What is the length of diagonal d of a cube that is 10 on each edge?Round your answer to the nearest tenth of an inch.

Answers

Answer 1

Answer:

17.3 in

Step-by-step explanation:

(a) Diagonal on a face

First, we calculate the diagonal f on a face of the cube.

a² + a² = f²

       f² = 2a²

(b) Diagonal of the cube

Consider the triangle made by the diagonal d, diagonal f, and the edge of the cube

                                                            d² =  f²   + a²

Substitute the value of f²                   d² = 2a² + a² = 3a²

Take the square root of each side     d = a√3

Substitute the value of a                     d = 10√3 = 10 × 1.732 = 17.3 in

The diagonal of the cube is 17.3 in.

What Is The Length Of Diagonal D Of A Cube That Is 10 On Each Edge?Round Your Answer To The Nearest Tenth

Related Questions

The cone shown has a diameter of 16 m and a slant height of 10 m which choice is the closest to the lateral surface area

Answers

Answer: 251 square meters.

Step-by-step explanation:

You need to use the formula for calculate the lateral surface area of a cone:

[tex]LA=3.14rl[/tex]

Being "r" the radius of the cone and "l" the slant height.

Calculate the radius:

[tex]r=\frac{diameter}{2}\\\\r=\frac{16m}{2}\\\\r=8m[/tex]

Now that you know the radius and the slant height of the cone, you need to substitute them into the formula for calculate the lateral surface area of the cone:

[tex]LA=(3.14)(8m)(10m)\\LA=251.2m^2[/tex]

Therefore, the closest choice to the lateral surface area of the cone is: 251 square meters.

Need to find the sum of 50

Answers

Answer:

4600

Step-by-step explanation:

This is an arithmetic sequence with common difference d between consecutive terms.

d = - 2 - (- 6) = 2 - (- 2) = 6 - 2 = 4

The sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex][ 2a + (n - 1)d ]

where a is the first term

here a = - 6, d= 4 and n = 50, hence

[tex]S_{50}[/tex] = [tex]\frac{50}{2}[/tex] [ (2 × - 6) + (49 × 4) ]

                           = 25 ( - 12 + 196 )

                           = 25 × 184

                           = 4600

Find the area of the irregular figure. I've been stuck on this for awhile. Please help and explain how you did it.

Answers

Answer: 368 ft^2

Step-by-step explanation:

Pretend it is a square and multiply both sides (23*20=460). The triangle that is cut out has an area of 92 (23*8/2). We know the height of the triangle is 8 because 20-12. We subtract 460-92 and get our answer. :)

to the risk of sounding redundant, as the previous posting is absolutely correct.

Check the picture below.

we know the circum-inscribing figure is a square, namely a 23x20, so it has an area of 23*20 = 460 ft².

the distance from the bottom up, is 20, however to the tip of the triangle is 12, so the diffference is 20 - 12 = 8, meaning the triangle, in yellow, has a height/altitude of 8 ft, and we know its base is 23 ft.

so if we simply take the whole area of the square, and then subtract the area of the triangle, we're in effect making a whole in the squarish area, and what's leftover is the shaded area.

[tex]\bf \stackrel{\textit{square's area}}{(23\cdot 20)}~~~~-~~~~\stackrel{\textit{triangle's area}}{\cfrac{1}{2}(23)(8)}\implies 460~~-~~92\implies 368~ft^2[/tex]

Three different members of the set {4,5,6,7,8,9} are chosen at random and added. How many different sums are possible?

Answers

There are 10 sums that are possible

What fraction is equivalent to 0.4?

Answers

2/5

How? The decimal .4 is out of ten so it’s 4/10 but then you simplify it and get 2/5

Hope this helps and have a blessed day!

Using the place value chart we can see that the decimal 0.4 is four tenths, so we can write 0.4 as the fraction 4 out of 10 or [tex]\frac{4}{10}[/tex]. Notice however that [tex]\frac{4}{10}[/tex] is not in lowest terms so we need to divide both the numerator and denominator by the greatest common factor of 4 and 10 which is 5.

Therefore, 0.4 can be written as the fraction 2/5, which is in lowest terms.

Which operation has an inverse relationship with multiplication? A. Addition B. Division C. Squaring D. Subtraction

Answers

Answer:

B. Division

Step-by-step explanation:

inverse - something that is the opposite or reverse of something else.

Mathematically, inverse operations are opposite operations. Addition is the opposite of subtraction; division is the opposite of multiplication, and so on. Inverse operations are used to solve simple algebraic equations to more difficult equations that involve exponents, logarithms, and trigonometry.

