the total surface area of a cube is 384cm3 the length of the edge of the cube is?

Answers

Answer 1
Using the formula[tex]\: \:A = 6 {a}^{2} [/tex]

Solving for a

[tex]a = \sqrt{ \frac{A}{6} } \\ = \sqrt{ \frac{384}{6} } \\ = 8cm[/tex]

Related Questions

Use the special angles to evaluate: a) cosec 60° cot 30° + cos 45º cosec 45° 2​

Answers

Answer:

the required answer is 4√2+1/2√2

Graph the circle defined by the equation (x + 7)2 + (y – 5)2 = 4.

Answers

the center is (-7,5) and the radius is 2

For each question circle the best choice.
Which of the following is an algebraic expression?
x + 5 = 7
5 - 2x = 3
5x + 4- 2x
-2 = 3x +1

Answers

5x+4-2x là biểu thức đại số

Evaluate f(x) when x = 3.

Answers

Answer:

56

Step-by-step explanation:

Since 3 is between -6 and 9 we use the first definition

f(3) = 6 x^2 +2

     = 6(3)^2+2

    = 6(9) +2

   = 54+2

    = 56

Question 11 of 25
If the point (1, 4) is on the graph of an equation, which statement
must be true?
A. There are solutions to the equation for the values x = 1 and
x = 4.
B. The values x = 1 and y = 4 are the only values that make the
equation true.
C. The values x = 4 and y= 1 make the equation true.
D. The values x = 1 and y = 4 make the equation true.
SUBMIT

Answers

Answer:

D

Step-by-step explanation:

simple : when we have a point defined as (1, 4), it means x = 1, y = 4.

and since the point is on the graph of a function/equation it means that when we use x = 1 and calculate the equation, we get 4 as result (= y). so yes, that means that both sides of the "=" sign are indeed equal for this pair of values, which makes the equation true.

but there will be usually many other pairs that do that too.

Demonstrate on the whiteboard how to find the center and radius of a circle using an equation.

Answers

Answer:

Step-by-step explanation:

Equation for a circle of radius r, centered at (h,k):

(x-h)² + (y-k)² = r²

While standing outside Carmen's Computer Store,Phyllis noticed that 14 people left the store and 10 people entered the store. Later, 5 more people entered and 13 people left.What was the net increase or decrease in the number of people in Carmen's Computer Store? A. An increase of 12 / B. decrease of 12 C. an increase of 42 / D . decrease of 42

Answers

Answer:

B. decrease of 12

Step-by-step explanation:

Number of people who left the store = 14

Number of people who entered the store = 10

Again,

Number of people who left the store = 13

Number of people who entered the store = 5

Total people who left the store = 14 + 13

= 27 people

Total people who entered the store = 10 + 5

= 15 people

Number of people remaining in the store = Total people who entered the store - Total people who left the store

= 15 - 27

= -12

This means there is a net decrease in the number of people in Carmen's Computer Store

How much should 5x³+3x²-2x+1 be increased to get 6x² +7​

Answers

Answer:

-5x³ + 3x³ + 2x + 6

Step-by-step explanation:

if that is truly the complete problem description, then the only possible answer I can think of, that makes any sense :

what do I need to add to 5x³+3x²-2x+1 to get 6x²+7 ?

the answer is

6x²+7 - (5x³+3x²-2x+1) = 6x²+7-5x³-3x²+2x-1 =

= -5x³ + 3x³ + 2x + 6

Ian has 300 counters in a bag. Paul
takes 42 of them. Derek takes 65 of
them. Anne takes 33 of them. What
fraction does Ian have left? Give your
answer in its simplest form.

Answers

42 + 65 + 33 = 140, so Ian has 160 counters left. 160/300 in its simplest form is 8/15

HELP ME PLS ITS PYTHAGOREAN THEOREM

Answers

Answer:

a= [tex]\sqrt{19}[/tex]

Step-by-step explanation:

Pythagorean Theorem: a^2+b^2=c^2

a^2+9^2=10^2

a^2+81=100

a^2=19

a=[tex]\sqrt{19}[/tex]

Answer:

b = 4.4 meters

The display provided from technology available below results from using data for a smartphone carrier's data speeds at airports to test the claim that they are from a population having a mean less than 6.00 Mbps. Conduct the hypothesis test using these results. Use a 0.05 significance level. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses?


