7.
The length of a rectangle is increased by 10% while its breadth is decreased by 10%.
Determine, if any, the percentage change in its area.

Answers

Answer 1

Answer:

the new area is 1% smaller.

Step-by-step explanation:

the area of a rectangle is length times breadth.

let's call them a and b

Area = a × b

now, a is increased by 10%. that means it is multiplied by 11/10.

because 100% means the whole thing, 1% means a 1/100th part of the whole. and 10% then means 10 times the 1/100th part of 10 × 1/100 = 10/100 = 1/10

if then simmering increases by 10% it means that it is the original 100% plus 10%.

so, it is 100/100 + 10/100 = 10/10 + 1/10 = 11/10

therefore the new length is

a(new) = a(old)×11/10

in exactly the same way, when the breadth is reduced by 10% we get then

breadth(new) = breadth(old)×9/10

so, Area(new) = a(new)×b(new) = a(old)×11/10 × b(old)×9/10

remember, Area(old) = a(old)×b(old)

so, Area(new) = a(old)×b(old) × 11/10 × 9/10 =

= Area(old) × 11/10 × 9/10 =

= Area(old) × 99/100

that means the new area has lost compared to the old area 1/100th of its size. 1/100th = 1%


Related Questions

If f(x) = 3x^2 + 4 and g(x) = 2x - 1, what is f(g (x))?

A) 12x^2 - 12x + 7
B) 3x^2 + 2x + 3
C) 12x^2 - 4x + 5
D) 36x^2 - 36x + 9

Answers

Answer:

c just did it

Step-by-step explanation:

Solve for v.
6v – 4v – 3 = 9
V =
= [?]

Answers

Answer: v=6

Step-by-step explanation:

Answer:

6 it's because I did this stuff in 6th grade.

Step-by-step explanation:

2 x ? -3=9. 2 x 6 - 3 = 9

The sum of 5 and y is greater than or equal to 7

Answers

Answer:

5 + y ≥ 7

Step-by-step explanation:

"The sum of 5 and y"

The sum of two items will be the two items added, and in this case, it is 5 and y, or

5 + y.

"Greater than or equal to 7"

Here, use the symbol, ≥, and 7.

≥ 7

Combine those to get the final equation:

5 + y ≥ 7.

5+y>7
I hope this is right xxxxxxxoooxoxoxoxooxoxo

Curtis mowed 9 of the yard's 25 grassy patches. Use a proportion to show how many grassy patches he would probably mow out of 60 total.​

Answers

Answer:

22 yards

Step-by-step explanation:

9/25 = x/60

cross-multiply:

25x = 540

x = 21.6

The exponential function g, represented in the table, can be written g(x) = a•b^c

Answers

Answer:

okay

Step-by-step explanation:

palish pnyang pnyang sbaby sha

what is 2/3 of 1/4 THANKS!

Answers

Answer:

1/6

Step-by-step explanation:

[tex]2/3 \text{ of } 1/4 = (2/3)*(1/4) = 2/12 = 1/6[/tex]

Answer:

1/6

Step-by-step explanation:

(2/3)(1/4)=2/12=1/6

Which function describes the graph below?

Answers

Answer:

Step-by-step explanation:

There are no pics

heyy! i’ll give brainliest please help

Answers

Answer:

Ms. Lily Green

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

you need to capitiliz all words because it is a name

SOMEBODY PLEASE HELP‼️I'll give you the brainliest‼️

find the area of a circle that has a radius of 5 rounded to the nearest tenth

1) 25

2) 10

3) 78.5

4) 78.6​

Answers

Answer: 78.5

Step-by-step explanation: Assuming you use 3.14 for pi, then 5^2 times 3.14 equals to 78.5. If you use the real number for pi, then it is going to be 78.54/

please answer question 4

Answers

They reject if the pie is more than 3.2oz from 28oz.

The scale shows positive number if its more than 28oz.

The scale shows negative number if its less than 28oz.

