A cube has a lateral area of 676 square feet. what is the side length of the cube? 4.3 feet 6.5 feet 10.6 feet 13 feet

Answers

Answer 1

The side length of the cube is 13 feet.

We have given that

Lateral area of a cube = 676 square feet

We have to determine the side length of the cube

So here we use the formula of the lateral surface area of the cube.

What is the formula for Lateral surface area?

[tex]L=4side^2[/tex]

L=676,and side =a

[tex]676=4a^2[/tex]

divide both side by 4

[tex]\frac{676}{4}=a^2[/tex]

[tex]169=a^2[/tex]

Taking square root on both side of equation we will get

[tex]13=a[/tex]

Therefore, Side length of the cube is 13 feet.

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Answer 2

Answer:

13

Step-by-step explanation:


Related Questions

A researcher collated data on Americans’ leisure time activities. She found the mean number of hours spent watching television each weekday to be 2. 7 hours with a standard deviation of 0. 4 hours. Jonathan believes that his football team buddies watch less television than the average American. He gathered data from 15 football teammates and found the mean to be 2. 3. Which of the following shows the correct z-statistic for this situation? -3. 87 -0. 26 3. 23 5. 22.

Answers

The value of the z statistic for the considered data is given by: Option A: -3.87 approximately.

How to find the z score (z statistic) for the sample mean?

If we're given that:

Sample mean = [tex]\overline{x}[/tex] Sample size = n Population mean = [tex]\mu[/tex] Sample standard deviation = s

Then, we get:

[tex]z = \dfrac{\overline{x} - \mu}{s}[/tex]

If the sample standard deviation is not  given, then we can estimate it(in some cases) by:

[tex]s = \dfrac{\sigma}{\sqrt{n}}[/tex]

where [tex]\sigma[/tex]population standard deviation

For this case, we're specified that:

Sample mean = [tex]\overline{x}[/tex] = 2.3Sample size = n = 15Population mean = [tex]\mu[/tex]  = 2.7Population standard deviation = [tex]\sigma[/tex] = 0.4

Thus, the value of the z-statistic is evaluated as:

[tex]z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}} = \dfrac{2.3- 2.7}{0.4/\sqrt{15}} \approx -3.87[/tex]

Thus, the value of the z statistic for the considered data is given by: Option A: -3.87 approximately.

Learn more about z statistic here:

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Use the image below to find the missing side lengths.

Answers

Answer:

Step-by-step explanation:

A collector has 210 magazines and 300 books. She wants to maintain
this ratio in her collection but she needs to sell some of her items. If
she sells 21 magazines, how many total items should she sell from
her collection?

Answers

Answer:

51 total items

Step-by-step explanation:

210 Magazine : 300 Books

21 Magazine : 30 Books

If She wants to sell 21 magazines, she would have to sell  another 30 books in order to maintain the ratio.

21 + 30 = 51

HELP PLEASEE, ILL BRAINLIST!!

Answers

Answer:

(a) To find the missing angle, we would do inverse tan.

[tex]angle =tan^{-1}\frac{opp}{adj}[/tex]

[tex]angle = tan^{-1}\frac{17}{21}[/tex]

angle= 39.0 degrees or 0.7 radians

(b) To find the missing angle, we would do inverse sin.

[tex]angle= sin^{-1}\frac{opp}{hyp}[/tex]

[tex]angle= sin^{-1}\frac{12.7}{22.1}[/tex]

angle= 35.1 degrees or 0.6 radians

I WILL GIVE BRAINLEIST(I NEED THIS RIGHT OR I HAVE TO START OVER)

Answers

Answer:

It’s irrational hope this is correct

Step-by-step explanation:

Answer:

rational

Step-by-step explanation:

Convert both to decimals

[tex]\\ \rm\Rrightarrow x=0.147147\dots [/tex]

[tex]\\ \rm\Rrightarrow 1000x=147.147..[/tex]

Hence..

999x=147x=147/99

On similar way we can get second one

So if

p/q and r/s [tex]\in [/tex]Q

Then

pr/qs also rational

Write an expression for the cost per person if five friends share the cost of a dinner equally.

