Please help: If the area of a rectangular picture of a stamp is 81 times greater than the actual stamp's area, and the stamp has a length of 4/3". what is the length of the stamp's picture?​
I know the answer is 12 inches but not sure how to get there so pls explain

Answers

Answer 1

Answer:

12 inches.

Step-by-step explanation:

We know that the length of the stamp is 4/3 inches.

Let the width be x inches.

Then the area of the actual stamp is:

[tex]\frac{4}{3}x\text{ inches}^2[/tex]

We know that the rectangular picture of the stamp is 81 times greater than the actual stamp’s area. Therefore, the area of the picture is 81 times the above. So:

[tex]81(\frac{4}{3}x)\text{ inches}^2[/tex]

So, the area of the rectangular picture is the area of the actual stamp multiplied by a scale factor k.

When we use the scale factor to scale area, we need to square it. Hence, the area of the actual stamp times the scale factor squared is equal to the area of the rectangular picture. Therefore:

[tex]\frac{4}{3}x(k^2)=81(\frac{4}{3}x)[/tex]

Let’s solve for the scale factor. Divide both sides by 4/3(x). Hence:

[tex]k^2=81[/tex]

Take the square root of both sides:

[tex]k=9[/tex]

So, the scale factor from the actual stamp to the picture is 9.

So, the actual stamp has a length of 4/3.

Then ThThe length of the stamp’s picture will be:

[tex]\frac{4}{3}k[/tex]

Substitute 9 in for k to get:

[tex]=\frac{4}{3}(9)=12[/tex]

So, the length of the stamp’s picture is 12 inches.


Related Questions

please help me with this problem

Answers

Answer:

aa

Step-by-step explanation:

a

If the two triangles are congruent below, what would be the value of x
**Look at the show your work area for the picture**

Answers

Answer:

Option d is the answer

Step-by-step explanation:

Given : Both triangles are congruent.

Then from C.P.C.T (Corresponding parts of congruent triangle)

AB = PQ

36 = 2x + 12

36 - 12 = 2x

24 = 2x

x = 24/2

x = 12

Hope it's help you.... ^_^ ❤️

w/4 = -8 i dont know how to get it

Answers

Answer:

So I believe the question is asking what number divided by 4 is equal to -8.

This is the same as saying 4 times -8 equals what

x=4 times -8

x= -32

The answer is -32.

A salesperson at a jewelry store earns 9​% commission each week. Last​ week, Jarrod sold $540 worth of jewelry. How much did he make in​ commission? How much did the jewelry store make from his ​sales?

Pls help I’m struggling

Answers

Answer:

Jarrod made $48.60 in commission and the store made $491.40.

Step-by-step explanation:

540 x .09 = 48.60

540 - 48.60 = 491.40

Answer:15.90

Step-by-step explanation:

Question 4

Describe the appearance of the graph of y = -4x+4.
a line that slopes up
V-shape that goes up then down
a line that slopes down
V-shape that goes down then up

Answers

Answer:

a line that slopes down

Step-by-step explanation:

Fraction
Decimal
Percent
Identify the values of the variables that complete the
table to show the equivalent fractions, decimals, and
percents
a=
12
1
11
5
3
1.6
1) Intro

Answers

Answer:

A=6/5

B=0.111

C=166 2/3%

Step-by-step explanation:

Answer:

look at photo!

Step-by-step explanation:

on edg:)

Please help....... thank you

Answers

the slope is 4/1 or 4 so the answer is b

Answer:

-1/4

Step-by-step explanation:

Hope this helped, Have a Great Day/Night!!

Which of the following shows 7.538 correctly rounded to the ones place?

Answers

Answer:

8.0

Step-by-step explanation:

7.538 start from 8 which is in the thousandth place. 8 will make the 3 turn into 4. 4 is too low so it doesn't change the 5. the 5 change the 7 to 8. so anything that is 5 and up you round up

The number 1.258201... can be classified as which of the following? Select all that apply.

