Two rectangles are similar. The smaller has a length of 8 cm and an area of 40 cm.
If the width of the larger rectangle is 10 cm, find its area.

Answers

Answer 1

Answer:

160 cm²

Step-by-step explanation:

If the two rectangles are similar, that means they have equal scale factors.  The smaller rectangle has length of 8 cm and area of 40 cm, which means the width is 5 cm.  

The width of the larger rectangle is 10 cm, which is double the width of the smaller, similar rectangle.  So, to find the length of the larger rectangle, multiply 8 x 2, which gives you 16 cm for the length, since the scale factor is 2.

Now, just find the area of the larger rectangle by doing length x width.  16cm x 10 cm = 160 cm²

Answer 2

Answer:

160 cm^2

Step-by-step explanation:

Our strategy is to find the length of the larger rectangle so we can find the area. To find the length, we will rely on the fact the two rectangles are "similar": their sides are in equal proportions, or have the same "ratio."

We know that the smaller rectangle has a width of 5 cm because, when we substitute area and length into

A = lw

we get

40 = 8w

w = 5

when we divide both sides by 8.

Because of equal proportions:

Width : length of the smaller rectangle = Width : length of the larger rectangle

We can write an equation

5 / 8 = 10 / x

Cross multiply

5x = 80

x = 16

So the larger rectangle has a length of 16 cm and a width of 10 cm (given)

meaning the area is

16 * 10 = 160 cm^2


Related Questions

250 ÷ [5(3 • 7 + 4)]

Answers

Answer:

2

Step-by-step explanation:

10 fewer than the difference of 8 and w? PLEASE HELP GETS BRAINLY 5 STARS AND A LIKEEEE!!!!!!!!!

Answers

Answer:

(8-w)-10

so -w-2

if w is a variable... sorry this answer is just for reference

Step-by-step explanation:

f(x) = x2. What is g(x)?

Answers

Answer:

B

Step-by-step explanation:

Looking at the graph, we can see that g(x) is a compressed version of f(x) in the x direction but stretched in the y direction. We know that it is compressed because the values of g(x) are inside of f(x) in the x direction, and that it is streched because the values of g(x) are higher than the values of f(x) in the y direction.

Next, we want to figure out how much g(x) is a compression/stretch of x.

In the y direction, at x=1, y=1. At x=3, y=9. The ratio between the y values is 9/1 = 9, so in the y direction, the graph is streched by 9.

A stretch in the y direction can be represented by kf(x), with k representing how much the graph is stretched. In our example, k=9, so we have

kf(x) = 9f(x) = 9(x²) = 9x². This is equal to (3x)² = 9x², or B

In the x direction,  at x=1, y=1. At x=3, y=9. The ratio between the x values is 3/1 = 3, so in the x direction, the graph is compressed by 3.

f(kx) represents a compression by a factor of k in the x direction, and k =3 here, so we have

f(kx) = f(3x) = (3x)² = 9x² = B

300 divided by 6 times to the 2nd power divided by 3.14, i need help.

Answers

Answer:

Step-by-step explanation:

300÷6x²÷3.14=2.6539278131634819533

6) find HJ
8)find IK

Answers

Answer:

HJ = 17

IK = 30

Step-by-step explanation:

to find HI :

GH : 2

HI : ?

IJ : 12

GI : 7

HI = GI - GH

HI = 7- 2

HI = 5

HI + IJ = HJ

5 + 12 = HJ

17 = HJ

To find IK

IJ = ?

JK = 12

KL = ?

IL = 49

JL = 31

To find IK we need to find KL and IJ

KL = JL - JK

KL = 31 - 12

KL = 19

IJ = IL - (JK + KL)

IJ = 49 - 31

IJ = 18

IK = IJ + JK

IK = 18 + 12

IK = 30

- Judy wrote a check for $63, then made a deposit
of $ 110. What was the overall chang to her
Account.

Answers

Answer:

$47

Step-by-step explanation:

110-63=47

Answer:

+$47

Step-by-step explanation:

As you are calculating for change, assume that the bank account has $0.

Judy wrote a check for $63, or she withdrew $63:

0 - 63 = -63.

Next, she deposited $110, or she added $110:

-63 + 110 = 47

The over all change to her account is a net profit of +$47.

~

Please no links because they dont work :).

