A triangle with vertices at A (20, -30), B (10, -15) and C (5, -20) has been dialted with a center of dialation at the origin. The image of B, point B' has the coordinates (2, -3). What is the scale factor of the dilation?

Answers

Answer 1

Answer:

Scale factor: 1.8

Step-by-step explanation:

AB' = √(20-2)² + (-30 - -3)² = √1053 = 9 √13

AB = √(20-10)² + (-30 - -15)² = √325 = 5 √13

AB' / AB = 9 √13 / 5 √13 = 9/5 = 1.8

A Triangle With Vertices At A (20, -30), B (10, -15) And C (5, -20) Has Been Dialted With A Center Of

Related Questions

Simplify (4j - 3.1c +5) + ( -7 - 4j - 0.9c)

Answers

the answer is = -4c -2

Listed are 32 ages for Academy Award winning best actors in order from smallest to largest. (Round your answers to the nearest whole number.) 18; 18; 21; 22; 25; 26; 27; 29; 30; 31; 31; 33; 36; 37; 37; 41; 42; 47; 52; 55; 57; 58; 62; 64; 67; 69; 71; 72; 73; 74; 76; 77 (a) Find the percentile of 37. th percentile

Answers

Answer:

34.5

Step-by-step explanation:

Given the data:

X : 18; 18; 21; 22; 25; 26; 27; 29; 30; 31; 31; 33; 36; 37; 37; 41; 42; 47; 52; 55; 57; 58; 62; 64; 67; 69; 71; 72; 73; 74; 76; 77.

The 37th Percentile :

37/100(n + 1)th term

n = sample size = 32

Therefore,

0.37(32 + 1)th term

0.37(33)th term = 12.21 th term

(12th + 13th) term ÷ 2

(33 + 36) / 2

69 / 2

34.5

The 37th percentile is 34.5

Choose Yes or No to tell if the number 30 will make each equation true.

270 ÷ □ = 9

Choose...



1,200 ÷ □ = 400

Choose...



9,000 ÷ □ = 300

Choose...



600 ÷ □ = 20

Choose...

(will mark brainiest and 5 points pls answer its for a test due in 20 min).

Answers

Answer:

1. Yes

2. No

3. yes

4. yes

270 ➗ 30 = 9 } True

1,200 ➗ 30 = 40 } False

9,000 ➗ 30 = 300 } False

600 ➗ 30 = 20 } False

Hope This Helps✨

Assume you are planning a picnic for lunch, but when you woke up there were rain clouds in the sky. If 50% of rainy days start with rain clouds in the air, 20% of all days start with clouds in the air, and rain only typically occurs on 1 out of every 10 days, what is the probability that it will rain today and ruin your picnic

Answers

Answer:

0.25 = 25% probability that it will rain today and ruin your picnic

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Cloudy skies

Event B: Rain

20% of all days start with clouds in the air

This means that [tex]P(A) = 0.2[/tex]

50% of rainy days start with rain clouds in the air

50% of 10%. So

[tex]P(A \cap B) = 0.5*0.1 = 0.05[/tex]

What is the probability that it will rain today and ruin your picnic

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.05}{0.2} = 0.25[/tex]

0.25 = 25% probability that it will rain today and ruin your picnic

NEED HELP ASAP!!!Of all the students who tried out for volleyball, 83% made the team what fraction of the students who tried out did NOT make the team?

Answers
4/5
1/5
3/4
1/3

Answers

Answer:I think it’s 1/5 but if u have another attemp and it’s wrong somehow do 1/3

Step-by-step explanation:

Answer:

3/4 or 1/3

Step-by-step explanation:

Help me pls pls pls

Answers

Expo. Pls I don’t understand the picture
It will take exactly 18 minutes

A, B, C and D form the vertices of a parallelogram
AD = 10.3cm, AB = 15.5cm and BAD = 63°
Find the area of the parallelogram. Round to 1 DP

The diagram is not drawn accurately.​

Answers

AB=8.7 cm. Work out the length of BC. ... 1. Adi. Diagram NOT accurately drawn. POR is a triangle. Angle Q = 90° ... Give your answer correct to 1 decimal place. ton o. Ady ... Ad. POR is a right-angled triangle. PR = 12 cm. OR = 4.5 cm. Angle PRO = 90°. ... AB= 7 cm. BC = 12 cm. Angle BAD= 65°. Calculate the length of AC.

I need help in my really struggle in math ​

Answers

Answer:

.

Step-by-step explanation:

.