T-Test


μ<4.00


t=-3.033077


p=0.002025


x=3.48


Sx=1.150075


n=45

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the T test output :

T-Test

μ<4.00

t=-3.033077

p=0.002025

x=3.48

Sx=1.150075

n=45

Given that population mean, μ = 6

Confidence level, α = 0.05

The hypothesis :

H0 : μ = 6.00

H1 : μ < 6.00

From the t test output given :

The test statistic :

T = -3.033077

T = - 3.03 (2 decimal places)

The Pvalue :

P = 0.002025

Pvalue = 0.002 (3 decimal places)

The conclusion :

Decision region ; Reject H0 : if Pvalue < α

Since ; Pvalue < α

Reject H0 ; There is sufficient evidence to support claim that sample is from a population with a mean less than 6.

When 3 liters of oil are removed from an upright cylindrical can, the level falls by 10cm. Find the radius of the can

Answers

Answer:

9.8 cm

Step-by-step explanation:

Volume of a cylinder can be gotten with this formula

V=πr2h

h = height of the oil.

We were told that 3 litres of oil was removed, then, there is a falling in the level of oil by 10 cm, hence the height of the oil is now

h° =( h) - (0.1)

Then the new volume can be calculated as

V°= V - (3×10^-3)

But

volume= (π r2h°)

Then substitute we have

πr2h - 0.003 = π r2 (h-0.1)

If we open the bracket we have

0.003 = (πr2 ×0.1)

πr2=0.003/0.1

Then r=√ (0.03/0.1π)

=9.8 cm

Note that 1L = 10-3 m3

For the given functions f and g , find the indicated composition. F(x) = -5x + 4, g(x) = 4x + 6 (g∘f)(x)

Answers

Answer:

(g∘f)(x) = -20x + 22

Step-by-step explanation:

(g∘f)(x) simply means g(f(x))

We are given;

f(x) = -5x + 4

g(x) = 4x + 6

Thus;

(g∘f)(x) = 4(-5x + 4) + 6

(g∘f)(x) = -20x + 16 + 6

(g∘f)(x) = -20x + 22

P(x) = x^4 – 2x^3 – 3x^2 + 4

What is the remainder when P(x) is divided by (x – 3)?​

Answers

Here is the answer using synthetic division method !

Answer:

4

Step-by-step explanation:

:)

Wendy went to the salon and had 2 1/6 inches of hair cut off. The next day she went back
and asked for another 2 1/6 inches to be cut off. How much hair did she have cut off in all?
Write your answer as a fraction or as a whole or mixed number.
inches.

Answers

Answer:

4 1/3 of her hair

Step-by-step explanation:

Just add 2 1/6 + 2 1/6 and there you go

There is the total amount of her hair she cut

A fish tank is in the shape of an open glass cuboid 30 cm deep with a base 16 cm by 17 cm, these measurements being external. If the glass is 0.5 cm thick and its mass is 3 g/cm3, find a the capacity of the tank in litres, and the mass of the tank in kg.​

Answers

Answer:

3.24 kg

Step-by-step explanation:

internal Vol = (30-0.5)(16-1)(17-1) = 7080 cm^3 = 7.08ltrs

external Vol= 30* 16* 17 = 8160cm^3 = 8.16ltrs

Vol of thickness = 8160 - 7080 = 1080cm^3

Mass of the tank= density * volume = 3*1080 = 3,240g = 3.24 kg

PLEASE ANSWER ASAP

Write an inequality and show on a number line all numbers: greater than (-3) but less than or equal to 3

Answers

Answer:

The inequality is -3<x<3

Step-by-step explanation:

(-3,3)

Can anyone help me with this question

Answers

Answer:

60

Step-by-step explanation:

A significant figure means the most important (biggest) number.

As it just wants 1 significant figure, you count 1 to the right and round the 6 up.

