The formula sa
SA
6 gives the length of the side, s, of a cube with a surface area, SA. How much longer is the side
of a cube with a surface area of 180 square meters than a cube with the surface area of 120 square meters?
o
30-45 m
O V30-2V5
o 10 m
215 m

The Formula SaSA6 Gives The Length Of The Side, S, Of A Cube With A Surface Area, SA. How Much Longer

Answers

Answer 1

Answer:

The correct option is (b).

Step-by-step explanation:

The formula for the side of a cube of surface area SA is as follows :

[tex]s=\sqrt{\dfrac{SA}{6}}[/tex]

When SA = 180 m²

[tex]s=\sqrt{\dfrac{180}{6}}\\\\s=\sqrt{30}[/tex]

When SA = 120 m²

[tex]s=\sqrt{\dfrac{120}{6}}\\\\s=\sqrt{20}\\\\=2\sqrt5[/tex]

Difference,

[tex]=30-2\sqrt5[/tex]

So, the correct option is (b).


Related Questions

Question 1 of 5
Which data set has a variation, or mean absolute deviation, similar to the data
set in the given dot plot?

Answers

Answer:

It is A because it is pretty similar to the data set in the given dot plot.

Victor also saw a jacket he liked while he was shopping. The jacket has a price tag of $75.00 and was marked for 30% off. How much money will the jacket cost after the sale?

Answers

Respuesta:

$ 52.5

Explicación paso a paso:

Dado

Costo de la chaqueta = $ 75

Mark off = 30%

Descuento = 30% de $ 75

Precio de descuento = 0,3 * 75

Precio de descuento = $ 22.5

Costo después de la venta = $ 75 - $ 22.5

Costo después de la venta = $ 52.5

Por lo tanto, el costo después de la venta es de $ 52.5

Kendra bought a gallon of milk and StartFraction 5 over 6 EndFraction of a pound of oranges. If the gallon of milk cost $3.60 and she spent a total of $4.35, which equation can be used to determine x, the cost of a pound of oranges?
3.60 + StartFraction 5 over 6 EndFraction x = 4.35
4.35 + StartFraction 5 over 6 EndFraction x = 3.60
3.60 x + StartFraction 5 over 6 EndFraction = 4.35
4.35 x + StartFraction 5 over 6 EndFraction = 3.60

Answers

Answer:

A. 3.60+5/6x=4.35  

Step-by-step explanation:

Total cost = milk + price per pound of oranges* number of pounds  

We know the total cost = 4.35 and the cost of the milk = 3.60  and the number of pounds of oranges = 5/6  

4.35 = 3.6 +5/6 * x

Answer:

a

Step-by-step explanation:

On Monday the temperature was 12°C. On Tuesday it decreased by 12°C. Which expression can be used to represent this situation?​

Answers

334 uuu rrr try juice iijyt you

if (P-3) is the largest of for odd number then the smallest is
A p-11
B p-9
C. p+3
D. p+5

Answers

ensalada no son vulgares

It is given the quadratic equation (q + 1 )x² - 8x + p = 0,where p and q are constants,has two equal real roots.Express p in terms of q.
Do help meeee!!!
i'll mark u as the brainliest!​

Answers

Answer:

p = [tex]\frac{16}{q+1}[/tex]

Step-by-step explanation:

Since there are 2 equal roots then the value of the discriminant is zero, that is

b² - 4ac = 0

Given

(q + 1)x² - 8x + p = 0 ← in standard form

with a = q + 1, b = - 8, c = p , then

(- 8)² - 4p(q + 1) = 0

64 - 4p(q + 1) = 0 ( subtract 64 from both sides )

- 4p(q + 1) = - 64 ( divide both sides by - 4 )

p(q + 1) = 16 ( divide both sides by q + 1 )

p = [tex]\frac{16}{q+1}[/tex]

The curve has two equal roots meaning it’s a tangent that meets the curve at only one point. Therefore, the determinant will be equal to 0.

a = (q + 1)
b = -8
c = p

if point (4,5) is on the graph of a function, which equation must be true?

Answers

the answer is f(4)=5

Please help me. I am so confused right now and I need to turn this in asap.