Answer:

tell me a problen and I will help you solve it

Step-by-step explanation:

habitantes de dos pequenas comunidades harán una obra de drenaje que
beneficia a todos. El costo de los materiales necesarios asciende a 360,000.00
Se decidió que las aportaciones sean proporcionales al numero de habitantes de
da comunidad. En la comunidad A hay 120 habitantes; en la comunidad B 240
y en la comunidad C 360

¿Con cuánto debe cooperar cada comunidad?

¿Cuál es la aportación por persona en las tres comunidades?​

Answers

Answer:

La Comunidad A deberá aportar $60,000, la Comunidad B deberá aportar $120,000 y la Comunidad C deberá aportar $180,000. Cada Comunidad aportará $500 por persona.

Step-by-step explanation:

Dado que la obra de drenaje tiene un costo de materiales de $360,000, y que dicho costo será soportado por cada comunidad en proporción a sus habitantes, sabiendo que en la comunidad A hay 120 habitantes; en la comunidad B 240 y en la comunidad C 360, para determinar con cuánto dinero debe cooperar cada una se debe realizar el siguiente cálculo:

120 + 240 + 360 = 720

C = 1/2 x 360,000 = 180,000

B = 1/3 x 360,000 = 120,000

A = 1/6 x 360,000 = 60,000

Así, la Comunidad A deberá aportar $60,000, la Comunidad B deberá aportar $120,000 y la Comunidad C deberá aportar $180,000.

A su vez, la aportación por persona en las tres comunidades surge del siguiente cálculo:

360,000 / 720 = 500

Así, cada comunidad aportará $500 por persona.

How are 4.730 and 4.73 eqivalent

Answers

Because the zero is in both equations but just not written as a zero, there is an invisible zero in 4.73.

A baseball and a bat cost 110 dollars. If the bat costs 100 more dollars than the ball, is much does the ball cost

Answers

Answer:

$10

Step-by-step explanation:

So the total amount of money needed is $110

And the bat is $100 more than the ball

So basically subtract $100 from $110

And you get $10 So the answer is $10

Can someone help me please answer my question.
Answers
A.6 inches
B.8 inches
C.10 inches
D.12 inches

Answers

The answer Is C. 10 inches
Answer: 6 inches

Step-by-step explanation:
volume of a rectangular prism is V=LWH
L is length and that is 20
W is width and that is 20
H is height and that is 6
The reason that L and W are 20 is because you would multiply those to get the base, and the base is already given, 400.
Since you know the volume is 2,400, a quick trick is that you divide 2,400/400. That equals 6.
So 20 x 20 x 6 = 2400

486.664946274 + 541.24664245567 =

Answers

1027.91158873


jdndjdbbdkdkdjddn

Answer:

the answer is 1027.91159


You use a 40% off coupon followed by a 30% off coupon. is that
this is the same as a 70% off coupon. Explain

Answers

Answer:

Yes since 40+30=70 so it would be the same

Step-by-step explanation:

Help now plsssssssssssssssssssssss

Answers

Answer:

Your answer is 5009.2

Upvote it. Welcome

Answer:

5009,206

Step-by-step explanation:

Hope this helped!

Evaluate 3(c + d) if c = 8 and d = -5

Answers

Substitution time :D

c = 8

d = -5


All you have to do is replace the variables(letters) with the numbers!


3(8 + (-5))

Do parentheses first! And remember that adding a negative is the same as subtracting :)

3(3) = 9

A paper company produces 2,985 notebooks in 3 days. How many notebooks can it produce in 11 days?

Answers

Answer:

10080

Step-by-step explanation:

2985÷3=995×11=10080

Answer:

It can produce 32,835 in 11 days.

Step-by-step explanation:

2,985 x 3 =  8,955

2,985 x 3 = 8,955

2,985 x 3 = 8,955

If you add another three, that'll  be 12, so, we'll multiply 2,985 x 2.

2, 985 x 2 = 5,970

Now, Add all of those 4 numbers together,

8,955 + 8,955 + 8,955 + 5,970 = 32,835

2. "The quotient of a number and 4"

Answers

Answer:

Step-by-step explanation:

let n= number, the quotient of a number and 4 is

n/4

To investigate whether or not sending text messages while driving impacts driving ability, we had 100 participants (50 men and 50 women) drive an obstacle course under one of the following conditions: 1) no texting while driving, 2) sending five text messages while driving, or 3) sending 10 text messages while driving. We measured the accuracy with which the subjects drove the obstacle course from a scale of 1 to 10 (1 = poor and 10 = excellent).We are testing the effect of sending text messages at three different _____.

a. treatments
b. levels
c. factors
d. None of the above

Answers

Answer:

A - treatments

Step-by-step explanation:

We are told the 100 participants were required to drive under 1 of the 3 conditions below which are;

- no texting while driving.

