A rectangular box is 5 cm long and 6 cm wide. How many cubical packets each of 1 cm^3 can be placed on the floor of its base? If 10 layers of such packets are placed on the floor, how many packets are there?​

Answers

Answer 1

a. The number of cubical packets on the floor is 30.

b. the number of cubical packets in 10 layers is 300 layers.

Length of cubical packet

Since the volume of each cube is 1 cm³ and the volume of a cube V = L³ where L = length of side,

So, L = ∛V = ∛1 cm³ = 1 cm

So, the sides of the cubes are 1 cm long

Volume of layer

Also, since the rectangular box is 5 cm long and 6 cm wide, to find the number of 1 cm³ cubical boxes that can be placed on the floor, we find the volume of that layer which is V = 5 cm × 6 cm × 1 cm = 30 cm³

Number of cubical packets on the floor

The number of cubical packets on the floor is 30.

So, the number of cubical packets required, n = volume of layer/volume of cubical packet

= 30 cm³/1 cm³

= 30

The number of cubical packets on the floor is 30.

b. Number of cubical packets in 10 layers

The number of cubical packets in 10 layers is 300 layers.

If there are 10 layers, then the number of packets on the layers, N = number of layer × number of packets/layer

= 10 × 30

= 300 layers.

So, the number of cubical packets in 10 layers is 300 layers.

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Related Questions

On Dec. 4, 1998, sunrise was at 6:58 and sunset was at 4:12.
The length of the daylight was:
O A. 8 hr 15 min
B. 9 hr 3 min
O c. 9 hr 12 min
OD. 9 hr 14 min
E. 10 hr 15 min
PLS HELP

Answers

The length of the daylight was 9 hr 10 min

Max is mountain hiking at a constant rate. This equation y = 10x 30 can be used to represent this situation, where y is Max's elevation in meters and x is the number of hours Max has been hiking. Which statement best describes Max's elevation, given this equation?.

Answers

Answer:

D.) Max started at a height of 30 meters and is ascending at 10 meters per hour.

Step-by-step explanation:

This equation y = 10x + 30 can be used to represent this situation, where y is Max's elevation in meters and x is the number of hours Max has been hiking

Max started at the height of 30 meters and is ascending at a rate of 10 meters per hour. Then the correct option is A.

What is the linear system?

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

The equation is y = 10x + 30.

Where y is Max's elevation in meters and x is the number of hours.

Max has been hiking.

From the equation, we can conclude.

Max is ascending at a rate of 10 meters per hour.

Max is at the height of 30 meters at the starting.

Thus, option A is correct.

More about the linear system link is given below.

https://brainly.com/question/20379472

Each of 8 girls has
a button collection.
Each girl has 8
buttons in her
collection. How
many total buttons
are there in the 8
collections?

Answers

Answer: there are 64 buttons because 8*8=64

solve for me thanks im begging

Answers

Answer: y = 8x

Step-by-step explanation:

y = 8x

Can 445 be simplified?

Answers

445 is a whole number and therefore cannot be simplified.

no it can not be simplified and

Find the percentage increase if 60 increases to 99.

Answers

Eggs
My arms and pizza
The big man has back fungus

Solve for y 8x-7y=23 (fill all of the boxes)

Answers

Answer:

i think this is the correct answer

Step-by-step explanation:

Simplifying

8x + -7y = 23

Solving

8x + -7y = 23

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '7y' to each side of the equation.

8x + -7y + 7y = 23 + 7y

Combine like terms: -7y + 7y = 0

8x + 0 = 23 + 7y

8x = 23 + 7y

Divide each side by '8'.

x = 2.875 + 0.875y

Simplifying

x = 2.875 + 0.875y

Fill in the table using this function rule.
y = 4x + 1
HELP PLEASE NOW!!! no links plz

Answers

Answer:

y=4x+1

for x=3

y=4(3)+1

y=12+1

y=13

for x=6

y=4(6)+1

y=24+1

y=25

for x=8

y=4(8)+1

y=32+1

y=33

for x=10

y=4x+1

y=4(10)+1

y=40+1

y=41

x y

3 13

6 25

8 33

10 41

please pick me brainliest.

