A picture is 46 cm by 32 cm. A scale diagram of the picture must fit in a space that is 3 m by 2 m. Which scale would be the most reasonable one to use for the scale diagram?

Answers

Answer 1

Answer:

A picture that is 46cm by 32 cm must fit in a space that is 3m by 2m

First, let's rewrite both of these dimensions in the same units.

Knowing that:

1m = 100cm

Then the dimensions of the space can be rewritten from:

3m by 2m

to:

300cm by 200cm

So, if we enlarge our original picture by a scale factor K, the new dimensions of the picture will be:

K*46cm by K*32cm

Now we just need to find a value of K such that:

K*46cm is something near to 300cm

K*32cm is something near to 200cm

First, we can solve the equation:

K*46cm = 300cm

solving this for K we get:

K = 300cm/46cm = 6.5

While if we solve the equation:

K*32cm = 200cm

we get:

K = 200cm/32cm = 6.25

So we got two possible scale factors.

Which one we should take?

Notice that if we wanted to use the larger one (K = 6.5) for the 32cm side. the new length would be:

32cm*6.5 = 208cm

This is larger than the 200cm of space that we have

Then we can not select the larger option, we can only take the other value:

K = 6.25

Then we can conclude that a reasonable scale factor to use is K = 6.25


Related Questions

HELPPP EASY MATH IM IN 5 GRADE

Answers

I’ll help comment the questions and I’ll answer

Answer:

What's the question of the problem

Which ordered pair is a solution to the equation? 3x-4y=13

A, (3, 1)
B. (3, -1)
C. (-1, 3)
D. (1, 3)



Need asap (will give brainliest to the best answer*

Answers

The correct answer is B
When you put the values of x and y in the equation

3(3) - 4(-1) = 13

9 + 4 =13

13=13 (correct answer)

When you try putting the rest of the values in the equation the answer doesn’t match ,hence ,the correct answer is B.I hope I get the brainliest answer!

I need the answer urgent plssss

Answers

Answer:

4,6,14,18, and 20

Step-by-step explanation:

5. Which of these points is in the second quadrant?
A. (-3,0)
B. (-4,3)
C. (2, 2)
D. (2,-2)

Answers

Answer:

A

Step-by-step explanation:

A is locate in the second quadrant

Answer is A ur gonna get a 109 cause I’m so smart

solve one step equation



-3x = -9

Answers

Answer:

x = 3

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

Step-by-step explanation:

-3x = -9

You have to do the inverse operation to solve a linear equation. In this case, the operation is multiplication (-3x) and the inverse would be division.

Thus, we would divide both sides by the coefficient (-3)

-3x/-3  =  -9/-3

Thus, we isolate the variable x, and the result is

x = 3

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

Check:

To check our answer, all we have to do is substitute the value of x.

So, we would substitute the equation as

-3(3) = 9

-3 multiplied by 3 is -9, so our answer is correct.

solve the equation on the interval [0, 2π).
3(sec x)^2 -4=0

Answers

[tex] \: \: \: \: \: [/tex]

[tex]x = \frac{\pi}{6} , \frac{(k)\pi}{6} , \frac{(5)\pi}{6} , \frac{(k)\pi}{6} [/tex]

refer to the attachmenthope it helps

in a class of 40 students, only 20% of the students are participating in an art competition. how many students are not taking part in the competition?​

Answers

Answer:  32

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

Explanation:

There are two approaches.

Method 1)

20% of 40 = 0.20*40 = 8

Since 8 students are participating, this means 40-8 = 32 are not participating.

-----------

Method 2)

20% are participating, so 100% - 20% = 80% are not participating

80% of 40 = 0.80*40 = 32

Help!! I don’t understand these

Answers

Answer:

First one :

Function? Yes

Domain : { -1 , -2 , -3 }

Range { 10 , 13 , 16 }

Second one:

Function? No

Domain : { 2 , 3 }

Range : { 10 , 13 , 16 }

Third one :

Function ? No

Domain : { 33 , 35 , 36 }

Range : { 8 , 10 }

Step-by-step explanation:

A function is a relation where each input has its own output. In other words a function is a relation where each x value has its own y value. If an x value repeats the relation is not a function.

