Emily wants to make a scale drawing of her kitchen. Her kitchen is a rectangle with a length of 6m and a width of 2m. She decides on a scale of 1cm to 0.5m. If the kitchen door is 1.2m wide, how wide should the door be on the scale drawing? Be sure to include units

Answers

Answer 1

Answer:

2.4 cm

Step-by-step explanation:

The scaled dimension on the drawing [tex]=[/tex] (Scale-factor) [tex]\times[/tex] (Original dimension)

She decides to draw 1cm for the original length of 0.5m=50 cm.

For this, the scaled dimension on the drawing=1cm and

the original dimention=50 cm

So, the scale-factor = 1/50.

As the kitchen door is 1.2m wide, i.e the original width of the door is 120 cm.

So, the scaled width of the door is

[tex]120\times \frac{1}{50}=2.4 cm.[/tex]

Hence, on the drawing, the width of the kitchen door should be 2.4 cm.


Related Questions

Unit Test / 16 of 25
1 Pause
Josh practices free throws during basketball practice on Monday and Tuesday, On Monday, he attempts 15 free throws and 6 basketballs
went in the basket. Over both days, Josh wants at least 80% of his balls to go in the basket. If he makes every free throw on Tuesday,
what is the minimum number of free throws required on Tuesday to reach his goal?

Answers

Answer:

30

Step-by-step explanation:

For the minimum free throws, he must put every throw to the basket.

So, let n be the number of throws for Tuesday, in which all the throws are successful.

So, over both the days, total free throws he makes= 15+n.

Total numbers of throws that went in the basket= 6+n.

As he wants at least 80% of his balls to go in the basket.

So, 6+n is greater than or equal to 809% of 15+n, i.e

[tex]6+n\geq \frac{80}{100}\times (15+n)[/tex]

[tex]\Rightarrow 30+5n\geq 60+4n[/tex]

[tex]\Rightarrow n\geq 30.[/tex]

Hence, the minimum number of free throws required on Tuesday to reach his goal is 30.

4) Divide
(2x2 – 5x + 7) = (x - 3)

Please help me as much as you can.

Answers

Answer:

2x-  5/3x  -7/3

Step-by-step explanation:

yeah

The answer is 2x- 5/3x -7/3

I'm stuck brainliest to the first CORRECT ANSWER

Answers

Answer:

7.74 feet (approximate is 8 feet)

Step-by-step explanation:

Radius of the circle is r = 6/2 = 3

Area of the circle is A = π x 3^2 = 9π = 28.26

Area of the square = 6^2 = 36

Remaining board area = 36 - 28.26 = 7.74

Hope this helps! <3

Is 0.584... rational or irrational

Answers

Answer:

Its irrational since it’s never ending

Step-by-step explanation:

rational numbers are usually perfect squares and since that’s repeating it’s not A erfect square instead its irrational since it never ends

Answer:

0.584... is irrational

Step-by-step explanation:

This is because the decimal can't be made into a ratio or fraction because it doesn't terminate.

evaluate the determinant please answer i have limited time

Answers

See Explanation

Step-by-step explanation:

[tex] \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix} \\ \\ = 4 \times 1 - 3 \times 2 \\ \\ = 4 - 6 \\ \\ = - 2[/tex]

[tex] \begin{bmatrix} 4 & 2 & 6 \\ - 1 & - 4 & 5\\ 3 & 7 & 2 \end{bmatrix} \\ \\

=4(-4\times 2-5\times 7)\\ -2(-1\times 2-5\times 3)\\ +6(-1\times 7-(-4)\times 3)\\\\

= 4(-8-35) -2(-2-15) \\+6(-7+12)\\\\

= 4(-43) -2(-17) +6(5)\\\\

= - 172 + 34 + 30\\\\

= 64 - 172\\\\

= - 108 \\[/tex]

AP CAL AB!!!! HELP. A ladder 10 feet long rests against a vertical wall. Let θ be the angle between the top of the ladder and the wall, and let x be the distance from the bottom of the ladder to the wall. If the bottom of the ladder slides away from the wall, how fast does x change with respect to θ when θ=π/3 ?

Answers

Answer:

[tex]\displaystyle \frac{dx}{d\theta}=5\text{ ft/rad}[/tex]

Step-by-step explanation:

Please refer to the diagram below.

We can use the sine function. Recall that the sine function is the ratio between the opposite side and the hypotenuse. Hence:

[tex]\displaystyle \sin(\theta)=\frac{x}{10}[/tex]

We want to find how fast x changes with respect to θ. So, we want to find dx/dθ. Therefore, let's take the derivative of both sides with respect to θ:

[tex]\displaystyle \frac{d}{d\theta}[\sin(\theta)]=\frac{d}{d\theta}\left[\frac{1}{10}x\right][/tex]

Differentiate. Since it's with respect to θ, we can differentiate the left-hand side like normal. On the right, we will implicitly differentiate. This yields:

[tex]\displaystyle \cos(\theta)=\frac{1}{10}\frac{dx}{d\theta}[/tex]

Multiply both sides by 10. So, dx/dθ is:

[tex]\displaystyle \frac{dx}{d\theta}=10\cos(\theta)[/tex]

We want to find dx/dθ when θ is π/3. Thus, substitute π/3 for θ:

[tex]\displaystyle \frac{dx}{d\theta}=10\cos\left(\frac{\pi}{3}\right)[/tex]

Evaluate:

[tex]\displaystyle \frac{dx}{d\theta}=10\left(\frac{1}{2}\right)=5\text{ ft/rad}[/tex]

So, x is changing with respect to θ at a rate of 5 feet per radian.

