If the cube shown is 4 inches on all sides, what is the length of the diagonal, x, of the cube?

A) 3 square root 2 inches.
B) 3 square root 3 inches.
C) 3 square root 4 inches.
D) 4 square root 3 inches.

If The Cube Shown Is 4 Inches On All Sides, What Is The Length Of The Diagonal, X, Of The Cube? A) 3

Answers

Answer 1
The answer of your question is c
Answer 2

Answer:

Step-by-step explanation:

Correct answer:

3√3

Explanation:

General formula for the diagonal of a cube if each side of the cube = s

Use Pythagorean Theorem to get the diagonal across the base:

s2 + s2 = h2

And again use Pythagorean Theorem to get cube’s diagonal, then solve for d:

h2 + s2 = d2

s2 + s2 + s2 = d2

3 * s2 = d2

d = √ (3 * s2) = s √3

So, if s = 3 then the answer is 3√3


Related Questions


12. Carter has 3 statues of various sizes in his garden. Statue A is one foot taller than
Statue B. Statue C is one-half of a foot taller than Statue B.
13
Let x represent the height of Statue B. Write expressions to represent Statue A and
Statue C.
Statue A
Statue B
Х
Statue C
14 If the total combined height of the 3 statues is 34.5 inches, find the height of
Statue B.

Answers

Answer: B is 11 feet tall

A=x+1 since A is one more than B

C=x+1/2 since C is one half more than B

B=x since B is just B

A+B+C=34.5

x+1+x+x+1/2=34.5

3x+1.5=34.5

3x=33

x=11

B is 11 feet tall

Clara Clatter was born on December 27th, yet her birthday is always in the summer. How is this possible

Answers

Answer:

She lives in the Southern Hemisphere.

Step-by-step explanation:

Find an
angle in each quadrant with a common reference angle with 280°, from

Answers

Answer:

Step-by-step explanation:180

Answer:

80

Step-by-step explanation:

i don't know if it is right

722000
= ×10


its scientific notation help please

Answers

Answer:

7.22 x 10^5

Step-by-step explanation:

Remember that the decimal is always to the right of the ones place.

1. Move it one place to the left and multiply by 10 to compensate.

2. Move it two places to left and multiply by 10^2.

3. Move the decimal point three times and multiply 10^3 to compensate, and the pattern continues until you reach the very last digit, the 7.

4. Numbers after the 7 that are not zeros will be after the decimal point.

so, 7.22 x 10^5

Solve the proportion for v.
6
0]>
9 =
100
V
v = [?]

Answers

Answer:

v = 12

Step-by-step explanation:

[tex]\frac{9}{v}[/tex] = [tex]\frac{6}{8}[/tex] ( cross-  multiply )

6v = 8 × 9 = 72 ( divide both sides by 6 )

v = 12

Answer:

v=12

9/v =6/8 (cross - multiply)

6v = 8 x 9 = 72 (divide both sides by 6)

v = 12

Step-by-step explanation:

that's my answer

What is the answer of this question please reply!

0.00536 by 25​

Answers

Answer:

0.134

Step-by-step explanation:

"By" means multiplied by, so the question is, what's 0.00536 multiplied by 25?

In the first step, we multiply all the numbers in the decimal by 5, and we get 0.02680. In the second, we multiply all the numbers in the decimal by 20, and we get 0.10720. Then we add the two together and get 0.134.

I hope that helped :)

Which of the following is(are) the solution(s) to |11x +3 = 6 ?

Answers

Hey there!

11x + 3 = 6

SUBTRACT 3 to BOTH SIDES

11x + 3 - 3 = 6 - 3

CANCEL out: 3 - 3 because it gives you 0

KEEP: 6 - 3 because it helps you solve for your x-value

11x = 6 - 3

11x = 3

DIVIDE 11 to BOTH SIDES

11x/11 = 3/11

CANCEL out: 11/11 because that gives you 1

KEEP: 3/11 because it simplifies for the x-value

SOLVE

x = 3/11

Therefore, your answer should bed x = 3/11

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)


-6) -6x — 10y = 3
12х + 20 y = 0
Elimination or substitution?
Solve

Answers

Answer:

Elimination and y=4 x=6

Step-by-step explanation:

Work out the percentage change to 2 decimal places when a price of £189 is decreased to £150.