I HOPE IT HELPED

8[4-x]=7x+2 Solve the equation

Answers

Answer:

x=2

Step-by-step explanation:

8x4=32

-x x8=-8x

32-8x=7x+2

+8x on both sides

32=15x+2

32-2=30

30=15x

divided by 2

2=x

Answer:

2[tex]\frac{4}{15}[/tex]

Step-by-step explanation:

First factor our the (4-x):  (8*4)(8*x)
Then we have 36 - 8x = 7x + 2

Isolate the x:

32 -2 = 8x + 7x

Simplify both sides:

30 = 15x

Divide both sides by 15

[tex]\frac{30}{15}[/tex] = [tex]\frac{15x}{15}[/tex]

Simplify further if necessary:

x = 2

From the observation deck of a skyscraper, Bashir measures a 45^{\circ} the angle of depression to a ship in the harbor below. If the observation deck is 1057 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest hundredth of a foot if necessary.

Answers

The answer is 1057 feet

PLEASE HELP DO BOTH A AND B PARTS PLEASE :)​

Answers

Answer:

Market (3, 8)

Park (2, 5)

Lily's house (4, 3)

School (7, 6)

Step-by-step explanation:

E2023

Answer:

see attached diagram

market = (3, 8)

Step-by-step explanation:

Park = (2, 5)

Find the number 2 on the x-axis, then count up 5 units

Park = (2, 5)

x-coordinate:  1 unit to the right = 2 + 1 = 3

y-coordinate: 3 units up = 5 + 3 = 8

Therefore, market = (3, 8)

Can someone help me with this question please

Answers

Answer:

  10.3 cm

Step-by-step explanation:

There are a few ways to do this.

1)

Using the law of cosines, you have ...

  b² = a² +c² -2ac·cos(B)

  b² = 11² +11² -2(11)(11)·cos(56°) = 106.67

  b = √106.675 ≈ 10.3

  AC = 10.3 cm

__

2)

Using trig functions. When you draw an altitude in this isosceles triangle from B to AC, it divides AC in half, and it divides angle B in half. The sine relation can help here:

  Sin = Opposite/Adjacent

  sin(56°/2) = (AC/2)/(11 cm)

  AC = (22 cm)sin(28°) ≈ 10.3 cm

__

3)

Using a triangle solver, you can find the value of AC to be about 10.3 cm. Triangle solvers are available as apps and on the web. Your graphing calculator may have one. See attached for the results from a nice solver available on the web. Units are cm.

The balcony of an apartment is 4 feet wide by 7 feet long. On a scale drawing of the apartment, the balcony is 0. 8 inch wide by 1. 4 inches long, and the kitchen is 2. 4 inches wide by 2. 8 inches long. What is the actual width of the kitchen? Enter your answer in the box. The actual width of the kitchen is feet.

Answers

For an apartment, the scale factor of the map is 1/60 and the kitchen's actual width of the is 12 ft wide.

What is scale factor?

Scale factor is the factor which is used to enlarge or smaller the original figure.

Scale factor is the ratio of representation measurement of the figure to the original figures.

The balcony of an apartment is 4 feet wide by 7 feet long. On a scale drawing of the apartment, the balcony is 0. 8 inches wide by 1. 4 inches long.

The actual length of the balcony is 7 feet or 84 in (1 ft = 12in), and on scale the length of the balcony is 1.4 in. Thus, the scale factor is,

[tex]r=\dfrac{1.4}{84}\\r=\dfrac{1}{60}[/tex]

Thus, the scale factor is 1/60.

The length of the kitchen is 2.8 in on map. Let L is the actual length of the kitchen. Therefore,

[tex]r=\dfrac{2.8}{L}\\\dfrac{1}{60}=\dfrac{2.8}{L}\\L=168\rm in\\L=14\rm ft[/tex]

The width of the kitchen is 2.4 in on map. Let W is the actual width of the kitchen. Therefore,

[tex]r=\dfrac{2.4}{W}\\\dfrac{1}{60}=\dfrac{2.4}{W}\\W=144\rm in\\W=12\rm ft[/tex]

Thus, For an apartment, the scale factor of the map is 1/60 and the kitchen's actual width of the is 12 ft wide.

Learn more about the scale factor here;

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Answer:its 12 feet i just took the quiz

Step-by-step explanation:

i need help w this (20 points)

Answers

Answer:

the answer for B M Y is 40

Step-by-step explanation

Part B answer to X M Y is 85

(8p - 8) (6p^2 + 3p+6)

Answers

Answer:

The answer is 48p^3 - 24p^2 + 24p - 48

Six times a number increased by 4 is no less than 50

Answers

Answer:

Number>2

Step-by-step explanation:

If number is 1 then 6×1=6

6×4=24

which is less than 50

If number is 2 then 6×2=12

12×4=48
which is less than 50

QUESTION 5
Given the following two functions:
f(x)=x2+1 and g(x)=x+ 1, find (g+f) (-1)