Answers

Answer:

Let c=cost of dinner, 5=the # of people, and P=the cost of person

P=C/5

b. P = (1000)/5

P = 200

Step-by-step explanation:

Turn the written information into a equation (exponential function):

Common ratio of 4; horizontal shift right 6

Answers

Step-by-step explanation:

common ratio is usually used for geometric sequences.

every term is created by multiplying the previous term by a certain constant factor (= common ratio).

this factor or common ratio is in our case 4.

such a sequence is a function f(x) for x being whole numbers.

a0 = 1

a1 = a0×4 = 1×4 = 4

a2 = a1×4 = 4×4 = 16

...

an = 4^n

as general function that is then

f(x) = 4^x

a horizontal shift right by 6 units means that now the functional value of x is the same as it was for (x-6) before the shift.

e.g. f_new(6) = f_old(0)

so, the function is

f(x) = 4^(x - 6) or (4^x)/4⁶

Can someone please help with this? I'll give brainliest. I don't understand this... or the explanation it gives... the page before was just teaching how to solve simple problems to put on graphs what's an asymptote?

Answers

Step-by-step explanation:

Hello!
I'd love to help you learn.
I see the formula attached is [tex]4*(\frac{1}{2})^{x} =-2^{x}-1\\[/tex]

This problem is explaining you to graph, since algebraically it's a little more harder to try and find the solution.

Since they're both equal to each other, we can assign a variable like y, so we can make them into two individual lines.

You can use your scientific calculator to graph lines like this, or otherwise there are online sources (Desmos helps alot!) which can graph two equations as so.

Now that we have the corresponding system of equations, we can graph both.

[tex]y=4*(\frac{1}{2})^x\\ y=-2^x-1[/tex]
Let's graph them on Desmos on the same plane. The answers are attached. Red is the first equation, blue is the second.

What determines the solutions of a system of equations?

-No solution: the two lines will never intersect/does not intersect ever, which means that there are no set point where it satisfies both equations.

-One solution: the two lines intersect once and only once, meaning that there is that one set point where the x and y values both satisfy both equations.

-Multiple solutions: the two lines will intersect each other multiple times, meaning there are multiple set points where the x and y values satisfy both equations. You usually will not have to worry about these problem sets.

-Infinite solutions: the two lines are both the same line, which means every x and y value will satisfy both equations.

Looking at the solution attached, we can see that there are no places where a system of equations intersect, therefore ruling it that they have no solution.

And to answer your last question, an asymptote is a imaginary line in which a equation can approach closely and closely, but will never touch that imaginary line. Think of a line at y=[tex]\frac{1}{x}[/tex]. When you graph it, you can see that the two lines never ever EVER intersect the y-axis, or x=0; giving that x=0 as a vertical asymptote.

2 2/3 - 1 1/2 - 4/5
what does it equal

Answers

Answer:

11/30

Step-by-step explanation:

Do you need an explanation?

(systems of equations word problem)

ms. arrington has been raising money to take her classroom to the zoo. she has raised $580. the zoo has allowed all the adults to enter the zoo at a flat rate of $75 for all. if each student ticket costs $8.50, what is the maximum number of students allowed to attend the field trip?

a 59 students
b 60 students
c 58. students
d 61 students

Answers

Answer:

C

Step-by-step explanation:

All you have to do is divide 580 by 8.50 to easily distribute the money to each student equally.

The charge of an atom is the sum of the charges of its protons, neutrons, and electrons.

• Each proton has a charge of e.
• Each neutron has a charge of 0.
Each electron has a charge of -e.

An atom consists of 6 protons, 10 neutrons, and 4 electrons.
How many electrons would need to be added to make the charge of the atom 0?

Answers

Answer:

2 electrons

Step-by-step explanation:

2 electrons is the answer

If u need explanation do mention in comments

Answer:

*2 electrons more*

Explanation:

In an atom the number of electron and protons must be same.

Otherwise, it will have charge and form ions.   [ ignore the neutrons ]

Here,

protons: 6electrons: 4

The electron and proton is unbalanced, In order to make them same.

2 more electrons need to be added to make total 6 electrons.

What is the area of this figure?

Answers

Answer:

38.5

Step-by-step explanation:

to find the area of the triangle, you can do 11 x 3 ÷ 2 = 16.5

then you find the area of the triangles: 3 x 3 = 9

and 3 × 11 = 33

then you add them all to find a total area of 38.5

Find the area of a triangle

Answers

Answer:

240 feet

Step-by-step explanation:

The formula for finding the area of a triangle is: [tex]\frac{1}{2}bh[/tex], where [tex]b[/tex] stands for the base and [tex]h[/tex] stands for the height.

In this case, 20 is our height, and 24 is our base. Let's plug that into the formula.

[tex]1/2(20)(24)\\1/2(480)\\240[/tex]

Therefore, the area of the triangle is 240 feet.