Answers

Answer:

semoga jawapan ini dapat membantu

Help please I truly appreciate it

Answers

Answer:

-12

Explanation:

2x + 8y

x = -7 and y = -1/4

plug in values of x and y

2(-7) + 8(-1/4)

multiply 2 and -7

-14 + 8(1/4)

multiply 8 and 1/4

-14 + 2

add

=-12

Answer:

2(-7)=8(1/4)

-14+8x1/4

-14+8/4

-14+2

-12

Step-by-step explanation:

the temperature for the first 4 days in january was -2 degrees

the mean temperature for the first 5 days in january was 0 degrees

what was temperature on the 5th day ?
URGENT

Answers

let's assume the temperature on 5th day be x

We know that :

[tex] \boxed{mean = \frac{sum \: \: of \: all \: \: observations}{number \: \: of \: \: observations} }[/tex]

So,

[tex] \hookrightarrow \: 0 = \dfrac{ - 2 + ( - 2) + ( - 2) + ( - 2) + x}{5} [/tex]

[tex] \hookrightarrow \: 0 \times 5= - 2 - 2 - 2 - 2 + x[/tex]

[tex] \hookrightarrow \: 0 = - 8 + x[/tex]

[tex] \hookrightarrow \: x = 8[/tex]

Therefore, temperature on the fifth day was x = 8

Can anyone help?
If f(x)=3^x, prove that f(x) + f(x+1)= 4f(x)

Answers

Answer:

[tex]f(x) = {3}^{x} \\ f(x +1) = {3}^{(x + 1)} \\ f(x) + f(x + 1) \\ = {3}^{x} + {3}^{(x + 1)} \\ = {(1 \times 3}^{x} ) +( 3 \times {3}^{x} ) \\ By \: taking \: {3}^{x} \: common, \: we \: get \\ (1 + 3) \times {3}^{x} \\ = 4 \times {3}^{x} \\ = 4f(x)[/tex]

f(x)+f(x+1)=4f(x), when f(x)=3^x Hence proved

What letter stays the same when reflected over the x-axis

Answers

When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.p explanation:

-2(-6n-3)-8=82 solve for n

Answers

Answer:

n = 7

Step-by-step explanation:

-2(-6n-3)-8=82,

12n + 6 - 8 = 82,

12n -2 = 82,

12n = 84,

n = 7

Answer:

n=7

Step-by-step explanation:

-2(-6n-3)-8=82

Add 8 to both sides

-2(-6n-3)-8+8=82+8

Simplify

-2(-6n-3)=90

Divided both sides by -2

-2(-6 -3) = 90

2 -2

Simply

-6n-3=-45

Add 3 to both sides

-6n-3+3=-45+3

Divided both side by -6

-6n = -42

-6. -6

Simply

n=7

which of the following are geometric sequences?
a: 5,10,20,40,80,160
b: 3,6,9,12,15,18
c: 10,5,2.5,1.25,0.625,0.3125
d:1,3,9,27,81

Answers

Answer:

A, C, D

Step-by-step explanation:

This is because the ratio between te consecutive terms are constant, that is ×2, ×0.5 and ×3 respectively

Find the difference between temperatures of 17 degrees celcius above zero and 12 degrees celcius below zero

Answers

Answer:

29° C

Step-by-step explanation:

-17(-12)

=29

Hope this helps

Answer:

29C

Step-by-step explanation:

Above zero temperature = +17C

Below zero temperature = -12C

Difference= 17 - (-12C)

                 = 17 + 12 C

                 =29C

Which of the following sets contains multiples of six?

{1, 6}

{2, 3}

{4, 9}

{12, 18}

Answers

D, because it is the only one that contains multiples. All others contain factors.

If you have any doubts plz let me know.

​Quadrilateral ABCD​ is inscribed in this circle.
What is the measure of angle C?
Enter your answer in the box.

Answers

Answer:

C = 80

Step-by-step explanation:

A cyclic quadrilateral is one where all 4 vertices touch the circumference of a circle.

It has 1 interesting property that should concern you: <B + <D = 180 degrees.

3x - 59 + 2x - 1 = 180          Combine like terms

5x - 60  = 180                     Add 60 to both sides.

5x = 180 + 60

5x = 240

x = 240/5

x = 48

Now go to 2x + 4.

x = 48

A = 2*48 + 4

A = 96 + 4

A = 100

So C = 180 - 100

C = 80

2 questions
***************

Answers

Step-by-step explanation:

1) As U is the mid point of TV ,it divides the whole line in two equal parts:

TV=TU+UV

TU=UV

Subtitute values:

5x+6=23+23

5x+6=46

5x=46-6

5x=40

x=40/5

x=8

2) Q is mid point of PR so PQ=QR

PR=PQ+QR

15x-29=6x-1+6x-1

15x-29=12x-2

15x-12x=29-2

3x=27

x=27/3

x=9

Note:if you need to ask any question please let me know.

please explain if you can

Answers

Answer:

Hello again!  The answer to this one is C

Step-by-step explanation:

As I said before, a fraction is out of 100, like a percent.  Divide 100 by the denominator (in this case, 4).  This gives you 75%.  However, to convert this into a decimal, we need to multiply it by 0.01.  This gives you 0.75.

Answer:

.75

Step-by-step explanation:

there are more that one way to represent numbers..

Roman numerals are quite obsolete, but fractions, decimals and percent's

are the ones that you mainly learn about in a math class...

numbers of one type can be converted to any other...

in this case you want to convert a FRACTION 3/4 to change to a DECIMAL version.... NOTE: at the end I will also show the PERCENT VERSION...

the fraction to decimal conversion is done by "LONG DIVISION"

   

   __.75__

4 | 3.0

    2.8

    -----

       20

       20

        ---

        0

Note  as a percent it is 75%

Y=8x use this calculate y when x = 30

Answers

Answer: y is 240

Step-by-step explanation:

Which function is graphed?

