Select the correct answer.
The perimeter of a triangle is 30 units. If it is dilated with respect to origin by a scale factor of 0.5, what is the perimeter of the resulting triangle?

A. 30 units

B. 20 units

C. 15 units

D. 7.5 units

Answers

Answer 1

Answer:

15 unites

Step-by-step explanation:

Given:

perimeter = 30 units

scale factor = 0.5

30 units * 0.50 = 15 units

The perimeter of the resulting triangle is 15 units.

Answer 2

The perimeter of the dilated triangle will be, 15 units.

What is dilation?

Dilation means changing the size of an object without changing its shape.

Given that, The perimeter of a triangle is 30 units. If it is dilated with respect to origin by a scale factor of 0.5, we need to find the perimeter of the resulting triangle,

Since, the triangle is with respect to origin by a scale factor of 0.5,

Therefore, the perimeter of the original triangle will be reduced by 0.5 units,

The perimeter of dilated triangle = 30 x 0.5 = 15

Hence, the perimeter of the dilated triangle will be, 15 units.

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Related Questions

Give f(x) = 10 - 2x , find f(7)

Answers

Answer:

f(7)=-4

Step-by-step explanation:

f(7)=10-2(7)

f(7)=-4

Answer:

-4

Step-by-step explanation:

f(7)=10-2(7)

f(7)= 10-14

f(7)= -4

Please help!! Jim prepared 48 kilograms of dough after working 6 hours. How much dough did Jim prepare if he worked for 9 hours? Solve using unit rates.

Answers

I believe the answer is 72 kilograms !

4 3/4 + ½ - 2 ⅚= cause i need help

Answers

Answer:

2 and 5/12

Step-by-step explanation:

Graph the line with the equation y = 1/5x-2.
3 4 5 6 7 8 9 10

Answers

Answer:

graph as seen below :)

Step-by-step explanation:

when graphing an algebraic equation, it is important to remember mx+b and what it stands for. m is the variable used to describe the slope and when in the form of a fraction is rise over run/vertical over horizontal/up over side/etc. so for this one, start at the y-intercept (0,-2) and go up 1, over 5, then plot that point. then continue the pattern for you graph and do the same backwards so you go down 1 and to the left 5. x is the variable that normally stays a variable in the equation. and finally, b is the y-intercept, so when the line passes through a point where x = 0 (that part is normally confusing form me cuz its the y-intercept so just think of it as when the point is on the y axis). then, you can plot points to make the graph shown below. sorry the graph is kinda trash but you can see that when you go over 5 you go up one.

if you have any questions make sure to comment so that i can clarify anything thats a little silly or confuzzling :)

I hope this helped :))

Identify the constant of proportionality.

y=22x

Answers

Answer:

11

Step-by-step explanation:

The constant of proportionality is 22.

What is Constant of proportionality?

The proportionality constant is the constant value of the ratio of two proportional quantities. When the ratio or product of two changing quantities generates a constant, they are said to be in a proportionate relationship. The proportionality constant's value is determined by the type of proportion between the two specified quantities: direct variation or inverse variation.

We have the equation is

y = 22 x

As, we know that from direct proportion as

y α x

y= k x

where k is constant of proportion

So, y= 22 x gives k =22

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Please look at the picture this is due tonight will give brainliest !!

Answers

Answer:

A'(-3,-2) B'(-1,-4) C'(-5,-3)

Step-by-step explanation:

im pretty sure that's right

hopes this helps

Answer:

[tex]A( - 2, \: 3) = > A'( 2, \: - 3) \\ B( - 4, \: 1) = > B'( 4, \: - 1) \\ C( - 3,\: 5) = > C'( 3, \: - 5)

[/tex]

'

can anyone help with this to say which of the words at the bottom go for the box if its correct for brainliest

Answers

The last one is congruent because both sides are the same

7.93 repeating as a mixed number in simplest form

Answers

7 93/100. That’s the mixed number

Which statement is true?