Is there enough information given to prove that the following pairs of triangles are congruent explain why or why not if not describe the information could be added to guarantee congruence

Answers

C, d, and e are congruent


You need an angle measure and a equal lines to determine if it is congruent. If all three sides are equal, it is also congruent.

Mark decides to make his favorite lunch, grilled cheese! His recipe calls for 3 slices of cheese per one sandwich. He makes 6 sandwiches for the family on Friday.

Answers

Answer:

18 pieces of cheese

Step-by-step explanation:

3 slices x 6 grilled cheeses = 18 slices of cheese

Rasheed buys candy bars for $0.63 each. He sells them for $1.50 a piece. Write an equation
to show how many candy bars Rasheed will need to sell to make $522.00. Solve that
equation.

Answers

Answer:

$126

Step-by-step explanation:

Well first you would have to see how much the total sale of 700 chocolate bars is,

700*1.20=$840

Next you need to multiply the 15% thats going to club shirts,

$840*0.15=126

So your answer is $126

19/8 + 5/8 what is the answer to this

Answers

Answer:

24/8 or 3

Step-by-step explanation:

19/8 + 5/8

=> 19 + 5 / 8

=> 24/8

=> 3

If my answer helped, kindly mark me as the brainliest!!

Thanks!!

An item is regularly priced at $15. Raina bought it at a discount of 65% off the regular price. How much did she pay

Answers

Answer:

She paid $5.25

Step-by-step explanation:

You would multiply 15 times 0.65 and then subtract that from 15 or you could multiply 15 times 0.35 because 100-65 is 35.

Find the Greatest Common Factor of each pair of Numbers.
60 and 72; GCF
45 and 81: GCF:

Answers

60 and 72 is 12 GCF
45 and 81 is 9 GCF

Answer:

60,72 - 12

45,81 - 9

Starting with the first, on each of Gideon's birthdays, Dr. Prince deposits $1200 into an account earning 4.9% interest compounded annually.

What is the total amount in the account after the deposit made on Gideon's eighteenth birthday?

How much should Dr. Prince have deposited each year if he had wanted the account to be worth $76000 on Gideon's eighteenth birthday?

Answers

Answer:

74t+(-24x)

Step-by-step explanation:

Select the equations of the lines that are parallel to the line whose equation is y = 3x + 5.


-3x + y = 8
3y = 9x
y = - x
6x + 2y = 12

Answers

first one
add 3x to both
y=3x+8
they are parallel bc both have same slope which is 3x but have differnt y
one is 5 and 8

Answer:

-3x + y = 8 and 3y = 9x

Step-by-step explanation:

What term can you add to 5/6 x-4 to make it equivalent to 1/2 x-4

-1/3x

-1/3

1/2x

1/2

Answers

x= 12/5 = 2.400














x=12/5=2.400

h e l p .................

Answers

Answer:

The answer is 0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

It is going by two's but with negative numbers so if we go backwards it would be -6, -4, -2, then the blue dot which would be 0.

Which functions are symmetric with respect to the origin?

y = arcsinx and y = arccosx
y = arccosx and y = arctanx
y = arctanx and y = arccotx
y = arcsinx and y = arctanx

Answers

Answer:

The correct option is;

y = arcsinx and y = arctanx

Step-by-step explanation:

The given options are;

1) y = arcsinx and y = arccosx

Here, we have at the origin, where x = 0,  arccosx ≈ 1.57 while arcsinx = 0

Therefore arccosx does not intersect arcsinx at the origin for it to be symmetrical to arcsinx or the origin

2)  y = arccosxy and y = arctanx

Here arctanx = 0 when x = 0 and arcos x = 1.57 when x = 0 therefore, they are not symmetrical

3) y = arctanx and y = arccotx

Similarly, At x = 0, arccotx = 1.57 therefore, they are not symmetrical

4) y = arcsinx and y = arctanx

Both functions arcsinx and arctanx pass through the origin and their shapes are similar but inverted as they go from negative to positive.

The function are symmetric with respect to the origin is y = arcsinx and y = arctanx and this can be determined by using the trigonometric property.

The following steps can be used in order to determine which functions are symmetric with respect to the origin:

Step 1 - Check all the options given in order to determine which functions are symmetric with respect to the origin.