Final answer:

Division is the operation that has an inverse relationship with multiplication, as they 'undo' each other through the use of reciprocals.

Explanation:

The operation that has an inverse relationship with multiplication is division. In mathematics, inverse operations are pairs of operations that 'undo' each other. Just as subtraction is the inverse operation of addition, division is the inverse when it comes to multiplication. When you multiply a number by another number, you can reverse this action by dividing the product by the same number.

To better grasp this concept, let's consider the relationship between multiplication and division with fractions. If we divide by 8, it is equivalent to multiplying by 1/8. Conversely, multiplying by 1/8 is the same as dividing by 8. Therefore, these two operations, multiplication and division, are interconnected through the use of reciprocals.

Eliminate the parameter.
x = t + 4, y = t2 (5 points)


y = square root of x + x + 4

y = square root of quantity x minus four

y = x2 + 16

y = x2 - 8x + 16

Answers

Answer:

Last option

Step-by-step explanation:

We have the following equations:

[tex]x = t + 4\ ,\ \ y = t ^ 2[/tex]

The parameter that we must eliminate is t.

To eliminate the parameter we must clear t from both equations:

[tex]x = t + 4\\\\x -4 = t[/tex]

[tex]y = t ^ 2\\\\\sqrt{y} = t[/tex]

if  [tex]t = \sqrt{y}[/tex]  and [tex]t = x-4[/tex]

So:

[tex]\sqrt{y} = x- 4[/tex]

We square both sides of the inequality

[tex]y = (x-4) ^ 2\\\\y = x ^ 2 -8x +16[/tex]

Which answer is the correct one?

a survey asked 60 students if they play an instrument and if they are in band

1.- 35 students play and instrument
2.- 30 students are in band
3.- 30 students are not in band.

which table shows these dates correctly entered in a two way frequency table?

Answers

It would be A. First look at how many play an instrument. A is the only one with 35, which is seen in the total column. To confirm, look at the who is in band or not in band and you'll see in the total row, 30 were in band and 30 were not. This matches exactly with the prompt.

A is gonna be right for apex

Xa/xb = xa-b. This is the______of Powers of property. The word is 8 letters long​

Answers

Answer:

This is the Quotient of Powers of property. HOPE THIS HELPS!!!

Step-by-step explanation:

Answer:

Power is the Correct Answer

Step-by-step explanation:

Hoped I helped anybody!!!

The coordinates of the vertices of the triangle shown are P(−7, 6), Q(5, −4), and R(−7, 4). Which measurement is closest to the length of PQ in units?






Answers

Answer:

The Answer Is D

Step-by-step explanation:

:)

Answer:

D) 15.6 units

Step-by-step explanation:

Apply the Pythagorean theorem,

the square root of 12^2 + (-10^2) = the square root of 244 = 15.6 units

Which diagram represents a fraction equivalent to 75%?

Answers

Answer:

Honestly i think i know which diagrams your talking about but if it there is an option that has 20 squares and only 15 are shaded then thats the one u choose I'm thinking that option is c

I hope this helps please mark me brainliest

Answer:

C. The third diagram

Step-by-step explanation:

I did the quiz on edge, hope u have a good day :)

|

|

V

What do I do to answer this question

Answers

Answer:

16

Step-by-step explanation:

(-4) * (-4) = 16

BECAUSE... a negative times a negative equals positive

Answer:

16

Step-by-step explanation:

-4 X -4 = 16

B squared means a number times itself.

Plllllzzzzzzzzzzzzz!!!!!!!!

Answers

Answer:

Alternative C is correct;

Yes, there is evidence at the 5% significance level

Step-by-step explanation:

To determine whether a linear relationship does exist between shoe size and height, we shall simply be testing the null hypothesis;

β=0

against the alternative;

β≠0

From the output, the p-value of the coefficient of height is given as 0.042 or equivalently 4.2%

Since the p-value, 4.2% is less than 5% level of significance we reject the null hypothesis that claims no linear relationship exists between the shoe size and height.

How many thirds are in 1/3?

Answers

Answer: One

Step-by-step explanation:

If you say the fraction out loud, it it pronounced one third.