#LearnWithBrainly

please help me write quadratic equation given the roots and the leading coefficient

Answers

Answer:

Example Question: f(x) = 2x^2 + 2x - 1


If the leading coefficient is positive, the graph will be opening up (U) if the leading coefficient is negative, the graph will be opening down (n)


Roots are the x-intercepts that help find the axis of symmetry (add the two roots together and divide the result by 2 to get the axis of symmetry)


To find the vertex, simply imput the axis of symmetry into the given equation.


And that’s about it.

Step-by-step explanation:

I don’t know what you’re asking for??

if y=5x-3, find the value of y when x=0

Answers

Answer: [tex]Y=-3[/tex]

Step-by-step explanation:

[tex]Y=5x-3[/tex]

[tex]Y=5 * (x) -3[/tex]

Then replace x by 0

[tex]Y=5 * (0) -3[/tex] or [tex]Y= 5(0) -3[/tex]

[tex]Y=0 -3[/tex]

[tex]Y=-3[/tex]

your dog weighs 18 kilograms. the medication dosage is 1 milliliter per every 10 pounds. rounded to the nearest milliliter, how many milliliters of medication should you give your dog? 1 kilogram = 2.2 pounds
A) 2mL
B) 3mL
C) 4mL
D) 5mL

Answers

Answer:4mL

Step-by-step explanation: if you multiply 18 by 2.2 you would get 39.6, you would divide by 10 to get 3.96, then you would round to the nearest whole number so you’d get 4.

By using a change of units, we will see that the dog needs 4 mL of medication.

How many milliliters of medication should you give your dog?

Here we need to see how many pounds are in 18 kilograms, using the relation:

1kg = 2.2lb

We get:

18 kg = 18*(2.2lb) = 39.6 lb

Now, for each 10 lb, we add 1mL of medication, then we need to divide the mass of the dog by 10lb, we get:

M = (39.6 lb)/(10 lb) = 3.96

Rounding to the next whole number we get 4, so the dog needs 4 mL of medication.

If you want to learn more about changes of units:

https://brainly.com/question/9032119

#SPJ2

NEED HELP WITH NUMBER 4! GIVING BRAINLIEST AND 20 POINTS TO BEST ANSWER. GIVE MODELS IF U CAN! THANKS! YOU CAN DO IT! :D

Answers

Answer:

10/21

Step-by-step explanation:

5

7

+

2

3

=  

5 × 3

7 × 3

+

2 × 7

3 × 7

=  

15

21

+

14

21

=  

15 + 14

21

=  

29

21

=  

1 8

21

[tex]Hello[/tex] [tex]There![/tex]

Let's do this step-by-step explanantion!

[tex]\frac{5}7}[/tex] × [tex]\frac{2}{3}[/tex]

Apply the fraction rule:

[tex]\frac{5x2}{7 x 3}[/tex]

Multiply the numbers: [tex]5[/tex] × [tex]2=10[/tex]

[tex]=\frac{10}{7 x 3}[/tex]

Again, Multiply the numbers: [tex]7[/tex] × [tex]3=21[/tex]

[tex]=\frac{10}{21}[/tex]

Answer:

[tex]\frac{10}{21}[/tex]

Also, sorry. I wasn't able to give you a model.

Hopefully, this helps you!!

[tex]OwoSokka[/tex]

Which of the following represents 5 + 10? Mark all that apply.​

Answers

ANSWER: E, C
this is because 5 divided by 10 is a half, 5/10 and the simplified version is also 1/2
Answer:

C and E i think

Step by step explanation:

A is 15,8

B is 0,25

C is 0,5

D is 0,4

E is 0,5


help guys with this question

Answers

Answer:

slope: 2

points: (2, 4), (6, 12)

slope:

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

[tex]\rightarrow \sf \dfrac{12-4}{6-2}[/tex]

[tex]\rightarrow \sf \dfrac{8}{4}[/tex]

[tex]\rightarrow 2[/tex]

What is the product of 1.0 x 102 and 1.8 x 103 expressed in scientific notation?

Answers

Answer:

[tex]1.8 \text{ x } 10^5[/tex]

Step-by-step explanation:

Hello!

To multiply terms, we multiply the like terms.

Like terms:

Like terms are terms with the same degree or base. In this example, 1 and 1.8 are like terms by degree, and 10² and 10³ are like by base.

