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kirza4 [7]
3 years ago
11

The edge length of cube A is two times the edge length of cube B. How many times greater isthe volume of the cube A than the vol

ume of cube B?
Mathematics
1 answer:
allsm [11]3 years ago
4 0

Answer:

<h2>8 times greater</h2>

Step-by-step explanation:

The formula of a volume of a cube:

V=a^3

a - edge length

-----------------------------------

The edge length of cube B is a.

The edge length of cube A is 2a.

Calculate the volumes:

V_A=(2a)^3=2^3a^3=8a^3\\\\V_B=a^3

How many times greater is the volume of the cube A than the volume of cube B?

Make the quotient:

\dfrac{V_A}{V_B}=\dfrac{8a^3}{a^3}=8

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What is the mean absolute deviation?
Lostsunrise [7]

Answer:

0.8 cm

Step-by-step explanation:

The formula for MAD is attached in the picture.

x_i are the values (data)

x bar is the mean

n is the number of numbers (data)

For figuring out MAD, basically, <em>we subtract the mean from each of the values respectively and take the absolute value and SUM for all of the numbers in the data set. Then we divide by n, the number of numbers.</em>

<em />

Let's do this:

MAD = \frac{|2-3|+|2-3|+|2-3|+|2-3|+|3-3|+|3-3|+|3-3|+|4-3|+|4-3|+|5-3|}{10}\\=\frac{1+1+1+1+0+0+0+1+1+2}{10}\\=\frac{8}{10}=0.8

MAD is 0.8

6 0
3 years ago
Find the lateral area of the prism.<br> 4cm<br> 3cm <br> 6cm<br> 5cm<br> Lateral Area = [?]cm2
kolbaska11 [484]

Answer:

The lateral surface area of a prism is the sum of the surface areas of the sides of the prism.

Since the bases of the prism are triangles, there are three sides. The area of each lateral is the product of a side of the triangle times the height of the prism.

We can express this as Lateral Surface Area LSA = (s1xh) + (s2xh) + (s3+h), where "s1, s2, s3" are the lengths of the sides of the triangle and "h" is the height of the prism.

We can factor out "h" to get LSA = hx(s1+s2+s3) where the factor "s1+s2+s3" is the perimeter of the triangle.

Solving for "h", we get h = LSA / (s1+s2+s3)

For your specific problem, h = 300 / (4 + 5 + 6) = 300 / 15 = 20

4 0
3 years ago
Express the following equation in slope-intercept form: 13x - 3y = 18 Select the best answer from the choices provided. A. y = 3
AveGali [126]

Answer:

The equation in the slope-intercept form is y =  \frac{13}{3}x + -6 ⇒ C

Step-by-step explanation:

The slope-intercept form of the linear equation is

y = m x + b, where

  • m is the slope of the line
  • b is the y-intercept

∵ The equation is 13x - 3y = 18

→ At first move x from the left side to the right side by subtracting 13x

  from both sides

∴ 13x - 13x - 3y = 18 - 13x

∴ - 3y = 18 - 13x

→ Make the coefficient of y equal 1 by dividing both sides by -3

∵ \frac{-3y}{-3}=\frac{18}{-3}-\frac{13x}{-3}

∴ y = -6 - (-\frac{13}{3}x)

→ Remember (-)(-) = (+)

∴ y = -6 + \frac{13}{3}x

→ Switch the two terms of the right side

∴ y =  \frac{13}{3}x + - 6

∴ The equation in the slope-intercept form is y =  \frac{13}{3}x + -6

7 0
3 years ago
You want to know how long it will take to get to the town of Fondue Ville on your bike, which is 84 km away. You travel 12 km ev
kiruha [24]
84/12= 7
7x30= 210

210 minutes//3.5 hrs
7 0
3 years ago
Read 2 more answers
Help help help help help math math please please pelsss
Komok [63]

Answer:

Both of the angles will add up to 180 degrees so let’s make an equation.

5x-5+2x+10=180

First we collect like terms

5x+2x-5+10=180

Add them up

7x+5=180

Move the constant to the right

7x=180-5

7x=175

7x/7=175/7

x=25

So yes it’s true x=25.

Now we find the respective angles,

5x-5

5(25)-5

125-5

120

So angle one is 120 degrees.

2x+10

2(25)+10

50+10

60

So angle two is 60 degrees.

Now to check,

120+60=180

Step-by-step explanation:

4 0
3 years ago
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