Real
rational
irrational
whole
integer
natural

Answers

Answer:

IT IS A DECIMAL THAT RUNS ON SO IT IS IRRATIONAL

Step-by-step explanation:

Answer:

real and irrational

Step-by-step explanation:

PLEASE HURRY!

Each statement describes a transformation of the graph of y=x.
Which statement correctly describes the graph of

y= x + 7?

A. It is the graph of y= x translated 7 units up.

B. It is the graph of y= x where the slope is increased by 7.

C. It is the graph of y= x translated 7 units down.

D. It is the graph of y= x translated 7 units to the right.

Answers

Answer:

A

Step-by-step explanation:

+7 means go up

if the graph was 7x, the graph enlarges by a factor of 7

Answer:

A

Step-by-step explanation:

4. Daniel owns a street food business. He offers hot dogs at $2.10, slices of pizza ar
$3.70, and burritos at 14.30. This month he sold 1,884 hot dogs, 1,052 slices of pizza,
and 526 burritos. Which is the closest estimate of Daniel's total earnings this month?

Answers

Answer:

Step-by-step explanation:

The production rate of a steel factory is declining due to old machinery. Over the last eight days production has dropped by 1.2 tons. What is the average rate of change in steel production over the eight days? Express the answer in tons per day.

A.
+1.2
B.
-1.2
C.
+0.15
D.
-0.15
T_T

Answers

Answer:

The anser would be D

Step-by-step explanation:

Answer:

The answer is D on plato

Help me out pls!!!!!!

Answers

It is at (2,4) hope it helps

Answer:

the slope is 2

Step-by-step explanation:

use the two points to find the slope

start at the blue point go up 4 then over 2 to get to the red point.

the slope of 4/2 in other words 2

In how many ways can 3 singers be selected from 5 who came to an audition?

Answers

Answer:

10

Step-by-step explanation:

What is the source of the Nile? A. the Blue Nile and the White Nile B. the Khartoum River C. the highlands of West Africa D. the Mediterranean Sea

Answers

B didkfidjdidjddudhdudhdudhdudhdjd

Is this a right triangle?
15 m, 36 m, 39 m

Answers

Answer:

YES

Step-by-step explanation:

use pythagorean theorem

15^2 + 36^2 = 39^2

225 + 1296 = 1521

1521=1521

Answer:

Yes

Step-by-step explanation:

[tex]As\ we\ know\ that,\\The\ sides\ of\ a\ right\ triangle\ are\ pythagorean\ triplets\ in\ the\ form:\\a^2+b^2=c^2\\Here,\\39\ is\ the\ hypotenuse\ as\ it\ is\ the\ longest\ side.\\Hence,\\a^2+b^2=c^2\\Substituting\ a=15,b=36\ on\ the\ LHS,\\15^2+36^2\\=225+1296\\=1521\\On\ the\ RHS\ ,lets\ substitute\ c=39.\\Hence,\\c^2=39^2\\c^2=1521\\As\ LHS=RHS,\ The\ given\ triangle\ is\ a\ right\ triangle.[/tex]

Which expression is equivalent to p q?
p + q
p minus q
StartFraction p Over q EndFraction
q p

Answers

Answer:

its qp

Step-by-step explanation:

Answer:

The answer would be QP

Step-by-step explanation:

Another way to write it is Q x P. hope this helps :)

what is the answer to C​

Answers

Answer:

C = 15

Step-by-step explanation:

Both (7c-7)° & (6c-8)° if get combined will form a straight angle i.e. 180° because both the angles lie on the same line. So,

[tex]7c - 7 + 6c - 8 = 180°[/tex]

[tex] = > 13c - 15 = 180°[/tex]

[tex] = > 13c = 180 + 15 = 195[/tex]

[tex] = > c = \frac{195}{13} = 15[/tex]

This problem been encouraged hardness of geometry bisecting and letter pls answer this pls so

Answers

Answer: since LP is half a line and PN is also half a line, then LP and PN are equal

So PN=6

The answer to this is PN = 6

I need Help Fast Asap​

Answers

Answer:

C. 7.5

Hope it helps you

HELPPPP PLEASES!! (don't just comment for the points pls)

Answers

Answer:

I just started with Brainly, and just now saw your questions. I wish I had seen it when you first posted it.

