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

Solve the equation 5.3g + 9 = 2.3g+ 15
a. Find the value of g

Answers

Answer:

g=2

Step-by-step explanation:

5.3g+9=2.3g+15

5.3g-2.3g=15-9

3g=6

g=6÷3

=2

Answer:

g = 2

Step-by-step explanation:

5.3g + 9 = 2.3g + 15

Subtract 2.3g from both sides

3g + 9 = 15

Subtract 9 from both sides

3g = 6

Divide both sides by 3

g = 2

Where does the word logarithm come from.

Answers

Answer:

Logarithms were invented in the 17th century as a calculation tool by Scottish mathematician John Napier (1550 to 1617), who coined the term from the Greek words for ratio (logos) and number (arithmos

Please help with this math problem!! Its due tonight!! :)

Answers

Answer:

Step-by-step explanation:

HELP PLSSSSSSSS Solve 236 x 48 = ________. (1 point)
A. 11,328
B. 11,628
C. 12,328
D. 12,628

Answers

Answer:

[tex]236 \times 48 \\ \\ = 11328[/tex]

it's answe

236×48

= 11 , 328

An animal shelter receives a shipment of items worth a total of $1890. Large bags of dog food are $8
each, pet blanket are $5 each, and dog toys are $4 each. There are 5 bags of dog food for each dog
toy and twice as many blankets as dog toys. How many of each item were shipped?

PLS HELP!!!

Answers

Answer:

Food bags - 175, pet blankets - 70, dog toys - 35

Step-by-step explanation:

Given:

Dog food bags - f, cost of each $8, Pet blanket - b, cost of each $5Dog toy - t, cost of each $4Total cost $1890

Equations:

8f + 5b + 4t = 1890f = 5tb = 2t

Substitute values of b and t into first equation and solve for t:

8(5t) +5(2t) + 4t = 189040t + 10t + 4t = 189054t = 1890t = 1890/54t = 35

Find the values of f and b:

f = 5*35 = 175b = 2*35 = 70

Solve:

2/5 + 4/10 = ?

BRAINLIEST AND POINTS IF U ANSWER GOOD PLS ANSWERR

A 6/10

B 6/15

C 2/15

D 8/10

Answers

Answer:

Option D is correct.

Step-by-step explanation:

2/5 + 4/10

=> 2/5 + 2/5

=> 4/5

4/5 = 8/10

Therefore, Option D is correct.

Hoped this helped.

Frank practised for 4 hours and 35 minutes. If he stopped practising at 9:17 p.m, what time did he start practising?

Answers

4:42 p.m

You start with 9:17 and you subtract 4 hours. That gives you 5:17. Now you have to subtract the remaining 35 minutes. To make things easy we can make 5:17, five o-clock. We can do this by subtracting 17 then you'll get five o-clock. Now you have another 28 minutes to subtract. 5:00 - 28 = 4:42. Then you add the p.m.

You are currently paying rent every year for your restaurant. You still have a contract that will last 2 more years. Starting today, your rent will increase every year by 3.5%.
Think of the amount of rent you are paying right now. Then, determine how much rent you will be paying after 2 years.
Imagine that after two years you will have the opportunity to change rent contracts.
Show a situation in which it would be beneficial and one situation in which it would not be beneficial to change contracts.

Answers

The amount to be paid in rent after 2 years if the rent as of now is $3,000 will be; $3,213.675

The question allows that we choose the amount being paid as rent as of now.

Let the rent paid as of now be; $3,000

In essence; after the first year; the amount increases by 3.5% to become;

1.035 × $3,000

= $3,105.

After the second year; we have;

1.035 × $3,105

= $3,213.675

Ultimately; the amount to be paid after 2 years will be; $3,213.675.

When given the opportunity to change rent contracts;

A situation that will be beneficial would be a 3.5% reduction in rent per year A situation that will not be beneficial would be a 7% increase in rent per year.

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Can someone answer this question real quick please?

