Merriam and Emmanuel assemble a new bookshelf. Its 1ft deep,4ft wide, and 8ft tall. They assemble it flat bit when they tip it up The shelf hits the ceiling. Why does it hit the ceiling

Answers

Answer 1

The maximum dimension of the shelf is given by the space diagonal

length of the shelf.

A possible reason why the shelf hits the ceiling is because the ceiling is

less than or equal to 9 feet from the ground.

Reasons:

The maximum height of the shelf is given as follows;

The diagonal of one of the side = √(8² + 4²)

The diagonal of the completed shelve = √((√(8² + 4²))² + 1²) = 9

The maximum extension of the shelve = 9 feet

Given that the shelf touches the ceiling, we have, that maximum height of

the ceiling = 9 feet.

Therefore, the shelf touches the ceiling because, height from the floor to

the ceiling is lesser than equal to 9 feet.

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Related Questions

Marian is making accessories for the soccer team. She uses 666.12 inches of fabric on headbands for 36 players and 3 coaches. She also uses 310.68 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?





I need help with this

Answers

Answer:

answe is about 23. something

Step-by-step explanation:

PLS HELP ASAP ILL GIVE BRAINLKEST THANKS

Answers

Answer:

A.  b ≤  -3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

C

Step-by-step explanation:

Explain why 4xy and 5x²y are not like terms.

Answers

They aren’t like terms became 5x^2y has an exponent

We could have the numbers
5x^2 and 5x and they wouldn’t be like terms because one has an exponent

Factorise: 3x²+17x+10

Answers

The answer is (x+5) (3x+2)

Answer:

(3x+2) (x+5)

Step-by-step explanation:

3x²+17x+10

SPLITTING OF MIDDLE TERM

3x²+15x+2x+10

COMMON FACTOR FROM PAIRS

3x(x+5) + 2(x+5)

= (3x+2)(x+5)

You have a coupon for 25% off the price of a mystery book that sells for $7.00. You also have one for 20% off the price of a science fiction book that sells for $6.25. You have $5.00. Which book can you afford to buy? Explain.​

Answers

Answer:  you can afford to buy both

as $1.75+$1.25 adds up to $3 leaving you $2 to spare.

Step-by-step explanation-

Mystery book: 25% of 7.00= 1.75 ($1.75)

Science Fiction: 20% of  6.25=1.25 ($1.25)

Answer:

You can afford the science fiction book.

Step-by-step explanation:

How to get the amount for the 25% coupon:

$7.00 × 0.25 = $1.75

To get the price of the mystery book using the coupon:

$7.00 - $1.75 = $5.25

The mystery book will cost $5.25.

How to get the price of the 20% coupon:

$6.25 × 0.20 = $1.25

To get the price of the science fiction book using the coupon:

$6.25 - 1.25 = $5.00

The science fiction book will cost $5.00.

You can afford to buy the science fiction book because you have $5.00 and that is the price of the book.  The mystery book costs $5.25 and you only have $5, which means that you don't have enough money to buy it.

Solve (MAFS.912.A-REI.2.3)

4
15= 2
+8

A. =1
2 B. =−1
2
C. =2 D. =−2

Answers

Answer:

c,=2d=-2

Step-by-step explanation:

Mr. Ocampo has two kind of fruit in his basket. The ratio of apples to oranges is 3:2. If there are 18 apples then how many pieces of fruit are there.

Answers

Answer:

There are 27 pieces of fruits

Step-by-step explanation:

Given, apples=18

ratio of apples to oranges =3:2

Now, x/18 =3/2

or, 2x=18*3

or, x=54÷2

x =27„

please mark as branliest answer

hope it helps you

Which table of values represents a linear function?

Answers

Answer:

I don't know it's very hart

A factory puts 5/8 of a gallon of vinegar into each batch of salad dressing. How many gallons of vinegar will be used in 2 batches?

Answers

Answer:

1 1/4

Step-by-step explanation:

[tex]\frac{5}{8} +\frac{5}{8}=\frac{10}{8}= 1 \frac{2}{8}= 1\frac{1}{4}[/tex]

five eighths plus five eighths equals ten eighths simplified to one and two eighths and simplified again to one and one fourth.

Explain well and I’ll mark brainliest

The mean of 79, 76, 55, 20, 14, 68, 30, 29, and is 52. Calculate the missing
value.

