How many cubes with side lengths of
1
3
cm
3
1

cmstart fraction, 1, divided by, 3, end fraction, start text, space, c, m, end text does it take to fill the prism?

4
3
cm
3
4

cm
5
3
cm
3
5

cm
2
cm
2 cm

cubes

Answers

Answer 1

The number of 1/3 cm-cubes that would fill the rectangular prism is approximately 20 cubes.

What is the Volume of a Cube?

Volume = a³, where a is the side length.

What is the Volume of a Rectangular Prism?

Volume = lwh

Given the following:

a = ⅓ cml = 4/2 cm = 1/2 cmw = 2/2 cm = 1 cmh = 3/2 cm

Volume of the rectangular prism = (1/2)(1)(3/2)

Volume of the rectangular prism = (1/2)(1)(3/2) = 0.75 cm³

Volume of the cube = (⅓)³ = 0.037 cm³

Number of cubes that would fill the prism = 0.75/0.037 ≈ 20 cubes.

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How Many Cubes With Side Lengths Of 13 Cm31 Cmstart Fraction, 1, Divided By, 3, End Fraction, Start Text,

Related Questions

In which two of these numbers does the digit
6 have a value of 0.6?
16.7
61.28 14.63 28.16 96.77 85.62

Answers

Answer:

Step-by-step explanation:

In this numbers:

14.63

85.62

The two numbers where the digit 6 has a value of 0.6 are 14.63 and 85.62.

To determine in which two numbers the digit 6 has a value of 0.6, we need to examine the place value of 6 in each number.

Let's go through each number:

1. 16.7: The digit 6 is in the tens place, so its value is 6 * 10 = 60 (not 0.6).

2. 61.28: The digit 6 is in the ones place, so its value is 6 (not 0.6).

3. 14.63: The digit 6 is in the tenths place, so its value is 6 * 0.1 = 0.6.

4. 28.16: The digit 6 is in the hundredths place, so its value is 6 * 0.01 = 0.06.

5. 96.77: The digit 6 is in the tens place, so its value is 6 * 10 = 60 (not 0.6).

6. 85.62: The digit 6 is in the tenths place, so its value is 6 * 0.1 = 0.6.

The two numbers where the digit 6 has a value of 0.6 are 14.63 and 85.62.

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Using the digits 0 to 9 ​

Answers

Supplementary Angles:

[tex]\boxed{100°} and \boxed{80°}[/tex]

Arithmetically speaking, the closest 2 supplementary angles can get (in 3 and 2 digits respectively) is the upwritten.

Complementary Angles:

[tex]\boxed{45°} and \boxed{45°}[/tex]

Simply, in this case, for angles to be numerically as close as possible - make both the angles 45°.

Solve the system using substitution.
y=-x-2,3x+3y=6

Answers

Step-by-step explanation:

x = -2-y

3(-2-y) +3y =6

-6-3y +3y=6

у=0

O=-x-2

х=-2

given that y= 6 cm and θ= 32 °, work out x rounded to 1 dp.


(not drawn to scale)

Answers

X=7.1cm

The solution is in the attached file

Rewrite using exponential notation \root(6)((4\pi )^(3))

Answers

[tex]~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] ~\dotfill\\\\ \sqrt[6]{(4\pi )^3}\implies (4\pi )^{\frac{3}{6}}\implies (4\pi )^{\frac{1}{2}}[/tex]

use the tables below to find (p+q)(2).

Answers

The value of the composite function (p + q)(2) is 1

How to evaluate the function?

The function expression is given as:

(p + q)(2)

As a general rule

(p + q)(x) = p(x) + q(x)

Substitute 2 for x

(p + q)(2) = p(2) + q(2)


From the table, we have:

p(2) = 3 and q(2) =-2

So, we have:

(p + q)(2) = 3 - 2

Evaluate

(p + q)(2) = 1

Hence, the value of the composite function (p + q)(2) is 1

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Answer: (p+q)(2)=1

Step-by-step explanation:

Edge

A membership at a yoga studio costs $35 per month.
Write an equation for the cost of the membership,that you pay if you keep your membership for months.

