The side length of a cube is square root of three.
Which answer is a rational value?

A) the diagonal of HE top square

B) the total area of the front and bottom square

C) the perimeter of the front and bottom squares

D) the volume

Answers

Answer 1
I hope this helps you
The Side Length Of A Cube Is Square Root Of Three. Which Answer Is A Rational Value? A) The Diagonal
Answer 2
The correct answer of the given question above would be option D. Based on the given description above, if the side length of a cube is square root of three, the answer that is a rational value would be the volume. Hope this is the answer that you are looking for. 

Related Questions

List 5 numbers with 6 in the tens place

Answers

The list of 5 numbers with 6 in the tens place are [tex]\boxed{265,{\text{ 67, 163, 969, 2165, 31462}}}.[/tex]

Further explanation:

Explanation:

The whole numbers is the series of numbers that starts from zero.

The natural numbers are those numbers that start from one.

The place values are only natural numbers.

The base ten systems represent the position of a place value.

After decimal the first place is the tenth place, the second place is the hundredth and the third place is the thousandth.

Consider a number as [tex]265.[/tex]

Here, number 5 is on the ones place, number 6 is on the tens place and 2 is on the hundreds place.

Hence, the list of 5 numbers with 6 in the tens place are [tex]\boxed{265,{\text{ 67, 163, 969, 2165, 31462}}}.[/tex]

Learn more:

Learn more about inverse of the functionhttps://brainly.com/question/1632445. Learn more about equation of circle brainly.com/question/1506955. Learn more about range and domain of the function https://brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Decimals

Keywords: list of 5 numbers, numbers, hundreds place, tens place,  whole number, decimal, compare, contrast, methods, base ten system, place value, decimal expansion, natural numbers, real numbers.

Final answer:

Five numbers with 6 in the tens place are 60, 61, 62, 63, and 64. Each has the digit 6 immediately to the left of the ones place.

Explanation:

To list 5 numbers with 6 in the tens place means that each number must have its second digit from the right as a 6. Here are five numbers that meet this criterion:

60

61

62

63

64

Each of these numbers has a 6 in the tens place, which we can confirm by looking at the digit immediately to the left of the ones place.

Javier drove 45 miles. this represents 60% of his entire rode trip. what is the total number of miles in javier's trip?

Answers

45 ÷ .60 = 75


75 miles is the total

Which of the following has the most inertia, four kilograms of iron or four kilograms of cork? ...?

Answers

Answer:

Both will have same inertia.

Step-by-step explanation:

The inertia of a body is defined as its property to oppose the state of rest or uniform motion. In this question, we have to write out of four kilograms of iron and four kilograms of cork which will have maximum inertia. Inertia of a body is also equal to measure of its mass.

In this case, the masses of both iron and cork are same i.e. 4 kg. So, it is clear that the inertia of both iron and cork are same due to their same masses.

The shortest distance from the curve xy=4 to the origin is... ...?

Answers

sqrt(8) The distance between some point of the curve and the origin can be calculated in such a way sqrt(x^2+(f(xW))^2)

We need to find the minimum of that function. Let's look at it's derivative:sqrt((x^2+(f(x))^2)′=x2−16/x2(√x4+16) The derivative equals zero at one point x=2/ It is the minimum as the sign changes from - to +. So the point we are tryinf to find is x=2 y=2. So the distanse is sqrt(8).

