A box has a length of 6 inches, a width of 8 inches, and a height of 24 inches. Can a cylinder rod with a length of 63.5 centimeters fit in the box?

Answers

Answer 1

Answer:

Yes.

Step-by-step explanation:

The longest diagonal in the box is the line between one of the top corners to the opposite bottom corner.

Calculate the length of the longest diagonal in the box:

The diagonal of the base =  √(6^2 + 8^2)

= √100 = 10 inches.

The longest diagonal = √( 24^2 + 10^2)

= √676

=  26 inches

=  26 * 2.54

=  66.04 cms.

Therefore the cylinder (length 63.5 cms) rod can fit in the box.


Related Questions

Kelly shares 3 candy bars equally between her 5 friends. What fraction of a candy bar does each friend receive?

A- three fifths candy bar
B- one third candy bar
C- five thirds candy bar
D- one fifth candy bar

Answers

Answer:

three fifths candy bar

Step-by-step explanation:

3/1 ÷ 5/1

3/1 × 1/5 = 3/5

Answer:

3 fiths of a candy bar

Step-by-step explanation:

It’s Choose More than one answer Just to let you know ..and can someone please help ..please

Answers

Answer:

Step-by-step explanation:

Answer x = 0

1 < 0 and 13<0

The answer is 2

Since 0 can’t be the answe because 0 is less than 1 not greater than 1

14 is greater than 13 so the answer is 2

What’s the value of Y? I’m stuck on this

Answers

Answer:

B 65

Step-by-step explanation:

The measure of the exterior angle is equal to the sum of the opposite interior angles

130 = y+y

130 = 2y

Divide by 2

130/2 = 2y/2

65= y

What is the solution to the equation

Answers

Answer:

The solution of given equation 5(x - 6) = 2(x + 3) is given by,

x = 12

Step-by-step explanation:

It is given that,

5(x - 6) = 2(x + 3)

To find the solution of given equation

5(x - 6) = 2(x + 3)

5x - (5 * 6) = 2x + (2 * 3)

5x - 30 = 2x + 6

5x - 2x = 6 + 30

3x = 36

x = 36/3

x = 12

Therefore the solution of  given equation is,

x = 12

whats the exanded expression for -7(k-3)

Answers

Answer:

-7k+21

Step-by-step explanation:

Distributive Property:

    ↓

[tex]A(B+C)=AB+AC[/tex]

A=-7, B=K, and C=3

-7k+7*3

Multiply by the numbers from left to right to find the answer.

7*3=21

-7k+21 is the correct answer.

What value of X is in the solution set of 2(3x-1)>4x-6

Answers

Answer:

negative 1

2(3x-1)>4x-6

Answer:

Step-by-step explanation:

-1

what is 9+5x-6+2x ???

Answers

ANSWER:

7x + 3

let us break the problem into two smaller equations that match-

5x + 2x = 7x

9 - 6 = 3

this leaves you with 7x + 3.

Ok first add 5x and 2x which is 7x
Then you will do 9-6 which is 3

So your answer will be 7x-3

News cameras take an overhead picture of a part of a crowd at an outdoor event. Journalists then count the number of people in the picture and use the sample to estimate the total number of people in the crowd. This process is an example of

Answers

Answer:

cluster system

Step-by-step explanation: For edgunity

This process is an example of cluster system.

The following information should be considered:

A cluster refers to a group of inter-connected computers where it work together for support applications and middleware (e.g. databases). In a cluster, each & every computer is known to be a “node”.

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Convert 12 and a half of 30

Answers

Answer:

375

Step-by-step explanation:

12½[30] → 25⁄2[30]

Multiply 25 by 30 [750] then divide by 2 to get 375.

I am joyous to assist you anytime.

1. y = sin? (In x). Find dy
Show your work. en nuov vlomia
A.
sin (In x2)
х
cos? (In x)
c. sin (In x) cos(Inx)
D.
2 sin (In x) cos(In x)
E. None of the above.

Answers

Answer:

dy/dx=  cos(ln(x))/x

Step-by-step explanation:

y=sin(ln(x)) given

We have to use chain rule to differentiate!

Let u=ln(x) then du/dx=1/x

So we have

if y=sin(ln(x)) then y=sin(u) and dy/dx=dy/du * du/dx=cos(u) *1/x

where again u=ln(x) so

dy/dx=cos(ln(x)) *1/x

dy/dx=cos(ln(x))/x

I hope I have the right intepretation because I do see a ? in between sin and (ln(x)) .

Identify the linear term in the function of y = 2x2 − 5x − 12

Answers

Answer:

The linear term is -5x

Step-by-step explanation:

The linear term is the term that has the degree equal to 1.