Answers

Answer:

35×(m)=c

Step-by-step explanation:

m=months

c=cost

Maria is on a hike. If she hikes to the scenic lookout on the following map first, she will have to hike farther than if she
went straight to the end of the hike.
Y
end
scenic lookout
5 6 7
1
765
4
6+
5+
432
23
-2+
-3+
-4+
-5+
67
7-6-5-4-3-2
Maria
Coordinate values on the map are in kilometers.
1
1
N
HE

Answers

Based on the distance to the end of the hike and the distance to the scenic lookout, we can calculate that the straight route is 2 km shorter than the scenic lookout route.

Which route is shorter for Maria?

If Maria took the straight route to the end of the Hike from the coordinates, (4, -4) to (-5, 5), she would have to walk 13 km.

If she went the scenic lookout route, she would have to first go to (2,3) before going to (-5,5) which is 15 km.

The difference is:

= 15 - 13

= 2 km

A more readable version of the question is:
Maria is on a hike. If she hikes to the scenic lookout on the following map first, she will have to hike farther than if she went straight to the end of the hike.

3 connected points on a coordinate plane. The point labeled, "Maria," is at 4, -4. The point labeled, "end," is at -5, 5.

A solid line connect the points "Maria" and "end." The point labeled, "scenic lookout," is at 2, 3. Dashed lines connect "Maria" to "scenic lookout" and connect "scenic lookout" to "end."

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Answer:

2KM

Step-by-step explanation:

there are 6 members of a board of supervisors for a park district they need to form a subcommittee of 3 people to study expanding a park how many different committees could be formed from the members

Answers

There could only be 2 subcommittees formed because 6/3=2

Find the equation that is parallel to 2x-y=7

Answers

Answer:

Below

Step-by-step explanation:

Lines that are parallel have the same slope, so all lines parallel to the one given have the same slope as it does. That slope value is most easily seen by transforming the given equation to slope-intercept form

(y = mx + b).

This line would be y = 2x -7, so the slope of any line parallel to it must have a slope value of 2.

Hi there.

[tex]= = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = =[/tex]

First of all, we can't find the equation of the line that is parallel to the line we are provided with in this problem, which is [tex]\bf{2x-y=7}[/tex], until we convert this equation into another form.

.

.

This form has a name, and it's called "[tex]\bf{Slope-Intercept\:Form}[/tex].

.

.

So first, what we need to do is subtract 2x from both sides:

.

[tex]\bf{-y=7-2x}[/tex]

.

It's not mandatory, but we can re-arrange the terms "7" and "-2x":

.

[tex]\bf{-y=-2x+7}[/tex]

.

Last step: Divide both sides of the equation by -1:

.

[tex]\bf{y=2x-7}[/tex]

.

"-2x" turned into "2x" because a negative number multiplied or divided by a negative number equals a positive number.

.

"7" turned into "-7" because a positive number multiplied or divided by a negative number equals a negative number.

.

Now, our equation is in "Slope-Intercept Form".

.

Remember that "Slope-Intercept Form" looks like this:

.

[tex]\bf{y=mx+b}[/tex].

.

Now what we need to find is the equation of the line.

.

Let's skim through the provided information to see whether or not there's some information that can help us find the equation.

.

We're also provided with the fact that these lines, or equations, are parallel.

.

What that means is if two lines are parallel, their slopes are the same.

.

The slope of the line whose equation we just found is -2 (it's the number next to "x").

.

I hope that this helped clear your doubts; if any are left, please ask.

.

I wish you a nice rest of your day.

.

[tex]\bf{W}\sf{r}\bf{i}\sf{t}\bf{i}\sf{n}\bf{g}\:\sf{A}\:\bf{L}\sf{e}\bf{t}\sf{t}\bf{e}\sf{r}.[/tex]

--

heyyy.... can someone pls help asap. Rearrange the formula to write r in terms of P and pi.

[tex]p = 2r + \pi \: r[/tex]

Answers

Step-by-step explanation:

p = 2r + pi×r

p = r(2 + pi)

r = p/(2 + pi)

Answer:

r = [tex]\frac{p}{2+\pi }[/tex]

Step-by-step explanation:

p = 2r + πr ← factor out r from each term

p = r(2 + π) ← divide both sides by (2 + π )

[tex]\frac{p}{2+\pi }[/tex] = r

There are eleven divers on a swim team. If the team can only send four divers to a competition, how many ways can they send four

Answers

If the team can only send four divers to a competition. Then the number of the ways will be 330.

What are permutation and combination?

A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.

There are eleven divers on a swim team. If the team can only send four divers to a competition.