The scale shows zero if its 28oz.

A .  Scale reads -2.8oz which means less than 28oz, So accepted.

B.   Scale reads 3.5oz which means 3.5oz more than 28oz. So rejected.

C.   Scale reads -3.3oz which means less  than 28oz, So accepted.

D.   Scale reads 28oz which means more than 28oz, So rejected.

help me plsssss whoever answers correctly gets brainliest:)

Answers

I think it’s c but I don’t know

Answer:

0.6 meters² or 0.6 square meters (basically the same thing but written differently)

Step-by-step explanation:

2.4 x 0.5 = 1.2

1.2/2 = 0.6

Which is bigger 1/7 or 0.14

Answers

Answer:

Both are equal

Step-by-step explanation:

please mark me brainliest

Answer:1/7

Step-by-step explanation:

1) Devin wants to play lazer tag for his birthday. He is comparing the cost of two companies. Lazer Zone charges $50 for parties, and an additional $10 per guest. Fun Palace charges $90 for parties, and an additional $6 per guest. For how many guests is the cost of both companies the same?

Answers

Answer:

10 guests

Step-by-step explanation:

Devin wants to play lazer tag for his birthday. He is comparing the cost of two companies.

Let us represent additional guests = g

Lazer Zone charges $50 for parties, and an additional $10 per guest.

=$50 + $10 × g

50 + 10g

For fun place

Fun Palace charges $90 for parties, and an additional $6 per guest.

= $90 + $6 × g

90 + 6g

For how many ?

We equate both Equations together

= 50 + 10g = 90 + 6g

Collect like terms

10g - 6g = 90 - 50

4g = 40

g = 40/4

g = 10

Hence, g = 10 guests

Therefore, the number of guests for which the cost of both companies is the same is 10 guests

True or False? The quotient to this expression is negative 9/10 ÷ (−6/12) (9/10 and 6/12 are fractions.)

Answers

Answer:

Hello! Your answer is, True

Step-by-step explanation:

Hope I helped! Ask me anything if you have any questions! Brainiest plz! Hope you make an 100% and have a wonderful day! -Amelia♥

HELP ILL GIVE BRAINLIEST

Answers

Answer:

in fractions: 0, 1/5, 2/5, 3/5, 4/5, 1 (5/5)

in percents: 0%, 20%, 40%, 60%, 80%, 100%

Step-by-step explanation:

all the fractions line up with the percents

Answer:

This is the model i made

What is 9 x 7 squared

Answers

Answer: 441

Step-by-step explanation:

What is the height of the cone below? ​

Answers

The height of the cone is h = 27

Formula:-

Step 1:-

The volume of the cone is  V=\frac{1}{3} (base)(height)V=31(base)(height)

Given volume is V= 45 in^ 3

Given base of the cone is B= 5 in^2

Step 2:-

by using formula, we get solution

45 = \frac{1}{3} (5)(h)45=31(5)(h)

cross multiplication, we get

\frac{45 x 3}{5} =h545x3=h

now simplification, the height of the cone is h = 27

sauce: brainly

Answer:

27 in.

Step-by-step explanation:

Firstly, let's look at what we do know. We need to find the height of a cone and we know the area of the base (B) and we know the volume of the cone.

The first step is to determine the radius of the base, which we can use later.

The area of a circle is A = π r^2, so when we plug in the given information

5 = π r^2

And now we can solve for the radius

5/π = r^2

√(5/π) = r

r = 1.26

Now that we have the radius of the base, we can find the height of the cone using the volume formula.