The given function is

y = 2x^2 − 5x − 12

here 2x^2 = quadratic term i.e having degree 2

-5x = linear term i.e having degree 1

-12 = constant

so, The linear term is -5x

PLEASE HELP ME ASP! Brainlist and 25 points!

Answers

Answer:

Answer is in the explanation

Step-by-step explanation:

I don't know exactly word from word what your choices look like...

but I can describe per each box what happened in my own words:

First box:  They multiply first equation by 3 and the second equation by 2 to obtain the equations in that first box.

Second box: They subtracted the two equations in the first box to obtain 1x+0y=2 which means 1x=2 or x=2 (this is called solving a system by elimination

Third box: They used their first original equation (before the multiplication manipulation) and plug in the value they got for x which was 2 giving them 3(2)-2y=10

Fourth box: They simplified the equation 3(2)-2y=10 by performing the multiplication 3(2) giving them 6-2y=10

Fifth box:  They subtracted 6 on both sides giving them -2y=4

Sixth box:  They divided both sides by -2 giving them y=-2

I will summarize then what I wrote above:

1st box: Multiplication Property of Equality

2nd box: Elimination

3rd box: Substitution (plug in)

4th box: Simplifying

5th box:  Subtraction Property of Equality

6th box: Division Property of Equality

Which equation represents a line that passes through (–9, –3) and has a slope of –6?

Answers

Answer:

y + 3 = -6(x + 9) - point-slope formy = -6x - 57 - slope-intercept form

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

========================================

We have the slope m = -6 and the point (-9, -3).

Substitute:

[tex]y-(-3)=-6(x-(-9))\\\\y+3=-6(x+9)[/tex]

Convert to the slope-intercept form (y = mx + b):

[tex]y+3=-6(x+9)[/tex]           use the distributive property

[tex]y+3=-6x-54[/tex]         subtract 3 from both sides

[tex]y=-6x-57[/tex]

Positive integer A has 2 different prime factors: p and q (p<q) such that A = pq. Positive integer B is greater than A and the quotient A^2/B is an integer. How many possible values of B are there? PLEASE GIVE AN EXPLANATION WITH YOUR ANSWER! ​

Answers

Answer:

4

Step-by-step explanation:

The integer A^2 will have 9 divisors:

1, p, q, p^2, pq, q^2, p^2q, pq^2, p^2q^2

Of these, the last 4 are greater than A. Hence there will be these 4 values of B.

Answer:

it removed body waste like and instructions

A dilation maps (4, 6) to (2, 3). Under the same dilation, (-1,3) would be mapped to

Answers

Answer:

(-1/2,3/2)

Step-by-step explanation:

The rule for dilation about (0,0) by a scale factor is given as:

(x,y)----------(kx,ky)

So if (4,6) was mapped to (2,3) by dilation it means;

x=4

kx=2

k=2/4 =1/2

Hence in this case, the dilation rule is ;

(x,y)---------(1/2x ,1/2y)

For (-1,3) ---------(1/2*-1, 1/2*3)

                         (-1/2, 3/2)

Answer:

[tex](-\frac{1}{2}, \frac{3}{2})[/tex].

Step-by-step explanation:

Since, the rule of dilation about origin by the scale factor k is,

[tex](x,y)\rightarrow (kx,ky)[/tex]

Given,

The dilation maps (4, 6) to (2, 3).

Let k be the scale factor for this dilation,

⇒ 4k = 2 ⇒ k = [tex]\frac{2}{4}=\frac{1}{2}[/tex],

Thus, under the dilation rule would be,

[tex](x,y)\rightarrow (\frac{1}{2}x,\frac{1}{2}y)[/tex]

Hence, (-1,3) would be mapped to [tex](-\frac{1}{2}, \frac{3}{2})[/tex].

The equation c = 6.5h represents the cost, c, of renting a bicycle for h hours. The table below can be used to show the same information.

Cost for Renting Bicycles
Number of Hours (h)
0
2
4
6
Cost (c)


If Francesca rents a bicycle for 2 hours and Phil rents a bicycle for 6 hours, how much more does Phil pay?

Answers

Answer:

$26

Step-by-step explanation:

To find your answer, simply plug in Francesca's time and Phil's time to your cost equation.

Francesca can be represented by the following equation:

[tex]c=6.5(2)\\c=13[/tex]

Phil can be represented by the following equation:

[tex]c=6.5(6)\\c=39[/tex]

As such, Francesca pays $13 and Phil pays $39. Next, since you want to find how much more Phil paid, all you have to do is subtract 13 from 39. That will give you $26.