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷There are 3 thirds on one third, because if something is one THRID, that means it is one out of three parts. One third of one third is 1/9.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

TROLLER

Aaron designed a robot for a contest. His robot can move 3/4 meter in 1/2 second. What is the robot’s unit rate of speed

Answers

Answer:

3/4 divided by one half is multiplying by 2 so 6/4 meter

simplify 6/4 into 3/2 meters per second

Answer:

3/4 divided by one half is multiplying by 2 = 6/4 meter

simplify 6/4 into 3/2 meters per second

Step-by-step explanation:

3/4 divided by one half is multiplying by 2 = 6/4

and  u simplify 6/4 into 3/2 meters per second

Nick types 275 words in 2.5 minutes. At this rate, how many hours would it take for him to type 9900 words?

Answers

3/5 of an hour (0.6 hours)



First, find how many words Nick types in an hour by multiplying 275 * 60.

Nick types 16,500 words per hour.

Now just divide 9,900 by 16,500.

It takes Nick 3/5 of an hour to type 9,900 words. (0.6 hours)



Please consider marking this answer as Brainliest to help me advance.

Solve graphically the system of linear equations: 3x−2y=6 3x+10y=−12


Please help me

Answers

Answer:

The solution of the system of equations is the point [tex](1,-1.5)[/tex]

Step-by-step explanation:

we have

[tex]3x-2y=6[/tex] -----> equation A

[tex]3x+10y=-12[/tex] -----> equation B

we know that

The solution of the system of equations is equal to the intersection point both graphs

using a graphing tool

The intersection point is [tex](1,-1.5)[/tex]

therefore

The solution of the system of equations is the point [tex](1,-1.5)[/tex]

PLEASE HELP ME !!!!

Money that is earned is called
A. income
B. expenses
C. records
C. budget

Answers

Answer:

a

Step-by-step explanation:

Answer:

A. income

Step-by-step explanation:

There are 4 KSU socks and 3 KU socks in a drawer. What is the probability of randomly selecting a KSU sock?

Answers

4/7, since there are 4 KSU socks and 7 total socks.

It's step by step. First you need to do 4+3 which equals 7, which is the total number of socks. Since the number of KSU socks is 4, the probability is 4/7.

Note-If another problem like this comes up and the two numbers have a common factor divide those numbers by that common factor and you get the simplest form of the ratio. This note was just a heads up.

What is the area of the figure

Answers

Answer:

91 [tex]in^{2}[/tex]

Step-by-step explanation:

the formula for the area of a triangle is bh1/2 =A

b =12 h =7

12 x 7 = 84

84 divided by half (or multiplied by 0.5) = 42

the triangle is 42

and the square is...

7 x 7 =49

49 +42 = 91

91 [tex]in^{2}[/tex]

hope this helped! Please mark as brainlest! Thanks!

Jaylyn rode her bicycle in a bike a thon she rode 33.48 miles in 2.7 hours If she rode at the same speed what was her speed in miles per hour

Answers

Answer 12.4

Step-by-step explanation:

33.48/2.7=12.4

Answer: 12.4

Step-by-step explanation: 33.48/2.7=12.4

I Hope This Helps!!!

Choose the correct correspondence
D <->
Options
1.R
2.K
3.O

Answers

Answer:

K

Step-by-step explanation:

Assuming you are asking for congruent parts, correspondence is the part which corresponds and is also equal.

Angle D is congruent and corresponds to Angle K for these congruent triangles.

Answer:

k

Step-by-step explanation:

d is in the same place as k just its flipped if ya flip it it will be in the exact places just other sides

How many solutions does the system of linear equations have ? Y=3/4x+12

Answers

Infinitely many/all real numbers

Find the area of a square with side of 7 feet. 56 ft.2 49 ft.2 14 ft.2

Answers

Answer:

49 sq ft

Step-by-step explanation:

multiply 7 by 7

Answer:

49 ft.

Step-by-step explanation:

All sides of a square are equal so, that means all sides are 7 ft long

You have to multiply 7 x 7 because all sides are 7 ft long

7 x 7 = 49

Add the following lengths: 12'11" + 11'3" ‾‾‾‾‾‾ ' "

Answers

Answer:

12'11" + 11'3" = 24'2".

Hope this helps!

Davinia.

To add 12'11" and 11'3", convert excess inches to feet and add them to the total feet to get a result of 24 feet 2 inches.

To add the lengths 12'11" and 11'3", we first add the inches (11 inches + 3 inches = 14 inches). Since there are 12 inches in a foot, we convert the 14 inches into 1 foot and 2 inches. We then add the feet (12 feet + 11 feet + 1 foot from the inch conversion = 24 feet). Therefore, the total length is 24 feet 2 inches.

Parallel lines are preserved in which of the following types of transformations?