The shortest distance [tex]x + y = 4[/tex] that is closest to the origin is [tex]\boxed{2\sqrt 2 {\text{ units}}}.[/tex]

Further explanation:

The formula for distance between the two points can be expressed as follows,

[tex]\boxed{{\text{Distance}} = \sqrt {{{\left( {{x_2} - {x_1}} \right)}^2} + {{\left( {{y_2} - {y_1}} \right)}^2}} }[/tex]

Given:

The line is [tex]x + y = 4.[/tex]

Explanation:

The coordinate of the origin is [tex]\left( {0,0} \right).[/tex]

The first point is [tex]\left( {x,y} \right)[/tex] and the second point is [tex]\left( {0,0} \right).[/tex]

The distance between the two points can be calculated as follows,

[tex]\begin{aligned}{\text{Distance}}&= \sqrt {{{\left( {x - 0} \right)}^2} + {{\left( {y - 0} \right)}^2}}\\&= \sqrt {{x^2} + {{\left( {4 - x} \right)}^2}}\\&= \sqrt {{x^2} + {x^2} - 8x + 16}\\&= \sqrt {2{x^2} - 8x + 16}\\\end{aligned}[/tex]

Differentiate the above equation with respect to [tex]x[/tex].

Substitute the first derivative equal to zero.

[tex]\begin{aligned}\frac{d}{{dx}}\left( {{\text{Distance}}} \right) &= 0\\\frac{{\left( {2x - 4} \right)}}{{\sqrt {2{x^2} - 8x + 16} }} &= 0\\2x - 4 &= 0\\2x &= 4\\x&= 2\\\end{aligned}[/tex]

Substitute [tex]x = 2[/tex] in equation [tex]x + y = 4[/tex] to obtain the value of [tex]y[/tex].

[tex]\begin{aligned}2 + y &= 4\\y&= 4 - 2\\y&= 2\\\end{aligned}[/tex]

The point is [tex]\left( {2,2} \right).[/tex]

The shortest distance can be obtained as follows,

[tex]\begin{aligned}{\text{Distance}} &= \sqrt {{2^2} + {2^2}}\\&= \sqrt {4 + 4}\\&= 2\sqrt 2\\\end{aligned}[/tex]

The shortest distance [tex]x + y = 4[/tex] that is closest to the origin is [tex]\boxed{2\sqrt 2 {\text{ units}}}.[/tex]

Learn more:

Learn more about inverse of the functionhttps://brainly.com/question/1632445. Learn more about equation of circle brainly.com/question/1506955. Learn more about range and domain of the function https://brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Application of derivatives

Keywords: Derivative, shortest distance, curve, origin, attains, maximum, value of x, function, differentiate, minimum value, closest point, line, y+x = 4.

How much would $500 invested at 6% invested compounded monthly be worth after 5 year? Round your answer to the nearest cent.

Answers

500(1+0.06/12)^60=???????

Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a 15% alcohol solution. The equation 0.10x + 0.15(50 – x) = 0.12(50) can be used to find the amount of 10% alcohol solution Bruce should use. How much of the 10% alcohol solution should Bruce use? mL How much of the 15% alcohol solution should Bruce use?

Answers

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
We need 50 ml of a 12% alcohol solution.
We have 10% and 15% alcohol solutions and we want 50 ml at 12%
We set up 2 equations (x is volume of 10% y is volume of 15%)

a) x + y = 50
b) .1x + .15y = 6.0 (which is 50 ml at 12% or .12 * 50)

multiplying equation "a" by -.1 then add it to "b"
a) -.1x -.1y = -5
b) .1x +.15y = 6.0

.05y = 1
y = 20 ml of 15% and therefore x would equal 30 ml of 10%

Answer:

0.10x + 0.15(50 – x) = 0.12(50)


Step-by-step explanation:


A rectangle is inscribed in the upper half of the circle x2 y2 = a2 as shown at right. calculate the area of the largest such rectangle.