4. Simplify the following expression: (2/5+4/3)/(3/5)
A. 3/14
B. 75/131
C. 26/9
D. 11/144​

Answers

it’s C because 2/5+4/3= 26/15 then divide it by 3/5 and you get 26/9

Answer: [tex]\bold{C.\quad \dfrac{26}{9}}}[/tex]

Step-by-step explanation:

[tex]\bigg(\dfrac{2}{5}+\dfrac{4}{3}\bigg)\div\dfrac{3}{5}\\\\\\\text{According to PEMDAS, the parenthesis must be performed first.}\\\\\bigg[\dfrac{2}{5}\bigg(\dfrac{3}{3}\bigg)+\dfrac{4}{3}\bigg(\dfrac{5}{5}\bigg)\bigg]\div\dfrac{3}{5}\\\\\\\bigg(\dfrac{6}{15}+\dfrac{20}{15}\bigg)\div\dfrac{3}{5}\\\\\\\dfrac{26}{15}\div\dfrac{3}{5}\\\\\\\text{Dividing by a fraction is multiplying by its reciprocal.}\\\dfrac{26}{15}\times\dfrac{5}{3}\\\\\\\text{Simplify.}\\\dfrac{26}{3}\times\dfrac{1}{3}[/tex]

[tex]=\large\boxed{\dfrac{26}{9}}[/tex]

Which mathematical property is demonstrated below?
a + b + 7 = 7+ b + a

Answers

Step-by-step explanation:

the demonstrated property is the commutative property

The equation a + b + 7 = 7 + b + a demonstrates the commutative property of addition, which means that the order of addition does not change the sum.

The mathematical property demonstrated by the equation a + b + 7 = 7 + b + a is the commutative property of addition. This property states that the order in which two numbers are added does not affect the sum. In other words, swapping the operands does not change the result. As shown in the equation and the principles outlined, whether you add a to b or b to a, the sum remains the same. This is true for the addition of ordinary numbers as well— you get the same result whether you add 2 + 3 or 3 + 2, for example.

the circumference of a circle is 64 cm.find the diameter ,the radius,the length of an arc of 190

Answers

Final answer:

The diameter of the circle is approximately 20.37 cm, the radius is approximately 10.18 cm, and the length of an arc measuring 190 degrees is approximately 33.8 cm.

Explanation:

The subject at hand concerns the properties of a circle, more specifically its circumference, diameter, radius, and arc length.

In this case, we know that the circumference of the circle is 64 cm. The circumference of a circle is calculated by the formula 2πr (where r is the radius), or can also be viewed as πd (where d is the diameter). If we equate 64 = 2πr, we can thus find the radius, r = 64/(2π), resulting in roughly a radius of 10.18 cm. The diameter of the circle is simply twice the radius, hence in this context, it would be roughly 20.37 cm.

The length of an arc is calculated by multiplying the radius by the angle (in radian measure), which is represented as θ = s/r. In this case, the arc length is not given directly but we are given an angle of 190, and this seems to denote 190 degrees. Although it's important to mention that the standard measure for calculating arc length is radians, if we convert 190 degrees into radians, we get about 3.32 rad. Thus the length of this specific arc will be r*θ=10.18*3.32, resulting in an arc length of about 33.8 cm.

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Final answer:

The radius of the circle with a circumference of 64 cm is approximately 10.18 cm, the diameter of the circle is 20.36 cm and the length of an arc of 190 degrees in this circle is approximately 33.78 cm.

Explanation:

The given circumference is 64 cm. In a circle, the circumference is given by the formula 2πr = Circumference, where r is the radius and π is a constant approximately equal to 3.14. We can rearrange this formula to find the radius: r = Circumference / 2π. Substituting the given value of the circumference, we have r = 64 cm / 2π ≈ 10.18 cm. This is the radius of the circle.

The diameter of a circle is twice the radius, hence the diameter of the circle is 2 * 10.18 cm = 20.36 cm.

Now, to find the length of an arc of 190 degrees in this circle, we first understand that the total angle in a circle is 360 degrees. Hence, the length of the arc corresponding to 190 degrees will be the ratio of 190 to 360 times the circumference. Therefore, arc length = (190/360) * 64 cm ≈ 33.78 cm.

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36
Which expression is equivalent to (h2 + 9h - 1)(-4h + 3)?
F -413 - 33h2 +31h - 3
G463 + 39h2 – 23h - 3
H -463 – 39h2 + 23h + 3
j
4h3 + 33h2 – 31h + 3

Answers

Answer:

I THINK IT IS THE SECOND ANSWER

Step-by-step explanation:

Answer:

it is -413 - 33h2 +31h - 3

F is the answer I did the math

Find the greatest common factor 7x^3a+7x^2a^2

Answers

Answer:

7x^2a

Step-by-step explanation:

7x^3a+7x^2a^2

7x^3a = 7 xxxa

7x^2a^2= 7 xxaa

The common terms are 7xxa

7x^2a

This is the greatest common factor

Which of the following are solutions to | x+3 = 4x - 7? Check all that apply.

