A scale drawing of a square object has a scale of 1 in. : 5 mm. The scale drawing has a length of 2.5 inches. Find the perimeter and the area of the object in the scale drawing. Then find the perimeter and area of the actual object.

Drawing Actual
Perimeter:__in. Perimeter:__mm
Area:__inches^2 Area:__mm^2

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

Square objects have four sides of equal length

so the perimeter of the drawing will be   4 * 2.5 = 10 inches

  area of drawing = 2.5 x 2.5 = 6.25 in^2

 

the actual object will have side lengths

       2.5 in  / 1 inch/ 5mm = 12.5 mm

   four sides each 12. 5 mm = 50 mm

      area of object = 12.5 x 12.5 = 156.25 mm^2


Related Questions

Edulastic
Full explanation please
*will give brainlist if able to :)

Answers

Answer:

50 degrees

Step-by-step explanation:

If AB is congruent to BC, then angles BAC and BCA are congruent.

Angle DCB+ angle BCA= 180 degrees

180 degrees- 115 degrees= 65 degrees

It means that angles BCA and BAC (which are congruent) are equal 65 degrees.

Sum of angles i side a triangle is 180 degrees so:

180 degrees- 2*65 degrees= 180 degrees- 130 degrees= 50 degrees

The angle ABC is equal to 50 degrees.

Write an equation of the line with a slope of 0 and y -intercept of 5 .

y =

Answers

Answer:

y = 5

Step-by-step explanation:

y = mx + c

y = 0x + 5

y = 5

This gives a flat line where y is always 5

which of the following statements are true​

Answers

Answer:

B, D, E

Step-by-step explanation:

Got it right on edge 2022

HELP ME PLEASE! I HAD BEEN ON DIS QUESTION FOR TOO LONG!

Which comparison is correct?

7 < |7|
-5 < -4
|5| > 7
|-5| < -4

Answers

Answer:

-5 < -4

|X| - this is read as magnitude of X and it means take the positive of that number X.

meaning if the number X is negative you can ignore the negative and write the positive value of the number.

so now:

|7| = 7

|5| = 5

|-5| = 5

7 = |7| not 7 < |7|

-5 < -4 is correct since on the number line numbers to the left are lesser than numbers on the right and -5 is on the left of -4 on the number line

|5| < 7 since |5| is just 5 and 5 is less than 7

|-5| > -4 not -5 < -4 since |-5| is 5 and 5 is greater than -4

hence correct answer is the second one

. Mrs. Rojas deposited $8000 into an account paying 4% interest annually. After 8 months Mrs. Rojas withdrew the $6000 plus interest. Altogether, how much money did Mrs. Rojas withdraw? What fraction of a year's interest was earned? 760​

Answers

well, keeping in mind that a year has 12 months, that means that 8 months is 8/12 of a year, when Mrs Rojas pull her money out.

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$6000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\to \frac{8}{12}\dotfill &\frac{2}{3} \end{cases} \\\\\\ A=6000[1+(0.04)(\frac{2}{3})]\implies A=6000\left( \frac{77}{75} \right)\implies A=6160[/tex]

well, she put in 6000 bucks, got back 160 extra, that's the interest earned in the 8 months.

what if she had left her money for 1 whole year, then

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$6000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\dotfill &1 \end{cases} \\\\\\ A=6000[1+(0.04)(1)]\implies A=6240[/tex]

so had she left it in for a year, she'd have gotten 6240, namely 240 in interest, well, what fraction of a year's interest was earned? or worded differently, what fraction is 160(8 months) of 240(1 year)?

[tex]\cfrac{\stackrel{\textit{for 8 months}}{160}}{\underset{\textit{for 12 months}}{240}}\implies \cfrac{2}{3}[/tex]

the number 94 is decreased to 86. what is the percentage by which the number was decreased, to the nearest tenth of a percent?

Answers

Answer:

8.5%

Step-by-step explanation:

8.5% of 94 is 7.99 which is closest we can get round to the nearest tenth of a percent.

What is the rate of change in the function below? y=2x+7

Answers

Answer:

2

Step-by-step explanation:

m is the slope

y=mx+b

y is equation

m is slope (movement)

b is base

Find the cost of 20cm at 75 per m

Answers

Answer:

20cm = 0.2 m

The cost

= 0.2 x 75

= $15

Answer: 15

______
Step-by-step explanation:

Calculate
75 x 20/100

Cross out the common factor
3 x 20/4

Calculate
3 x 5

= 15

(Hope it helps!)

if the population of a city is 158,000 and is
decreasing by 8% every year, what will the
population be in 5 years?

