A quadrilateral is dilated by a scale factor of 2. It's original side measures are 7, 14, 21, and 28.

After dilation, the new side measures are ?

Answers

Answer 1
I believe the new side measures are 14, 28, 42, and 56

Related Questions

Given the triangle below, what is m 2A, rounded to the nearest tenth?
B
18
11
309
A
C
Triangle not drawn to scale
A. 17.8
OB. 20.4
O C. 24.2
D. 26.8

Answers

9514 1404 393

Answer:

  A.  17.8°

Step-by-step explanation:

We have an angle and an opposite side, so we can use the law of sines to find the angle of interest.

  sin(A)/a = sin(C)/c

  A = arcsin(a/c·sin(C)) = arcsin(11/18·1/2) = arcsin(11/36)

  A ≈ 17.7916° ≈ 17.8°

What is the range for the following set of numbers?57, -5, 11, 39, 56, 82, -2, 11, 64, 18, 37, 15, 68

Answers

The range= the highest number - the lowest number

so

82-(-2)

=84

then ur answer is 84

What is the value of the expression 10(n-6) when 4=14

Answers

Answer:

it's going to be 4n so its going to be 4...

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

Assuming you meant when n=14

10(n-6)

plug in 14 for n

10(14-6)

work out parenthesis first

10(8)=

80

Abu is trying to decide which pet–sitting service he wants to use . Your Pets charges a $15 fee, plus $1 .75 per hour . Sit Pets charges an $11 fee, plus $2 .25 per hour . At how many hours will both services ...

Answers

Answer:I did not see the entire question but is assuming the question is asking how many hours for both services to cost the same.

Your Pets Cost =15+1.75x

Sit Pets Cost =11+2.25x

set both equations equal to each other

15+1.75x=11+2.25x

15-11 = (2.25-1.75)x

4=0.5x

x=8

Step-by-step explanation:

Use the​ Gauss-Jordan method to solve the system of equations. If the system has infinitely many​ solutions, give the solution with z arbitrary

Answers

Write each equation in standard form:

3x + y + 3z = 11

x + 2y + z = 7

-x + y + z = 0

In matrix form, this is

[tex]\begin{bmatrix}3&1&3\\1&2&1\\-1&1&1\end{bmatrix}\begin{bmatrix}x\\y\\z\end{bmatrix}=\begin{bmatrix}11\\7\\0\end{bmatrix}[/tex]

and in augmented matrix form,

[tex]\left[\begin{array}{ccc|c}3&1&3&11\\1&2&1&7\\-1&1&1&0\end{bmatrix}\right][/tex]

Now for the row operations:

• Add row 1 to -3 (row 2), and add row 1 to 3 (row 3):

[tex]\left[\begin{array}{ccc|c}3&1&3&11\\0&-5&0&-10\\0&4&6&11\end{bmatrix}\right][/tex]

• Multiply row 2 by -1/5:

[tex]\left[\begin{array}{ccc|c}3&1&3&11\\0&1&0&2\\0&4&6&11\end{bmatrix}\right][/tex]

• Add -4 (row 2) to row 3:

[tex]\left[\begin{array}{ccc|c}3&1&3&11\\0&1&0&2\\0&0&6&3\end{bmatrix}\right][/tex]

• Multiply row 3 by 1/6:

[tex]\left[\begin{array}{ccc|c}3&1&3&11\\0&1&0&2\\0&0&1&\frac12\end{bmatrix}\right][/tex]

• Add -1 (row 2) and -3 (row 3) to row 1:

[tex]\left[\begin{array}{ccc|c}3&0&0&\frac{15}2\\0&1&0&2\\0&0&1&\frac12\end{bmatrix}\right][/tex]

• Mutiply row 1 by 1/3:

[tex]\left[\begin{array}{ccc|c}1&0&0&\frac52\\0&1&0&2\\0&0&1&\frac12\end{bmatrix}\right][/tex]

Then the solution to the system is (x, y, z) = (5/2, 2, 1/2).

what is the completely factored form of this expression?

y^2-12y+32

a.(y+4)(y+8)
b.(y-4)(y-8)
c.(y+18)(y+2)
d.(y-18)(y-2)

Answers

(y-4)(y-8)
Because
-4-8=-12
-4*-8=32

Answer:

[tex]y^2-12y+32[/tex]

[tex]=(x - 4)(x - 8)[/tex]

------------------------

Hope it helps...