Answers

Answer:

x=​5/​4, ​3/10

Answer:B. x=10/3

Step-by-step explanation:

A P E X

Let f(x)=x^2-5x-36.

Enter the x-intercepts of the quadratic function in the boxes.

x= and x=

please help

Answers

Answer:

9 and -4

Step-by-step explanation:

Find two numbers that multiply to be -36 and add to be -5.

That is -9 and 4.

So the factored form of x^2-5x-36 is (x-9)(x+4)

So the x-intercepts are 9 and -4

find the slope of the line that contains the following points. r(-2, 4), s(6, -2)

Answers

Finding the slope using two points:

The formula for slope is

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

In this case...

[tex]y_{2} =-2\\y_{1} =4\\x_{2} =6\\x_{1} =-2[/tex]

^^^Plug these numbers into the formula for slope...

[tex]\frac{-2 - 4}{6 - (-2)}[/tex]

[tex]\frac{-6}{8}[/tex]

^^^Can be further simplified to...

[tex]\frac{-3}{4}[/tex]

^^^This is your slope

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

[tex]{\displaystage\boxed{\frac{-3}{4}}[/tex]

Step-by-step explanation:

Slope formula:

     ↓

[tex]\displaystyle\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\displaystage y_2=(-2)\\\displaystage y_1=4\\\displaystage x_2=6\\\displaystage x_1=(-2)\\[/tex]

[tex]\displaystage \frac{-2-4}{6-(-2)}=\frac{-6}{8}=\frac{-6\div2}{8\div2}=\frac{-3}{4}[/tex]

-3/4 is the correct answer.

I hope this helps you, and have a wonderful day!

If f(x) = 2x-1 + 3 and g(x) = 5x-9, what is (f-g)(x)?

Answers

Answer:

-3x+11

Step-by-step explanation:

f(x) = 2x-1 + 3 =2x+2

g(x) = 5x-9

(f-g)(x)=  2x+2 - (5x-9)

Distribute the minus sign

         = 2x+2 - 5x +9

Combine like terms

        = -3x+11

what is 7x-7=4x+14 equal

Answers

7x -7 = 4x + 14

7x = 4x + 21

3x = 21

X= 7

Hope this helps!

For his long distance phone service, bill pays a $7 monthly fee plus 7 cents per minute. Last month, bill’s long distance bill was $18.27. For how many minutes was bill billed?

Answers

Answer:

161 minutes

Step-by-step explanation:

$1827-$7=$11.27

$11.27/.07=161

Answer:

161 minutes

Step-by-step explanation:

Bill pays a monthly fee for his long distance phone service = $7.00

and call charges per minute = 7 cents

1 dollar = 100 cents

Therefore 7 cents = [tex]\frac{7}{100}[/tex] = $0.07

Last month, Bill's long distance bill was $18.27.

Let Bill used the phone service for x minutes

The equation for his uses in minutes :

7.00 +(0.07x) = 18.27

0.07x = 18.27 - 7.00

0.07x = 11.27

x = [tex]\frac{11.27}{0.07}[/tex]

x = 161 minutes

Bill was billed for 161 minutes.

What makes a trapezoid an isosceles trapezoid?
A. Its legs are congruent.
B. its bases are congruent
C. Its opposite angles are congruent.
D. Its diagonals bisect each other

Answers

B. It’s bases are congruent

Explanation: A trapezoid is a quadrilateral with exactly one pair of parallel sides. In a trapezoid the parallel sides are called bases. A pair of angles that share a base as a common side are called a pair of base angles. A trapezoid with the two non-parallel sides the same length is called an isosceles trapezoid.

Answer:

  A.  Its legs are congruent.

Step-by-step explanation:

It is a parallelogram if ...

the bases are congruent,opposite angles are congruent, orthe diagonals bisect each other.

Using the figure below, select the two pairs of alternate interior angles.
A:point 1 and point 4
B :point 2 and point 3
C:point 6 and point 6
D:point 5 and point 7​

Answers

Answer:

B :point 2 and point 3

Step-by-step explanation:

The only interior angles are 6, 2, 3, and 7

The angles equal to each other are 6 and 7 or 2 and 3

6 and 7 is not an option so 2 and 3 are the correct answer.

B is the answer since 2,3,6,7 are interior angles. The opposite of each other create alternate interior angles

Since 2 and 3 is the opposite of each other the answer is B. Hope this helps!

what would be the values of f(f-1(17)) and f-1(f(2))? FAST HELP

Answers

Answer:

f(f-1(17)) = 17

f-1(f(2)) = 2

Step-by-step explanation:

Lemma;

If f(x) and g(x) are inverses, then the compositions  f(g(x)) = g(f(x)) = x.

In both situations, we are determining the composite of inverse functions;

f and f-1

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