Answers

add all values together which is 371
and all the numbers plus one more is 8
which means 52x8 would be the total sum of all the numbers which is 416
so 416-371 is the last value which is 45

Answer:

Step-by-step explanation:

The mean of an equation is the average of it. For example, if I take 3, 4, and 5 and I want to find the average of it, I would add them up (12) and then divide by 3, because there are 3 terms. So the mean of 3, 4, and 5 is 4. Now in your equation, you must find another number. 79, 76, 55, 20, 14, 68, 30, 29 added up is 371. Now, because there are 8 terms, I would divide 371/8. 371/8=46.38.

I am not done. I must find the missing value. I am going to use the process of elimination to solve.  I hav etried all numbers in my calcualtor that equal a high number, and then got 468. I then divided 468 with a 97 and got 52. 52 is the Missing value.

Julie spent $15 on 3 headbands. Mary spent $48 on 8 headbands. How much more
did Mary spend per headband?
$5.50
$1
$2.13
$4

Answers

Based on the information given, the amount of money that Mary will spend more for the headband will be $1.

Since Julie spent $15 on 3 headbands, the amount per headband will be:

= $15/3 = $5

Since Mary spent $48 on 8 headbands, the amount per headband will be:

= $48/8 = $6

Therefore, we can then calculate the difference between the values that are gotten. This will be:

= $6 - $5 = $1

Therefore, the difference is $1.

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Find the average rate of change between x=2 and x=4 for the function. F(x)=3x^3-1

Answers

Answer:

84

Step-by-step explanation:

Average rate of change between x = 2 and x = 4 is:

[f(4) - f(2)]/(4 - 2) = (3*4³ - 1 - 3*2³ + 1)/2 = 168/2 = 84

[tex]\boxed{\sf Average\: change=\dfrac{f(a)-f(b)}{a-b}}[/tex]

[tex]\\ \sf\longmapsto f(x)=3x^3-1[/tex]

[tex]\\ \sf\longmapsto f(4)=3(4)^3-1=3(64)-1=192-1=191[/tex]

[tex]\\ \sf\longmapsto f(2)=3(2)^3-1=3(8)-1=24-1=23[/tex]

Average change

[tex]\\ \sf\longmapsto \dfrac{192-23}{4-2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{168}{2}[/tex]

[tex]\\ \sf\longmapsto 84[/tex]

Sam put $500 into a savings
account with a simple interest
rate of 6%. He earned $120 of
interest. How long was his
money in the bank?
.Write your response!

Answers

The money was in the bank 4 years

Answer: 6 years

Step-by-step explanation:

Answer Please will give brainliest.

Answers

Step-by-step explanation:

blue is natural: 1, 4, 0, 2 and root of 25.

green is whole: -9 and -15.

yellow is rational: 2/3

orange is irrational: pi and root of 15.

white is real numbers.

don't know about that purple one.

3. Sally invested $5,000.00 in a savings account earning 3.49% simple interest. At the same time
Jon invested $3,000.00 in a money market account at a simple interest rate of 7.5%. How many
years will it take for the two to have the same amount of money in their accounts? How much
money do they have after that time period?

Answers

Answer:

ic hch7y8gygdr6dr6d7twwt7tfx7yuc yc i

Determine if the point is a solution to the system of linear equations [tex] \huge \{{ \large \begin{array}{} 2x + 3y = 2 \\ 6y = 5 - 4x \end{array}} [/tex] ​

Answers

Answer:

The system has no solutions.

Step-by-step explanation:

If you stare at it for the bit you can tell the system is impossible. Let's see why:

First of all, rewrite the second equation by bringing all unknowns on the LHS:

[tex]4x+6y=5[/tex].

Then take twice the first equation, doubling every coefficient:

[tex]4x+6y=4[/tex] See how the LHS is the same? The system is asking you to find a quantity (4x+6y) which is at the same time equal to four AND five - emphasis on that "and" - which is obviously impossible, because it implies that 4=5. So the point - which you didn't provide - is not a solution. Nor is any other point.

You answer 21 out of 25 questions correctly on a test. Did you reach your goal of getting 80% or better?

Answers

Answer:

Yes

Step-by-step explanation:

20 needed to get 80 %. You got one more than that so you got slightly more. So yes you did. You can also make 25 to 100 and 21 x4 so  that gives you 84 % . So you scored %84.

Good job

Rewrite the following equation in slope-intercept form. 2x + 16y = 11 Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

y=-1/8x+11/16

Step-by-step explanation:

The slope-intercept form is y=mx+b. You have to move over 2x to the other side. After that you have to divide both sides by 16 to get to the y intercept form, so it would end up as y=-1/8x+11/16, where -1/8=m and 11/16=b

Annie bakes cookies and cupcakes in a ratio of 5 to 1 for her gift boxes. Her school needs 36 desserts to sell in a bake sale. How many cupcakes will she bake? How many cookies will she bake? Explain your answers.