Answers

Answer:

open circle btw

Step-by-step explanation:

step 1: go to the right where the 3 is

step 2: go to the little dash the 1st one on the right of the 3

step 3: circle the dash and make an arrow going to the right

need help asap MIDSEGMENTS
will give BRAINLIEST

Answers

Answer:

yyyyyyyyyyyyyyyyyyyyyyyyyyyyy

⦁ You started with $300, and you spent $115 on Jake. You also set aside money to cover the sales tax on $300. Now it’s your turn to decide exactly what you will purchase with the money you have left. You calculated the costs and best prices for sheets, shoes, dressers, and peaches, but you didn’t buy anything yet. Now it’s time to make your purchases. Make a list of the things you will buy and how much each items cost. Explain your purchasing decisions. PLEASE HELP ME THIS IS FOR MATH AND I AM GOOD AT MATH BUT NOT AT WRITING PLEASE HELP.

Answers

Answer:Twin Bed – $60.48

Shoes - $20

Dresser, Mirror, Bookshelf - $82.11

Blanket, Clothes, Toys, Diapers - $277

Step-by-step explanation:

This gives us a total of 439.59

100 points
Help plz
show work
(2t)/(5)=(t^(2)-5t)/(5t)

Answers

Answer:

[tex]t=-5[/tex]

Step-by-step explanation:

[tex]\frac{2t}{5} = \frac{t^{2} -5t}{5t}[/tex], [tex]t\neq 0[/tex]

[tex]\frac{2t}{5} = \frac{t(t-5)}{5t}[/tex]

[tex]\frac{2t}{5} = \frac{t-5}{5}[/tex]

[tex]2t = t-5[/tex]

[tex]t=-5[/tex]

T= -5 trust me it’s right

The distance from the Earth to the moon is approximately 238,900 miles. What is the value of 8 in this number?

Answers

8000                                                    hope it helps :) :)                                                

Answer:

8000

Step-by-step explanation:

Why is the square root of 25 a rational number?

Answers

Answer:

A rational number can be expressed as a fraction.

√25 = 5 and 5 can be written in the form of a fraction 5/1.

Hope this helps :)

Because it divides out evenly and is not negative

Assertion - if the mean of five observations X, X+2, X+4, X+6, X+8 is 11 then,Mean of last 3 observations is 8. Reason - Range= Max. Value - Min. Value. (a) Both A and R are true, and R is the correct explanation for A. b) Both A and R are true, and R is not the correct explanation for A. c) A is true but R is false. d) A is false but R is true. ​

Answers

A is false but R is true (the mean of the last 3 values is not 8 since x=7)

Using algebra, describe in two or more complete sentences how to determine if the function is odd.

Answers

Answer:

If you end up with the exact opposite of what you started with (that is, if f (–x) = –f (x), so all of the signs are switched), then the function is odd.

Step-by-step explanation:

Find the value of the variables.

Answers

Answer:

x = 56

y = 68

Step-by-step explanation:

Please mark as brain list

Is z = 11 a solution to the inequality below?

4z - 4 < 43

yes or no

Answers

Plug it in like any normal algebra

4(11) - 4 < 43

44 - 4 < 43

40 < 43

The statement is correct.

Z = 11 is a solution.  

GOLDEN RULE FOR INEQUALITIES

WHENEVER SOLVING AN INEQUALITY TREAT IT LIKE REGULAR ALGEBRA, but whenever you MULTIPLY or DIVIDE both sides of an inequality by a NEGATIVE NUMBER, you must flip the inequality symbol.

QUICK PLEASE HELP WHAT IS THE ANSWER TO THIS QUESTION I NEED HELP: Jennifer earned $75.00 babysitting. She went shopping and bought a shirt for $18.50, a skirt for $22.95, and 3 pairs of socks for $4.75 each. She paid a 7% sales tax on all of the items she bought. How much money did Jennifer have left?

Answers

Answer:

15 dollars and 40 cents

Step-by-step explanation:

you add the shirt cost to the skirt cost to 3 times the sock cost

After that, you multiply that by 1.07 for the sales tax

then you take 75(her money) and subtract it from your previous answer to get how much she has left

Can Someone please help me with this Math homework? Please respond ASAP

Answers

It’s y=x+5 your welcome have a nice day

Select all the pairs of points so that the line between those points has slope 2/3.

Answers

B, (0,0)(3,2)

C, (1,5)(4,7)

D, (-2,-2)(4,2)

All of these ordered pairs have a slope of 2/3, by way of the slope formula.

The slope of option B, C and D are equal to 2/3.

The given slope is 2/3.