Answers

Answer:

sorry only doing the ones im sure of

a)

FBC is half the circle, so the angle would = 180.

180 - 135 = 45, so thats the angle between BC

its a vertical angle, so it would be the same on the other side, between FE

the only angle left is betweeen DC, so add them all up and minus by 360

360 - 306 = 54

b)

a triangle's angles add up to 180, so

49 + 70 = 119

180 - 119 = 61

since this is an inscribed angle that isnt connected to the center, the arc will be double the angle

so ? = 122

d)

5(8) = 40

40/4 = 10

x = 10

f)

the rest of the circle is 243 bc 360-117=243

243 - 177 = 126

126/2 = 63

she does 3 sets of 8 pushups 7 days a week, how many pushups does she do in one week

Answers

Answer:

24 push ups

3 x 8 = 24

ksjsjsowjsnsoajjsodhew

Please help...redoing past papers so I need to cross-check with someone to see if they are correct

Answers

Answer:

4 < k < 12

Step-by-step explanation:

The given function is y = 2·x² + k·x + 2·k - 6

Where the curve lies above the x-axis for all values of x, the function does not have a root and the discriminant, Δ, is negative, to give complex roots

∴ The discriminant Δ = k² - 4·2·(2·k - 6) < 0

k² - 4·2·(2·k - 6) = k² - 16·k + 48 < 0

(k - 12)·(k - 4) < 0

∴ k < 12 or k > 4 given that by substitution, we have;

When k = 3  < 4

k² - 16·k + 48 =  3² - 16×3 + 48 = 9 > 0

Also the product of two negative numbers is larger than 0

Therefore, the set of values of k for which the curve lies above the x-axis for all values of x is 4 < k < 12

12
Peter was thinking of a number. Peter halves the number and gets an answer of 25.5. Form an
equation with x from the information,

Answers

Answer:

[tex]\dfrac{x}{2}=25.5[/tex]

Step-by-step explanation:

Let the number be x.

Peter halves the number and gets an answer of 25.5.

It means,

Half of x equals 25.5. So,

[tex]\dfrac{1}{2}x=25.5[/tex]

or

[tex]\dfrac{x}{2}=25.5[/tex]

Hence, the required equation is [tex]\dfrac{x}{2}=25.5[/tex].

Quadrilateral qrst is a square what is pst

Answers

if QRST is indeed a quadrilateral, then, Check the picture below.

Pls Solve

2/5 × (-3/7) - 1/6 × 3/2 +1/14 × 2/5


Answers

Answer:

-11/28

Step-by-step explanation:

Following BODMAS:

(2/5 * -3/7) - (1/6 * 3/2) + (1/14 * 2/5)

= (-6/35) - (1/4) + (1/35)

= 1/35 - 6/35 - 1/4

= -5/35 -1/4

= -55/140

= -11/28

The graph shows the function f(x) = 2*.
What is the value of x when f(x) = 8?
a ) 0
b) 3
c) 1
d) 2

Answers

Answer:

3

Step-by-step explanation:

you can see this on the graph; just find 8 on the y axis and look for the value of x that corresponds to it

Pls help with step by step :)

Answers

Answer:

Step-by-step explanation:

Hope this helps u !!

Using the equality of surds theorem, solve this question
In the question solve for a and b

Answers

Step-by-step explanation:

76.72135955 is the answer I think So if the answer is correct then plz mark me as brainliest

Which ordered pairs make both inequalities true? Select two options. y < 5x + 2 y > One-halfx + 1 On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (negative 2, 0) and (0, 1). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 3) and (0, 2). Everything to the right of the line is shaded. (–1, 3) (0, 2) (1, 2) (2, –1) (2, 2)

Answers

Answer:

(1, 2)

(2,2)

Step-by-step explanation:

The inequality Given :

y < 5x + 2

y ≥ One-halfx + 1

We can use the values in the options to see which satisfies the inequality :

(-1, 3) ; X = - 1, y = 3

3 < 5(-1) + 2 ; 3 < - 4 (not true)

(0, 2) ; X = 0 ; y = 2

2 < 5(0) + 2 ; 2 < 2 (nor true)

2 > 1/2(0) + 1

2 > 1 (true)

Using (1, 2).; x = 1 ; y = 2

2 < 5(1) + 2 ; 2 < 7 (true)

2 > 1/2(1) + 1 ; 2 > 1.5 (true)

Using (2, 2)

y < 5x + 2

2 < 10 + 2 ; 2 < 12 (true)

y > 1/2x + 1

2 > 1/2(2) + 1 ; 2

In the matrix below, what is the value of f32?
2
21
9
1
0
5
T-
16
8
4
0
32
7

Answers

Answer:

ans: 8

Step-by-step explanation:

t3×2 mean see the term in 3rd row and second column,

The value of the f 32 in the given matrix is 8.