Have a great day!!

Write the equation of the line in point-slope form given the information:

Slope = -1/5

Y intercept = -3

Answers

point slope form:

y + 3= -1/5 x (x+0)

Step-by-step explanation:

-use the point slope form equation: y - y1 = m (x - x1).

-using the given information we know that m = -1/5 and that the y intercept is (0,-3).

- y and x will be kept as a variable.

-plug in the y1 and x1 from the y intercept:

y + 3 = m(x + 0)

-once you've plugged in the y intercept then plug in the slope which gives you the answer:

y + 3= -1/5 x (x+0)

If 400 patrons visit the park in March and 550 patrons visit in April, the total number of patrons who
visited the park over the two months falls into all of the following categories except
O real numbers
O rational numbers
o irrational numbers

Answers

950 is a real number, and it is a rational number since it can be expressed as 950/1. Therefore, it falls into all of the categories expect irrational numbers.

Matt buys a new fish tank. The fish tank is in the shape of a cuboid. The diagram shows water in the tank. 30 cm 30 cm 100 cm Matt knows 1000 cm' = 1 litre 1 gallons = 4.5 litres He can keep 2 small fish in the tank for every 1 gallon of water in the tank. Matt thinks he can keep more than 36 small fish in the tank. Is Matt correct?​

Answers

Answer: Yes, but only if he houses 37, 38, 39, or 40 fish

Anything larger than 40 and he'll need more room.

==========================================================

Explanation:

The tank is 30 cm by 30 cm by 100 cm. The volume is 30*30*100 = 90,000 cm^3 which is shorthand for "cubic centimeters".

We're told that 1000 cm^3 = 1 liter, which means the 90,000 cm^3 converts to (90,000)/(1000) = 90 liters.

The fish tank is 90 liters.

Since 1 gallon = 4.5 liters, this means the 90 liter tank converts to 90/(4.5) = 20 gallons

----------------------------

Your teacher mentions "He can keep 2 small fish for every 1 gallon".

Since the tank is 20 gallons, that means he can keep 20*2 = 40 fish. This value is larger than 36, so Matt is correct to a point. If Matt is thinking 37, 38, 39, or 40 fish then he would be correct. If Matt is wanting more than 40 fish, then he'll need a bigger tank.

In short, he can't have any number over 36 and can only have 4 specific values (the four values mentioned earlier).

So technically, Matt is correct, but strong clarification is needed.

Solve and check
y − 5 = −5​

Answers

Answer:

Its -0

Step-by-step explanation:

-0-5=-5

Hope thia helps I believe its right check on a calculator

Answer question below

Answers

Answer:

edge of cube = root 13.5/6 = 1.5

volume of cube = (Edge of cube)^3= (1.5)^3 = 3.37500 m^3

How would I find the area of this?

Answers

Answer:

Read below v

Step-by-step explanation:

First you would find the area of the semi circle by turning it into a circle and then dividing your answer by two. Then you would find the area of the triangles.

Answer:

26.13 [tex]ft^{2}[/tex]

Step-by-step explanation:

Half circle :

Area of a circle = [tex]\pi r^{2}[/tex]

A = 3.14 ([tex]3^{2}[/tex]) = 9(3.14) = 28.26

That's a full circle. We want half. Divide by 2 = 14.13

Triangles. Both are same.

A = [tex]\frac{(b)(h)}{2}[/tex] = [tex]\frac{(3)(4)}{2}[/tex] = [tex]\frac{12}{2}[/tex] = 6

There are two of them, so area of triangles is 12

12 + 14.13 = 26.13

4. Five cards are randomly chosen from a deck of 52 (13 denominations with 4 suits). a. How many ways are there to receive 5 cards from a deck of 52

Answers

Answer:

There are 2,598,960 ways to receive 5 cards from a deck of 52.

Step-by-step explanation:

The order in which the cards are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

a. How many ways are there to receive 5 cards from a deck of 52?