Answers

Answer:

30 cookies and 6 cupcakes

Step-by-step explanation:

5+1=6

5:1=6

?:?=36

36/6=6

5x6=30

1x6=6

30 cookies

6 cupcakes

Choose ALL of the transformations that have been applied to the linear function below.
()=−2−4
(It’s multiple choice)
1.Reflected over x-axis
2.Vertical stretched
3.Shifted down 4
4.None of the above

Answers

Im so sorry! I wish I could help but you don’t seem to have a image that shows the linear function

order the values from least to greatest​

Answers

Answer:

[-1.8], [2.7], 3 2/5, [3.5]

thats the answer

Answer:

|-1.8| = 1

|2.7| = 2

|3.5| = 3

3 2/5 = 4

4.6 = 5

Step-by-step explanation:

Hope this helps!

what is the length of a short leg of a 30-60-90 triangle shown below?

Answers

Answer:

5

Step-by-step explanation:

since 30-60-90 triangles are special right triangles, we know that if the short leg=x, the long leg= xsqrt(3). so the short leg= 5 sqrt(3) /(sqrt(3) = 5

2) Find the area and perimeter of a semi -circular disc whose radius is 10cm. (take π = 3.14)

Answers

Answer:

Area =Pi r2

=3.14×10x10

=3.14×100cm2

=3.14cm2

Perimeter = 2 pi r

=2 ×3.14×10

=6.28cm

Or =Pi d

= 3.14 ×20cm

=62.8cm

Note:

R means radius

D means diameter

radius is half of a diameter e.g radius is10 and diameter is 20

I can recommend you watching yt videos it helped me alot

hoo this helps:)

the points (3,5) and (-2,10) lie on a line. what is the slope

Answers

Answer:

-1

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

 = ( 10-5)/(-2-3)

  =5/-5

  = -1

The answer is -1. Hope that helped.

20. The table shows the numberof days you keep a rented movie before returning it and the total cost of renting the
movie. Find the rate of change in cost with repect to time and interpret its meaning.
Time (days)
4
5
6
Cost (dollars)
6.00
8.25
10.50

Answers

Step-by-step explanation:

According to given table we have pairs of points:

(4, 6.00), (5, 8.25), (6, 10.50)

The rate of change is:

(8.25 - 6.00)/(5 - 4) = 2.25

or

(10.50 - 8.25)/(6 - 5) = 2.25

It is 2.25 and the meaning is:

Rental per day is $2.25

The Snyders went out to dinner and their bill was $54.15. How much would a 20% tip cost?

Answers

Answer:

$10.83

Step-by-step explanation:

bill/percent

The tip total would be $10.83. The total (bill plus the tip )would be $64.98.

Rudolph will spend $150 on tickets to the Reindeer Games. Reserved seat tickets cost $25 and general admission
tickets cost $10. Write an equation that describes the number of tickets Rudolph can buy_How many tickets can
Rudolph buy if he buys only reserved seat tickets? Only general admission tickets?

Answers

The equation that describes the number of tickets Rudolph can buy will be 25r + 10g = 150.

Let the reserved tickets be represented by r.Let the general admission be represented by g.

Therefore, the equation will be 25r + 10g = 150.

The number of tickets that Rudolph can buy if he buys only reserved seat tickets will be:

= $150 / $25 = 6

The number of tickets that Rudolph can buy if he buys only general admission tickets will be:

= $150 / $10 = 15

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i need help with how to reason it

Answers

Answer:

X=80

Step-by-step explanation:

As 100⁰ is Opposite to B and AD and EH Are PARALLEL so B=100⁰

180-100

=80⁰

MARK ME BRAINLIEST

What is the image of (4,8) after a dilation by a scale factor of 1/2 centered at the origin?

help quick pls

Answers

Answer:

The answer should be (1,-2)

Step-by-step explanation:

because 4x1/4=1 and -8x1/4=-2 just divided and the answer will be (1,-2)

What is the slope intercept equation from the graph?

Please help me thank u!

Answers

Answer:

y = -3/2x+3

Step-by-step explanation:

Pick two points on the line

(0,3) and (2,0)

Using the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 0-3)/(2-0)

  = -3/2

The y intercept is 3

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = -3/2x+3

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