Then the number of the ways will be

Number of ways = ¹¹C₄

Number of ways = 11! / [(11 - 4)! x 4!]

Number of ways = 330

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Help please thanksssssssssss

Answers

Answer:

what is your from my from is province philippines

Find the value of x.

Answers

Answer:

x=36

Step-by-step explanation:

2x+2x+70+78+68=360

4x+216=360

4x=360-216

4x=144

x=144/4=36

what is 2x-45y=22 when y=21

Answers

answer:

483.5

step by step explanation:

2x-45y=22

2x-45(21)=22

2x-945=22

2x =22+945

2x=967

x=483.5

Please help me thank you :3

Answers

Quadrilaterals are angles that has 4 sides and angles.  The measure of the angle m<SPQ is 110 degrees

Angles in a quadrilateral

Quadrilaterals are angles that has 4 sides and angles. The given quadrilateral is a rhombus with equal opposite sides.

Given the following angles

m<SPR = 2x + 15

m<QPR = 3x - 5

From the figure

m<SPR = m<QPR

Substitute

2x+ 15 = 3x - 5

2x - 3x = -5 - 15

x = 20

Determine the measure of <SPQ
m<SPQ = 3x - 5 +2x +15

m<SPQ = 5x + 10
m<SPQ =5(20) + 10
m<SPQ = 110 degrees

Hence the measure of the angle m<SPQ is 110 degrees

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given lim x→0 f(x)=4. what is lim x→0 1/4 [f(x)]^4?

Answers

Given that

[tex]\displaystyle \lim_{x\to0} f(x) = 4[/tex]

we can use the properties of limits to show

[tex]\displaystyle \lim_{x\to0} \frac14 f(x)^4 = \frac14 \lim_{x\to0} f(x)^4 = \frac14 \left(\lim_{x\to0} f(x)\right)^4 = \frac14 \times 4^4 = 4^3 = \boxed{64}[/tex]

Let's see

[tex]\\ \rm\Rrightarrow \lim_{x\to 0}\dfrac{1}{4}f(x)^4[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1}{4}\lim_{x\to 0}f(x)^4[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1}{4}\times 4^4[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{256}{4}[/tex]

[tex]\\ \rm\Rrightarrow 64[/tex]

What is the correct way to write 0.000000056
meter in scientific notation?

Answers

Answer:

[tex]5.6 \times 10^{-8}~ m[/tex]

Step-by-step explanation:

[tex]0.000000056\\\\=\dfrac{56}{1000000000}\\\\\\=\dfrac{56}{10^9}\\\\\\=56 \times 10^{-9}\\\\\\=56 \times 10^{-1} \times 10^{-8}\\\\\\=5.6 \times 10^{-8}~[/tex]

What is the quotient if -3/8 and -1/3

Answers

[tex]\left(- \dfrac 38 \right) \div \left(-\dfrac 13 \right)\\\\\\=-\dfrac 38 \times (-3)\\\\\\=\dfrac 98[/tex]

which 2 numbers have a mean of 10 and a range of 12

Answers

Answer:

Step-by-step explanation:

16 - 4 = 12

16 + 4 = 20

then 20 ; 2 = 10

Half of 12 is 6, therefore the two numbers 10 - 6 = 4 and 10 + 6 = 16 will have a mean of 10 and a range of 12.

What is the exact value of x

Answers

x = 6(√2)

Step 1:

Say, 6 is perpendicular and x is the hypotenuse.

Step 2:

As we know sine is the ratio of perpendicular and hypotenuse.

∴ [tex]sin 45 = \frac{perpendicular}{hypotenuse}=\frac{6}{x}[/tex] ......................................(1)

Step 3:

As we know, sin45 = 1/√2

∴ put the value in equation 1

⇒ [tex]\frac{1}{\sqrt{2}} = \frac{6}{x}[/tex]

By solving the above equation, we get,

x = 6(√2)

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What is the measure of angle B in the figure below?
A
3
B
D
3√√2
C
O 30°
O 45°
O 60°
O 90°

Answers

The answer is 45 degrees because we know it is less than 90 degrees but more than 30 degrees so there is your answer

Please help I’m begging you!!

Answers

Answer:

Here is the ans ...hope it helps:)

Find the value of x. Round to the nearest tenth. B 18 19 A 22° C x = [? ]° X X Law of Sines: sin A a sin B b = sin C C​

Answers

Answer:

23.292°

Step-by-step explanation:

see the attachment photo.