What is matrix?

A matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.

For example, is a matrix with two rows and three columns.

Given is a matrix of order 3x4, we need to find the object in f 32,

So, f 32

This means the entry in Row 3 Column 2

From the matrix we can see that f 32 = 8

Hence, the value of the f 32 in the given matrix is 8.

Learn more about matrix, click;

https://brainly.com/question/28180105

#SPJ7

t has a value of 5/2. p is the sum of t and v, and p has a value of 0. What is the value of v?

Answers

Answer:

Step-by-step explanation:

If p = t + v and t is 5/2 and p is 0, then

0 = 5/2 + v and

v = -5/2

What is the value of S4 for HURRY PLEASE !!!

Answers

Answer:

5 [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

The sum to n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a(1-r^{n}) }{1-r}[/tex]

where a is the first term and r the common ratio

The expression inside the summation is

4 [tex](\frac{1}{4}) ^{n-1}[/tex] ← the nth term of a geometric sequence

with a = 4 and r = [tex]\frac{1}{4}[/tex] , then

[tex]S_{4}[/tex] = [tex]\frac{4(1-(\frac{1}{4}) ^{3}) }{1-\frac{1}{4} }[/tex]

    = [tex]\frac{4(1-\frac{1}{64}) }{\frac{3}{4} }[/tex]

    = [tex]\frac{16}{3}[/tex] ( [tex]\frac{63}{64}[/tex] )

    = [tex]\frac{21}{4}[/tex]

    = 5 [tex]\frac{1}{4}[/tex]

How do you write 6.6 x 10-5 in standard form?

Answers

Answer:

.000066

Step-by-step explanation:

move decimal places five places to the left

Find the mean, median and mode(s) of the data.
4, 6, 5, 4, 4, 5, 4,8
Mean
Median
Mode

Answers

Answer:

mean = 5

median = 4.5

mode = 4

Step-by-step explanation:

Mean :

n = 8

sum of all items = 4+6+5+4+4+5+4+8

= 10+9+9+12

= 19+ 21

= 40

so,

mean = sum of all items/ n

= 40/8

= 5

mean = 5

Median:

ascending order: 4,4,4,4,5,5,6,8

n = 8

md = (n+1)/2 the term

= (8+1)/2 th term

= 9/2 th term

= 4.5 th term

= (4th + 5th) / 2

= (4+5)/2

= 9/2

= 4.5

median = 4.5

x. f.

4. 4

5. 2

6. 1

8. 1

here the highest frequency is 4 and 4 is corresponding to 4

so, mode = 4

HELP PLEASEEEEE!!!!!!

Answers

Answer:  29%

If that answer doesn't work, then try 29 without the percent sign.

============================================================

Explanation:

We know with absolute certainty that the person ordered a hot drink, due to the "given".

This means we only focus on the values in the first row.

There are 5+48+22 = 75 hot drinks ordered. Of that total, 22 hot drinks are large.

The probability of getting a large drink, given it was a hot beverage, is 22/75 = 0.2933 approximately.

This converts to 29.33% and that rounds to 29%

This is for Algebra 2 please someone help T^T

Answers

Answer:

-(a)^2 + a - 11

Step-by-step explanation:

N - T = -3(a)^2 + 2a - 5 - (-2(a)^2 + a + 6)

        = -3(a)^2 + 2a - 5 +2(a)^2 - a - 6

        = -3(a)^2 + 2(a)^2 + 2a - a - 6 -5

        = -(a)^2 + a - 11

Nishi invests £4700 at 6% interest per year. Work out how much she will have altogether after: 2 years- £ 5 years- £ 7 years- £ 10 years- £

Answers

Answer:

Step-by-step explanation:

To calculate the compound interest we want to multiply the amount of money (£4700) by the interest (6%) which would be the percentage multiplier!

