Two similar rectangles have a corresponding sides in the ratio 10:3 find the ratio of their areas​

Answers

Answer 1

Hello!

Answer:

[tex]\huge\boxed{100 : 9}[/tex]

If corresponding side lengths are in the ratio 10 : 3, the ratio of their areas will simply be the square (area is 2-dimensional).

Therefore:

10 : 3 ⇒ (10)² : (9)²

100 : 9 is the ratio of the areas.

I hope this helped you! :)

Answer 2
Answer:

Ratio of the corresponding sides of rectangle

10 : 3

Areas will by in the ratio of 10² : 3²

100 : 9

Explanation :

let first rectangles sides be 10 l and 10 b ➾ The area will be 100 × l × b

So second rectangles sides be 3 l and 3b

➾ The area will be 9 × l × b

So the ratio of areas

➾100lb : 9lb

100 : 9


Related Questions

The perpendicular distance of the point from x axis is 2 units and the perpendicular distance from y axis is 3 units.Write the co-ordinates of the if it lies in

Answers

Answer:

Step-by-step explanation:

Given that :

the  perpendicular distance of the point from x axis = 2 units

the perpendicular distance from y axis is 3 units

The objective is to the write the coordinates of the points if it lies in

(i) | Quadrant  (ii) || Quadrant (iii) ||| Quadrant (iv) |v Quadrant

The position of a point in a plane is conveniently specified by the distances fro two perpendicular lines.The lines are called the x-axis and y-axis and their [point of intersection is called the origin.

The perpendicular distance from the y-axis is called the x- coordinate or abscissa and the perpendicular distance from x-axis is called the y-coordinate or ordinate,The  coordinate form an ordered pair with the abscissa written as first.

With that be said, So In the given question,

the  perpendicular distance of the point from x axis = 2 units

y coordinate = ±2

the perpendicular distance from y axis is 3 units

x coordinate = ±3

The ordered pair of the coordinates = ( ±3, ±2)

Therefore;

in | quadrant ; we have (3,2)   where  x and y are both on the positive axis

in || quadrant ; we have (-3,2)   x is on the negative axis and y is on the positive axis

In ||| quadrant ; we have (-3. -2) both x and y are on the negative axis

In |v quadrant ; we have ( 3, -2)  x is on the positive axis and y is on the negative axis.

If it takes 2 whole cups of chocolate chips to make 100 cookies, how many cups of chocolate chips do you need to make 25 cookies?

Answers

Answer:

1/2 cup

Step-by-step explanation:

We can use ratios to solve

2 cups              x cups

---------------   = ----------------

100 cookies        25 cookies

Using cross products

2 *25 = 100x

50 = 100x

Divide by 100

50/100 = x

1/2 = x

1/2 a cup will make 25 cookies because 1 cup makes 50 cookies and 2 cups makes 100 cookies

3. A doctor treated 2,000 patients over a period of time. If he worked for
5 hours a day and spent 15 minutes pach patient, how many days
did the doctor spend to treat all the patients?​

Answers

Answer:

100 days

Step-by-step explanation:

the doctor works 5 hrs per day, which means 20 patients per day, in 100 days he will be able to treat 2000 patients

The sum of 2 numbers is 250. One of them is greater than 150. Which of these is definitely true about the other number? a) It is equal to 100. b) It has to be less than 100. c) It has to be greater than 100. d) It has to be a number between 150 and 250. Please answer fast and do explain how you got the answer...

Answers

Answer:

b

Step-by-step explanation:

Answer:

d) it has to be greater than 150 and 250

Step-by-step explanation:

It  says in the question it is greater than 150. So the number will be between 150 and 250.

Mark it as Brainliest pls

Hope it helps!!!

10. In 2005 there were 9 million bicycles in Beijing, correct to the
nearest million.
The average distance travelled by each bicycle in one day was
6.5 km correct to one decimal place.
Work out the upper bound for the total distance travelled by all the
bicycles in one day,

Answers

Answer:

Total distance = 6,540,000 km

Step-by-step explanation:

Given

Number of bicycles = 9,000,000

Average Distance = 6.5 km (to 1 d.p)

Required

Calculate the upper bound of all bicycle distance

First, we need to determine the range of the distance traveled by each bicycle;

Since, the average distance is approximated, then the Range is:

[tex]Range = (6.45km\ to\ 6.54km)[/tex]

All number in this range approximate to 6.5km

Note that the upper bound of the range is 6.54km;

Hence, total distance is calculated as thus;

[tex]Total\ distance = Number\ of\ bicycle * upper\ bound[/tex]

[tex]Total\ distance = 1,000,000 * 6.54km[/tex]