Answers

Parallel lines are preserved in:

Reflections, Translations & Rotations

Final answer:

Parallel lines maintain their geometric property of not intersecting through all three transformations: rotations, reflections, and translations. Therefore, the correct answer is Option B. l, II, and III.

Explanation:

In the field of mathematics, particularly in geometry, transformations involve the manipulation of shapes while preserving their essential properties. In the case of parallel lines, their key property is that they do not intersect, regardless of their length.

Out of the transformations listed - rotations, reflections, and translations - parallel lines are preserved in all three. Therefore, your answer is Option B. l, II, and III.

Specifically, a rotation spins the figure around a fixed point, a reflection flips the figure over a line, and a translation slides the figure along a straight line, parallel to the original lines. In all these transformations, the lines remain parallel to each other.

Learn more about Parallel Lines and Transformations here:

https://brainly.com/question/28340326

#SPJ3

the complete question is written below:

Parallel lines are preserved in which of the following types of transformations?

l. rotations

II. reflections

Ill. translations

A. I and II only

B. l, II and Ill

C. I only

D. I and III only

Find y. Round to the nearest tenth

Answers

Answer:

17.24

Step-by-step explanation:

The value of y is 243 ft.

We can use the sine function to find the missing side.

sin(28°) = opposite / hypotenuse

sin(28°) = y / 500

y = 500 * sin(28°)

y = 500 * 0.485

y = 242.5 ft

Round to the nearest tenth:

y = 243 ft

For such more question on value

https://brainly.com/question/30760879

#SPJ6

Order the expressions from least value to greatest value.

Answers

you have to answer all of the equations first

-4.8 • 3.2 = -15.36 (negative times a positive is negative)


2 1/4 + (-1 2/5) first find a common denominator, which would be 20

9/4= 45/20
-7/5 = -28/20

since adding a negative is the same as subtracting a positive, you would subtract 45 and 28 which is 17.

17/20 = 1 3/20 (the answer)

turn the fraction into a decimal by dividing the top number by the bottom number, so 17/20 = 0.85


4.92 divided by -3 equals -1.64 (the answer)


-2 3/5 - (-1 2/5)

make them into improper fractions which is -13/5 and -7/5

it stays negative, so the answer is -6/5 or -1.2

so the answer is
-4.8 • 3.2 < 4.2 divided by -3 < -2 3/5 - (-1 2/5) < 2 1/4 + (-1 2/5)

The order of the expressions from least value to the greatest value is Number 1 < Number 3 < Number 4 < Number 2 and this can be determined by using the arithmetic operations.

Given :

Number 1 --    [tex]-4.8\times 3.2[/tex]

Number 2 --    [tex]2\dfrac{1}{4}+(-1\dfrac{2}{5})[/tex]

Number 3 --    [tex]\dfrac{4.32}{-3}[/tex]

Number 4 --    [tex]-2\dfrac{3}{5}-(-1\dfrac{2}{5})[/tex]

Evaluate the given expression to determine the order of the expressions from least value to the greatest value.

Number 1 ---    [tex]-4.8\times 3.2 = -15.36[/tex]

Number 2 ---     [tex]2\dfrac{1}{4}+(-1\dfrac{2}{5}) = \dfrac{9}{4}-\dfrac{7}{5}=\dfrac{17}{20}[/tex]

                          [tex]2\dfrac{1}{4}+(-1\dfrac{2}{5}) = 0.85[/tex]

Number 3 ---      [tex]\dfrac{4.32}{-3}= -1.44[/tex]

Number 4 ---      [tex]-2\dfrac{3}{5}-(-1\dfrac{2}{5})=-\dfrac{13}{5}+\dfrac{7}{5}= \dfrac{-6}{5}[/tex]

                           [tex]-2\dfrac{3}{5}-(-1\dfrac{2}{5})=-1.2[/tex]

Number 1 < Number 3 < Number 4 < Number 2

For more information, refer to the link given below:

https://brainly.com/question/15385899

Which decimals in the list are repeating decimals?
1/3
3/5
4/15
5/6
4/1,000
1 /34

Answers

Answer:

1/3, 4/15, 5/6, and 1/34.

Step-by-step explanation:

If you divide it and it keeps going when you divide it, it is a repeating decimal.

1/3=.333 repeating.

1/3, 4/15, 5/6, and 1/34 are the answers.

Can someone help me with this problem? Please.

Answers

Answer:

(7x-1)-3(7x-1)

Step-by-step explanation:

First write out the problem

7x^2-22x+3

Next, Factor the expressions

7x^2 - x - 21x + 3

Now factor the whole thing

x(7x-1)-3(7x-1)

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