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3 years ago

A 10-inch by 10-inch plece of cardboard has a 2-inch by 2-inch square cut out of

Mathematics

1 answer:

rodikova [14]3 years ago

4 0

Equation for volume of a square is V=BH or V=LWH

if 2 inches are cut from each corner it decreases the size from 10 by 10 to 6 by 6

the 2 inches that were cut of now represent the height

so...

L=6

W=6

H=2

sub this into the formula to get L=6x6x2 which equals to 72 inches squared

You might be interested in

Two pedestrians simultaneously left two villages 27 km apart and walked toward each other. the first one walked 4 km per hour, a

Salsk061 [2.6K]

<u>Step 1: Assign variable for the unknown that you need to find. </u>

Let ' t ' be the number of hours it took for the pedestrians to meet.

<u>Step 2: List the give details</u>

Speed of first pedestrian = 4 km/hr.

Speed of second pedestrian = 6 km/hr.

Distance between two pedestrians = 27 km.

<u>Step 3: Set up an equation</u>

The relationship between speed, distance and time is given below:

$Distance= \; Rate \times Time$

The first one walked 4 km per hour, distance traveled by first pedestrian is given below:

$Distance_{1^{st} \; pedestrian} \; = \; 4t\\\\Distance_{2^{nd} \; pedestrian} \; = \; 6t$

Two pedestrians simultaneously left two villages 27 km apart and walked toward each other.

$Distance_{1^{st} \; pedestrian} +Distance_{2^{nd} \; pedestrian} =27\\\\4t+6t=27\\Combine \; Like \; Terms\\\\10t=27\\Dividing \; 10 \; on \; both \; sides\\\\ \frac{10t}{10} = \frac{27}{10} \\Simplifying \; fraction \; on \; both \; sides\\\\t=2.7 \; hours$

Conclusion:

The pedestrian meet after 2.7 hours.

3 0

3 years ago

Plz help me no long answers thx I need it now

oee [108]

Answer:

$\large\boxed{y\geq-3}$

Step-by-step explanation:

$y-3\geq-6\qquad\text{add 3 to both sides}\\\\y-3+3\geq-6+3\\\\y\geq-3$

5 0

3 years ago

On a coordinate plane, 2 polygons are shown. Polygon A B C D is larger than polygon A prime B prime C prime D prime and is refle

Stells [14]

The similarity transformation is a dilation with a scale factor less than 1 and then a reflection

<h3>What is transformation?</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Dilation is the increase or decrease in the size of a figure by a scale factor.

Polygon ABCD is larger than polygon A'B'C'D' and is reflected across the y-axis to form polygon A'B'C'D'

The similarity transformation is a dilation with a scale factor less than 1 and then a reflection

Find out more on transformation at: brainly.com/question/4289712

#SPJ1

5 0

2 years ago

marie and jessie fly from detroit to new york their flight leaves at 1:00 pm and they arrive at 5:00pm if they flew avout 600 mi

enot [183]

150 miles per hour (pretty slow for a plane so I hope that's correct)

3 0

3 years ago

At Burnt Mesa Pueblo, archaeological studies have used the method of tree-ring dating in an effort to determine when prehistoric

Marina CMI [18]

Answer:

a) The range is (1199, 1267)

b) The range is (1165, 1301)

c) The range is (1131, 1335)

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(1233,34)$

Where $\mu=1233$ and $\sigma=34$

The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ). Broken down, the empirical rule shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).

Part a

For this case we can use the statement from the empirical rule "68% of the data falls within the first standard deviation (µ ± σ)", and we can find the limits like this:

$\mu -\sigma= 1233-34=1199$

$\mu +\sigma=1233+34=1267$

The range is (1199, 1267)

Part b

For this case we can use the statement from the empirical rule "95% of the data within the first two standard deviations (µ ± 2σ)", and we can find the limits like this:

$\mu -2\sigma= 1233-(2*34)=1165$

$\mu +2\sigma=1233+(2*34)=1301$

The range is (1165, 1301)

Part c

For this case we can use the statement from the empirical rule "99.7% of the data within the first three standard deviations (µ ± 3σ)" and that represent almost all the data, and we can find the limits like this:

$\mu -3\sigma= 1233-(3*34)=1131$

$\mu +3\sigma=1233+(3*34)=1335$

The range is (1131, 1335)

5 0

3 years ago