The domain is the set of x values in a relation whereas the range is the set of y values in a relation

For the first one. No x value repeats, each input has its own output therefore this is a function.

Domain : { -1 , -2 , -3 }

Range { 10 , 13 , 16 }

The second one : The x value 2 repeats therefore the relation is not a function.

Domain : { 2 , 3 }

Range : { 10 , 13 , 16 }

The third one : Each x value has its own y value therefore this relation is a function. ( Note that y values are allowed to repeat )

Domain : { 33 , 35 , 36 }

Range : { 8 , 10 }

h(x) = 4x + 3; Find h(1)

Answers

Answer:

h(1) = 7

Step-by-step explanation:

h(x) = 4x + 3

h(1) = 4(1) + 3

h(1) = 4 + 3

h(1) = 7

Prove how they are congruent. Geometry:SSS

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

For the given triangles to be congruent by SSS criterion, the sides HJ and LN should be equal ~

therefore correct choice is ~ C

[tex] \large \boxed{ \sf \: HJ \cong LN}[/tex]

The additional information needed to prove that both triangles are congruent by the SSS Congruence Theorem would be: C. HJ ≅ LN

Recall:

Based on the Side-Side-Side Congruence Theorem, (SSS), two triangles can be said to be congruent to each other if they have three pairs of congruent sides.

Thus, in the two triangles given, the two triangles has:

Two pairs of congruent sides - HI ≅ ML and IJ ≅ MN

Therefore, an additional information needed to prove that both triangles are congruent by the SSS Congruence Theorem would be: C. HJ ≅ LN

Learn more about SSS Congruence Theorem on:

https://brainly.com/question/4280133

If the measure of central angle is 57 degrees, what is the measure of its intercepted arc? (just write the number, no degrees)

Answers

If a central angle measures 57 degrees, based on the angle-arc relationship, the measure of its intercepted arc = 57 degrees.

Recall:

The image attached below shows the relationship between the measure of the central angle and its intercepted arc. Measure of central angle = its intercepted arc.

Thus, if the measure of a central angle = 57 degrees, based on the angle-arc relationship, the measure of its intercepted arc will also be 57 degrees.

Learn more about central angles on:

https://brainly.com/question/2548029

Please help with my math! I need the answer quick! :( *It's been so long since I've done the math LOL*

Answers

Answer:

unit rate 1:8

Step-by-step explanation:

Solve the following system of equations using the substitution method.

x = 2y
2x + 5y = 9

Answers

(2 x 2y) + 5y = 9
4y + 5y = 9
9y = 9
y = 1

From the given system of equation x = 2y and 2x + 5y = 9, using the substitution method we get the value of y = 1.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

We have given system of equation

x = 2y

2x + 5y = 9

Using the substitution method

2(2y) + 5y = 9

4y + 5y = 9

9y = 9

y = 1

Learn more about solving equations here:

https://brainly.com/question/18015090

#SPJ2

Given z varies jointly as x and y, use the given values to find an equation that relates x, y, and z.
x = 3, y = 8, and z = 54

Answers

Answer:

z = 2.25xy

Step-by-step explanation:

Given z varies jointly as x and y then the equation relating them is

z = kxy ← k is the constant of variation

To find k use the condition x = 3, y = 8 and z = 54 , then

54 = k × 3 × 8 = 24k ( divide both sides by 24 )

[tex]\frac{54}{24}[/tex] = k = 2.25

z = 2.25xy ← equation of variation

HELP ASAP!
The girls soccer team is trying to raise atleast $600 to pay for new uniforms. They have already raised $240 and are holding a car wash to raise the rest of the money. If they charge $8 per car at the car wash, how many cars will it take to raise the rest of the money for the new uniforms? Choose the inequality that beat represents the real-world situation.