What is slope of a line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The formula to find the slope of a line is slope = (y2-y1)/(x2-x1)

A) Using (0, 0) and (2, 3) we get slope as

Now, slope = (3-0)/(0-2)

=3/2

B) Using (0, 0) and (3, 2) we get slope as

Slope = (2-0)/(0-3)

= 2/3

C) Using (1, 5) and (4, 7) we get slope as

Slope = (7-5)/(4-1)

= 2/3

D) Using (-2, -2) and (4, 2) we get slope as

Slope =(2-(2))/(4-(-2))

= 4/6

= 2/3

E) Using (20, 30) and (-20, -30) we get slope as

Slope =(-30-30)/(-20-20)

= -60/(-40)

= 3/2

Therefore, the slope of option B, C and D are equal to 2/3.

To learn more about the slope of a line visit:

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#SPJ2

Point P has coordinates (-2.5,3). Point Q is a reflection of point P across the x-axis. What are the coordinates of the point Q? Which quardrant is it in?

Answers

Answer:

  Q = (-2.5, -3), quadrant 3

Step-by-step explanation:

Reflection across the x-axis changes the sign of the y-coordinate.

  Q = (-2.5, -3)

With two negative coordinates, point Q is in Quadrant III.

_____

Additional comment

Point P has a negative x-coordinate and a positive y-coordinate, so is located northwest of the origin in Quadrant II. The quadrant that is southwest of the origin is Quadrant III, which is where points in Quadrant II are reflected to when they are reflected across the x-axis.

Please help! Thanks!! :)

Answers

Answer:

67

Step-by-step explanation:

We plug the 7 for x and -4 for y.

The equation is 9x-y.

So it becomes; 9(7)-(-4)

This will simplify to; 63+4

Which is 67, your answer.

67 is the answer bro good luck

Decimals Write decimal in standard form

Answers

Answer:

0.81

Step-by-step explanation:8x1x1x 1/10 +1x1/100=0.81

the sum of 4√5+√5 is .......

Answers

Answer:

4√5 + 5√5 = 9√5

Step-by-step explanation:

mark as brialist pls

(PICTURE PROVIDED)
A: 1 unit
B: 2 units
C: 3 units
D: 4 units

Answers

Answer:

Looks like 3 units if not try 4 units

Step-by-step explanation:

Hope this helps

PLEASE HELP AND EXPLAIN ALSO SHOW WORK​

Answers

Answer:

x=10

Step-by-step explanation:

Make 2x the only variable on the left side of the equation. Do that by taking 3 and 5 to the left. Note: if you move/transpose any number the sign must change.

2x = 18+5-3

2x=20

Divide both sides of the equation by 2 to make x the only variable left.

x=10

what is the solution of the equation 9x+12=39

Answers

Answer:

X=3

Step-by-step explanation:

because 39-12=27 and 9x3=27 and 27+12=39

Answer:

x=3

Step-by-step explanation:

9x+12=39

9x=27

x=3

Question 4 options:
The area of a rectangle is 65 square inches.

The length is x + 5, and the width is x – 3.

Find the value of x, and the dimensions of the rectangle.

A=lw

Answers

I. The value of x is equal to 8.

II. The dimensions of the rectangle are 13 and 5 inches respectively.

Given the following data:

Area of a rectangle = 65 square inches.Length of rectangle = x + 5 inchesWidth of rectangle = x - 3 inches

To find the value of x, and the dimensions of the rectangle:

Mathematically, the area of a rectangle is given by the formula:

[tex]A = LW[/tex]

Substituting the values, we have:

[tex]65 = (x+5)(x-3)\\\\65=x^2-3x+5x-15\\\\65=x^2+2x-15-65\\\\x^2 +2x-80=0\\\\x^2 +10x-8x-80=0\\\\x(x+10)-8(x+10)=0\\\\(x-8)(x+10)=0[/tex]

x = 8 or x = -10

For the length:

when x = 8

[tex]Length = 8 +5[/tex]

Length = 13 inches.

For the width:

when x = 8

[tex]Length = 8 -3[/tex]

Length = 5 inches.

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Find the perimeter, in feet, of the rhombus.

32 feet
60 feet
34 feet
68 feet

Answers

Answer:

68ft

Step-by-step explanation:

The formula of a perimeter of a rhombus:

P = 4a

a - length of side

We have a = 17ft

P = 4 · 17ft = 68ft

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