Answers

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
Below is the solution, i hope it helps:
A = 2 x (a^2+x^2)^.5 
dA/dx = 2 x (2x)(.5)(a^2+x^2)^-.5) + 2 (a^2+x^2)^.5 

= 0 for max or min

200x50 mathematics problem

Answers

200*50=10,000.
2*5=10
20*50=1000
200*50=10000

Answer:

10,000

Step-by-step explanation:

2 x 5= 10 then add 3 more zeros

Three largest earthquakes ever recorded took place in chile, russia, and alaska. they measured 9 1/10, 9.5, & 9 1/5 on the richter scale. the largest earthquake was in chile. the earthquake in russia was smaller than the one alaska. what did the three earthquakes measure on the richter scale

Answers

9 1/10 = ((9 X 10)+1)10 = 9.1 ; 9.5 ; 9 1/5 = (( 9 x 5 ) +1)/10 = 9.2
The earthquake in chile measured the  largest number on the richter scale: 9.5
The earthquake in russia is the smallest and measured on the richter scale : 9.1
The earthquake in alaska measured greater than the one in russia on the richter scale : 9.2


HOPE THIS HELPED 

Final answer:

The largest earthquakes recorded in Chile, Russia, and Alaska measured 9.5, 9.1, and 9.2 on the Richter scale respectively, with Chile's earthquake being the largest and Russia's the smallest.

Explanation:

The three largest earthquakes ever recorded took place in Chile, Russia, and Alaska. Based on the information provided, the earthquake in Chile was the largest, measuring 9.5 on the Richter scale. The earthquake in Alaska, being larger than the one in Russia but not as large as the one in Chile, would measure 9 1/5, or 9.2, on the Richter scale. Lastly, the earthquake in Russia was the smallest of the three, measuring 9 1/10, or 9.1, on the Richter scale.

These seismic events, marked by their enormity on the Richter scale, underscore the geological dynamics in different regions of the world. The specific magnitudes assigned to each earthquake provide a quantitative measure of their intensity, offering valuable insights for understanding and preparing for such natural phenomena.

What is 8.5 divided by 520?

Answers

0.01634615
hope this helps. :)

The equation y=ax describes the graph of a line. If the value of A is megative the line:
a) goes down and to the left
b) goes up and to the left
c) is vertical
d) is horizontal

Answers

go up and to the left
C. It goes up and to the left as y keeps increasing in a positive sense as x keep getting more negative. (and it also goes down and to the right because y keeps decreasing as x increases) and Because, the function will have a negative slope y = -x

Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.)
2 sin^2 θ − sin θ − 1 = 0 ...?

Answers

Answer: 30°, 300° and 330°

Step-by-step explanation:

This is a quadratic equation in trigonometry format.

Given 2 sin^2 θ − sin θ − 1 = 0

Let a constant 'k' = sin θ...(1)

The equation becomes

2k²-k-1 =0

Factorizing the equation completely we have,

(2k²-2k)+(k-1) = 0

2k(k-1)+1(k-1)=0

(2k+1)(k-1)=0

2k+1=0 and k-1=0

2k = -1 and k=1

k=-1/2 and 1

Substituting the value of k into equation 1 to get θ

sin θ = 1

θ = arcsin1

θ = 90°

Similarly

sin θ = -1/2

θ = arcsin-1/2

θ = -30°

This angle is negative and falls in the 3rd and 4th quadrant

In the third quadrant, θ = 270 +30 = 300° and

in the 4th quadrant, θ = 360 - 30° = 330°

Therefore the values of θ are 30°, 300° and 330°

I hope you find this helpful?

Final answer:

The trigonometric equation is transformed into a quadratic equation by substituting sin θ with x. Then, the quadratic formula is applied to find x, which is then used to find the solutions for θ in radians, considering the periodic nature of the sine function. The solutions are then verified.

Explanation:

To solve the trigonometric equation 2 sin^2 θ − sin θ − 1 = 0, treat it as a quadratic equation by setting x = sin θ. The reformed equation is 2x^2 - x - 1 = 0. Now, factor this equation or use the quadratic formula to find the values of x, and subsequently the values of θ.

Using the quadratic formula:

x = [-(-1) ± √((-1)^2 - 4(2)(-1))]/(2*2)x = (1 ± √(1 + 8))/4x = (1 ± √9)/4x = (1 ± 3)/4

Therefore, the solutions for x are:

x = 1x = -0.5

Convert these back into solutions for θ by finding θ such that sin θ = x. Use units of radians for angles and remember to consider the periodic nature of the sine function.