Answers

A, apologies if I got this wrong

A new health drink has ​180% of the recommended daily allowance​ (RDA) for a certain vitamin. The RDA for this vitamin is 40 mg. How many milligrams of the vitamin are in the​ drink?

Answers

Answer:

72 mg of vitamin are in the drink

Step-by-step explanation:

The drink has 180% of the RDA

And the RDA is 40 mg

The number of milligrams present in the drink will be;

180% of 40 mg

= 180/100 * 40 = 180/2.5 = 72g

Tina is 2, Shirley is 2, and Andrea is 3. How old is Anastasia?

Answers

it may be 3 since it’s a pattern

Anastasia's age from the pattern will be 3 years.

What is a logical pattern?

Logical relationships like and, or, and are not being used to correlate events that arrive in chronological sequence.

In mathematics, reasoning is the process of applying logical reasoning to a situation in order to determine the best approach to solve a problem provided, and then utilizing this approach to build and describe a solution.

Given that the pattern of the age is Tina is 2, Shirley is 2, and Andrea is 3.

From the pattern, Anastasia's age would be 3 years.

Hence, Anastasia's age from the pattern will be 3 years.

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A satellite dish is the shape of a paraboloid. The dish is 30
inches wide, and 10 inches deep. How many inches should
the receiver be located from the vertex for optimal reception?
(round to the nearest thousandth)
Receiver •

Answers

Answer:

The receiver should be located at (0, 5.625)

Step-by-step explanation:

The given parameters are;

The width of the satellite dish = 30 inches

The depth of the dish = 10 inches

The receiver should be located at the focus of the parabola

Where the vertex of a parabola is (0, 0)

The equation of an upward or downward facing parabola is x² = 4·p·y

The focus of the parabola = (0, p)

The directrix is given by y = -p

The axis is the x-axis

Therefore, given that the width = 30 inches and the depth = 30 inches, we have;

The points (-15, 10), (15, 10), and (0, 0) (which is the vertex) on the parabola

Substituting, the coordinates into the equation of the parabola gives;

(-15)² = 4 × p × 10

p = (-15)²/(4 × 10) = 5.625

The coordinate of the focus = (0, 5.625)

Therefore, the receiver should be located at (0, 5.625).

The distance that the receiver should be located from the vertex to receive optimal reception is;

5.625 inches above the vertex

We are given;

Width of the satellite dish = 30 inches

Depth of the satellite dish = 10 inches

Vertex of parabola is at (0, 0)

If we imagine a parabola that has its vertex located at the origin, the symmetry of the parabola will make us know that the depth  is the height which in this case is 10 inches while the edge is 15 inches (1/2 of 30 inches) to both right and left sides of the axis of symmetry.

Thus, we can say that this parabola passes through the point (15, 10).

Now, the conic form of a parabola with its vertex at the origin is given by the formula; y = (1/4c)x²

where c is the distance between the focus and the vertex.

Plugging in the relevant values gives;

10 =  (1/4c)(15)²

4c = 225/10

4c = 22.5

c = 22.5/4

c = 5.625

Thus, the receiver should be located at 5.625 inches above the vertex so for optimal reception.

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through (-5,-1) with a slope = 2/5

Answers

Answer:

Y = 2/5x + 1

Step-by-step explanation:

I'm not sure if you were trying to find slope intercept since u didnt specify

​It takes 21 minutes for a certain population of bacteria to double. ​If there are approximately 8,014,000 bacteria in this population at ​10 a.M., what is the best estimate, in millions, of the number of ​bacteria at 10:42 a.M. On the same day? ​​

Answers

Answer:

32 million

Step-by-step explanation:

Given that:

Time it takes population to double = 21 minutes

Number of bacteria at 10a.m = 8,014,000

Best estimate of bacteria at 10:42

Difference :

10:42 - 10:00 = 42 minutes

42/ 21 = 2 times

Hence it doubles 2 times within the time range :

At 10:21 minutes :

8,014,000 * 2 = 16,028,000

At 10:42 minutes :

16,028,000 * 2 = 32,056,000

Best estimate is 32 million

NEED HELP MARK Brainliest????