To get the new amount we do:

Original amount × (percentage multiplier)ⁿ

The amount of years would be the indices.

For the first year:

£4700x1.06= £4982.

But we want to find out how much she will have altogether in different years.

So for two years:

£4700x1.03²= £5280.90 (rounded)

As you can see the amount of years will be the indices with the interest as our multiplier.

We do this again for 5 years and 10 years:

£4700x1.06⁵= £6289.70 (rounded)

£4700x1.06¹⁰=£8416.20 (rounded)

Hope this helps!

What is the solution to the system of equations?

One-fourth x minus one-half y = 8
One-half x + three-fourths y = negative 5
(–8, –12)
(–8, 12)
(8, 12)
(8, –12)

Answers

Answer:

(8 - 12 )

Step-by-step explanation:

Given

[tex]\frac{1}{4}[/tex] x - [tex]\frac{1}{2}[/tex] y = 8

[tex]\frac{1}{2}[/tex] x + [tex]\frac{3}{4}[/tex] y = - 5

Multiply both equations through by 4 to clear the fractions

x - 2y = 32 → (1)

2x + 3y = - 20 → (2)

Multiplying (1) by - 2 and adding to (2) will eliminate the x- term

- 2x + 4y = - 64 → (3)

Add (2) and (3) term by term to eliminate x

0 + 7y = - 84

7y = - 84 ( divide both sides by 7 )

y = - 12

Substitute y = - 12 into either of the 2 equations and solve for x

Substituting into (1)

x - 2(- 12) = 32

x + 24 = 32 ( subtract 24 from both sides )

x = 8

solution is (8, - 12 )

Answer:D:(8,-12)

Step-by-step explanation:took a test:D


I honestly am so confused right now , pleas help

Answers

Answer:

never really liked accounting, but...

The Assets seem to total $33000

and the Liabilities also seem to add to $33000

that seems to be what is supposed to happen in an accounting problem

Step-by-step explanation:

What method would I use? I am confused on how to solve it. [tex]9k^2+3=-20[/tex]

Answers

bring the -20 over to the left so that it’s

9k² + 3 + 20 = 0 [reverse the sign when you carry over]
9k² + 23 = 0 [add the 3 and 20]

solve as a quadratic eqn and you’ll get
k = 0-1.59861050777i
or
k = 0+1.59861050777i

since there’s an i in the answers, it means this equation has no solution (or in terms of graphs, does not intercept/touch the x-axis)

hope this helped!

The circumference of a circle is 19π in. What is the area, in square inches? Express your answer in terms of π.

Answers

Answer:

A = 90.25 pi in^2

Step-by-step explanation:

The circumference is given by

C = 2*pi*r

19pi = 2*pi*r

Divide each side by 2 pi

19pi / 2 pi = 2*pi*r/ 2pi

9.5 = r

The area is given by

A = pi r^2

A = pi ( 9.5)^2

A = 90.25 pi in^2

Answer:

The area of circle is 90.25 π inches².

Step-by-step explanation:

Given :-

Circumference of circle is 19 π in.

To Find :-

Area of circle

Solution :-

Firstly, we need to find radius of circle

Using formula

Circumference of circle = 2 π r

substitute the value

19 π inches = 2 π r

Divide each side by 2 π

19 π inches / 2 π = 2 π r / 2 π

9.5 inches = r

Now, Finding the area of circle

Using formula

Area of circle = π × r²

Where,

r, radius of circle = 9.5 inches

Substitute the values

Area of circle = π × ( 9.5 inches)²

Evaluate the exponent

Area of circle = π × 90.25 inches ²

multiply ,we get

Area of circle = 90.25 inches²

Hence, the area of circle is 90.25 π inches².

find the area of a circle . diameter =30cm . suction

Answers

Area of Circle = pi * r* r

Diameter = 2* r

Radius = 30/2 = 15 cm

pi = 3.14

Area of circle = 3.14 * 15 *15 = 707.14 cm ^2

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