- sending five text messages while driving

- sending 10 text messages while driving

In experimental a research, these 3 conditions are referred to as treatments because they are used to derive an experimental result.

answer please quick its due

Answers

Answer:

a

Step-by-step explanation:

Y=1/3x+14 in point slope form

Answers

Answer:

ok so.. whats the question?

Step-by-step explanation:

Answer:

y = 1/3x + 14

Step-by-step explanation:

The REASON THAT IS AN SLOPE INTERCEPT FORM IS BECAUSE IT IS ALREADY IN SLOPE INTERCEPT FORM.

Jane cloaked in to world on Tuesday at 7:30 am and went to her lunch at 11:30 am. She returned from her lunch break at 12:30 pm and clocked out of work for the day at 4:00pm. How many hours did she work on Tuesday?

Answers

Answer:

7 hours 30 minutes

Step-by-step explanation:

Jane clocks into work at 7:30 and goes to lunch at 11:30. (4 hours)

4 hours so far.

takes 1 hour break and returns for 12:30.

She finishes at 4. Time from 12:30 to 4 is (3h30)

3h30 + 4 = 7h30m

Check yourself ^

Pls help me I will give brainliest

Answers

Answer:

Step-by-step explanation:

a^8/c

Answer:

a8

b

10

/c

a^8/c

Step-by-step explanation:

Can I pls get the Brainlist

Randy bought 3 identical shirts and paid a sales tax of $2.84. The total cost was $50.18. What was the cost of each shirt?

Answers

Answer:

$15.78

Step-by-step explanation:

I) Remove tax:

$50.18 - $2.84 = $47.34

II) Construct an equation to find the cost of each shirt:

47.34 = 3s

III) Solve:

Divide each side by 3:

15.78 = s

Each shirt costed $15.78

Answer:

15.78

Step-by-step explanation:

What is the slope of a line that passes through the points (-3, 2) and (-6, 5)?
A. -3
B. -1
C. 1/3
D. 1

Answers

the answer will be c

(8x^2 – 7x – 2) – (6x^2 – x + 3)​

Answers

Answer: = -2x-5

Step-by-step explanation:

A research group is interested in gauging perceptions about health club memberships among health club members. Specifically, they wish to determine the percentage of monthly paying members in the United States that believe health club memberships are not too expensive. They listed the members of the health club located nearby in alphabetical order and took every tenth member until they succeeded in contacting 150 members. What kind of sampling method have they used? Choose the correct answer below.
A. Cluster sampling
B. Multistage sampling
C. Stratified random sampling
D. Systematic sampling

Answers

Answer:

D. Systematic sampling

Step-by-step explanation:

Systematic sampling is a type of probability sampling method in which sample members of a large population are selected according to a random starting position and a constant, periodic interval. This interval, called the sample interval, is calculated by dividing the population size by the desired sample size.so correct option is D. Systematic sampling .

Which of the following statements is true?


4 x 23 is less than 23, since 23 is less than 1.

4 x 34 is greater than 34, since 4 is greater than 1.

4 x 44 is equal to 1, since 44 is equal to 1.

4 x 65 is less than 4, since 65is less than 1.

Answers

Answer:

4 x 34 is greater than 34, since 4 is greater than 1.

Answer:

4 x 34 is greater than 34, since 4 is greater than 1.

Step-by-step explanation:

The population of a community is known to increase at a rate proportional to the number of people present at time t. If an initial population P0 has doubled in 3 years, how long will it take to triple? (Round your answer to one decimal place.)

Answers

Answer:

4.75 years are required to triple the population

Step-by-step explanation:

As we know

[tex]\frac{dP}{dt} = P\\[/tex]

Integrating both the side with respect to t we get

[tex]ln P = kt + c_1\\P = e^{kt + c_1}\\P = Ce^{kt}[/tex]

At t = 0, P = P0

[tex]2 P_0 = P_0 * e ^{3k}\\2 = e ^{3k}\\ln 2 = 3k\\k = 0.231\\[/tex]

substituting K value in main equation, we get -

[tex]P = P_0 * e^{0.231 * t}\\3P_0 = P_0 * e^{0.231 * t}\\3 = e^{0.231 * t}\\ln 3 = 0.231 * t\\t = 4.75[/tex]

4.75 years are required to triple the population

36 : 52 = __:__
a) 18:26
b) 2:3
d) 2:2
d 9:13

Answers

The answer to the following question is letter D
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