[tex]C_{52,5} = \frac{52!}{5!(47)!} = 2598960[/tex]

There are 2,598,960 ways to receive 5 cards from a deck of 52.

A class of 24 students is planning a field trip to a science museum. A nonrefundable deposit of $50 is required for the day-long program, plus a charge of $4.50 per student.

Determine a linear function that models the cost, c, and the number of students, s.

Answers

Answer:

c = 4.50s + 50

Step-by-step explanation:

50 is a flat rate so it is a constant. 4.50 is the charge per student so it would be multiplied by the total number of students s.

Answer:

This is the linear function:   c = 4.5s + 50

This is the cost if all 24 students came along: $158.00

Step-by-step explanation:

C is the total cost, it is $4.50 per student coming, and there is a $50 non refundable deposit for the program. So, if all 24 students came along for the trip, you would do 24 times $4.50 which is $108 and then add the additional $50 for the nonrefundable deposit, making the total $158.

PLEASE PLEASE HELP ASAPPPP IM BEING TIMEDDD

6x2y − 3xy − 24xy2 + 12y2
Rewrite the expression completely factored. Show the steps of your work.

Answers

Answer:

3y(2x-1)(x-4y)

Step-by-step explanation:

Apply exponent rule:

6x^2y-3xy-24xyy+12yy

Rewrite 12 as 4*3

Rewrite -24 as 8*3

Rewrite 6 as 2*3

2*3x^2y-3xy+8*3xyy+4*3yy

Factor out common term 3y:

3y(2x^2-x-8xy+4y)

Factor 2x^2-x-8xy+4y:

3y(2x-1)(x-4y)

Your Answer Is 3y(2x-1)(x-4y)

821) The integon which is 15 more than - 55 is

Answers

Answer:

-40

Step-by-step explanation:

-55 + 15 = x

-40 =x

The diameter of the base is the cone measured 8 units. The height measures 6 units.

What is the volume of the cone?

A) 24 π cubic units

B) 32 π cubic units

C)48 π cubic units

D)64 π cubic units

Answers

The answer is B) 32 cubic units

Blood pressure values are often reported to the nearest 5 mmhg (100, 105, 110, etc.). the actual blood pressure values for nine randomly selected individuals are given below.

108.6 117.4 128.4 120.0 103.7 112.0 98.3 121.5 123.2

Required:
a. What is the median of the reported blood pressure values?
b. Suppose the blood pressure of the second individual is 117.7 rather than 117.4 (a small change in a single value). What is the new median of the reported values?
c. What does this say about the sensitivity of the median to rounding or grouping in the data?

Answers

Answer:

Step-by-step explanation:

Arranging the data in the ascending order:

108.6 98.3 103.7 112 117.4 120 121.5 123.2 128.4

The median is the middle value of the data set:

a)

Hence,

median = 117.4

b)

When the value of blood pressure is 117.7 instead of 117.4 then the median will be:

Median = 117.7

c)

This indicates that the median of a well sorted set of data is depends upon the middle value of the data set.

Solve the inequality (help please)

Answers

Answer:

v<1 23/25

Step-by-step explanation:

The inequality simplifies to 48/25, which is equivalent to 1 23/25.

Find the product of these complex numbers.
(8 + 5)(6 + 3) =

Answers

The Answer is D, 33+54i!
Answer:

D

Step-by-step explanation:

For this kind of stuff, we’ll need to use the FOIL Method. Basically start with the Firsts, Outers, Inners and Lasts.

(8 + 5i) (6 + 3i) =

Multiply 8 x 6

Answer: 48

Multiply 5i x 3i

Answer: 15i^2

Multiply 5i x 6

Answer: 30i

Multiply 8 x 3i

Answer: 24i

Then add 30i + 24i = 54i
Finally subtract 48 - 15 = 33

Final Answer: 33 + 54i

A rocket is fired upward with an initial velocity v of 80 meters per second. The quadratic function S(t)=−5t2+80t can be used to find the height s of the​ rocket, in​ meters, at any time t in seconds. Find the height of the rocket 8 seconds after it takes off. During the course of its​ flight, after how many seconds will the rocket be at a height of 270 ​meters?

