Throughout Lewis Carroll's book, Alice's Adventures in Wonderland, Alice's size changes. Her normal height is about 50 inches tall. She comes across a door, about 15 inches high, that leads to a garden. After drinking a potion, Alice's height changes to 10 inches so she can visit the garden. How tall would the door have been in Alice's normal world? Justify your answer and provide mathematical evidence. ​

Answers

Answer 1

Answer:

The answer is 75 inches.

Step-by-step explanation:

If Alice is 10 inches, she is 2/3 as tall as the door. At her regular height, to be 2/3 as tall as the door the door would have to be 75 inches high.


Related Questions

A roller coaster is at the top of a 72 m hill and weighs 134 kg. The coaster (at this moment) has____________ energy. Calculate it.
A. Kinetic Energy and 347,328J
B. Kinetic Energy and 9,648J
C. Potential Energy and 9,648J
D. Potential Energy and 94,550.4J

Answers

Answer:C

Step-by-step explenation: m=134kg,h=72m,g=10m/s

PE=mgh

PE=(134kg)(10m/s^2)(72m)

PE=964800J

A meteorologist reports that the temperature today will be colder than −1° Fahrenheit. The inequality is t < −1. The variable t represents the temperature.

A number line going from negative 2 to positive 2.

Which numbers are solutions of the inequality? Choose all that apply.
–2
0
1
–10
–3
–1

Answers

Answer:

its 145

Step-by-step explanation:

Answer:

D: –10

Step-by-step explanation:

edge2020

Can someone help me ASAP

Answers

You have to circle 4 equations to answer like group -2 3 and -1 and 6

Determine the amounts horizontally and vertically that the given point was translated.


1. A translated to B
2. A translated to C
3. D translated to B
4. C translated to D
5. B translated to C

Answers

Answer:

OPTION B I THINK SOOOO

PLS MAKA ME BRAINIST PLS

Step-by-step explanation:

HOPE YOU HELP

Answer:

1. x = 1

   y = -7

2. x = 9

   y = -5

3. x = -6

  y = -5

4. x = -2

  y = 3

5. x = 8

   y = 2

Step-by-step explanation:

Count until you get from the first point to the next.

Which is larger, 9 kilograms or 8,500 grams?

Answers

Answer: 9 kilograms

Step-by-step explanation:

9 kilograms is larger because the kilogram, or kilogramme, is the base unit of weight in the Metric system. It is the approximate weight of a cube of water 10 centimeters on a side. While a gram is a unit of weight equal to 1/1000th of a kilogram. A gram is the approximate weight of a cubic centimeter of water.

Use a calculator to evaluate the trigonometric functions of the given anglers. Round your answers to four decimal places. Please help

Answers

Answer: figure it out.

Step-by-step explanation: it's not hard, just put it in a calculator, knowledge...

A student wants to arrange four points to form a rectangle on a grid. She has already placed points at Syntax error. Where should she place the last point? PLEASE HURRRY

Answers

Question:

A student wants to arrange four points to form a rectangle on a grid. She has already placed points at (-4. 4). (-4, 8). and (4, 8). Where should she place the last point?

Answer:

[tex]D = (4,4)[/tex]

Step-by-step explanation:

Let the rectangle be ABCD

[tex]A = (-4,4)[/tex]

[tex]B= (-4,8)[/tex]

[tex]C = (4,8)[/tex]

Required

Determine the location of the last point

A rectangle has the following coordinates

[tex]A = (x_1,y_1)[/tex]

[tex]B = (x_1,y_2)[/tex]

[tex]C = (x_2,y_2)[/tex]

[tex]D = (x_2,y_1)[/tex]

From the given coordinates:

[tex]x_1 = -4[/tex] --- see x coordinates of A and B

[tex]x_2 = 4[/tex] --- see x coordinates of C

[tex]y_1 =4[/tex] --- see y coordinates of C

[tex]y_2 =8[/tex] --- see y coordinates of B and C

So:

[tex]D = (x_2,y_1)[/tex]

[tex]x_2 = 4[/tex]

[tex]y_1 =4[/tex]

The coordinates of the last point (D) is:

[tex]D = (4,4)[/tex]

Which expression fits this description? • The expression is the quotient of two quantities. • The numerator of the expression is the product of 5 and the sum of x and y. • The denominator is the product of negative 8 and x.