Answers

Answer: 1:3 is the constant proptortionality.

Answer:

3

Step-by-step explanation:

If y is directly proportional to x

y = kx

k is the constant of proportionality

k = y/x

From the allocated point

y = 3 and x = 1

k = 3/1 = 3

Regroup to express the number in a different way.

7 ten thousands+3 thousands+2 hundreds+5 tens
7 ten thousands+3 thousands+1 hundred+★ tens
​ what does the star equal?

Answers

The star is equal to 15

Neko made a triangular flag shown below. He wanted to attach it to the stick and then trim off the extra fabric so the flag would form an
isosceles triangle. By how many degrees was he off when he attached the triangle to the stick?

Answers

Answer:

Pretty sure its A

Step-by-step explanation:

Neko's flag ended with a triangle having 62 and 86 degrees as base angles because the stick was 12 degrees out of alignment from the proper position (both angles are 74 degrees each) - Option A

Recall:

Isosceles triangle is a triangle having two congruent base angles and two equal sides.

Thus:

In the base angles of the triangle formed by the flag with the stick are as follows:

180 - 118 = 62 degrees (linear pair)

180 - (62 + 32) = 86 degrees. (sum of triangles)

Neko ended up having a flag that has 62 and 86 degrees base angles.

For both angles to be equal, we would have the following:

62 + 12 = 74 degrees86 - 12 = 74 degrees

In conclusion, Neko's flag ended with a triangle having 62 and 86 degrees as base angles because the stick was 12 degrees out of alignment from the proper position (both angles are 74 degrees each) - Option A

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Write a number that makes this equation true. 4\text{ hundreds} =4 hundreds=4, start text, space, h, u, n, d, r, e, d, s, end text, equals \text{ones}onesstart text, o, n, e, s, end text

Answers

Answer:

hundreds = 1, for the equation to be true.

Step-by-step explanation:

Given an equation:

[tex]\frac{4}{hundreds}[/tex] = 4 hundreds = 4

For this equation to be true, hundreds should be represented by a minimum value.

This implies that, hundreds can not be represented by a number which equal zero, less than or greater than 1. Therefore, hundreds = 1.

So that;

[tex]\frac{4}{1}[/tex] = 4 x 1 = 4

⇒ 4 = 4 = 4

Thus, a true expression.

For the given equation to be true, hundreds must be equal to 1.

E.g: [tex]\frac{100}{hundreds}[/tex] = 100 hundreds = 100

For this equation to be true, hundreds = 1.

So that;

[tex]\frac{100}{1}[/tex] = 100 x 1 = 100

⇒ 100 = 100  = 100

Answer: 400

Step-by-step explanation:

40 times 10 is 400

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Answers

answer:

"afdfadadsadadafdfadadsadadafdfadadsadadafdfadadsadadafdfadadsadadafdfadadsadadafdfadadsadadafdfadadsadad" is not a question, thanks for the free points though!

explanation:

hope this helped <3 also if wouldn't mind could you pls give me brainliest? (im trying to level up) thanks! :)

If Logan eats his vegetables, then he can have a bowl of ice cream. Logan eats his vegetables. conclusion

Answers

Answer:

Logan better eat his vegetables

Step-by-step explanation:

You have a coupon for 10% off your total. You bill comes to $59.12. How much is your bill after you use the coupon?

Answers

Answer:

$53.21

Step-by-step explanation:

If 10% comes off of the 100% that we would have paid originally, that means we're just paying 90%. That means we've to calculate:

$59.12 * 90% =

$59.12 * .9 =

$53.208.

