A rectangle has a length of 5 cm and a
width of 4 cm. Every dimension is
tripled to form a second rectangle.
What is the ratio of the areas of the two
rectangles?

Answers

Answer 1

Answer:

1:9

Step-by-step explanation:

First Rectangle:

width x height = area

4 * 5 = 20

Second Rectangle:

(4*3)*(5*3)=x

12 * 15 = 180

Ratio:

180/20 = 90

1:9

Answer 2

Answer:

1:9 or 1/9

Step-by-step explanation:

if a rectangle is 5cm × 4cm

Area of rectangle= length ×width

= 5 × 4

=20cm²

if we triple dimensions of a rectangle we get the second rectangle

therefore, (5×3)cm × (4×3)cm

Area of second rectangle= 12 ×15

=180cm²

ratio is 20/180= 1/9 (Ans.)


Related Questions

Raise 1.00203333 to the negative 360 power

Answers

Answer:0.4813042802

Step-by-step explanation:

Lily walks 2 kilometers during each trip to school. Write an equation that shows the
relationship between the number of trips x and the total distance walked y.

Answers

Answer:

y = 2x

Step-by-step explanation:

Total distance walked = y

Number of trips = x

Lily walks 2 kilometers during each trip to school

Equation that shows the

relationship between the number of trips x and the total distance walked y:

y = 2x

For example, if the number of trips (x) is 3

Total distance walked,y = 2(3)

y = 6 kilometers

If the shorter rectangle is 1 unit long, how many units long is the longer rectangle?

Answers

Answer: 2 units long

Whatever greater than 1 unit

what makes 3+7+2= ? +2 true? HELP

Answers

Answer:

3 + 7 + 2= 12

Step-by-step explanation:

It is made true because the equation adds up to the number. If we take 3+7 it equals to 10. Then we take 10 and add it to 2, which gives us 12.

Hope this helps :)

The value of the missing number x will be 10.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Let the missing number be x. Then the equation can be written as,

3 + 7 + 2 = x + 2

Simplify the equation, then the value of the variable x will be

3 + 7 + 2 = x + 2

3 + 7 + 2 - 2 = x

x = 3 + 7

x = 10

The value of the missing number x will be 10.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

High blood pressure has been identified as a risk factor for heart attacks and strokes. The National Health and Nutrition Examination Survey reported that the proportion of U.S. adults with high blood pressure is 0.3. A sample of 38 U.S. adults is chosen. (a) Is it appropriate to use the normal approximation to find the probability that more than 40% of the people in the sample have high blood pressure? If so, find the probability. If not, explain why not. (b) A new sample of 80 adults is drawn. Find the probability that more than 40% of the people in this sample have high blood pressure. (c) Find the probability that the proportion of individuals in the sample of 80 who have high blood pressure is between 0.23 and 0.32.

Answers

Answer:

The National Health and Nutrition Examination Survey reported that the proportion of U.S. adults with high blood pressure is 0.3. A sample of 38 U.S. adults is chosen. a. Is it appropriate to use the normal approximation

(x+y) (x+y) - (x-y) (x-y)​

Answers

Answer:

4xy

Step-by-step explanation:

(x+y) (x+y) - (x-y) (x-y)​

(x² + xy + xy + y²) - (x² - xy - xy + y²)

(x² + 2xy + y²) - (x² - 2xy + y²)

x² + 2xy + y² - x² + 2xy - y²

x² - x² + 2xy + 2xy + y² - y²

4xy

Answer:

that could literally be anything, as long as the first sum is greater then the second.

example;

(2+4) (3+5) - (6+1) (5+2)

(or, 6+8 = 14, 7+7 = 14, 14 - 14 = 0)

hope this helped :)

Please help! Solve the following:

Answers

Answer:

n=10.

Step-by-step explanation:

[tex]\frac{45}{n^{2}-3n-4 }[/tex] - [tex]\frac{3}{n-4}[/tex] = [tex]\frac{2}{n+1 }[/tex]

[tex]\frac{45}{n^{2}-3n-4 }[/tex] -  [tex]\frac{3(n+1)}{(n+1)(n-4)}[/tex] = [tex]\frac{2(n-4)}{(n+1)(n-4) }[/tex]

[tex]\frac{45}{n^{2}-3n-4 }[/tex] -  [tex]\frac{3n+3}{n^{2} -3x-4}[/tex] = [tex]\frac{2n-8}{n^{2} -3x-4 }[/tex]

45-3n-3=2n-8

45-3+8=5n

n=50/5=10

Justin is 12 years older than Agnes in six years timing Johnson will be twice as old as Agnes how old are they now​

Answers

9514 1404 393

Answer:

Agnes: 6Johnson: 18

Step-by-step explanation:

6 years from now, Johnson will be 12 years older than Agnes and twice her age. That means Agnes will be 12 and Johnson will be 24.

