monthly multiplier is 1+.187/12, so for the year, James' balance is multiplied by (1+.187/12)^12 ≈ 1.2038899

At 12.5%, the monthly multiplier is 1+.125/12, so for the year, James' balance is multiplied by (1+.125/12)^12 ≈ 1.1324161

The difference in these multipliers is ...

1.2038899 -1.13241605 = 0.0714739

so James' savings is ...

$1700 × 0.0714739 ≈ $121.51

5 0

3 years ago