Answers

Answer:

B.

Step-by-step explanation:

ik just trust because first one is less than so its undefined and the other is less then or equal to

Note that all answers have the same functions. The difference in the answers is where those functions are happening.

The parabola (x^2+4) happens for x-values less than 2. “Less than” because of the open circle at x=2.

The line (-x+4) happens for x-values greater than or equal to 2. “Greater than or equal to” because of the closed circle at x=2.

The answer that matches these is B.

What is the answer to
5 - ( - 12 )

Answers

Answer: 17

Step-by-step explanation:

since there are two minuses, you change them to a plus and add, ending up with 5+12 to get 17

what is n (AUB) if (A)=25,n(B) = 10 and BCA

Answers

Answer:

35

Step-by-step explanation:

It is in the above photo .

What is 1,025 divided by 68

Answers

Answer:

15.07352941

Step-by-step explanation:

in short 15.07

What is cos 30°?
604
2.
90'
309
13
O A. /
O B. 1 / 2
O c.
O D. V
O E F
O F. 1
SUB

Answers

Answer:

the value of cos 30degree is √3\2 ....

PLS HELP!!!! I solved these but i dont know how to show my work...

Answers

use Microsoft math and take a picture of each problem and it shows the work u will thank me later :)

how many numbers are there between 256 and 789 that are divisible by 7​

Answers

Answer:

76

Step-by-step explanation:

How many numbers are between 256 and 789 are divisible by 7 ?

Generalizing, we could look for a procedure that, given two integers A and B, with B>A , and a module M, tells us how many integers x, with A<=x<=B , are divisible by M.

a) let n1 be the lowest integer >=A such that n1 is divisible by M.

If n1>B , than not even n1 has the required properties and the output of the procedure is 0; otherwise, go to the next step.

n1 will be the first number of the sequence of numbers divisible by M.

b) let n2 be the highest integer <=B such that n2 is divisible by M.

Notice that it’s not possibile that n2<A , as you alway have the possibility n2=n1 .

n2 w

A simple way to think about this is by calculating the largest multiple of 7 less than 256 (let’s call it y) and the smallest multiple of 7 greater than 789 (let’s call it x). The answer is then all the multiples of 7 in between these two numbers, which can be represented by:

x−y7−1

Let’s do it:

252 is the largest number less than 256 divisible by 7. y = 252

791 is the smallest number greater than 789 that’s divisible by 7.

Thus, our answer is 113-36–1 = 76.

Note: we subtract 1 or else we would include the number on the top end of the range (in this case, 791).

Hope it helped you!!

Pls mark me the brainliest :)

What is the sum of all the positive integers from √24 to √102

Answers

Answer:

[tex] \sqrt{24} = 4.9[/tex]

[tex] \sqrt{102} = 10.1[/tex]

positive integers = x

4.9 < x < 10.1

x = 5, 6, 7, 8, 9, 10

sum = 5 + 6 + 7 + 8 + 9 + 10

= 45

Q. An Umbrella is made by stitching 10 triangular peices of cloth to two different colours, each piece measuring 20cm, 50cm & 50cm. Show much cloth of each colour is required for the umbrella?
Plz answer fast for thanks and brainliest.​

Answers

Answer:

1000

[tex]1000 \sqrt{6} [/tex]

Step-by-step explanation:

Given: Dimensions of each triangular piece used in umbrella.

Reasoning: By using Heron’s formula, we can calculate the area of a triangle.

Heron's formula for the area of a triangle, Area = √s(s - a)(s - b)(s - c)

Where a, b, and c are the sides of the triangle, and

s = Semi-perimeter = Half the Perimeter of the triangle = (a + b + c)/2

We know that umbrella is made of 10 triangular pieces of cloth of two different colours.

Let us calculate the area of one triangle.

For each triangle, a = b = 50 cm, c = 20 cm

Semi Perimeter

s = (a + b + c)/2

= (50 + 50 + 20)/2

= 120/2

= 60 cm

By using Heron’s formula,

Area of triangle = √s(s - a)(s - b)(s - c)

= √s(s - a)(s - b)(s - c)

= √60(60 - 50)(60 - 50)(60 - 20)

= √60 × 10 × 10 × 40

= 200√6 cm2

Therefore,

Area of 10 triangular pieces = 10 × 200√6 cm2 = 2000√6 cm2

Hence, cloth required for each colour = (Total area of the cloth)/2

= (2000√6)/2

= 1000√6 cm2

Thus, 1000√6 cm2 cloth of each colour is required for the umbrella

A sphere has radius r unit. Find the following. (a) Circumference of great circle​

Answers

Answer:

2πr

Step-by-step explanation:

the Circumference of great circle =

2×π×r or 2πr

-3, 31, 11, 5.5, -60/-11
Order From least to greatest

Answers

Answer:

-60,-11,-3,5.5,11,31

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