Because you don't really pay anything past the hundredths place, we can just round the 8 up to get: $53.21

Answer:

$53.21

Step-by-step explanation:

You have a 10% discount so .10 times your total is the discount:

.10 x 59.12 = 5.912

Now, subtract $5.91 from the the total to get the price after a coupon (rounded to 5.91 because cents don't go into the thousandths place):

$59.12 - $5.91

= $53.21

So, your bill is $53.21 after the coupon is used

HURRY!!!!!!!
Tickets for a celebrity golf tournament were sold before the tournament and on the day of the tournament. After reviewing
ticket sales, the tournament director found that 150 fewer tickets were purchased on the day of the tournament than
before the tournament. A total of 898 tickets were sold. How many tickets were sold on the day of the tournament?

Answers

374 on the day of the tournament. 524 before the tournament.

Tickets sold on the day of the tournament are 374.

Suppose tickets sold before the tournament =x

So, tickets sold on the day of the tournament = x-150

What is an equation?

An equation is a statement that equates to two statements.

According to the question, the total number of tickets sold is 898.

[tex]x+(x-150)=898[/tex]

[tex]2x-150=898[/tex]

[tex]2x=1048[/tex]

[tex]x=524[/tex]

Tickets sold before the tournament =524

So, Tickets sold on the day of the tournament =524-150 = 374

Hence,  Tickets sold on the day of the tournament are 374.

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Which combinations of transformations will always produce congruent figures? Check all that apply.
O a dilation, followed by a rotation
O a reflection, followed by a dilation
O a rotation, followed by a translation
a translation, then a rotation, followed by a stretch
O a translation, followed by two reflections
ers/FrameChain/Activity:

Answers

Answer: rotation, followed by a translation

O a translation, followed by two reflections

Step-by-step explanation:

The answer is C and E.

A: a dilation, followed by a rotation

B: a reflection, followed by a dilation

C: a rotation, followed by a translation

D: a translation, then a rotation, followed by a stretch

E: a translation, followed by two reflections

List the intervals on which f is increasing.

Answers

Answer:

-7<x<7

Step-by-step explanation:

Sarah is changing her refuse (garbage) service. “Junk Bunker” charges a one time start-up fee of $300 plus $20 per month. “Junk in the Trunk” charges no start-up fee but charges $35 per month. Write an equation to determine when the two companies would cost the same.

Answers

Answer:

300 + 20x = 35x

Step-by-step explanation:

if you need to know how many months it is when the prices are even the answer is 20

Answer:

esxcdrfvtgbhyjnkmlmjnhbgvtfcrdfvgbhnjmk

Step-by-step explanation:

addie has $-5.29 in her account. she puts $25.00 into her account. what is her new amount?

Answers

Answer:

19.71

Step-by-step explanation:

You would add the two values (-5.29) and 25 together

What is f(5) for the function f(x)=-9x-10

Answers

Step-by-step explanation:

In this form, x = 5.

so we'll substitute 5 in for x...

f(5) = -9(5) -10

f(5) = -45 -10

f(5) = -55

essentially saying, when x = 5, y = -55

PLS HELP ME !!

The blueprint for a house is a shown in the picture. If the front of the house is actually 30 ft wide, how tall is the house?

Answers

Answer: A rich house and a poor house are on fire. Which house will the police tackle first?

Step-by-step explanation:

Summerville Middle School has 327 students who ride the bus home from school. If each
bus holds 45 students, what is the fewest number of buses the school will need to transport
all of the students?

Answers

Answer:

8

Step-by-step explanation:

327/45=7.26666666667 which if you round it up it equals 8

A group of 20 students are asked to report the number of pets they keep in their house.
The results are
0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 4, 4, 4, 21

•mean: 2.4 pets
• standard deviation: 4.47 pets
• Q1:0.5 pets
• median: 1 pet
• Q3: 2.5 pets

1. Would any of these values be considered outliers? Explain your reasoning.

2. After being told that they should not count any fish in the report, the value of 3
becomes a 2 and the value of 21 becomes 1. Would these changes affect the median,
mean, standard deviation, or interquartile range? If so, would each measure decrease
or increase from their original values?

Answers

Answer: the outlier is 21

Step-by-step explanation:

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