Answers

Answer:

20.63%

Step-by-step explanation:

189-20.63%=150,0093

Answer:

20.63%

Step-by-step explanation:

% change = (New Value - Initial Value)/(Initial Value) * 100

                 = (150-189)/189 * 100

                 = -20.63%

Though the value comes as negative but it only indicates that it is a percentage decrease. As the question mentioned that the value is decreased, the final answer would be only 20.63%.

Hopefully this helps!!

You are buying carpet to cover a room that measures 38 ft by 40 ft. The carpet
cost $18 per square yard. How much will the carpet cost?

Answers

Answer:

27360

Step-by-step explanation:

38x40=1520

1520*18=27360

what is the slope of y=-4?

Answers

Hello there!

The slope of this line is 0.

y=-4 is a horizontal line.

We find the slope using the formula Rise/Run.

The rise is 0, and no matter what the run is, the slope is 0 anyway.

Hope this helps!

~Just a cheerful teen

#CarryOnLearning

[tex]SilentNature[/tex]

The sale of cars in a particular month is decreased by 20% is $3060. What was the sale of cars before reduction.​

Answers

Answer:

$3672

Step-by-step explanation:

3060 x 20% = 612

612 + 3060 = 3672

I need help with my math homework :(

Answers

We plug in 14 for x when we set the two equations equal to each other to prove they are equal.

So true LM congruent to MN


Help Me in my Math Thanks :)​

Answers

Answer:

Step-by-step explanation:

Asked:  How many square tables are needed to place 100 pupils?

Given: Square table each has 4 pupils to sit

operation :  Multiplication, subtraction,  Division

Solve:

Number of pupils in 9 rectangular tables = 9*8 = 72 pupils

Remaining pupils = 100 - 72 = 28

Number of square table needed =28 ÷ 4 = 7

7 square tables are needed.

A sequence has a common ratio of Three-halves and f(5) = 81. Which explicit formula represents the sequence?

f(x) = 24(Three-halves) Superscript x minus 1
f(x) = 16(Three-halves) Superscript x minus 1
f(x) = 24(Three-halves) Superscript x
f(x) = 16(Three-halves) Superscript x

Answers

Answer:

f(x) = 16*(3/2)^(x-1)

Step-by-step explanation:

See attachment.

Answer:

B

Step-by-step explanation:

The average daily maximum temperature in Syracuse is 21.85°C, and the average daily minimum temperature is -4.7°C. The average daily maximum temperature is:
____ °C higher than the average daily minimum temperature.

Answers

Answer:

26.55°C

Step-by-step explanation:

21.85 - - 4.7

21.85 + 4.7

26.55

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

round 2,419 to the nearest hundred​

Answers

Answer:

2,400

Step-by-step explanation:

Can I please have brainliest?? thanks!! have an awesome day and good luck with your math :)

Answer:

2,400

Step-by-step explanation:

a canine's body temperature is considered to be normal if it is 101 degrees Fahrenheit with an absolute deviation of 1.5 degrees Fahrenheit.
A. write an absolute value inequality that represents the normal temperature range. B.solve the inequality. what is the normal temperature range?

Answers

Answer:

Please I don't understand the question or maybe I'm too young for the question I'm so sorry

l
A ball is projected upward from ground level. After (t) seconds, its height in feet is
given by the function “h(t) = -16(t)^2 + 112(t)” After how many seconds will the ball reach a height of 192 ft for the first time?

Answers

Answer:  3 seconds

Step-by-step explanation:

h(t) = -16(t)^2 + 112(t)

Set h(t) = 192 feet

192 = -16(t)^2 + 112(t)

0 = -16(t)^2 + 112(t) - 192

Solve using the quadratic formula:  There are two solutions, 3 and 4 seconds.  Three seconds is the first time it reachers 192 feet,  At four seonds it's on its way down.

The function can also be graphed (attached).

Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily. What is the first day's interest? Round to the nearest cent.

