9. You have a box that is a cube with side length of 10 cm. Will a pencil that
is 17 cm long fit inside the box? Explain your reasoning.

Answers

Answer 1

The pencil will fit if its length is smaller than length of the diagonal of the cube

The pencil will fit inside the box

How to determine if the pencil will fit?

The dimension of the cube is given as:

L = 10 cm

Calculate the diagonal (D) of the cube using:

D = (3L^2)^(1/2)

So, we have:

D = (3 * 10^2)^(1/2)

Evaluate

D = 17.3

The length of the diagonal is greater than the length of the pencil (17 cm)

Hence, the pencil will fit inside the box

Read more about diagonals at:

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Related Questions

The temperature rose 2°C each hour for 6 h. Use integers to find the total change in
temperature

Answers

12·C

Step-by-step explanation:

2 * 6 = 12·C

Question 1 of 5
Clara is running a bakery. She has made a street sign to direct people to her
bakery. She painted one side of the post and sign. What is the painted area?
8 in
8 in
5 in
60 in
4 in

Answers

Answer:

the most logical answr would be 60 in

Step-by-step explanation:

Which number sentence shows the correct placement of the decimal point in the product, based on the two factors?

Answers

Answer:

c i think

Step-by-step explanation:

Answer:

25.07 × 5.4 = 135.378

Step-by-step explanation:

In placement of the decimal point in multiplication , first check the numbers that will multiply and count the individual decimal points in the numbers. In this case, 25.07 × 5.4 = 2 * 1 -------decimal place The answer should have  2+1 = 3 decimal places-----note the addition sign 25.07 × 5.4 = 135.378 ---------the answer has 3 decimal places The first answer is incorrect because ; 2.52 × 27.94 = 704.088 ----2 *2 = 4 , but the answer has 3 The second answer is incorrect because; 94.1 × 2.5 = 23.525 -----1 * 1= 2 decimal places, the answer has 3 The third answer is incorrect because ; 1.83 × 2.9 = 53.07--------2*1= 3 decimal places , the answer has 2

Find x to the nearest tenth.

Answers

Answer:

B. 14.4

Step-by-step explanation:

Hi there !

Angle Bisector Theorem =>

=> 8.3/6.7 = x/11.6

x = 8.3×11.6/6.7

= 96.28/6.7

= 14.37

≈ 14.4

Good luck !

What is the missing term in the factorization?
[tex] 18x ^{2} - 32 = 2(3x + ?) )(3x - 4)[/tex]

Answers

Answer: 4 since (3x-4)(3x+4) is a difference of squares

Step-by-step explanation:

Problem number 26 of the Rhind Papyrus says: Find a quantity such that when it is added to StartFraction 1 Over 4 EndFraction of itself the result is a 15. The modern day equation that models this problem is x plus StartFraction 1 over 4 EndFraction x equals 15.. What is the solution to the equation? x = 10 x = 12 x = 15 x = 30

Answers

Answer:

The quantity is 12

Step-by-step explanation:

Here, we want to find the solution to the equation.

Let the quantity we are looking for be x;

According to the question;

The quantity plus a quarter of the quantity = 15

x + 1/4(x) = 15

x + x/4 = 15

Multiply through by 4

4x + (x/4)*4 = 15 * 4

4x + x = 60

5x = 60

x = 60/5

x = 12

Answer:

top one is correct, it is 12!

Step-by-step explanation:

its b on edg. 2020

how is this pattern changing to get from one term to the next 55,49,43,37,31​

Answers

Answer:

its changing by 6 if you look the get subtracted or added by six to mae those numbers

Step-by-step explanation:

31 + 6= 37

37 + 6= 43

43 + 6= 49

49 + 6= 55

I need help with this question ASAP no rocky.

Answers

it’s D! hope this helps!!

Solve each problem. Write each answer in simplest form. I. Kayla found a recipe for banana walnut bread that uses 3/4 cup of walnuts. If she wants to make only half of the recipe, how many cups of macadamia nuts should Kayla use?​

Answers

Answer:

3/8

Step-by-step explanation:

3/4=6/8

find half of that

3/8


The money used in Mexico is called the Peso. The exchange rate is $10 for 222 pesos. How many pesos will you receive if you exchange $25?

Answers

Answer:

555

Step-by-step explanation:

two ways.