Step 2 - Substitute (x = 0) in option a), that is:

[tex]\rm y = sin^{-1}(0)=0[/tex]

[tex]\rm y = cos^{-1}(0)=1.57[/tex]

Step 3 - Substitute (x = 0) in option b), that is:

[tex]\rm y = cos^{-1}(0)=1.57[/tex]

[tex]\rm y = tan^{-1}(0)=0[/tex]

Step 4 - Substitute (x = 0) in option c), that is:

[tex]\rm y = tan^{-1}(0)=0[/tex]

[tex]\rm y = cot^{-1}(0)=1.57[/tex]

Step 5 - Substitute (x = 0) in option d), that is:

[tex]\rm y = tan^{-1}(0)=0[/tex]

[tex]\rm y = sin^{-1}(0)=0[/tex]

For more information, refer to the link given below:

https://brainly.com/question/13710437

Need asap 9th grade just answer no explanation

Answers

Answer:

(x-3)(x-2)

Step-by-step explanation:

none cause you dont want one

Find the equation of the line

Y= __x + __

Answers

Answer:

y=2x+5

Step-by-step explanation:

0,5

0,7

7-5 is 2

2/0 is 2

to check answer:

(2*0)+5

0+5

=5

See attachment for math work and answer.

need help on this asap pleasee:((

Answers

Answer:

hatdogkajsidnevwjqo

Free Response - calculator may be used. Please help 50 points and brainliest

Answers

Answer:

the answer would most likely be A

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

solutions of quadratic equations by extracting the square root .

1.3x²=27
2.x²-144=0
3.x²-20=25
4.4x²-16=36
5.(2x-1)² =36​

Answers

Answer:

1: x= 3

2:x=12

3:x= 6.7

4:x=3.6

The value of $y$ varies inversely as $\sqrt x$ and when $x=2$, $y=4$. What is $x$ when $y=1$?

Answers

$x=3$ I think that’s it... try that

I need help pls!!!!!!!!!!!!!!!!!!!!!!!!!!1

Answers

Answer:

Since 80 and 40 are both divisible by 40 and 10, 40 and 10 are factors of both 80 and 40.

Step-by-step explanation:

Somebody please help!

Answers

Answer:

17

Step-by-step explanation:

Plug 4 in, instead of x: 3(4) + 53(4) = 3 × 4 = 12Plug 12 in: 12 + 512 + 5 = 17

I hope this helps!

1/2 divided by 6/8= what do you think the answer is

Answers

(1/2)/(6/8) is KCF method into (1/2)(8/6) which is 8/12 or 2/3

At your job, you move 350 hundredweight barrels in one day. How many tons did you move?

Answers

Answer:

.175 tons

Step-by-step explanation:

350 pounds converts to .175 tons.

Please respond quickly

Answers

A should be the right answer. Hope this helped!

Answer:

5m-4

Step-by-step explanation:

The product of 5 and a number is written as 5(m) <--- any variable you chose.

The solution is 4 less than 5m.

So: 5m-4

Hope this helps ^^

Oranges cost 21 cent each. alex buy x and Bobby buys (x+2) oranges. The total cost of these oranges is $4.20

Answers

0.21x+0. 21(x+2)=4.20

5 less than the product of a number n and 3

Answers

Step-by-step explanation:

5 - 3n

I think sooooooo

Other Questions
What is the percent increase from $399.00 to $535.00?? I WILL MARK YOU AS BRAINLIEST Let f(x)=x218 and g(x)=17x. Perform the composition or operation indicated.f/g(8) Does the sentence below have a double negative? She isn't going to win, and I can't believe it. i don't understand how to solve this 136 - (-128.6) = What is the value of Y? Make a post of an English book youre currently reading:Title: Genre:Author:Overview:Recommended/Not recommended: Can someone tell me if it is correct please if m What symbolized the narrators guilt about killing Pluto in Edgar Allan Poes short story The Black Cat? why can't you turn pancakes back into the ingredients How many solutions do the following equations have? Please show steps8x + 10 = 8x - 7 Cash substitutes, such as credit cards or debit cards, are a safe alternative to carrying cash.falsetrue Which of the following are examples of nonlinear storytelling?Choose more than one answer.Events from the protagonist's past are told in flashbacksThe protagonist overcomes obstacles to achieve her goalA series of scenes follow the protagonist from childhood toadulthoodThe story begins with the protagonist's final battle againstthe antagonistThe protagonist returns home after successfully completinghis quest discuss the strategy of using the part of speech of a word to determine it's meaning I have a few questions but I don't have enough points to do each of them individually so here are my questions... tysm. so I'm writing a pursuasive essay on family benefits with a cat. I need help on how and what to write. I have 3 arguments, cats live as long as dogs do, cats are a better lap pet, and cats can reduce stress. What is the volume of a pencil box that is 10 cm high, 18 cm wide, and 1.6 cm long? *Hard*Look at attachment or picture Which female empresario brought many German settlers to Texas?a Mary Austin Holleyb. Frances Traskc. Jane McManusd. Patricia de la Garda de Leon Computisional Science