Answers

Answer:

(g+f)(-1)=2

Step-by-step explanation:

f(x)x²+1

g(x)=x+1

(g+f)(x)= x+1+x²+1

(g+f)(-1)=(-1)+1(-1)²+1

(g+f)(-1)=(-1)+1+(-1)²+1

(g+f)(-1)=2

Hope this helps u! :)

g(x) is a function as defined below 9(x) = 3 If you input 2 into g(x), what do you get for an output? Enter your answer in the simplest form in the space provided below. (If your answer is a decimal number, round it to two decimal places.) Example answer: 42.63​

Answers

Answer:

The answer is 0.33 <3

Step-by-step explanation:

i put this here so its easier to see that answer then the steps :)! Try gauth math, its a great app! Just take a picture of a question and a expert will give you the right answer, and explanation.

Have a blessed week! :)

The angle of elevation of the sun is 39° from the ground. A business building downtown casts a shadow that is 89 m long. How tall is the building?​

Answers

[tex]\tan 39 \textdegree = \displaystyle \frac{h}{89}\\\\89\tan 39 \textdegree = h\\\\h = 72[/tex]Answer:

72 m

Step-by-step explanation:

Hi there!

Using the given information, we can construct a diagram. Please see the attached image.

We need to solve for the height of the building, or the length of the side opposite the angle that measures 39°. Given the only other piece of information is the length of its adjacent side, which is 89 m, we can use the tangent ratio to solve for the height:

[tex]\tan \theta = \displaystyle \frac{opposite}{adjacent}[/tex]

Plug in the given values:

tan 39° = h/89

89 tan 39° = h

h = 72

Therefore, the height of the building is 72 m.

I hope this helps!

Find the area of the shaded region Use 3.14 for z. Une pencil and paper What would happen to the area if one of the
dimensions were changed? Explain your reasoning
C
154
173
de sort HH Đ H )
The area is approximately
(Round to the nearest hundredh as needed)



I NEED HELP

Answers

The area of shaded region = area of triangle - area of circle = 33.73 sq. m.

What is the Area of Triangle and Circle?

Area of circle = πr²

Area of triangle = 1/2(base × height)

The area of the shaded region = area of triangle - area of circle

=  1/2(14 × 12) - π × 4²

Area of shaded region = 84 - 50.27

Area of shaded region = area of triangle - area of circle = 33.73 sq. m

Learn more about area of triangle on:

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Carlos designs the skateboard ramp shown in the diagram, 132in h? 22 degrees Enter the height of the ramp (h), in inches, Round your answer to the nearest whole inch.

Answers

The height of the ramp is 49.45in

Data;

Length of the skateboard = 132inAngle between the height and skateboard = 22 degreesheight of the skateboard ramp

Trigonometric Ratio

To solve this problem, we can use trigonometric ratio SOHCAHTOA

Since we have the value of the angle and length of the ramp, this can be illustrated as hypotenuse and angle between the hypotenuse and opposite of the right-angle triangle.

From the information above, we have angle and hypothenuse but we need to solve for the opposite of the right-angle triangle. The sine angle can solve this problem.

[tex]sin \theta = \frac{opposite}{hypothenuse} \\sin 22 = \frac{x}{132} \\x = 132 sin 22\\x = 49.45 in[/tex]

The height of the ramp is 49.45in

Learn more on trigonometric ratios here;

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14° plus what equals 90°

Answers

90° - 14° = 76°

hope this helps!

Please answer please and what do you do to solve this?
9+4(a+5)
a) 18+4a B)29+4a
C) 33+4a D) 23+4a

Answers

Answer:

B) 29 +4a

Step-by-step explanation:

for this question we need to expand the brackets. to do this you would times everything in the brackets separately by 4, 4 times a which is 4a and 4 times 5 which is 20.

this would creat a sum of 9+4a+20

now we can add together the like terms which in this case are 20 and 9 making the whole sum 29 +4a

this is how you expand the brackets.

deserving of a brainliest?

Answer: B) 29+4a

Step-by-step explanation:

Distribute the parentheses first as multiplication comes before addition:

9+4(a+5)

9+4a+20

Add 9 and 20:

29+4a

Which function is linear?​

Answers

Answer:

A,B,and D is a linear equation

Answer:

B. 4x - y + 2.5 = 0

Step-by-step explanation:

Its linear as it doesn't have any square or division.

ignore - ², division, xy being together. if so option D, C, A cancels out.

Which of the following sets of angles of a triangle represents an acute triangle?