[tex]Total distance = 6,540,000km[/tex]

i need help with this question ​

Answers

Answer:

1000ml

Step-by-step explanation:

4 days she drank ½ of the bottle

so she drank ⅛ l of juice everyday

so

1000ml is the answer

can u help me. where do u plot it. what is x and what is y

Answers

Answer:

Step-by-step explanation:

for the first equation x= -2 and y=-7

the second equation x=3 and y is 3 now just plot x and y from the same equation on the same line

Answer:

[tex]\huge\boxed{x = -4; y = 7}[/tex]

Step-by-step explanation:

By plotting the points, we see that both of the lines intersect at (-4, 7)

Which means (X,y) = (-4,7)

So,

x = -4

y = 7

See the attached file so that you can know how would it be graphed.

In ΔABC,if a=6cm,b=5cm and c=4cm.find the value of ∠A.PLZ solve it fast plz help me out of it it's urgent

Answers

Answer:

the value of angle A is 82.819°

Convert the radian measure to degree measure. Use the value of π found on a calculator, and round answers to two decimal places. nine pi divided by twelve

Answers

Answer:

135°

Step-by-step explanation:

π in radian = 180°

∴ 9π in radians = 9 X 180° = 1620°

Then 9π/12 = 1620°/12 = 135°

Please give me the correct answer

Answers

Answer:

Area= 452.23 ft²

Step-by-step explanation:

Angle at U = 180-48-20

Angle at U = 112°

UT/sin 112=46/sin 48

UT= 0.9272*46/0.7431

UT=57.4 ft

UV= sin 20*46/sin48

UV= 0.3420*46/0.7431

UV= 21.2 ft

S=( 21.2+57.4+46)/2

S=124.6/2

S= 62.3

Area= √((62.3)(62.3-21.2)(62.3-57.4)(62.3-46))

Area= √((62.3)(41.1)(4.9)(16.3))

Area= √204509.5311

Area= 452.23 ft²

PLEASE HELP!! Find the coordinates.

Answers

Answer:

Option (D)

Step-by-step explanation:

Coordinates of the points J, E and V are,

J → (-4, -5)

E → (-4, -3)

V → (-1, -1)

This triangle is translated by the rule [tex]T_{<2,4>}[/tex] given in the question.

Coordinates of the image will follow the rule,

(x, y) → [(x + 2), (y + 4)]

following this rule coordinates of the image triangle will be,

J(-4, 5) → J'(-2, -1)

E(-4, -3) → E'(-2, 1)

V(-1, -1) → V'(1, 3)

Therefore, points given in the option (D) will be the answer.

Julio is paid 1.3 times his normal hourly rate for each hour he works over 31 hours in a week. Last week he worked 42 hours and earned $548.13. Enter and solve an equation to find Julio's normal hourly rate, r. Complete the explanation how you know that your answer is reasonable.

Answers

Step-by-step explanation:

Answer:

$12.10 / hour

Step-by-step explanation:

42 - 31 =

1.3(11)r + 31r = 548.13

14.3r + 31r = 548.13

45.3r = 548.13

r = 12.1 / hour

Hello, a quick question which number is least to greatest 0.359, 0.35, 1

Answers

Answer:

0.35, 0.359, 1

Step-by-step explanation:

0.359 = 359 thousandths

0.35 = 0.350 = 350 thousandths

1 = 1.000 = 1000 thousandths

Since 350 < 359 < 1000, then from least to greatest you get

0.35, 0.359, 1

Three-fourths of the voters supported the bond measure. If there were
8000 voters, how many supported the bond measure?

Answers

Answer:

6000

Step-by-step explanation:

Divide top and bottom by the common factor.  

[tex]\dfrac{3 }{4} \times 8000 = 3 \times 2000[/tex]

Simplify

3 × 2000 = 6000

For each of the following paralellogram calculate the unknown angles marked. x, y and z

Answers

Answer:

x = 50°, y = z = 40°

Step-by-step explanation:

x = 50° ( Alternate angle )

z = 180° - (110 + 30)° = 180° - 140° = 40° ( sum of angles in Δ )

y = z = 40° ( Alternate angles )

Given [tex]f(x)=-x^{2} +6x-11[/tex], find [tex]f(x-3)[/tex]

Answers

Answer:

See below.

Step-by-step explanation:

[tex]f(x)=-x^2+6x-11\\f(x-3)=-(x-3)^2+6(x-3)-11\\f(x-3)=-(x^2-6x+9)+6x-18-11\\f(x-3)=-x^2+6x-9+6x-29\\f(x-3)=-x^2+12x-38[/tex]

a zookeeper has both flamingos and alligators in his zoo there are 78 feet and 27 heads how many flamingos and aligators are there

Answers

Answer:

15 flamingos and 12 alligators

Step-by-step explanation:

Because there are 27 heads, that means there is a total of 27 flamingos and alligators. Flamingos have 2 feet and alligators have 4 feet.