Answers

Answer:

~ 104 135

Step-by-step explanation:

Decreasing by 8% each year means  92% is left each year

Formula

  FV = PV ( i)^n       FV = population in future  PV = pop now  

                                       i = 92% in decimal form = .92     n = years = 5

FV = 158000(.92)^5 = 104135

A percentage is a way to describe a part of a whole. The population of the city after 5 years will be 104135.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that the population of a city is 158,000 and is decreasing by 8% every year. Therefore, the population of the city after 5 years will be,

Population after 5 years = 158,000(1-0.08)⁵

                                          = 158,000 × 0.659

                                          = 104134.8807 ≈ 104135

Hence, the population of the city after 5 years will be 104135.

Learn more about Percentages:

https://brainly.com/question/6972121

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A population of 50 timber wolves was introduced into a forest in 2009. The population is expected to grow by the function p(t)=50e. 85t, where t is in years.


a) What will be the population in 2015? Show your work

Answers

Answer:

The population is expected to grow by the function p(t)=50e.85t, where t is in years.a) What will be the population in 2015?

Step-by-step explanation:

18 YEARS AGO MIKE STARTED HIS
SAVINGS ACCOUNT WITH $4,500.00 From
THE SALE OF HIS CAR TODAY, MIKE'S
ACCOUNT HAS*23,400.00
WHAT IS THE INTEREST RATE ON THIS
ACCOUNT?

Answers

Answer:

23.3%

Step-by-step explanation:

Formula: I=PRT (Interest=Principal*Rate*Time)

I=23400-4500=18900

18900=4500*R*18

18900=81000R

R=18900/81000=0.233... Rounds to 23.3%

Determine the interval(s) on which the given function is decreasing.


Polynomial going up from the left and passing through the point negative 1 comma 0 and going to a relative maximum at the point 0 comma 5 and then going down to a relative minimum at the point 1 comma 4 and then going up to the right



(–∞, –1) ∪ (1, ∞)

(–1, ∞)

(–∞, 0) ∪ (1, ∞)

(0, 1)

Answers

Answer:

  (d)  (0, 1)

Step-by-step explanation:

The function is "decreasing" where it is "going down."

Your problem statement describes the decreasing interval as being between the relative maximum at (0, 5) and the relative minimum at (1, 4).

The interval of decrease is (0, 1).

elisha has 5.67 bags of coffee. a full bag weighs 4.2 pounds how many pounds of coffee does elisha have?​

Answers

Answer:

23.814

Multiply the amount of bags by the amount of pounds in each bag.

[tex]5.67 * 4.2 = 23.814~pounds[/tex]

Emma is an artist and has created 7 paintings. She plans to paint 3 additional paintings each week. What statements are true of this scenario? Check all that apply.

Answers

Answer:

The dependent variable is the total number of paintings; The total number of paintings depends on the number of weeks that have passed; and This scenario is a function because for each week that passes, there will be exactly one total number of paintings.

Step-by-step explanation:

Use the answer to "check all that apply"

20/23 as a decimal rounded to the nearest tenth

Answers

Answer:

0.9

Step-by-step explanation:

20/23 = 0.869565217, which rounded to the nearest tenth is 0.9

What value of n makes the equation 4(0.5n − 3) = n − 0.25(12 − 8n) true?

3




-9




0




-1

Answers

Answer:

n = -9

Step-by-step explanation:

4(0.5n − 3) = n − 0.25(12 − 8n)

2n - 12 = n - 3 + 2n

2n - 12 = 3n - 3

2n - 3n =  - 3 +12

-1n  = 9

n = -9

Help me asap!!!
Stem leaf
1
2, 4, 8
2
3,3,5
3
Mean=
2, 5
Median =
Mode =
Range =
-
-
A triangle has angles measuring 35º and 65º. What is the measure of the triangle's third

Answers

Answer:

Mean=30

Median=30.5

Mode=None

Range=11

Step-by-step explanation:

The mean is all the numbers added together then divided by how many numberes there are.

24+28+33+35=120

120/4=30

Median is the the middle of the data set when arranged least to greatest. Since its a even number the median will consist of two numbers. 28 and 33

28+33=61

61/2=30.5

Mode is the number most seen in the data set. Theyre all seen once so no mode

Range is the highest value subtracted from the lowest.

24-35=11

Can you see a hypercube?

Answers

Answer:

you would use your eyes

Step-by-step explanation:

There is no other way to see a hypercube. this question does not even make sense, lol.

This is due tonight please help!

Answers

C. 3^6 or 729 in a alternative form.
D. 49/9 . or in simplest form 5 4/9 . or in decimal form 5.4

Sam ran 2
5
4

miles last weekend. This weekend he ran 3
5
1

miles. How many miles did he run in all?

Answers

In total he ran 19 miles based off of how the question looks. It looks like I needed to add each number up.

The graph of a linear function is shown on the grid.
Which function is best represented by this graph?

