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3 years ago

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Heidi is making a tower using sugar cubes. Each sugar cube has a side length of 1 cm. Each layer has 4 sugar cubes, arranged in

a 2 by 2 pattern. The completed tower has a volume of 24 cm3. How many layers of sugar cubes are in the tower?

1 answer:

Archy [21]3 years ago

4 0

Answer:

3 layers

Step-by-step explanation:

Given

$L = 1cm$ --- side length of the cube

Each layer = 2 * 2 cube

$Volume = 24cm^3$

Required

Determine the number of layers

First, we calculate the volume of each layer:

The length of the layer is:

$Length = 2 * L$

$Length = 2 * 1cm$

$Length = 2cm$

Next, we calculate the volume of each layer:

$Volume = Length^3$

$Volume = (2cm)^3$

$Volume = 8cm^3$

The number of layer is calculated by dividing the volume of the tower by the volume of each layer

$Layers = \frac{24cm^3}{8cm^3}$

$Layers = 3$

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If 5 tickets cost $11.00, how much do 20 tickets cost?

user100 [1]

Answer: 44 dollars

Step-by-step explanation:

so there is two ways to do this so ill show you both and you can see which one is easier for you!

method 1- divide the total amount of tickets by the amount with the cost. Then multiply that number by the cost

20/5=4 4*11=44

method 2- divide the money by the number with the cost. Then multiply it by the total amount of tickets.

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3 years ago

BRAINLIEST ANSWER WINS! A satellite is to be put into an elliptical orbit around a moon as shown below. A vertical ellipse is sh

bekas [8.4K]

Answer:

D. x²/1953² + y²/ 1466² = 1

Step-by-step explanation:

==>Given:

Radius of spherical moon = 1000km

Distance of satellite from moon surface = 953km to 466km

==>Required:

Derived equation of ellipse

==>Solution:

The formula for driving an equation of ellipse is given as:

x²/a² + y²/b² = 1

Where,

a = length of the semi-major axis, while,

b = length of the semi-major axis

Since we are told that the satellite distance to the surface of the moon varies from 953km to 466km, values of a and b is calculated by summing each length to the radius of the moon as follows:

a = radius of moon + the larger distance of the satellite = 1000+953 = 1,953km

b = radius of moon + the smaller distance of the satellite = 1000+466 = 1,466km

Thus, the equation of the ellipse would be:

x²/1953² + y²/ 1466² = 1

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3 years ago

Dataset: 147; 159; 164; 182; 172; 171; 162; 163; 157; 145; 164; 188; 172; 163; 162; 164 and 166. a) Arrange the data into a stem

Molodets [167]

The mean of data is 164.70, median and mode of data are 164

Given that Dataset: 147; 159; 164; 182; 172; 171; 162; 163; 157; 145; 164; 188; 172; 163; 162; 164 and 166. and asked to arrange data in stem and leaf diagram and asked to determine mean, mode and median form the stem and leaf diagram

STEM LEAF

14 5 7
15 7 9
16 2 2 3 3 4 4 4 6
17 1 2 2
18 2 8

$Mean =\frac{total sum}{numberof terms}$

$Mean=\frac{2800}{17}$

Mean= 164.70

Median⇒since there are 17 terms

Median= $\frac{N+1}{2}$ the term

Median=9th term=164

Mode⇒ most frequent number

Mode⇒164

Therefore, 164 is mode and median ,164.70 is mean

Hence,The mean of data is 164.70, median and mode of data are 164

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brainly.com/question/13451489

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2 years ago

I need some help with this, it doesn't make much sense to me.

alukav5142 [94]

Answer: Hi. Im a 6th grader what exactly are you struggling with?

Step-by-step explanation:

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3 years ago

PLEASE HELP! Solve each of the following by using the general quadratic formula.

Archy [21]

Using the quadratic formula, the solutions are:

a) $x = \frac{3 \pm \sqrt{41}}{4}$

b) $x = 1 \pm 2i$

<h3>What is a quadratic function?</h3>

A quadratic function is given according to the following rule:

$y = ax^2 + bx + c$

The solutions are:

$x_1 = \frac{-b + \sqrt{\Delta}}{2a}$

$x_2 = \frac{-b - \sqrt{\Delta}}{2a}$

In which:

$\Delta = b^2 - 4ac$

Item a:

The coefficients are a = 2, b = -3, c = -4, hence:

$\Delta = (-3)^2 - 4(2)(-4) = 41$

$x_1 = \frac{3 + \sqrt{41}}{4}$

$x_2 = \frac{3 - \sqrt{41}}{4}$

Item b:

The coefficients are a = 1, b = 2, c = 2, hence:

$\Delta = (2)^2 - 4(1)(2) = -4$

$x_1 = \frac{2 + \sqrt{-4}}{2} = 1 + 2i$

$x_2 = \frac{2 - \sqrt{-4}}{2} = 1 - 2i$

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2 years ago