Answer:

For x = 1: θ = ½π + 2πkFor x = -0.5: θ = −⅓π + 2πk or θ = −&frac43;π + 2πk, for all integers k.

Check if the answers are reasonable by substituting back into the original equation and verifying that they produce true statements.

triangle ABC has vertices A (0,10) B (4,10) and C (-2,4) find the orthocenter of triangle ABC

Answers

(-2, 12) is the orthocenter of triangle ABC

Answer:

Hence the orthocenter is (-2,12)

Step-by-step explanation:

We need to find the Orthocenter of ΔABC with vertices A(0,10) , B(4,10) and C(-2,4).

" Orthocenter of a triangle is a point of intersection, where three altitudes of a triangle connect ".

Step 1 :  Find the perpendicular slopes of any two sides of the triangle.  

Step 2 : Then by using point slope form, calculate the equation for those two altitudes with their respective coordinates.

Step 1 :  Given coordinates are: A(0,10) , B(4,10) and C(-2,4)

Slope of BC = [tex]\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}= \dfrac{4-10}{-2-4}=\dfrac{-6}{-6}=1[/tex]

Perpendicular Slope of BC = -1

( since for two perpendicular lines the slope is given as: [tex]m_{1}\times m_{2}=-1[/tex]

where  [tex]m_{1},m_{2}[/tex] are the slope of the two lines. )

Slope of AC = [tex]\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{4-10}{-2-0}=\dfrac{-6}{-2}=3[/tex]

Perpendicular Slope of AC= [tex]\dfrac{-1}{3}[/tex]

Step 2 :  Equation of AD, slope(m) = -1 and point A = (0,10)


[tex]y - y_{1} = m\times (x-x_{1})[/tex]

[tex]y - 10 = -1(x - 0)\\y - 10 = -x \\x + y = 10---------------(1)[/tex]

Equation of BE, slope(m) =\dfrac{-1}{3} and point B = (4,10)


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

[tex]y - 10= \dfrac{-1}{3} \times (x - 4)[/tex]


[tex]3y-30=-x+4[/tex]

[tex]x+3y =34[/tex]----------(2)

Solving equations (1) and (2), we get

(x, y) = (-2,12)

Hence, the orthocenter is (-2,12).


Write unit rate for 1.98 for 6

Answers

This is a fraction equal to
1.98 miles ÷ 6 hours

We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 6

1.98 miles ÷ 6
6 hours ÷ 6
=
0.33 miles
1 hour
=
0.33 miles
hour
= 0.33 miles per hour. I did it in Miles and Hours

How do you write 317 in words?

Answers

Three hundred and seventeen.

Is a line is represented by a straight narrow segment with arrow signs at the end? ...?

Answers

Yes, as a line is a continuous object; it's infinite. A line segment is what you would use in a number line, per se.

Given the function f(x) = −2x + 8, find x if f(x) = 14 ...?

Answers

14 = - 2x + 8
2x = - 6
x = - 3
Solution:

14 = -2x +8
6 = -2x
3 = -x

x = -3

Which coordinate pair is in the solution set for y < 1 − 6x?

Answers

Final answer:

To find the coordinate pair in the solution set for y < 1 - 6x, substitute x and y values into the inequality and check if it is satisfied.

Explanation:

The question asks for a coordinate pair that is in the solution set for the inequality y < 1 - 6x. To find the solution set, we need to find the values of x and y that satisfy the inequality. Let's pick a few coordinate pairs and substitute the values into the inequality to see if they satisfy it.

For example, let's try the coordinate pair (1, 0). Substituting x = 1 and y = 0 into the inequality, we get 0 < 1 - 6(1), which simplifies to 0 < 1 - 6, and further simplifies to 0 < -5. Since this statement is false, the coordinate pair (1, 0) is not in the solution set.

Similarly, we can try other coordinate pairs and substitute the values into the inequality to check if they satisfy it. The coordinate pair that satisfies the inequality will be in the solution set.

