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Sloan [31]
2 years ago
15

According to these three facts, which statements are true? Circle D has center (2, 3) and radius 7. Circle F is a translation of

circle D, 2 units right. Circle F is a dilation of circle D with a scale factor of 1.5.
Choose exactly two answers that are correct.
.Circle F and circle D are similar.
.The radius of circle F is 10.5.
.Circle F and circle D are congruent.
.The center of circle F is (0, 3).
Mathematics
1 answer:
zavuch27 [327]2 years ago
7 0
A and B are correct.

ALL circles are similar, because they are all literally a circle; the same shape all around. Also if you were to dilate a radius of 7 by 1.5, you are multiplying 7 by 1.5.
7 x 1.5 = 10.5

I hope this helps!
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A scale drawing of a square has a side length of 6 millimeters. The drawing has a scale of 1 mm : 7 km. Find the actual perimete
zvonat [6]

Answer:

The real perimeter is:

P= 24 mm *\frac{7 km}{1mm}= 168 km

And the area would be:

P = 36mm^2 *\frac{(7km)^2}{(1mm)^2} = 1764 km^2

Step-by-step explanation:

For this case we know one side of a square given 6mm.

We can begin calculating the perimeter for the scale figure with this formula:

P = 4x = 4*6 mm =24 mm

The area for this case is given by:

A = x^2 = 6mm^2 = 36 mm^2

And we know that the drawing has a scale of 1 mm : 7 km and if we convert the perimeter to km we got:

P= 24 mm *\frac{7 km}{1mm}= 168 km

And the area would be:

P = 36mm^2 *\frac{(7km)^2}{(1mm)^2} = 1764 km^2

6 0
2 years ago
What is the volume of the following triangular prism?
Firdavs [7]

Answer:

Step-by-step explanation:

In order to calculate the volume of a triangular prism you need 2 things:

The triangles area and the prism's height.

Any prism's volume can be calculated by multiplying its base area with its height.

The Area of a triangle can be calculated in different ways.

The most used and "normal" way is:

(width * height) / 2

Another way is by using herons formula, which looks like this:

a, b, c = different sides of the triangle (length)

s = (a + b + c) / 2

a = \sqrt{s (s-a)(s-b)(s-c)}

When you have the prism's base area (b_{a}) you just have to multiply:

b_{a}*h=V

(V = volume)

If you have any questions, just ask them in the comments below.

Have a good day! (●'◡'●)

7 0
2 years ago
A shipping company claims that 90% of its packages are delivered on time. Jenny noticed that out of the last 10 packages shipped
nasty-shy [4]

The probability that 2 out of 10 randomly selected shipments would be late is 0.19.

<h2>Given </h2>

A shipping company claims that 90% of its packages are delivered on time.

Jenny noticed that out of the last 10 packages shipped, 2 were late.

<h2>What is probability?</h2>

The probability of success and failure remain the same throughout the trials.

The probability that 2 out of 10 randomly selected shipments would be late is given by;

\rm =^{10}C_2 \times (\dfrac{2}{10})^2 \times (0.8)^8\\\\=45 \times 0.04\times 0.16\\\\ = 0.19

Hence, the probability that 2 out of 10 randomly selected shipments would be late is 0.19.

To know more about Probability click the link given below.

brainly.com/question/5053059

3 0
2 years ago
Which of the following situations are equal to 20%? Select all that apply.
lilavasa [31]

Answer:

all except C.

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
M∠1=(3x+8)°​, m∠2=(3x+18)°​, and m∠3=(7x+9)°. What is m∠​3?
deff fn [24]

Answer:

87.4°

Step-by-step explanation:

(3x + 8) + (3x + 18) + (7x + 9) = 180

3x + 8 + 3x + 18 + 7x + 9 = 180

add the common numbers

13x + 35 = 180

subtract 35

13x = 145

divide 13

x = 11.2

then plug it back in to m<3

7(11.2) + 9

78.4 + 9

= 87.4°

8 0
3 years ago
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