Answers

9514 1404 393

Answer:

  a) 320 m

  b) 4.838 seconds, or 11.162 seconds

Step-by-step explanation:

a) S(8) = -5(8^2) +80(8) = -320 +640 = 320

The height 8 seconds after takeoff will be 320 meters.

__

b) S(t) = 270

  270 = -5t^2 +80t

  -54 = t^2 -16t . . . . . . divide by -5

  10 = t^2 -16t +64 . . . . add 64

  ±√10 = t -8 . . . . . . . . . . take the square root

  t = 8 ±√10 ≈ {4.838, 11.162}

The rocket will be at a height of 270 meters at 4.838 and 11.162 seconds after takeoff.

Which equation is equivalent to
1
3
= 27X+22
O 3*-3-3x+2
O 3* = 33x+6
O 3-* - 33x+2
O 3-* = 33x+6

Answers

Answer:

[tex]3^{-x} = 3^{3x + 6}[/tex]

Step-by-step explanation:

Required

Which is equivalent to [tex](\frac{1}{3})^x = 27^{x + 2}[/tex]

Express base as 3

[tex](3^{-1})^x = 3^3^{x + 2}[/tex]

Open brackets

[tex]3^{-x} = 3^{3x + 6}[/tex]

a recent survey shows that 16% of college students have dogs and 38% have an HBO subscription. assuming these two events are independent, what is the probability that a randomly selected college student has neither a dog nor HBO

Answers

Answer: [tex]0.939\ or\ 93.9\%[/tex]

Step-by-step explanation:

Given

Survey shows that 16% of college students have dogs and 38% have HBO subscription

Probability that a random person have both is

[tex]\Rightarrow P_o=0.16\times 0.38\quad [\text{As both events are independent}]\\\Rightarrow P_o=0.0608[/tex]

The probability that the random person has neither of the two is

[tex]\Rightarrow P=1-P_o\\\Rightarrow P=1-0.0608\\\Rightarrow P=0.939[/tex]

I need help:/ I’m in college

Answers

Step-by-step explanation:

Amount of acid = 14.9% of 331 mL solution

= 0.149×(331 mL)

= 49.3 mL acid

Two planes are the same altitude. From the airport , one plane is 50 km away in the direction of N°60 E and another is 80 km away in the direction of S50° E .How far apart are the two planes

Answers

9514 1404 393

Answer:

  78.5 km

Step-by-step explanation:

Measured at the airport, the angle between the two planes is ...

  180° -60° -50° = 70°

The law of cosines tells us the distance between the planes is ...

  d = √(50² +80² -2·50·80·cos(70°)) ≈ √6163.84 ≈ 78.5 . . . km

The planes are about 78.5 km apart.

Y
X

Pls help me you’ll get 29 points

Answers

Answer:

x = 60

Step-by-step explanation:

The sum of the angles of a triangle add to 180

x+x+x = 180

3x = 180

Divide by 3

3x/3 =180/3

x = 60

If someone knows the answer that will be greatly appreciated :)

Answers

[tex]a. \: 8 = 2 + 2a \: and \: 3 = a[/tex]

Step-by-step explanation:

Set up equation as we know both weights are equal.Subtract two from both sides and divide by 2 to isolate the variable a.3 = a

Classify the type of angle.
A: Acute
B: Right
C: Straight
D: Obtuse

Answers

Answer:

Obtuse

Step-by-step explanation:

I really don’t know which angle they’re asking for because the 140 degree angle is obtuse and the 40 degree angle is acute

Answer:

obtuse angle that's the answer

900 d 180 nd the SP when: CP = Rs. 950, gain = 6 1%4 ​

Answers

Respuesta:

????????????,,,???

Step-by-step explanation:

THERE ARE STEPS TO THIS

Help me with this please!!

Answers

Answer:

[tex]y=\sqrt{x} -2[/tex]

Step-by-step explanation:

If you were to replace x with 0 in each of the equations, you would get

from top to bottom choices:

[tex]\sqrt{2}[/tex]

[tex]\sqrt{-2}[/tex]

2

-2

Since we can see that the line touches the y-axis on the number -2, we know that it is the last choice that is the answer

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