What is the value of y in terms of x in the following equation? x - 8y = 1/4

Answers

x - 8y = 1/4
-8y = -x + 1/4
y = 1/8x - 1/32
x-8y = 1/4
8y = x-1/4
y = x-1/4 /8
y = x/8 - 1/32

Which expression has a value of 23?

A.
7 – (–16)

B.
–3 – 20

C.
10 – 13

D.
–18 – (–5)

Answers

A! 7 - (-16) becomes 7 + 16 = 23

the quantities s and t are positive and are related by the equation s=k/t, where k is a constant. if the value of S increased by 50 percent, then the value of T decreases by what percent??? ...?

Answers

well if you solve for t t = k/s Increasing by 50% is equivalent to multiplying by 1.5 t = k/(1.5s) 1/1.5 = 0.667 t = 0.667(k/s) t decreased by 33.3%

Which of the following tables shows the correct steps to transform x^2 + 10x + 24 = 0 into the form (x - p)^2 = q? [p and q are integers]

Answers

Answer: D

Step-by-step explanation:

The correct transformation of the equation is achieved by completing the square to obtain the form (x + 5)^2 = 1, which gives the values of p = -5 and q = 1.

The transformation of the quadratic equation x^2 + 10x + 24 = 0 into the form (x - p)^2 = q involves completing the square. To complete the square, one must find a number that, when added to x^2 + 10x, completes a perfect square trinomial. This number is calculated by taking half of the x-coefficient (b/2), squaring it, and adding it to both sides of the equation. In this case, (10/2)^2 = 25. We then have x^2 + 10x + 25 on the left and 25 - 24 on the right, which simplifies to (x + 5)^2 = 1. The values of p and q are thus -5 and 1, respectively.

Is 4√5 rational or irrational

Answers

It would be irrational considering its a square root.

Hi there!

4√5 is irrational because it is a square root number. Any square root number is irrational.

Hope this helps!

What conversion factor can be used to convert the number of blocks to the weight of the blocks, in pounds?

Answers

let n represent number of blocks

let m represent weight of 1 block but in pounds because we want to express our total weight in pounds.

if n is number of blocks and m mass of one block, mass of n blocks would be
n*m

that means that conversion factor is m ---> weight of 1 block in pounds

The correct answer is:


The conversion factor would be the number of blocks multiplied by the weight of 1 block.


Explanation:


Consider the following example:

Suppose 1 block weighs 3 pounds. If there are 15 blocks, to find the total weight of the blocks, we multiply 3 by 15: 3(15) = 45. This means the total weight would be 45 pounds.


For any given number of blocks and any given weight of 1 block, to find the total weight of the blocks we would multiply the number of blocks by the weight of 1 block.

The ratio of peaches to plums is 3:8. If there are 99 fruits how many plums are there?

Answers

3+8=11
11 units
99=11 units
divide by 11 both sides
9=1 unit

plums=8 units
8*9=72
72 plums

8.find the result when 40 is INCREASED by 85%
10.find the result when 350 is DECREASED by 10%
28.find the result when 24 is INCREASED by 75%
30.find the result when 30 is DECREASED by 85%

Answers

Q8. The answer is 74.

Let 40 be 100%.

Step 1. Calculate 85% of 40.
If 40 is 100%, how much will be 85%:
40 : 100% = x : 85%
x * 100% = 40 * 85%
x = 40 * 85% / 100% = 34

Step 2: Add given value to 40 (since it is increased):
40 + 34 = 74



Q10. The answer is 315.

Let 350 be 100%.

Step 1. Calculate 10% of 350.
If 350 is 100%, how much will be 10%:
350 : 100% = x : 10%
x * 100% = 350 * 10%
x = 350 * 10% / 100% = 35

Step 2: Distract given value from 350 (since it is decreased):
350 - 35 = 315



Q28. The answer is 42.

Let 24 be 100%.