25/10=2.5 so 222x2.5=555

or

(222/10)x25=555

Answer:

555 pesos

Explain:

222+222 (20$)

222:2= 111

444+111= 555 pesos

anyone know what these two questions are? the subject is scientific notation

Answers

Answer:

1. The negative sign on an exponent means the reciprocal. A negative exponent tells how many times to divide a base number.

2. A positive tells how many times to multiply a base number.

could you also give me a brainliest if I am correct.

thanks!

15 points) HELP ASAP

Answers

Answer:

Perimeter of square = 24. Side of square = 24/4 = 6. Area of square = 6^2 = 36 sq units.

Step-by-step explanation:

x + y = 180. what is domain and range

Answers

Answer:

[tex]Domain: \left \{ -\infty<x<\infty \\\right\}[/tex]

[tex]Range:\left\{-\infty<f(x)<\infty\right\}[/tex]

Step-by-step explanation:

[tex]x+y=180[/tex]

First, let's put this equation into slope-intercept form by subtracting [tex]x[/tex] from both sides of the equation:

[tex]y=-x+180[/tex]

Let's graph this (see the attached photo.)

As you see we have a straight line. If you are able to graph a straight line, the domain and range will be all real numbers. This can be represented as:

[tex]Domain: \left \{ -\infty<x<\infty \\\right\}[/tex]

- or -

[tex]Domain:(-\infty,\infty)[/tex]

~

[tex]Range:\left\{-\infty<f(x)<\infty\right\}[/tex]

- or -

[tex]Range:(-\infty,\infty)[/tex]

3/4(x+5 1/2) = 5/8

Distributive Property

Brainly

Answers

Answer:

x = - [tex]\frac{14}{3}[/tex]

Step-by-step explanation:

Given

[tex]\frac{3}{4}[/tex] (x + 5 [tex]\frac{1}{2}[/tex] ) = [tex]\frac{5}{8}[/tex]

Multiply both sides by 8 to clear the fractions

6(x + 5 [tex]\frac{1}{2}[/tex] ) = 5 ← distribute parenthesis on left side

6x + 33 = 5 ( subtract 33 from both sides )

6x = - 28 ( divide both sides by 6 )

x = [tex]\frac{-28}{6}[/tex] = - [tex]\frac{14}{3}[/tex]

What is the quotient
1/2 divided by 8

Answers

[tex]1/2[/tex] (or 0.5) divided by 8 is 0.0625

First you must set up the equation.

[tex]\frac{0.5}{8}[/tex]

Then, divide 0.5 by 8

0.0625

0.0625 or 1/16 is the correct answer

PLs answer this 2 questions i will mark u as the brainliest

Answers

Answer:

3 answer

Step-by-step explanation:

45-9x=4x-20

-5x=-65

x=13

Analyze the following equation.
m/16 = 19
Which math step will most efficiently solve the equation?
Multiply both sides of the equation by 16.
Divide both sides of the equation by 16.
Add 16 to both sides of the equation.
Subtract 16 from both sides of the equation.

Answers

Answer:

multiply by 16

Step-by-step explanation:

you have to single out the variable m so you would do the opposite

to dividing which is multiplying

PLEASE HELPP :( ,,, What is the value of x?
(4x - 25)
(2x - 1)

A 11
C 23
B 12
D 46

Answers

Answer:

C it's just c trust me sooooooo

The value of x is 12.

What is vertically opposite angle?

Angles that are vertically opposed to one another at a certain vertex are formed by two straight lines intersecting. Angles that are vertically opposed to one another are equal.

The two angle are (4x - 25)° and (2x - 1)°,

Since, both the angles are vertically opposite angle,

Therefore, by the vertically opposite angle property,

Both the angles will be equal.

4x - 25 = 2x - 1

2x = 24

x = 12

The value of x is 12.

To learn more about Vertically opposite angle on:

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PLSSSSSS!!!! HELP ME I WILL MARK YOU!!!!!!!!!!

Answers

Answer:

2.25

Step-by-step explanation: Replace the z with the value given (-18) and then multiply that by 1.1 you can then add it to 21.3 and then do the exponent

Answer:

2.25? i think thats right........

HURRY JUST GIVE THE ANSWER PLZ!!

Answers

m<1 + m<2 = 180 - m<3 and m<1 + m<2 + m<3 = 180

select the correct answer. the values in the table define the function f(x). if g(x) is the inverse of f(x) , what id the value of g(1)? X-1 ,1,4,6,7 F(X) -3,-1,1,4,6 A.1 B.2 C.3 D.4 E.5​

Answers

Answer: D. 4

Step-by-step explanation:

The correct option is Option D: the value of g(1) is 4.