1. Set up a system of equations

(x = number of flamingos, y = number of alligators)

1x + 1y = 27 heads

2x + 4y = 78 feet

2. Multiply to get the same coefficient

2(1x + 1y = 27) → 2x + 2y = 54

3. Subtract

 2x + 2y = 54

- 2x + 4y = 78

 0x + -2y = -24

4. Solve for y

-2y = -24

y = 12

5. Plug in y to solve for x

1x + 1(12) = 27

x + 12 = 27

x = 15

type the correct answer in the box. use numerals instead of words. what value of x makes this equation true? x/6 - 7 = -4

Answers

[tex]\dfrac{x}{6}-7=-4\\\dfrac{x}{6}=3\\x=18[/tex]

Answer:

x = 18

Step-by-step explanation:

x/6 - 7 = -4

Add 7 to each side

x/6 - 7+7 = -4+7

x/6 = 3

Multiply each side by 6

x/6 *6 = 3*6

x = 18

how to do this question plz answer me step by step plzz plz plz plz plz I really struggling ​

Answers

Answer:  48

There are many approaches to estimating stuff like this, so there isn't one set answer. My approach is shown below.

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

1 min = 60 sec

30 min = 1800 sec (multiply both sides by 30)

1/2 hr = 1800 sec (replace "30 min" with "1/2 hr")

The value 2014 is fairly close to 1800, so roughly every half hour we have a prize being won. This is an overestimate.

There are 24 hours in a day, so 24*2 = 48 half-hour periods in a day, meaning we have an estimated 48 prizes in a full day. This is an overestimate as well.

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

Extra info:

If you're curious about finding the more accurate value, then you could follow these steps

1 prize = 2014 seconds

x prizes = 86400 seconds (number of seconds in a full day)

1/x = 2014/86400

1*86400 = x*2014

86400 = 2014x

2014x = 86400

x = 86400/2014

x = 42.8997020854021

Round down to get x = 43. We round down because there isn't enough time to get that 44th prize. The value 43 is fairly close to 48, and we can see our earlier estimate of 48 was an overestimate.

SOS...Complete the following proof. 25 POINTS!!!

Answers

Answer:

See below

Step-by-step explanation:

Given:

AC ≅ CE

To Prove:

ΔABC ≅ ΔEDC

Proof:

Statements                           |     Reasons

ΔABC ⇔ ΔEDC                      |

AC ≅ CE                                  |      Given

∠ACB ≅ ∠ECD                       |   Vertical Angles are congruent

∠BAE ≅ ∠DAE                        | Alternate Interior Angles are Congruent

ΔABC ≅ ΔEDC                       | S. A . A Postulate

[Hence Proved]

Jack is building a square garden. Each side length measures 777 meters. Jack multiplies 7\times77×77, times, 7 to find the amount of space in his garden is equal to 494949 square meters. Which measurement does 494949 square meters represent?

Answers

Answer:

49 square meters represent area of the square garden

Step-by-step explanation:

Each side length=7 meters

He multiplied 7 × 7 times to find the amount of space

=49 square meters

Jack is trying to measure the area of his square garden

Area of the square garden = length^2

=Length × length

Recall,

Length=7 meters

Area of the square garden= 7 meters × 7 meters

=49 square meters

Find all of the missing angles of sides of the triangle below. Note that side lengths are in centimeters. Show and/or explain your work thoroughly and round answers to the nearest hundredth if needed.

Answers

Answer:

c=19.21

<C=90

<B=38.66°

<A=51.34

Step-by-step explanation:

12²+15²=c²

144+225=c²

c=19.21

<C=90

For angle B, the sinB=Opposite over Hypotenuse

sinB=12/19.21

sinB=0.62467

B=sin^-1(0.62467)

<B=38.66°

To find A, 180-90-38.66

<A=51.34

how many are 7 raised to 2 ???​

Answers

Answer:

[tex]\huge \boxed{49}[/tex]

Step-by-step explanation:

7 raised to 2 means the base 7 is to the power of 2.

[tex]7^2[/tex]

7 is squared or multiplied by itself.