Hope this helps :)

The diagonals of a rhombus are perpendicular

Answers

Answer:

true

Step-by-step explanation:

GIVING BRAINLIEST TO CORRECT ANSWERS

Answers

Answer:

b is the correct answer

Step-by-step explanation:

Place parentheses in the following equation to make it true.
6+6/6x6-6= 0

Answers

Answer: (6+6/6)*(6-6)= 0

find the missing side. Round it to the nearest tenth.​

Answers

Answer: x = 74.3

Step-by-step explanation:

Let 22 be reference angle

so

tan 22 = p/b

tan 22 = 30/x

or, x= 30/tan22

so, x = 74.252

so, x = 74.3

Composition of Transformations - Item 4829
The red figure is the transformed image of the blue figure.
Tanya correctly identifies a sequence of two transformations that can move the blue
figure onto the red figure.
Kurt correctly identifies a single transformation that can be used.
Use the drop-down menus below to complete the statements describing the
transformations they used.

Answers

Answer:

Tanya is reflect y axis and then 90 degrees.  

Kurt is reflect over y=x

Have an amazing day! Hope This Helps :)

The pizza restaurant down the street wants to advertise on its marquee sign the number of ways you can order a $10 pizza. The restaurant offers 18 toppings and for $10 you can order up to 4 toppings, meaning you can either order 1, 2, 3, or 4 toppings and you can’t order any toppings twice. Use this information to answer the following questions:

a. Is this a permutation problem, a combination problem, or a problem using both elements?
b. Determine how many ways you can order a pizza from the restaurant. Explain what strategies you used.
c. If there were no restriction on the number of toppings you could choose, how would that change the answer?

Answers

Answer:

Step-by-step explanation:

For the function F defined by F(x)=x2−2x+4, find F(|−4|).
A. 8
B. 4
C. 12
D. 28

Answers

Answer:

12

Step-by-step explanation:

F(x)=x^2−2x+4

Let x = |-4| = 4

F(|-4|)=4^2−2(4)+4

     = 16 -8+4

    = 8+4

     = 12

The price of an item increased by 25 percent. if the price of the item after the increase is 2.00. What was the original price? (Show your work)

A. 1.50

B. 1.60

C. 1.75

D. 2.50

E. 3.20

Answers

Let the original price = x

From X to get the new price you multiply by 1 + the percent of the increase which is 25%

1,25X = 2.00

Divide both sides by 1.25:

X = 1.60

The original price was B. 1.60

Answer:

x=1.60

Step-by-step explanation:

Let x be the original price

We increase by 25%

x+ .25x = new price

1.25x = 200

Divide each side by 1.25

x = 2.00/1.25

x=1.60

Jeff and his friends win a prize.
Jeff's share is $160 which is ĭ of the prize.
Work out the value of the prize.

Answers

Answer:

Prize, P = $352

Step-by-step explanation:

Let Jeff's share be J.Let the value of the prize be P.

Given the following data;

J = $160J = 5P/11

To find the value of the prize;

[tex] \frac {5}{11} * P = 160 [/tex]

[tex] \frac {5P}{11} = 160 [/tex]

Cross-multiplying, we have;

[tex] 5P = 160 * 11 [/tex]

[tex] 5P = 1760 [/tex]

[tex] P = \frac {1760}{5} [/tex]

Prize, P = $352

Use the figure to classify the obtuse angle

Answers

Answer:

AOB

Step-by-step explanation:

An obtuse angle is larger than 90 and less than 180

COB = 90

AOB is larger than COB and less than 180

Pls what is the formula for finding the base and the height of a triangular pyramid.

Answers

Answer:

Take the Cubits and multiply

Step-by-step explanation:

This is a problem i had so just fill it in to your numbers etc.

A= 43.3 cubits squared

SA= the base of A +1/2 (p x slant h)

SA= 43.3 cubits squared + 1/2 (30 x 14 cubits)

To sum it up u can message me ur numbers and ill help

Give an example of when you would encounter different types of fractions in the
real world.

Answers

Step-by-step explanation:

when I had to share a bar of chocolate with 3 of my cousins....... the bar had a size of 18 cm and there were 3 of us so we divided it by 3 (18÷3) and ended up with 6, so 6cm/cousin..... ..

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