What is the Inverse function?

An inverse function is a function which reverses the function direction for which the range of the function becomes the domain and the domain of the function becomes the range of the inverse function.

If y =  f(x) is the given function then x = f⁻¹(y) is the inverse function.

Here, given in the question the value of x and the value of f(x).

for which f(-1)= -3

f(1)= -1

f(4)= 1

f(6)= 4

f(7)= 6

So let the value of f(x) is y

we can write y=f(x)

applying inverse on both side

⇒f⁻¹(y)= f⁻¹(f(x))

⇒f⁻¹(y)= x

⇒ x= f⁻¹(y)

given that the inverse of f(x) is g(x)

so now the equation will be

⇒ x= f⁻¹(y)=g)y)

⇒ x= g(y)

according to the above function at the value of y, the inverse of the function will be g(y)=  f⁻¹(y)

so from the table it is clear that at the value of x=4, f(x)=y=1.

So at y=1, 1=f(4)

so applying inverse on both side

⇒ f⁻¹(1)= f⁻¹(f(4))

⇒ f⁻¹(1)= 4

⇒g(1)= 4

Therefore the value of the g(1)= 4.

Learn more about inverse function

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what equation in slope intercept form for the line that passes through point (8,-3) and has a y intercept of -2

Answers

Answer:

y=-8x-2

Step-by-step explanation:

The formula for slope is y2-y1/x2-x1. Take coordinate (0,-2), which is the y-intercept. We'll call that (y2,x2). Coordinate (8,-3) is (y1,x1). Put that into the formula you get, 0-8/-2-(-3). You get -8/1 which is negative 8. We now have the slope. Slope intercept form equation is y=mx+b. M is slope, so we put our slope in the equation and get, y=-8x+b. B is the y-intercept which is given. So we know that the equation to this line in slope-intercept form is y=-8x-2.

In 1985,there were 285 cell phone subscribers in the small town of centerville.The number of subscribers increased by 75% per year after 1985.How many cell phone subscribers were in centerville in 1994?​

Answers

4,482 is the answer

A. 8 _-8 _
B. -25_ _ 0
C. -12 4 _ _

Answers

Answer:

A : 8 , 0 , -8 , -16

Step-by-step explanation:

A teacher looked at the amount of assignments that his students tumed in at the start of the trimester (week 1) versus the end of the trimester (week 12). He noticed that the amount of
homework that the students turned in each week can be modeled by a linear function
In week one, his students turned in 354 assignements. In week 12, they turned in 266 assignments. What is the rate of change in assignments per week?

A. -7 1/3
B.-8
C.-44
D.-88

Answers

The answer to this question is -8 please give 5 start and hart me ttyl

please help me out thanks :(

Answers

Answer:

Blank 1 : 4 places to the left, you get 4.1 * [tex]10^{4}[/tex]

Blank 2 : The exponent on the ten = 4

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

V = I * w * h solve for w

Answers

V=lwh

w=v/lh

BRINALIEST PLS HOPE this HELPS

What is the value of x in the equation 5.5x = 17.6?
3.2
12.1
23.1
96.8

Answers

Answer:

3.2

Step-by-step explanation:

rephrase question to isolate the variable x

can do this is by dividing both sides by 5.5

5.5 ÷ 5.5 = 1 so:

x = 17.6 ÷ 5.5

3.2

Because:
5.5x=17.6
—— ——
5.5x 5.5x

X=3.2

Which segments are congruent in the given figure?
A) B) C) D)​

Answers

Answer:

B)

Step-by-step explanation:

DE = 3

EF = 3

so DE and EF are segments.

As the weather changes from Summer to Fall, it was noted that the temperature dropped 20°F over 4 weeks. It continued to drop the same amount of degrees for each week. Write an integer that represents the change in temperature each week. Explain.

Answers

Answer:

The integer that represents the change in the temperature each week = 5

The temperature of the weather drops 5°F each week

Step-by-step explanation:

The given parameters regarding the weather are;

The range over which the temperature dropped = 20°F

The duration over which the temperature dropped = 4 weeks

The rate at which the weather dropped each week = The same amount (constant rate)

Therefore, we have;

For a constant rate of change, the rate of change of the temperature of the weather, m, is given as follows;

m = (The change in the temperature)/(The duration of the change)

m = 20°F/(4 weeks) = 5°F/week

The integer that represents the change in the temperature each week = 5

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