V = π r^2 (h/3)

45 = π (1.26)^2 (h/3)

45 = π (1.59) (h/3)

45/(1.59π) = h/3

9.01 = h/3

3(9.01) = h

h = 27 in

Find each sum. (3n2 – 5n + 6) + (–8n2 – 3n – 2) = –11n2 – 8n – 4 –11n2 – 2n + 4 –5n2 – 8n + 4 –5n2 – 2n – 4

Answers

Answer:

-5n² - 8n + 4

Step-by-step explanation:

Given the expression

(3n²– 5n + 6) + (–8n²– 3n – 2)

Expand the bracket

3n²– 5n + 6 –8n²– 3n – 2

Collect the like terms

3n²-8n²-5n– 3n – 2+6

-5n² - 8n + 4

This gives the required result

C: -5n^2 - 8n + 4

The answer to the second question is 4, 11, and 5.

A triangle has vertices at (3, 2), (-4,4), and (-2,5). What are the coordinates of the vertices of the image
after the translation (x,y) → (x +5, y - 1)?
Prin
The coordinates are (3, 2) →
and (-2,5)
Complete the description of the translation.
The triangle is translated
unit(s) to the right and
unit(s) down.

Answers

Answer:

The triangle is translated 2 units down and 4 units to the right.

Step-by-step explanation:

A ladder that is 30 feet long is placed against a house. The location of the ladder is 8 feet from the base of the house. How far up the house does the ladder reach? Round your answer to the nearest tenth of a foot

Answers

Answer:

28.9 m

Step-by-step explanation:

30²-8²=900-64= 836

√836 = 28.9 m

The Ladder reach 28.91 ft. up the house which is 8 ft. away from the base.

What is pythagoras theorem?

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Here, Given, length of ladder ( Hypotenuse ) = 30 ft.

Distance from base = 8 ft.

By Pythagoras theorem,

Hypo.² = perp.² + base²

30² = x² + 8²

900 = x² + 64

x² = 900 - 64

x² = 836

x = √836

x = 28.91 ft.

Thus, the Ladder reach 28.91 ft. up the house which is 8 ft. away from the base.

Learn more about Pythagoras theorem from:

https://brainly.com/question/343682

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0.16x^2-49, factor using special products

Answers

Answer:

(.4x+7)(.4x-7)

Step-by-step explanation:

4. Gloria makes $750 a week PLUS
3% commission on her sales.
Her sales were $1000 for the week.
How much did Gloria earn for the
week?

Answers

She earned 780 dollars, hope this helps

write 3.402 as a fraction.

Answers

Answer:

that as a fraction is 3 and 201 over 500

Answer:

3 402/1000 = 3 201/500 simplified or 1701/500 as an improper fraction

Step-by-step explanation:

Imagine the center of the London Eye Ferris Wheel is located at (0, 0) on a coordinate grid, and the radius lies on the x-axis. Sketch an image of what your Ferris wheel would look like on the grid. You may sketch your picture by hand or use a virtual tool such as GeoGebra. Be creative!!!!

Answers

Answer:

u must sketch what u see when u close ur

Tim asked 128 people whether or not they eat a healthy diet and whether they get regular exercise. The result of Tim's survey are shown in the Venn diagram below. One number is missing from the diagram.

Answers

You are reading an article in your school newspaper

AB is parallel to ED.

ACD and BCE are straight lines.

AB = 8 cm

AC = 4.8cm

BC = 6.4cm

ED = 20 cm

Work out the length of BE.​

Answers

Answer:

BE = 22.4 cm

Step-by-step explanation:

Δ CAB and Δ CDE are similar , then ratios of corresponding sides are equal, that is

[tex]\frac{CB}{CE}[/tex] = [tex]\frac{AB}{DE}[/tex] , substitute values

[tex]\frac{6.4}{CE}[/tex] = [tex]\frac{8}{20}[/tex] ( cross- multiply )

8 CE = 128 ( divide both sides by 8 )

CE = 16 cm

Then

BE = BC + CE = 6.4 + 16 = 22.4 cm

The floor of the school music room is being tiled. The room is shaped like a parallelogram. The parallelogram has a base of 25 feet and a height of 11 feet. Each package of tile will cover 5 square feet. How many packages of tile will be needed to tile the music room floor? A=bh *

Answers

Answer:

Number of tile package need = 55 package of tile

Step-by-step explanation:

Given:

Base of parallelogram = 25 feet

Height of parallelogram = 11 feet

Each package of tile cover = 5 square feet

Find;

Number of tile package need

Computation:

Area of parallelogram = Base of parallelogram x Height of parallelogram

Area of parallelogram = 25 x 11

Area of parallelogram = 275 square feet

Number of tile package need = Area of parallelogram / Each package of tile cover

Number of tile package need = 275 / 5

Number of tile package need = 55 package of tile

7. The local theatre performed a Saturday matinee to a crowd of 215 people. Tickets cost $11 child and $15 per adult, bringing in a total of $2877. Use an inverse matrix to determine the number of each type of ticket sold .

Answers

Answer:

The total number of child ticket sold  = 87

The total number of adult ticket sold = 128

Step-by-step explanation:

Given -  The local theatre performed a Saturday matinee to a crowd of 215 people. Tickets cost $11 child and $15 per adult, bringing in a total of $2877.

To find - Use an inverse matrix to determine the number of each type of ticket sold .

Proof -

Let the total number of child ticket sold = x

Let the total number of adult ticket sold = y

Given that, The local theatre performed a Saturday matinee to a crowd of 215 people.

⇒x + y = 215

Also,

Given that,  Tickets cost $11 child and $15 per adult, bringing in a total of $2877

⇒11x + 15y = 2877

So,

The equations becomes

x + y = 215

11x + 15y = 2877

So,

The matrix form becomes

[tex]\left[\begin{array}{ccc}1&1\\11&15\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}215\\2877\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}1&1\\11&15\end{array}\right| \left\begin{array}{ccc}215\\2877\end{array}\right ] \\\left[\begin{array}{ccc}1&1\\0&4\end{array}\right| \left\begin{array}{ccc}215\\512\end{array}\right ] \\\left[\begin{array}{ccc}1&1\\0&1\end{array}\right| \left\begin{array}{ccc}215\\128\end{array}\right ]\\\left[\begin{array}{ccc}1&0\\0&1\end{array}\right| \left\begin{array}{ccc}87\\128\end{array}\right ][/tex]

By comparing, we get

x = 87

y = 128

So, we get

The total number of child ticket sold = x = 87

The total number of adult ticket sold = y = 128

The diagram shows a solid triangular prism. Height 6cm width 4cm length 10cm the prism is made from wood with a density of 0.8 g/cm3 work out the mass of this prism

Answers

Answer:

Step-by-step explanation:

The mass of the given triangular prism with a density of 0.8 g/cm³ is 96 grams.

What is the volume of a prism?

The volume of a prism is the total space occupied by it.

What is the density of a prism?

The density of a prism is the mass occupied by the 1 cubic unit volume of the prism. The formula for the density of a prism is:

Density = Mass/Volume

How do we solve the given question?

In the question, we are given a triangular prism of height 6cm, width 4cm, and length 10cm. Its density is given as 0.8 g/cm³.

We first find the volume of the prism.

The volume = Area of triangle*length = ((1/2)*6*4)*10 cm³ = 120 cm³.

Let the mass of the prism be m grams.

We know the density of the prism is given by the formula,

Density = Mass/Volume

or, 0.8 = m/120

or, m = 120*0.8

or, m = 96

∴ The mass of the given triangular prism with a density of 0.8 g/cm³ is 96 grams.

Learn more about density at

https://brainly.com/question/1354972

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DONT SKIP . URGENT WILL GIVE BRAINLIEST.
Question 8 of 10
What is the distance between points D and E?
6
4
3
2
D(42)
!
S4 3 2
-1
-1
3 4 5
E (42)
- یہ دن من
4
-5
O A. 5 units
OB. 4 units
O C. 2 units
O D. 6 units

Answers

B. 4 units

To find this you add 2 and -2 as if -2 was positive. Since the x-axis is the same,4, you don't have to do anything.

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