Agnes is 6 now, and Johnson is 18 now.

36 + (12 - 8) + 2 × 5​

Answers

Answer:

50

Step-by-step explanation:

To answer this we need to use the PEMDAS strategy, first solve any questions in parentheses, next solve all multiplication and division problems from left to right. Next, solve all addition and subtraction problems from left to right.

36 + (12 - 8) + 2 × 5​

36 + 4 + 2 x 5

36 + 4 + 10

40 + 10

50

Answer:

[tex]50[/tex]

Step-by-step explanation:

Follow the PEMDAS order of operations:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction.

Calculate the Parentheses- (12-8)

This will equal 4.

[tex]36+4+2x5[/tex]

(x= times)

Multiply and divide, left to right.

[tex]2x5=10[/tex]

[tex]36+4+10=50[/tex]



Look at the drawing of a triangle within a rectangle. The

triangle and the rectangle have the same base, b, and

height, h.

If the area of the triangle is 48 square units, what is the

total area of sections 1 and 2?

square units

) Intro

Answers

Answer:

48 square. Units

Step-by-step explanation:

Given that :

Triangle and rectangle have the same base, b and height, h

AREA of triangle = 0.5 * base * height

48 = 0.5 bh

bh = 0.5 * 48

bh = 96

Total area of section 1 & 2 :

bh = area of triangle + x

X = bh - area of triangle

X = 96 - 48

Area of se tion 1&2 = 48

Please help me. Very important please show work

Answers

Your gonna do (LxWxH)

What is the volume, in cubic feet, of the right rectangular
prism shown by the net? Show your work.

i think it’s upside down turn your phone or something pls

Answers

This is my work. I got 1 2/9. Hope this helps and sorry if it wrong

3. What is Total Surface Area?
4 in
3 in
10 in
O 82
O 140
O 164
O 120

Answers

Answer:

120in. ezy

Step-by-step explanation:

Kyle is a satellite radio sales representative. He receives 7% commission on all sales. If
the total sales for the year were $345,000, what would his commission be?

Answers

Answer:

24,150

Step-by-step explanation:

7% of 345,000 = 24,150

Suppose the function:

f(x) = 2.9646 (1.0170)x

models the world population x years after 1948.

Rewrite the exponential equation given above using base e.

f(t) = 2.9646 e ^(0.0169) t


B.
f(t) = 2.9646 (1.0170) e^t


C.
f(t) = 2.9646 + 1.0170e^t


D.
f(t) = 2.9646 e^(1.0170t)


E.
f(t) = 2.9646 e^ln (1.0170t)

Answers

Given:

The function is:

[tex]f(x)=2.9646(1.0170)^x[/tex]

To find:

Rewrite the exponential equation given above using base e.

Solution:

The exponential models is:

[tex]f(x)=P(1+r)^x[/tex]         ...(i)

Where P is initial values, r is the rate of interest and x is the time period.

The exponential models using base e is:

[tex]f(t)=Pe^{rt}[/tex]           ...(ii)

Where, P is initial values, r is the rate of interest and t is the time period.

The given function is:

[tex]f(x)=2.9646(1.0170)^x[/tex]

It can be written as:

[tex]f(x)=2.9646(1+0.0170)^x[/tex]        ...(iii)

On comparing (i) and (iii), we get

[tex]P=2.9646[/tex]

[tex]r=0.0170[/tex]

Putting [tex]P=2.9646[/tex] and [tex]r=0.0170[/tex] in (ii), we get

[tex]f(t)=2.9646e^{0.0170t}[/tex]

Therefore, the correct option is D.

HELP ME PLEASEE Select all of the following that could be classified as a Perfect Square Trinomial.

Answers

Son el B el C y el E

HELP PLEASE DUE SOON (i got the question wrong 2 tries)

Answers

Step-by-step explanation:

Mean number of tickets sold by boys =

Total Number of tickets sold / Number of boys

=

[tex] \frac{(1 \times 4) + (2 \times 3) + (4 \times 1) + (12 \times 1) + (13 \times 1) + (15 \times 3) + (14 \times 2}{4 + 3 + 1 + 1 + 1 + 3 + 2} \\ = \frac{4 + 6 + 4 + 12 + 13 + 45 + 32}{15} \\ = \frac{116}{15} \\ = 7.73(nearest \: hundredth)[/tex]

A worker places tape around a rectangular shipping label that is 2 times longer than it is wide. How much tape does the worker need? The width is 74mm

Answers

Answer:

444 :) (angel number, haha)

Step-by-step explanation:

it needs 74 times 2 mm which is 148 I think, which will also be the length since 148 is 2 times more than 74

so it's : 74 + 74 + 148 + 148 which is basically just 148 times three, so the answer is 444!

What's the ratio? please help! Urgent!