Answers

Answer:

The interest is $0.03

Step-by-step explanation:

($720*0.014)/365

The first day's interest will be $10.15 if Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily.

What is compound interest?

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

It is given that:

Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily.

P =$720

r = 1.4% = 0.014

n = 365

t = 1 day

[tex]\rm A = 720(1+\dfrac{0.014}{365})^{365\times1}[/tex]

After solving:

A = $730.15

The interest I = A - P

I = $730.15 - 720

I = $10.15

Thus, the first day's interest will be $10.15 if Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily.

Learn more about the compound interest here:

brainly.com/question/26457073

#SPJ2

If one-third of a number is 24 less than the thrice of the number, find the number.​

Answers

Answer:

9

Step-by-step explanation:

Let the number be 'x'

One third of a number : (1/3) *x

Thrice the number = 3x

[tex]3x -24=\dfrac{1}{3}x\\\\3x - \dfrac{1}{3}x = 24\\\\\\[/tex]

Multiply the entire equation by 3

9x - x =  72

8x = 72

Divide both sides by 8

x = 72/8

x = 9

Laura wants to place a flowerpot every 3/4 meters along the path from the gate to the main entrance of her home the path is 12 meters long how many flowerpots will she need

Answers

Answer:

16 pots

Step-by-step explanation:

Laura wants to place a pot every 3/4 (0.75)m

The length she wants to cover is 12m

So all we must do is divide

1) 12/0.75 (I converted the fraction to a decimal cause its easier)

2) 12/0.75 = 16

3) which means for each 3/4 there will be one pot so there is 16 pots in total

HELP ASAP!!!!!!!!! IM SO PUZZLED

Answers

Assuming all of the pizzas are the same size, table 2.

3:7 is the largest ratio.

Each child at table 1 gets 40% of a pizza. Each child at table 2 gets about 43% of a pizza. Each child at table 3 gets about 42% of a pizza.

hope this helps!

A(-5‚-8) B(2‚-3) And C(-2‚9) are the vertices of ∆ABC. find the coordinates of its image under the rotation through 180°
in anti-clock wise direction about origin? HELP Meeeee​

Answers

Answer:

see explanation

Step-by-step explanation:

Under a rotation about the origin of 180°

a point (x, y ) → (- x, - y ) , then

A (- 5, - 8 ) → A' (5, 8 )

B (2, - 3 ) → B' (- 2, 3 )

C (- 2, 9 ) → C' (2, - 9 )

A truck rental is $25 plus $.30/mi. Find out how many miles Ken traveled if his bill was $50.20.

Answers

Lets start by finding the equation.

25 is the constant, .3 is the slope, and 50.2 is the final.

This means that our equation is:

50.2 = .3x + 25

50.2 - 25 = .3x

25.2 = .3x

25.2 / .3 = x

84 = x

This means that Ken travelled 84 miles if his bill was $50.2.

I hope this helps! :)

What is the product of 0.15 x 0.32? *

Answers

Answer:

0.048

Step-by-step explanation:

Answer:

The answer to 0.15 x 0.32 is 0.048

Find the slope of the line that passes through point A (-2,0)and point B (0,10) using m=rise/run

Answers

Answer:

m = 5

Step-by-step explanation:

The x-coordinate of A is -2 and that of B is 0.  The increase in this coordinate from A to B is 2.  Similarly, the y-coordinate increases by 10.  The slope is therefore m = rise / run = 10/2, or m = 5

You counted 28 big dogs and 20 small dogs running around at the park.
What was the small dogs to big dogs ratio ?

Answers

Answer:

5:7

Step-by-step explanation:

Write a rule to describe each transformation.

- A
- B
- C
- D

Answers

Answer:

A, a dilation of 2

Step-by-step explanation:

The answer is, A dilation of 2 because the image is getting dilated to a  bigger form. If it was a decimal or a fraction; the image would be smaller and than the pre-image.

(Pre-image is a shape before a transformation, image is after a ransformation.)

Have a great day friend! :D

plz help will mark as brainliest​

Answers

10

Explanation:
10/2 = 5
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