There are two transformations here. The first one is a translation. You do that one by subtracting 3 from each x value in your two points, and 3 from each y value in your two points. The second is a 180 degree rotation about the origin.  Rotation of a point through 180°is the same whether you go clockwise or counterclockwise. You end up with a new point for each one that you have, where the x and y values of the point you are rotating are negated. (-x, -y).

Step-by-step explanation:

1. The first point, S, is (-2, -1) and the second, T, is (0, 2). After the translation, S' is (-2-3, -1-3) or (-5, -4). T' is (0-3, 2-3) or (-3, -1)

2. Now you have to rotate the figure by changing the signs of the x and y values of both the translated points, S' and T'.

S'' = (5, 4) and T'' = (3,1)

3. Graph S'' and T'' and connect them with a line segment, and you are finished.

The table shows the time Monique worked and the amount of money she earned during four different weeks.
Based on the information in the table, how much will Monique earn if she works 45 hours in a week?

Answers

Answer:

330

Step-by-step explanation:

You bought a car 5 years ago for $10,000. The car depreciates 12% a year. What is the car worth now?

Answers

Answer:

$4000

Step-by-step explanation:

12 x 5 = 60

60% of 10,000 = 6,000

10,000 - 6,000 = $4000

Please mark brainliest

which tranformation woulf map f(x) go to g(x)?
Please answer asap!​

Answers

Answer:

The correct answer is:

Vertically shift the graph of f(x) up 3 units

Step-by-step explanation:

The new function that is obtained by transformation is

g(x) = f(x) + 3

The +3 is not grouped with x that means that the function is shifted vertically.

Now the +3 means that the coordinates of y will be changes for each input which will shift the function upward.

Hence,

The correct answer is:

Vertically shift the graph of f(x) up 3 units

What is, ¹⁵⁄₁ times ⁹⁄₁

Answers

The answer is 135/1, or 135 as a whole.

Answer:

135

Step-by-step explanation:

happy to help!~~

While hiking, Eric ate 3/5 of a cup of nuts. Akira ate 1/10 of a cup of nuts. How much more did Eric eat than Akira?

Answers

Answer:

1/2

Step-by-step explanation:

3/5 - 1/10

6/10 - 1/10 = 5/10 = 1/2

PLEASE HELP FAST!!! WILL GIVE BRAINLIET IF YOU ANSWER ALL OF THE POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
How is an exponential function different from a polynomial function? Use specific examples to illustrate your points. Discuss the number of possible zeros, the behavior of the graphs, and possible real-world examples for each.

Answers

Answer:

-2 (2x - 3) = 26

Step-by-step explanation:

Answer:

An exponential function is a function that is defined by an exponential expression and written using function notation, and the variable is an exponent
example: f(x) = 3x

A polynomial function is a mathematical expression that has:
- one or more terms
- variables with only positive, whole number exponents
- no variables in the denominators of each term
example: p(x) = x3

Solve |x + 6| - 7 = 8

please help

Answers

Answer:

222222222222222222222

Ms. Alonzo was hired to build a scale model of a submarine for a naval history exhibit. She has the
measurements shown in the table.
Submarine
Scale Model
Width: 42 feet
Width: ?
Length: 560 feet
Length: 72 inches
If the model of the submarine will have a length of 72 inches, what will be the width of the model?
A. 1.7 inches
B. 5.4 inches
C. 7.8 inches
D. 13.3 inches

Answers

Answer:

13.3

Step-by-step explanation:

Simplify
5(x + 3) - x + 2

Answers

Answer:

4x+17

Step-by-step explanation:

5(x+3)-x+2

5x+15-x+2

4x+17

Step-by-step explanation:

5(x + 3) - x + 2

Let's simplify step-by-step.

5(x+3)−x+2

Distribute:

=(5)(x)+(5)(3)+−x+2

=5x+15+−x+2

Combine Like Terms:

=5x+15+−x+2

=(5x+−x)+(15+2)

=4x+17

Answer:

=4x+17

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