Answers

Answer:

It will take at least 45 cars

Step-by-step explanation:

so to start subtract 240 from 600

you get 360 then divide 8

this leaves you with 45

plsssssssss answer it

Answers

The ANSWER to this question is c. -7

Answer:

Answer is -7

Step-by-step explanation:

coz if -2 equal only  

- answer so answer is

-7

Can someone answer this for me 9- 6x -8

Answers

Answer:

Combine like terms

Step-by-step explanation:

-6x + 1

Find the 12th term of the following geometric sequence.
10, 30, 90, 270

Answers

Answer:

1,771,470

Explanation:

10(3^n-1)

2x - 8 algebraic expression

Answers

Answer:

Because. I need to keep this balanced. I just bring down 2x I didn't do anything with him 8 minus 8 is 0 bring down my equal sign and 20 minus 8 is 12.

Step-by-step explanation:

can you me as brainliest if its right? i need 10000 points and 35 brainliest's to rank up to genius

Any help wit this ? Cause I’m kinda confused

Answers

Answer:

D. The hiker would climb up 46 meters

Step-by-step explanation:

It would make the negative cancel out and would make it 0. 0 is sea level

Answer:

D the hiker would climb up 46 meters.

Step-by-step explanation:

If the hiker is -46 meters from sea level, that means the hiker is 46 meters BELOW sea level. For them to return to sea level, they would have to increase their elevation 46 meters by going up 46 meters, to make it to sea level.

last question for this assiment​

Answers

Answer:

B. Distinct Parallel lines.

Step-by-step explanation:

jackie is saving money for a coat that costs $121 if she already has $61 and saves $15 each week in how many weeks can she buy the coat make a function table

Answers

Answer:

4 weeks

Step-by-step explanation:

Total cost of coat =  $121

Money saved = $ 61

Will save $15 per week  

So let x = number of week  = $15x

Money saved + will save = Total cost of the coat

$61 + $15x = $121

-$61            = - $61

           $15x = $60

                x  = $60 ÷ 15

                 x = 4

Which of the following is NOT on a credit report?

Answers

its the second one.
gender , it doesn’t really matter .

What percent of 80 is 10?

Carrie is driving to a friend’s house for the weekend. The friend lives in a town 160 mi. away. So far, Carrie has driven 64 mi. What percent of the drive does she have left?

Answers

Answer:

12.5% and 60%

Step-by-step explanation:

0.125 x 80 = 10

160-64 = 96

96/160 = 0.6

0.6 x 100 = 60%

2(6)-2x=3
CN someone answer? Use distributive property

Answers

Answer:

I think this is what you want:

2(6)-2x=3

We then see that 2(6) and 2(x) have two in common as a "coefficient" you could say, so we distribute and put parentheses around it.

2(6-x)=3

6-x=3/2

-x=-9/2

x=9/2

Pairs of markings a set distance apart are made on highways so that police can
detect drivers exceeding the speed limit. Over a fixed distance, the speed R
varies inversely with the time T. In one particular pair of markings, R is 59 mph
when T is 4 seconds. Find the speed of a car that travels the given distance in 5
seconds.

Please answer!!!

Answers

R = k(1/T) = k/T

when R = 60, T = 8

60 = k/8

k = 480

R = 480/T

so when T = 6

R = 480/6 = 80 mph

$2,000 loan at 8% for 5 years.

Answers

Answer:

$2,800 = Principle + Interest

Step-by-step explanation:

Using PRT/100, let's find the interest.

=> 2,000 x 8 x 5/100=> 20 x 8 x 5=> $800

Conclusion:

Therefore, the interest plus principle is 2,000 + 800, which is $2,800.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Yeahhh what they said ^^^^

What Is the answer to the two questions? 18 points! p.s. Brainliest

Answers

Answer:

Look at other page answer is there

Step-by-step explanation:

Is the graph increasing, decreasing, or constant?
O A. Decreasing
O B. Increasing
O C. Constant

Answers

Answer:

Increasing

Step-by-step explanation:

As we go further on the x-axis, we can see the Y value going up, thereforth it is increasing

I REALLY NEED HELP ON THIS

Answers

Answer:

It's D. 53.1°

Step-by-step explanation:

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