Answers

Answer:

its the fourth one g(x)=-⅔x+4

Step-by-step explanation:

the incline of the graph is down , and the point the graph meets y axis is +4

Answer:nits c

Step-by-step explanation:

What’s the answer to this problem?

Answers

Answer:

Step-by-step explanation:

LA (Lateral area) = P (perimeter of the base) x h (distance between bases)

LA = 3 x 2

LA = 6

SA (surface area) = LA (Lateral area) + (2 x B (Area of the base))

SA = 6 + (2 x 0.25)

SA = 6.5m²

Answer:

7

Step-by-step explanation:

if you imagine the shape in your head, there would be 3 rectangles and 2 triangles.

so if you want the surface area of the entire shape, you have to add the areas of each of these sides

the area of 1 triangle is (1*1)/2 = 0.5

the area of 1 rectangle is more complicated:

you would have to work out the rectangles height, which is the hypotenuse of the triangle. so you use Pythagoras, and you get 1 (if you don't know how to do this search up Pythagoras theorem)

so now you can get the area of the rectangle: 1*2 = 2

3 rectangles : 2*3 = 6

2 triangles : 0.5 * 2 = 1

6+1 = 7

tbh I'm not sure if you need to do all of this since it does say "estimate" but I'm not sure how you would estimate it.

What is the measure of the missing angle?

Answers

Answer:

for find

97 + 47

144

so --

triangle property

180 - 144

36

missing angle is 36

Answer:

36°

Step by step explanation:

✿Determine the measure of angle x

Step 1:

Add together the known angles

97° + 47° = 144°

Step 2:

Subtract the sum from 180°

180° - 144° = 36°

"so the final answer would be the missing angle"

Figure ABCDE is similar to figure LMNOP.

10 in

M

9 in

L

7. 5 in

B

D

pin

N

12 in

A

8 in

E

What is the value of p in inches?

A. 6 in

B. 10. 6 in

C. 10. 8 in

D. 7. 5 in

Answers

C 10.8 in would be the answer

Ramon and Hector ride their bikes at constant rate during race Raven rides 45 miles and 3 hours the distance Y in miles hector rides in x hours is given by the equation y=18x

Answer choices:

Ramon rides his bike 3 miles per hour faster than Hector it rides his bike

Ramon rides his bike 27 miles per hour faster than Hector rides his bike

ramon rides his bike 3 miles per hour slower than Hector rides his bike

Ramon rides his bike 27 miles per hour slower than Hector rides his bike ​

Answers

The third option is right. Raman rode 3miles/hr slower than Hector

Step-by-step explanation: Distance covered by Raman is 45miles In 3hours., his speed is 15miles/hr

Raman: 45=15×3 (45miles in 3hrs)

Hector: y=18× (54miles In 3hrs)

Distance = speed ×time

Explain how you can know whether a system of linear equations will have no solution.

Answers

A system of linear equations has one solution when the graphs intersect at a point. No solution. A system of linear equations has no solution when the graphs are parallel.

Can yall help me with this

Answers

Answer:

2 the elevators height after one second

helppppp pleaseeeeeee.

Answers

The area of the figure which consist the two semicircles and one rectangle with 4×8 ft dimensions is 44.6 ft².

What is the area of a rectangle?

Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

A=a\times b

Here, (a)is the length of rectangle and (b) is the width of the rectangle

The given figure is in two parts. It is made with 2 semicircles and 1 rectangle. The length of the rectangle part is 8 ft and width of it is 4 ft long. Thus, the area of this part is,

[tex]A_r=8\times4\\A_r=32\rm\; ft^2[/tex]

There are two semicircles, which make one complete circle. Thus, the area of this two semicircle with radius 2 ft, is,

[tex]A_c=\pi \times2^2\\A_c=12.57\rm\; ft^2[/tex]

Thus, the area of this composite figure is,

[tex]A=A_r+A_c\\A=32+12.57\\A=44.57\rm\; ft^2\\A=44.6\rm\;ft^2[/tex]

Thus, the area of the figure which consist the two semicircles and one rectangle with 4×8 ft dimensions is 44.6 ft².

Learn more about the area of rectangle here;

https://brainly.com/question/11202023

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Find the value of x. B 5x10 580 3x-10 11x+2 E L/X+5 1100 25 X+15


pls help :((​

Answers

Answer:

i) x=11⁰

ii) x=21⁰

iii) x=25⁰

Step-by-step explanation:

You can find the complete solution in the given attachment

I hope it helped you

Frank works at a convenience store. He earns 7.50 per hour when he works during the day. He earns 12.50 per hour when he works at night. He wants to San at least 300 per week. Which graph best represents this situation?

Answers

Answer:

7.50x + 12.50y = 300

Step-by-step explanation:

7.50x+12.50y=300 hope this helps
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