Answers

Answer:

[tex]\frac{5(x+y)}{-8x}[/tex]

Step-by-step explanation:

It is a fraction that usually has a numerator and denominator

the numerator is the number on top while the denominator is the number below

[tex]\frac{a}{b}[/tex]

In the above fraction, a is the numerator while b is the denominator

Numerator =5 × ( x + y)

Denominator = -8x ( negative means there is a negative sign before 8)

( product means multiplication)

[tex]\frac{5(x+y)}{-8x}[/tex]

I need help who ever get it right get brainly

Answers

Answer:

m<a = m<c since those two angles are vertical angles.

m<a + m<b = 90⁰ since, if you look closely m<a and m<b forms a 90⁰ angle that means it is equal to 90⁰.

Hope this helps and I would appreciate if you give me the brainlist or not thank you :) !!

The equation y = 10x + 15 represents a gym that charges. What is the slope and y-intercept?
O slope: 15, y-intercept: 10
O slope: 10, y-intercept: 15
Oslope: 5, y-intercept: 25
O slope: 25, y-intercept: 5

Answers

Slope is 10 and y-intercept is 15

Help me please with this question

Answers

Answer:

107cm

Step-by-step explanation:

The the answer is 107 because you have to add up all of the numbers.

the area of a triangle is 12 cm squared. If the base of the triangle is 4 cm what is the height​

Answers

Answer:

6 cm

Step-by-step explanation:


What is the slope of the line?
What is the y-intercept?
Write the equation of the line

Answers

Answer:

slope is 2

y-intercept is 3

equation y=2x+3

Step-by-step explanation:

Answer:

slope=4/2 or 2

y-intercept=3

equation=y=2x+3

the slope would be 4/2 because if you do the triangle method you see that the vertical distance of y is 4 and the horizontal distance of x is 2 so that gives you 4/2 the y intercept is where the line starts at 0 which you can see is 3. if the equation is y=mx+b you plug in the slope which is 4/2 or 2 and plug in the y-intercept which is 3 which gives you y=2x+3

Helpppp plzzz I will mark brainliestttt

Answers

307.72 in squared for lateral area.
615.44 in squared for total surface area.



please help me this is all my grade!!!!

Answers

We need to know the options

12 Units to the right of zero on a number line​

Answers

Answer:

12

Step-by-step explanation:

0 + 12 = 12

Answer:

12

Step-by-step explanation:

the 2 numbers 12 units away from 0 are 12 and -12

since it's to the right of 0, it's positive

What is the value of x in the circle on the right?​

Answers

X=sqrt of 29

Use Pythagorean Theorem!

a^2+b^2=c^2

C is the hypotenuse, so the biggest side, for us it’s 10.

9^2+x^2=10^2

81+x^2= 100

x^2= 29

X= sqrt29

Since x is the radius on both sides, the value will be the same :)

Heather has divided $5600 between two investments, one paying 9% the other paying 5%. If the return investment is $396, how much does she have in each investment?

Answers

Answer:

x = 2700 y=2900

Step-by-step explanation:

x+y = 5600

5/100 x + 9/100 y = 396

x+y=5600

5x+9y=39600

5x+5y = 28000

5x+9y=39600

-4y = -11600

y= 2900

x = 5600-2900 = 2700

0.9x. +0.6(5600-x)=396
9x + 6 (5600-x) =39600
9x + 33,600 - 6 = 39600
3x = 6000
X = $2000




So 2000 invested at 9% and 3000 invested at 5%


09(2000) + .05(3000) = 3300

plz help me with these questions tomorrow is my exam and i need to practice them

Answers

Answer:

good luck !!!!!!!

hope this help for you !!!!!

Sal wrote the statement below to represent the inequality 8 n minus 5 less-than 25. Which words should Sal use to complete the verbal statement?

The product of 8 and n decreased by 5 is _________________ 25.
less than
greater than
less than or equal to
greater than or equal to

Answers

Answer:

hi sorry for answering late but the answer is D)greater than or equal to

Step-by-step explanation: Have a nice day :)

Answer:

greater than or equl to

Step-by-step explanation:

just gave answer i think not sure and it d by the way

Find the missing side

Answers

Answer:

20

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2, where a and b are the sides and c is the hypotenuse

15^2 + b^2 = 25^2

225 + b^2 = 625

b^2 = 625 -225

b^2 =400

Take the square root of each side

sqrt(b^2) = sqrt(400)

b = 20

Dave buys a goat and sheep for a total price of £120 as is surprised to find that the goat was twice the price of the sheep..

He made twice as much profit on the sheep as he did on the goat having sold both for a combined price of £180.

What is the percentage profit on the sheep?