The value of x to the nearest tenth is 23.3°.

What is Law of Sines?

Law of sines is defined as that ratio of the length of the sides of a triangle to the sine of the angle opposite to the these sides are equal.

That is, if a, b and c are sides opposite to the angles A, B and C respectively, then,

a / sin A = b / sin B = c / sin C

Given is a triangle ABC.

Using the law of sines,

AB / Sin C = BC / Sin A

We have to find the angle A.

Substituting,

18 / sin 22 = 19 / sin x

18 × sin(x) = 19 × sin (22°)

sin(x) = (19 × sin (22°)) / 18

sin x = 0.3954

x = 23.29° ≈ 23.3°

Hence the value of x is 23.3°.

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The lengths of two sides of a triangle are 5 inches and 8 inches. Which of the following lengths could be the length of the third side of the triangle? Select all that apply.

Answers

By using the triangular inequality, we conclude that the other side must measure more than 3 inches and less than 13 inches.

Which values could the length of the third side take?

Remember that the triangular inequality says that the sum of any two sides on a triangle is larger than the other side of the triangle.

If we define the missing side of the triangle as x, then we must have:

5 + x > 8

8 + x > 5

8 + 5 > x

From the third inequality we get the upper bound:

13 > x.

From the first inequality we get the lower bound:

x > 8 - 5 = 3

Then:

3 < x < 13

This means that the other side of the triangle must measure more than 3 inches and less than 13 inches.

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if 6 men. 8 women and 16 boys together can do a piece of work in 288 days by working 6 hours each day in how many days can 12 men, 18 women and 28 boys complete the same & work by working 8 hours each day? The work efficiency of men, women and boys proportion 3:2:1 respectively? ​

Answers

Answer:

144 days

Step-by-step explanation:

Let's put the efficiency in terms of   b

m = 3b      w = 2b       b=b

starting with    6 m  = 18 b

                        8w =   16 b

                        16b = 16 b           total 50 b

then increase   12m = 36b

                         18w = 36b

                         28b = 28 b    total = 100 b

You doubled 'b'  workers  so work time will be halved     to  144 days

Simplify please help me with this question

Answers

Answer:

a^4

Explanation:

a^2×a^3= a^5(a^2+3)

a^5/a= a^4(a^5-1)

41 Buying music
LV
Dave loves music. He wants to listen to his favorite
singer's new CD. So he goes to Itunes and buys his
songs. One song costs 1,29 € and the album 9,99 €.
There are 8 songs on the album.
. What's the best choice?

Answers

Answer:

theUse the Distance and Midpoint Formulas to find the length and midpoint of the segments with indicated endpoints. Show your solution and answer inside the box.

Endpoints

Distance

 

Midpoint

1. (-5,8) and (9,4)

   

2. (6 ,- 3) and (10,11)

   

3. (2,1) and (-16,13)

   

4. (3,0) and (9 ,- 13)

        

5. (-3 ,- 10) & (-7 ,- 2)

Find the volume of the pyramid

Answers

Step-by-step Explanation:

the volume of a pyramid is:

volume = (1/3) • base_area • height

(area = length • width)

(area) • (height) = (volume)³

Example:

area = 12cm² (12 cm squared)

height = 4cm

12 • 4 = 48cm³ (48 cm cubed)

Answer:

area: 6 • 8 = 48(1/2) = 24cm²

height: 12

volume: 24 • 12 = 288cm³(1/3) = 96cm³

You are building a brick patio. the length of the patio is (x+11) feet.

the total area of the patio can be represented by x^2+14x+33. write an expression for the width of the patio

Answers

The expression that represents the width of the patio is (x+3) feet

Calculating area

From the question, we are to determine the width of the patio

The area of the patio = Length of the patio × Width of the patio

From the given information,

Length of the patio = (x+11) feet

Area of the patio = x^2+14x+33 = x²+14x+33

Putting the parameters into the formula,

x²+14x+33 = (x+11)  × Width of the patio

∴ Width of the patio = (x²+14x+33) / (x+11)

First, we will factor x²+14x+33

x²+14x+33

x²+11x+3x+33

x(x+11) +3(x+11)

(x+3)(x+11)

Thus,

Width of the patio = [(x+3)(x+11)] / (x+11)

∴ Width of the patio = (x+3) feet

Hence, the expression that represents the width of the patio is (x+3) feet

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