Step 1. Calculate 75% of 24.
If 24 is 100%, how much will be 75%:
24 : 100% = x : 75%
x * 100% = 24 * 75%
x = 24 * 75% / 100% = 18

Step 2: Add given value to 24 (since it is increased):
24 + 18 = 42



Q10. The answer is 4.5.

Let 30 be 100%.

Step 1. Calculate 85% of 30.
If 30 is 100%, how much will be 85%:
30 : 100% = x : 85%
x * 100% = 30 * 85%
x = 30 * 85% / 100% = 25.5

Step 2: Distract given value from 30 (since it is decreased):
30 - 25.5 = 4.5

What are 3 numbers that round to 54.5 when rounded to nearest tenth

Answers

54.49, 54.48, 54.47.

If the number after the tenth is 5 or above, that number changes to 0 and disappears, and it makes the tenth one bigger number.

Final answer:

Three numbers that round to 54.5 when rounded to the nearest tenth are 54.45, 54.55, and 54.55.

Explanation:

When rounding to the nearest tenth, we look at the digit in the hundredths place. If the digit is 5 or greater, we round up. If the digit is less than 5, we round down. In this case, we want to find three numbers that round to 54.5 when rounded to the nearest tenth. One possible set of numbers is 54.45, 54.55, and 54.55. When rounded to the nearest tenth, all of these numbers round to 54.5.

Multivariable: Assume there is an opaque ball of radius 1 centered at the origin.
Suppose that you stand at the point (2,3,0) and look in the direction of a point that is not visible because it is behind the ball. You will then be looking at a point on the sphere.

Find the point on the sphere at which you look if you are looking in the direction of (−2,−3,2).

Answers

Final answer:

To find the point on the sphere at which you are looking in the direction of (-2, -3, 2), we need to find the intersection of the line passing through (2, 3, 0) and the direction (-2, -3, 2) with the sphere of radius 1 centered at the origin. By substituting the parametric equations of the line into the equation of the sphere and solving for t, we can find the two points on the sphere where you will be looking.

Explanation:

To find the point on the sphere at which you look when you are looking in the direction of (-2, -3, 2), we need to find the intersection of the line passing through (2, 3, 0) and the direction (-2, -3, 2) with the sphere of radius 1 centered at the origin.

The equation of the line passing through (2, 3, 0) and in the direction (-2, -3, 2) can be expressed as:

x = 2 - 2t

y = 3 - 3t

z = 2t

Substitute these equations into the equation of the sphere, we get:

(2 - 2t)2 + (3 - 3t)2 + (2t)2 = 1

Simplifying the equation:

17t2 - 14t + 2 = 0

Using the quadratic formula:

t = (-b ± √(b2 - 4ac))/(2a)

Substituting the values, we get two possible values of t: t ≈ 0.23 and t ≈ 0.1.

Substituting these values back into the parametric equations of the line:

For t ≈ 0.23:

x ≈ 1.54

y ≈ 1.31

z ≈ 0.46

For t ≈ 0.1:

x ≈ 1.8

y ≈ 2.1

z ≈ 0.2

So, the points on the sphere at which you look when you are looking in the direction of (-2, -3, 2) are approximately (1.54, 1.31, 0.46) and (1.8, 2.1, 0.2).

Learn more about Coordinate Geometry here:

https://brainly.com/question/11015532

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Casey is making a flower arrangement with roses(r) and carnations(c). The cost of each rose is $0.50 and the cost of each carnation is $0.10. The arrangement has a total of 80 flowers and the flower cost was $20. How many of each flower did Casey put in her arrangement?

Answers

Boys and girls, we love to teach. The students love it. Teaches a student is to be grateful (pleasing). We love to teach the disciples of the history of the Roman letter ("by means of Literature", abl. Of means). In the game a lot (many) are students. * * To mature to learn the use of Latin in the disciples

Enzo begins playing video games at 7:10. he logs off at 7:25.

Answers

what 's the question?
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