Answers

Answer:

13:5

Step-by-step explanation:

Messy played 65 minutes while the substitute played 25 minutes. This ratio is 65:25 and can be simplified to 13:5.

Which step comes last when using the divide-center method to find the trend line on a scatterplot? Approximate the center of the cluster located on the left side of the line, and repeat for the right side of the line. Connect the two centers to produce the trend line. Disregard all outliers.Draw a vertical line so that each side has the same number of data points.​

Answers

Answer:

Is there a picture?

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Does anyone know how to solve this problem

Answers

9514 1404 393

Answer:

  ∠CBE = 59°

Step-by-step explanation:

Adjacent angles of a parallelogram are supplementary.

  ∠BCD +∠CDE = 180°

  ∠BCD +∠CDB +∠BDE = 180°

  (21x -5) +34 +(4x+1) = 180

  25x +30 = 180

  25x = 150

  x = 6

∠CBE = ∠CDE = 34 +(4x +1) = 4x +35 = 4(6) +35

∠CBE = 59°

Please I need all answers ASAP I’ll mark u brainyist

Answers

Answer:

I'm pretty sure its A /5

It’s 5 is the answer

Please help me with this !!

Answers

Answer:

Step-by-step explanation:

a = 1

b = 6

c = 6

axis of symmetry =  -(6) / 2*1

= -6 /2

= -3

vertex = ( -3,  -3 )   :)

Answer:

Step-by-step explanation:

a = 1 because if is not written what x^2 multiply, it means that x^2 multiply 1

b = 6  b is the term that multiply x

c = 6  c is the therm without x

axis of symetry = -6/2 = -3

the x of vertex is same of the axis of the symmetry so it is -3

if we subistute x with this value we can find the y of vertex

(-3)^2 + 6(-3) + 6 = 9 -18 + 6 = -3

Vertex (-3, -3)

45 POINTS!! PLEASE HELP

The scatter plot shows the relationship between the test scores of a group of students and the number of hours they study in a week.

Part A: What is the group of points labeled N called? What is the point labeled M called? Give a possible reason for the presence of point M.

Part B: Describe the association between students’ test scores and the number of hours they study.

Answers

Answer:

Step-by-step explanation:

m is called an outlier and it is a positive association

Answer:

Part A) Part N.) is called the cluster of the whole chart. Part M.) is called the outlier because it's not with the rest of the group, therefore, it's the outlier of the group.

Part B.)

The association between the students' test scores and the number of hours they've studied is a positive correlation. That means the longer the students spent time studying for their tests... the better grades they got because of it. It's a lot like a cause-and-effect kind of situation.

Step-by-step explanation:

I hope this helps you!!! Brianlyest please!!! And SO sorry this is so late!

pls help on these and thku

Answers

The answer is (x-3)(x-5)

Answer:

the second one

Step-by-step explanation:

Heather has a bag of 15 red, 11 orange, 9 yellow, 12 green, 6 blue and 11 purple markers. how many times would you expect heather to pick a red marker if she picked a marker 90 times?
A.about 11 times
B.about 15 times
C.about 21 times
D.about 64 times

Answers

Answer:

B should be the correct answer.

Step-by-step explanation:

15 + 11 + 9 + 12 + 6 + 11 = 64

64<90

Answer:

15 red out of 64 total markers

15 / 64 = .234375

90 x .234375 = 21.09375

so she will pick a red marker about 21 times

Step-by-step explanation:

A variable y varies directly with x and the constant of variation is 3. What is the value of y when x = 2?

Answers

Answer:

y = 6

Step-by-step explanation:

y varies directly with x

y = k*x

Where,

k = constant of variation

Find y when x = 2 and constant of variation,k =3

y = k*x

y = 3 * 2

y = 6

Check:

if y = 6 and x = 2, find k

y = k*x

6 = k*2

6 = 2k

k = 6/2

k = 3

Please help !!!!!!!!!!!!!!

Answers

C is the correct answer :)

Given the function h(x) = -x2 -X2 – 5x + 8, determine the average rate of change of the function over the interval -4 < x < -2​

Answers

Hi there!

[tex]\large\boxed{\text{Average rate = 1}}[/tex]

We can calculate the average rate of change using the following:

[tex]ARC = \frac{f(b)-f(a)}{b-a}[/tex]

Thus, we can plug in the endpoints of -4 and -2. Find the corresponding y-values for these x-values:

f(-2) = -(-2)² - 5(-2) + 8  = -4 + 10 + 8 = 14

f(-4) = -(-4)² - 5(-4) + 8 = -16 + 20 + 8 = 12

Plug in the solved for values into the ARC equation:

[tex]ARC(slope) = \frac{14-12}{-2(-4)} = \frac{2}{2} = 1[/tex]

Solve for x and solve for FGI

Answers

Answer:

X equals -0.5 in decimal and in fraction it would be negative one half. Im not 100% sure of the answer also I dont know what angle that is...

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