Multiply:

(1 x 10²)(1.8 x 10³)(1 x 1.8)(10² x 10³)   --> exponeent rule: a^b * a^c = a^(b+c)1.8 x 10^5

That's your solution! 1.8 x 10^5

Congruent vs. Similar Triangles
I really need an explanation on how to do this

Answers

Answer:

Cross multiply

Step-by-step explanation:

Which function is a quadratic function? u(x) = –x 3x2 – 8 v(x) = 2x2 8x3 9x y(x) = x2 3x5 4 z(x) = 7x2 2x3 – 3.

Answers

The function [tex]u(x)=-x+3x^{2} -8[/tex] is a quadratic function due to the highest exponent being 2.

Given functions are:

[tex]u(x)=-x+3x^{2} -8[/tex]

[tex]v(x)=2x^{2} +8x^3+9x[/tex]

[tex]y(x)=x^{2} +3x^5+4[/tex]

[tex]z(x) =7x^{2} +2x^3-3[/tex]

What is a quadratic function?

A function of the form [tex]f(x)=ax^{2} +bx+c[/tex] with [tex]a\neq 0[/tex] is called a quadratic function means the highest exponent of polynomial should be 2.

Let us check one by one.

[tex]u(x)=-x+3x^{2} -8[/tex]

Highest exponent =2

The function is also of form [tex]f(x)=ax^{2} +bx+c[/tex] so u(x) is a quadratic function.

The functions v(x), y(x), and z(x) are having highest exponents as 3,5, and 3 respectively so they are not quadratic functions.

Hence, the function [tex]u(x)=-x+3x^{2} -8[/tex] is a quadratic function due to the highest exponent being 2.

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A rectangular prism has a base area of 23 cm² and a height of 6 centimeters. What is the volume of the prism?


Enter your answer in the box.



cm³

Answers

Answer:

Answer is 138

Step-by-step explanation:

I took the test and it was 138

rohana wants to find the volume of a sphere that has a radius of 10 feet. which equation can she use to solve for this value in cubic feet ?

Answers

The equation that can be used to determine the volume of the sphere is 4/3π10³

What is the volume of the sphere?

A sphere is a three-dimensional object in which points from its center to its circumference is equidistant.

Volume of a sphere = 4/3πr³

Where:

π = pi = 22/7r = radius

To learn more about the volume of a sphere, please check: https://brainly.com/question/13705125

5. A box contains 4 white balls and 6 yellow balls. A ball is drawn at random from the box and is not replaced. What is the probability that both balls are white?
8/45
3/25
4/25
2/15

Answers

2/15
First Draw
There are 4 white balls and 6 yellow balls and 10 balls in total so a 4/10 chance to get a white ball
Second Draw
Now you are down one white ball so now it’s a 3/9 chance to get a white ball
Then you just multiply the probabilities together to get 2/15

Answer:

2/15

Step-by-step explanation:

Given:

A box contains 4 white balls and 6 yellow balls. A ball is drawn at random from the box and is not replaced. What is the probability that both balls are white?

8/45

3/25

4/25

2/15

Solve:

Knowing that total = 10 { 4 white balls and 6 yellow balls}

P(first white)=4/10=2/5 { 4 out of 10 balls are white}

P(second white)=3/9=1/3 { 3 out of 9 balls are white; Since no replaced}

P(both white)=2/5 × 1/3=2/15

Hence, Answer = 2/15

Lenvy~

hi anyone can help me :) i have no idea how to do it . pls help me thx​

Answers

Answer:  2-(-1) = 3

Explanation:

The first column is nothing but "2"s.

The second column has the sequence 2, 1, 0 from top to bottom. If the pattern keeps up, then the next value in the second column should be -1 since we're counting down by 1. Use a number line to see this.

So we have 2-(-1) = 2+1 = 3 or 2-(-1) = 3 as the next line. I think keeping it as 2-(-1) rather than 2+1 is beneficial so that the minus signs line up.

The result of 3 helps confirm that the final column of values (0,1,2) is incrementing by 1.

what is the least common denominator of 1/3 and 1/6 ​

Answers

Answer: 6. this is like 3rd grade math just multiply 1/3 and 1/6 to see

Answer:

1/2

Step-by-step explanation:

1/6/1/3=1/2or2

I the not understand the question properly

PLEASE HELP!! 100 POINTS
Consider this dilation.
(a) Is the image of the dilation a reduction or an enlargement of the original figure? Explain.
(b)What is the scale factor? Explain and show your work.

Answers

The red figure is the original and the green the dilation. We know this because the dilated points are marked with '.

Therefore, we can see that the dilation is a reduction of the original figure. The figure got smaller in size after the dilation.