30°, 60°, 90°
60°, 65°, 55°
40°, 40°, 100°
45°, 40°, 95°


I think it's B, but I think i am wrong. Please explain...

Answers

Answer: It's B, great job!

Step-by-step explanation: An acute angle measures less than 90 degrees. 60,65, and 55 are all under 90.

Which number is closest to 63(square root)?
A. 8.4
B. 7.2
C. 7.9
D. 6.7

Answers

Answer:

C-7.9

Step-by-step explanation:

Because the square root is actually 7.93

Answer:

C. 7.9

Step-by-step explanation:

Do the square root of 63.

[tex]\sqrt{63} = 7.93725[/tex]

Your answer isn't perfect, but it's asking for which number is the closest to the [tex]\sqrt{63}[/tex].

[tex]\sqrt{63}[/tex] ≈ [tex]7.9[/tex]

How many solutions does the system have? x y = 5 x y = 6 none one two infinite.

Answers

Answer:

none

Step-by-step explanation:

{ x=5-y

{ x=y=6

substitute the given value of x into the equation x+y=6

5-y+y=6

the equation for y

y∈⊘

Can you please solve this?!?​

Answers

[tex]\bold{\huge{\blue{\underline{ Solution }}}}[/tex]

Given :-

Here, We have,

[tex]\sf{\dfrac{a}{b}}{\sf{=}}{\sf{\dfrac{b}{c}}}{\sf{=}}{\sf{\dfrac{c}{d}}}[/tex]

To Prove :-

We have to prove that √(a - b - c)(b-c-d) = √ab-√bc-√cd

Let's Begin :-

[tex]\sf{√(a-b-c)(b-c-d)=√ab-√bc-√cd}[/tex]

Let [tex]\sf{\dfrac{a}{b}}{\sf{=}}{\sf{\dfrac{b}{c}}}{\sf{=}}{\sf{\dfrac{c}{d}}}{\sf{ = k}} [/tex]

Therefore,

From above, We can conclude that,

a = bk, b = ck, c = dk

a = dk³ , b = dk² , c = dk

By solving RHS :-

[tex]\sf{√(a - b - c)(b-c-d) }[/tex]

[tex]\sf{√(dk³ - dk² - dk) (dk² - dk - d) }[/tex]

[tex]\sf{√d(k³- k² - k) d(k² - k - 1)}[/tex]

[tex]\sf{d√(k³- k² - k) d(k² - k - 1)}[/tex]

[tex]\sf{d√k(k²- k - 1)(k² - k - 1)}[/tex]

[tex]\sf{d(k²- k - 1)√k ...eq(1)}[/tex]

By solving LHS :-

[tex]\sf{√ab - √bc - √cd}[/tex]

[tex]\sf{√dk³(dk²) - √dk²(dk)-√dk(d)}[/tex]

[tex]\sf{√d²k^5 - √ d²k³ - √d²k}[/tex]

[tex]\sf{dk²√k - dk√k - d√k}[/tex]

[tex]\sf{(dk² - dk - d)√k}[/tex]

[tex]\sf{d(k²- k - 1)√k...eq(2)}[/tex]

From eq(1) and eq(2)

[tex]\bold{\red{ LHS = RHS }}[/tex]

That is,

[tex]\sf{√(a-b-c)(b-c-d)=√ab-√bc-√cd}[/tex]

Hence proved .

Yes, the RHS and the LHS are equal/

Calculations and Parameters:

Given:

[tex]a/b= b/c = c/d[/tex]

We have to prove that √(a - b - c)(b-c-d) = √ab-√bc-√cd

Hence, after we expand the brackets and evaluate, we see that:

a = bk, b = ck, c = dka = dk³ , b = dk² , c = dk

After the evaluation of the RHS and LHS, we can see that

RHS= LHS .

Read more about maths expressions here:

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Find the value of X.
50°
90°
100°

Answers

Answer: 60 degrees

Step-by-step explanation:

add 90 50 and 100

= 240

Total of all interior angles should be 360

So 360-240=120

Straight line: 180 degrees

180-120=60

A prism has a length of l, width of 3 feet, and height of 7 feet.
The volume of this rectangular prism is 84 ft3.

What is the length of the prism?
28 ft
12 ft
8 ft
4 ft
A prism has a length of l, width of 3 feet, and height of 7 feet.
The volume of this rectangular prism is 84 ft3.

What is the length of the prism?
28 ft
12 ft
8 ft
4 ft

Answers

4 feet because 7x3x4 is 84

Answer:

they are right

Step-by-step explanation:

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