Answers

Answer:

Let's define:

G = cost of a goat

S = cost of a sheep.

We know that the total cost for a goat and a sheep is £120, then:

S + G = £120

And the cost of the goat is twice the price of the sheep, then:

G = 2*S

To solve this system, we can just replace the second equation into the first one, then we get:

S + (2*S) =  £120

3*S =  £120

S =  £120/3 =  £40

This means that each sheep costs  £40

And the cost of a goat is:

G = 2* £40 =  £80.

Now we know that he sold both of them, where:

s = price of the sheep

g = price of the goat.

We know that he sold both of them for £180, then:

s + g = £180

And the profit of the sheep is twice the profit of the goat, then:

(s - S) = 2*(g - G)

(s -  £40) = 2*(g -  £80)

s  -  £40 = 2*g -  £160

Then we have a system of equations:

s + g = £180

s  -  £40 = 2*g -  £160

To solve this, we first could isolate g in the first equation:

g = £180 - s

Replacing this in the other equation we get:

s - £40 = 2*( £180 - s) -  £160

s - £40 = £360 - 2*s - £160

s - £40 = £200 - 2*s

s + 2*s = £200 - £40 = £160

3*s = £160

s = £160/3 = £53.33

Then the percentage profit for the sheep is:

percentage profit = (s/S)*100% = (£53.33/£40)*100% = 133.3%

Then the percentae profit is 33.3%, which means that the sheep was sold at 133.3% of its original cost, leaving a profit of 33.3% of its original cost.

4) Madison's mom wrote the names of every day of the week on separate pieces of paper. Then she put the papers
in a hat. Madison would have to clean her room on the day that she blindly picked from the hat. What is the
probability that Madison will clean her room on a day that starts with the letter T'?
Talib

Answers

Answer:

2/7

Step-by-step explanation:

There are 7 days in a week, and 2 days start with the letter T.

Can someone help me with this?

Answers

Answer:

I think it's y= +10

not sure tho :))

Which line is tangent?

Answers

TR

Best luck with your studying
TSR is a tanget line

what is the slope between (5,0) and (6,0)

Answers

Answer:

m=0

Step-by-step explanation:

LAST QUESTION PLS HELP. (It's not solve for x)

Answers

Answer:

40

Step-by-step explanation:

So, if the angle shown, one of them is 70. the other is 110, because line is 180 degress, 180-70 = 110. C is 110. But, we need to find B. 13x + 6 must also be 70 degrees. 70-6 = 64. 64/13 = about 5. A is 100. The inner angles are 70+70+N. Angles in triangle are 180, so N is 180-70-70, which is 180-140. The B is 40 degrees.

Answer:

m∠ABC = 26°

Step-by-step explanation:

13x+6 + 8+3x + 70 = 180

16x + 84 = 180

16x = 96

x = 6

m∠B = 8+3(6) = 26°

Sekhar gives a quarter of his sweets to Renu and then gives 5 sweets to Raji. He has
7 sweets left. How many did he have to start with?​

Answers

Answer:

16 sweets

Step-by-step explanation:

Number of sweet that Sekhar had = x

Sweets given to Renu = (1/4) of x = [tex]\frac{1}{4}x[/tex]

Sweets given to Raji = 5

Remaining sweets = 7

[tex]x = \frac{1}{4}x +5 + 7\\\\x -\frac{1}{4}x = 12\\\\\frac{4*x}{1*4}x-\frac{1}{4}x = 12\\\\\frac{4x}{4}-\frac{1}{4}x= 12\\\\\frac{3x}{4}=12\\\\x = 12*\frac{4}{3}\\\\x=4*4\\\\x=16[/tex]

Please help! would really appreciate it.

Answers

Answer:

Step-by-step explanation:

Use Pythagorean theorem,

Base² + altitude² = hypotenuse²

15² +  altitude²  = 17²

225 +  altitude²  = 289

             altitude² = 289 - 225

             altitude² = 64

              altitude² = 8²

             altitude   = √8²

 altitude  = 8

P = 8 + 15 + 17 =  40 units

[tex]A= \frac{1}{2}*base * height\\\\ = \frac{1}{2}* 15 * 8\\\\= 15 * 4\\\\= 60 sq. units[/tex]

18% as a fraction in its simplest form

Answers

Answer:

9/50

Step-by-step explanation:

18% = 18/100

GCF of 18 and 100 = 2

(18 ÷ 2)/(100 ÷ 2)

9/(100 ÷ 2)

9/50

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