To find the scale factor, we'll need to look at a few of the points before and after the dilation.

A = (-4, 4)

A' = (-2, 2)

C = (0, 4)

C' = (0, 2)

---The scale factor will be the same on all the points, which is why I have selected only 2 sets of points to look at.

Now, we can figure out the scale factor by thinking about how -4 got to -2, how 4 got to 2. In this case, it is simply dividing by 2. The scale factor must be in multiplication, so we cannot use division in reporting the scale factor, it must be a fraction.

2 / 4 = 1 / 2

The scale factor, therefore, is 1/2.

Hope this helps!

Answer:

a) A reduction.

b) 0.5 or 1/2

Step-by-step explanation:

a) The new points are indicated by the ' next to the letters. By observing the graph, we can see that new points have lessened, and therefore shrank the dialtion, so it is a reduction.

b) On each point, it is reducted by 0.5.

Point A went down from 4 to 2, which is half of 4.

Point B went down from -2 to -1, which is half of -2.

Point C went down from 4 to 2, which is half of 4.

Point D went down from 8 to 4, which is half of 8.

hope this helps!

What is the value of x? E Enter your answer in the box.​

Answers

Step-by-step explanation:

Right away i notice the 45° angle and the 90° angle in triangle RTQ, this means that the remaining angle must be 180-(90+45)=45°.

If it isn't obvious yet, triangle RTQ is a right isosceles triangle where RT=RQ=x.

Now looking at my other triangle RST

I know that RT=x, RS=23 and ST is unknown.

So i cannot apply my Pythagorean theorm.

HOWEVER i do notice 60 degree angle and the 90 degree angle, which means that the last angle must be 180-(90+60)=30° and this triangle (RST) must be a half equilateral triangle;,

Now i can use the relation which describes the relation between the hypotenuse(x) and the side opposite or facing the 60° angle (RS=23).

RS=x√3/2

2RS=x√3

2×23=x√3

43=x√3

43/3=x

x=4 :P

Philip is a football player who runs a pass route that takes a right angle bend as shown in the diagram below. Which do you think will have the greater magnitude; the average speed or the average velocity? explain why

Answers

Answer:

Average velocity

Step-by-step explanation:

The average speed is only different from average velocity because it has direction.

The average speed will be calculated with the hypotenuse A_C, but average velocity will be calculated with the two directions AB_BC.

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If barking becomes a problem, most dogs can be trained to limit annoying yapping.Lastly, one of the best features of dogs is that they are great exercise partners. Dogs love to go on walks. Responsible pet owners understand that dogs need plenty of exercise. Daily walks can keep dogs happy and healthy. Of course, dog lovers benefit from this fitness plan, too. Having an energetic partner is great motivation to get off the couch and get moving.1) Which conclusion is BEST supported by the information in the text?A) Simply stated, dogs are ideal pets. They are loving, fun, protective, and energetic companions. A pet is a big responsibility, but worth it.B) Dogs are difficult to care for. They can be costly, loud, and unruly. The best option for a pet is a quiet cat or a small hamster.C) Dogs make people feel safe by barking at intruders. 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For the most part Roman meals were simple, prepared by the mother of the house or a slave under her direction. Lower classes ate mostly bread, vegetables, fruits, cheese, and olives, and drank wine or water. Upper classes had a more varied diet, frequently including fresh meats and honey. Everyone either ate with their fingers or used a spoon. Most men went to work in the morning and sometime in the afternoon went to the baths. The baths were gathering places where people met and talked, played games, and of course bathed. Water was heated by a large fire under huge water tanks and pipes which ran beneath the baths. Women mainly worked at home or oversaw slaves who did the household work for them. Mothers taught their daughters to spin, weave, sew, and cook. A few girls also went to school, but mostly the boys were educated and then only if their families could afford to send them to school, which was not free. From around age. six or seven, students studied reading, writing, and counting. Later, at around the age of twelve, boys would either learn a trade or go to "grammar" schools where they went on to study Latiri, Greek, grammar, and literature. A few went beyond that to study public speaking to become orators. Slaves, one form of property, were common in the Roman Empire; the rich had many. In fact the number of slaves a person owned was a status symbol in Roman society. In addition to the usual labor, slaves worked in all manner of jobs: they served as hairdressers, footmen, messengers, accountants, tutors, secretaries, carpenters, plumbers, librarians, and goldsmiths. Some were even doctors, architects, and business managers. Although it was possible for slaves to buy or earn their freedom, few did. DIRECTIONS: Pretend you are an ancient Roman. 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