Mathematics Middle School

A right rectangular prism is 5 inches long, 12 inches wide, and 8 inches tall. The diagonal of the base is 13 inches.
The area of the cross section that is perpendicular to the base and created by a plane that slices the prism through the diagonals of the base and its opposite face is _ ?
square inches.

Answers

Answer 1

I think that would be a rectangle with sides 13 and 8 Which = 104 ins^2

Answer 2

Answer:

Area of cross section is 104 [tex]\:inche^2[/tex]

Step-by-step explanation:

Given Dimensions of Rectangular prism are Length = 5 inches, Width = 12 inches and Height = 8 inches.

The shape of the cross section that is perpendicular to the base and created by slicing the prism through diagonals of top and bottom is Rectangle.

Length of rectangle = Length of diagonal of base & top = 13 inches

Width of Rectangle = Height of Prism = 8 inches

Area of Cross Sectional Rectangle = Length × Width

= 13 × 8

= 104 [tex]\:inche^2[/tex]

Therefore, Area of cross section is 104 [tex]\:inche^2[/tex]

Related Questions

What is the value of z 53= -19 + 5 + 7z please explain

Answers

first add like terms
53 = -14 + 7z
now add 14 to both sides
67 = 7z
divide both sides by 7
9.5714285 = z

i hope this helps!!

53 = -19 + 5 + 7z
53 = -14 + 7z
67 = 7z
67/7 = z

hope this helps , give brainliest

what is the y-intercept of a line thay has a slope of 3 and passes through point (-1,-7)
if you can help that would be amazing

Answers

The answer is y= 3x -4

what is the greatest density
please help me

Answers

cylinder s because it has more weight

cylinder s why because it has more weight in it and the others have lesa2

yo some one help me plz

Answers

She spent 1/2 more the time on her math project then on her reading homework.

A Ferris wheel can accommodate 54 people in 24 minutes how many people could ride the Ferris wheel in 2 hours

Answers

270.
First, you need to figure out how many times 24 goes into 120 (120 being the number of minutes in a 2 hour period). When you divide 120 by 24, you get 5.
Next, multiply the number of people (54) by the number of minutes (5) to discover that the Ferris wheel can accommodate 270 people in 2 hours.

The number of people ride the Ferris wheel in 2 hours is 270.

What is multiplication?

Augmentation is an activity that addresses the fundamental thought of rehashed expansion of a similar number. The numbers that are multiplied are referred to as the factors, and the result that is produced when two or more numbers are multiplied together is referred to as the product of those numbers. Repeated addition of the same number can be made easier by using multiplication.

Given Ferris wheel can accommodate 54 people in 24 minutes

number of people can ride in 1 minute = 54/24

number of minute in 2 hours is 2 x 60 = 120 minutes

no. of people can ride in 2 hours or 120 minutes is

54/24 x 120 = 270

Hence the 270 people could ride the Ferris wheel in 2 hours.

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How many solutions does this equation have? 7v = 7v + 10

Answers

7v = 7v + 10

Subtract 7v from both sides.

0 = 10

Since 0 = 10 is a false statement this equation has no solution.

How many solutions does this equation have?
Answer: none.

So your variable is v. Let's solve for v.

7v = 7v + 10. subtract 7v from both sides
0 = 10

NO SOLUTION

As you can see, 0 does not in fact equal 10.

Anytime you get a false equation like this which usually results when the variable disappears like it did here, there is no solution.

hope this helps C:

The sum of the measures of two angles is 180°.
One angle measures 3a and the other angle measures 2a - 25 Find a. Then find the measure of each angle.

Answers

A should be here :https://brainly.com/question/2121320

so first make an equation

180 = 3a + 2a - 25
combine like terms
180 = 5a - 25
add 25 to both sides
205 = 5a
divide both sides by 5
41 = a

now substitute 41 into the two angles
3(41) = 123
2(41) - 25 = 82 - 25 = 57

so one angle is 123 degrees
the other angle is 57 degrees

to check it, just add 123 + 57 = 180
yep! its correct

i hope this helps!!

(
8x4 y2
)(
12x4 y2
)

Answers

(8x⁴y²)(12x⁴y²)

Simplify.

(8 · 12)(x⁴ · x⁴)(y² · y²)

Simplify.

(96)(x⁸)(y⁴)

Simplify.

96x⁸y⁴

~Hope I helped!~

A spider has 8 legs. An ant has 6 legs. There are a group of spiders and a group of ants. The groups have equal numbers of legs. What is the least number of spiders and ants in each group? Show your work

Answers

There are three spiders and 4 ants in all

The least number of spiders is 6 and ants is 8.

What is multiple?

In mathematics, multiples are the results of multiplying an integer by a given number.

Manifold is the fundamental definition of multiplicity. A multiple in mathematics refers to the outcome of multiplying two numbers together.

For example, multiples of 5 are: 10, 15, 20, 25, 30…etc. Multiples of 7 are: 14, 21, 28, 35, 42, 49…etc.

Given:

A spider has 8 legs.

An ant has 6 legs.

So, multiples of 8= 8, 16, 24, 32, 40, 48

and, multiples of 6= 6, 12, 18, 24, 30, 36, 42, 48

So, least number of spiders because= 8 x 6= 48

and, least number of ants = 6 x 8 = 48

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A number divided by-9 is -16

Answers

equation= x divided by -9 = -16
solve= 9 x 16 = 144
answer is 144

x / -9 = -16
multiply both sides by -9
x = 144

i hope this helps!!

kim burns 85 calories per hour hiking. How many calories will Kim burn in 8 hours? Write the equation. Identify the independent and dependent variable

Answers

x is 85 and y is 8 so 85 * 8 is 680 calories.