[tex]7^2 =7 \times 7=49[/tex]

The perimeter of a rectangle is 62 cm. The diagonal and width of the rectangle are 25 cm and x cm respectively.
Form a quadratic equation in terms of x based on the situation. ​

Answers

Step 1:

62cm - (25*2)=12cm

62-25=37cm

Length for both sides 25

Width=37cm=x


Rami goes running in Central Park every Sunday. He runs at a constant speed. He can run 6 3/5 miles in 1 2/3 hours.what is his speed In miles?​

Answers

Answer:

3 24/25 MPH

Step-by-step explanation:

We know Rami runs 6 3/5 miles in 1 2/3 hrs --> Convert into an improper fraction

--> 6 3/5 = 33/5

--> 1 2/3 = 5/3

Speed = Distance divided by Time

Distance = 33/5

Time = 5/3

33/5 / 5/3 = 33/5 x 3/5

33/5 x 3/5 = 99/25

1/25 less than 4 = 3 24/25

Thus, our answer is 3 24/25 MPH

Hope this helps!

Choice #1: Marie made an error when solving the equation below.
Part A: Identify Marie’s error and explain why it resulted in an incorrect solution.

Part B: Correctly solve 4x - 8 = 36 for x. Show your work.

Answers

Answer:

Marie´s error was not to consider the number 8:

4x - 8 = 36

it´s equal to:

(4x-8)/4 = 36/4

4x/4 - 8/4 = 36/4

x - 2 = 9

x = 9+2

x = 11

probe:

4*11 - 8 = 36

44 - 8 = 36

Marie did not add 8 on the right-hand side so by considering it the solution of the given equation will be 11.

What is the equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

In another word, the equation must be constrained with some constraints.

As per the given equation,

4x - 8 = 36

Marie add +8 on the left-hand side but forgot to add it to the right-hand side.

Thus, add +8 on the left as well as the right-hand side.

4x - 8 + 8 = 36 + 8

4x = 44

x = 11

Hence "Marie did not add 8 on the right-hand side so by considering it the solution of the given equation will be 11".

For more about the equation,

brainly.com/question/10413253

#SPJ2

Given that ΔABC is a right triangle with the right angle at C, which of the following is true?

1. tan A = 1/(tan B)
2. tan A = sin B
3. cos A = 1/(cos B)
4. sin B = 1/(sin A)

Answers

Answer:

1. tan A = 1/(tan B)

Step-by-step explanation:

By definition,

tangent A = opposite / adjacent = a / b

and

tangent B = opposite / adjacent = b / a

Therefore tangent A = a/b = 1/tan(B)

Answer: Tan a=tan b

I belive

Step-by-step explanation:

p^2/2+2/q^2)(p^2-2/q^2)

Answers

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[tex]( \frac{p^{2} }{2} + \frac{2}{2_{q} }) ( p^{2} - \frac{2}{2_{q}})[/tex]

[tex]= \frac{\frac{1}{2}p^{4}q^{4} + p^{2} q^{2} - 4 }{q^{4}}[/tex]

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        Have a great day/night!

                   ❀*May*❀

Answer:

ree

Step-by-step explanation:

3-2y-1+5x^2-7y+7+4x^2

Answers

Answer: Hi!

The only thing we can do to simplify the equation is combine like terms.

5x^2 + 4x^2 = 9x^2

-2y - 7y = -9y

3 - 1 + 7 = 9

Our equation now looks like this:

9x^2 - 9y + 9

We have nothing left to simplify, so we're done!

Hope this helps!

Line m and point P are shown below. Part A: Using a compass and straightedge, construct line n parallel to line m and passing through point P. Leave all construction marks. Part B: Explain the process that you used to construct line n.

Answers

Answer:

  see the attached

Step-by-step explanation:

In the attachment, we will refer to the circles, bottom-to-top, as circles 1, 2 and 3. The black points of intersection, bottom-to-top, will be referred to by the letters A, B, C, D. The transversal line through the white point (W) and pink point (P) will be line q.

Step 1. Draw line q through point P so it intersects line m at some convenient point. Label that point W.

Step 2. Choose an arbitrary radius for your compass. Here, we have chosen it to be the length WB. It happens to be less than half the length of WP, but that is not a requirement.

Step 3. Draw an arc of the chosen radius centered at W and intersecting line q and line m. Label the intersection points A (on line m) and B (on line q). These intersection points are on circle 1.

Step 4. Draw an arc of the same radius centered at P. It should be a long enough arc that it would intersect the proposed line parallel to m. Label the intersection point on line q with label C. This intersection point is on circle 3.

Step 5. Adjust the compass width (radius) to the distance from A to B. This is the radius of circle 2.

Step 6. Draw an arc centered at C so that it intersects the arc of Step 4. This is circle 2, and you want it to intersect circle 3. Label that point of intersection D.

Step 7. Draw line PD parallel to m.

_____

The point of the construction is to create congruent alternate interior angles AWB and CPD, so that lines AW and PD are parallel.

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