Let h represent hours and c represent calories
85h=c
85(8)=c
680=c
Therefore, Kim burns 680 calories in 8 hours.

Temperatures in the Gobi Desert reach -40F in the winter and 90F in the summer. Find the range of the temperatures.

Answers

The range is the highest number - lowest number
90F - 40F = 50F

a lawn mower uses a mixture of gas and oil. for each ounce of oil the mixture contains 10 ounces of gasoline. if the tank holds 99 ounces of the mixture , how many ounces each of oil and gasoline are required to fill the tank completely?

Answers

Final answer:

To fill a 99-ounce tank with a 1:10 oil to gasoline ratio, you need 9 ounces of oil and 90 ounces of gasoline.

Explanation:

A lawn mower uses a mixture of gas and oil, with a ratio of 10 ounces of gasoline to every 1 ounce of oil. To find out how many ounces of oil and gasoline are required to fill a 99-ounce tank, we set up a proportion.

Let's denote the amount of oil needed as x ounces. Since the ratio is 1:10, then the amount of gasoline needed will be 10x ounces. The sum of oil and gasoline should equal the tank's capacity:

x ounces (oil) + 10x ounces (gasoline) = 99 ounces (total mixture)

Combining like terms gives us:

11x = 99

Dividing both sides by 11 yields:

x = 9

Therefore, there would be 9 ounces of oil and 90 ounces of gasoline (since 10 * 9 = 90) required to fill the 99-ounce tank completely.

Final answer:

A 99-ounce tank requires 9 ounces of oil and 90 ounces of gasoline to be filled completely, keeping the ratio of 1 ounce of oil to 10 ounces of gasoline.

Explanation:

The question is about determining the correct ratio of oil to gasoline needed to fill a lawn mower's tank, which holds a mixture of the two. Specifically, for every ounce of oil, the mixture requires 10 ounces of gasoline. To find out how many ounces of oil and gasoline are needed for a 99-ounce tank, we can set up a simple proportion. Let's denote the amount of oil as 'o' in ounces, and since for each ounce of oil we need 10 ounces of gasoline, we thus need '10o' ounces of gasoline.

The total mixture is given as 99 ounces, which is the sum of oil and gasoline, so we have the equation: o + 10o = 99.Solving for 'o' gives us o = 9. This represents the ounces of oil needed.To find the amount of gasoline, we multiply the amount of oil by 10, giving us 10*9 = 90 ounces of gasoline.

Therefore, to fill a 99-ounce tank, we would need 9 ounces of oil and 90 ounces of gasoline.

The temperature outside Jude's house was -3.7 degrees Celsius. It then decreased by 4.2 decreased by Celsius.

Answers

The answer is -7.9 you add 3.7 plus 4.2 and since its decreasing that means negative

plz answer 10 POINTS

Answers

the answer would be 2n+3

2n+3
twice a number means multiply by two it's different than squaring a number always remember that

n his free time, Gary spends 14 hours per week on the Internet and 7 hours per week playing video games. If Gary has five hours of free time per day, what percent of his free time is spent on the Internet and playing video games?

Answers

This guy has a total of 5(7) = 35 hours of free time every week.

(14+7) hours
------------------- = 0.6, or 60%
35 hours

He spends 60% of his free time on the 'Net and playing video games. I wonder what his report card looks like. ;)

Below are two equations. Solve each equation and compare the two solutions. Choose the statement that is true about each solution. (3 points) Equation #1 Equation #2 |2x - 4| = 5 |3x - 4| = -12 Equation #1 and Equation #2 have the same number of solutions. Equation #1 has more solutions than equation #2. Equation #1 has fewer solutions than equation #2. None of the statements above describe the number of solutions to equations shown.

Answers

2x-4=5,
2x=5+4
2x=9
x=9/2

2x-4=-5
2x=-5+4
2x=-1
x=-1/2

Equation #1 has 2 solutions

|3x-4|= -12 has no solution cause |x|> or equal 0

⇒ Equation #1 has more solutions

how much larger is the LCM than the gcf of 18 and 27?

Explain for points

Answers

To start, to answer this question you would first need to find the LCM and the GCF of the numbers, 18 and 27.

The least common multiple, or LCM of 18 and 27 would be 54, in which you find by listing the multiples of both numbers to find the multiple that occurs first and matches with both numbers: 18, 36, 54 27, 54

Now, you have to find the GCF, or the greatest common factor, which is the greatest factor of both numbers that you can take out from both numbers without needing to simplify further. This number would be 9. One way to do this would be listing the factors of both numbers.
18: 1 and 18, 2 and 9, 3 and 6
27: 1 and 27, 3 and 9

Now, to answer the question, you find the difference of the LCM and the GCF. This would be 54-9 which is 45.

Answer: 45

If two triangles have equivalent angle measures, then they are congruent

Answers

yes, they are congruent if they have equivalent angle measures

Yes any time a triangle has at least two equal sides they are congruent

Can someone answer my question

Answers

Rial- 100, 034 points
Lexi= 100,034-9348
= 90,686
Susie= 90,686+9749
= 100, 435
Hope this helps :))

this is the answer hope you can understand it

Mr. Gehring has a 3/4 pound bag of flour to use 6 cakes. How much flour is. Used for each cake

Answers

When you dived you put the total first so you would divide 3/4 by 6 and to do that you keep 3/4 change the division symbol into a multination one and then flip 6 so now I would be 1/6 and then you just divide the numerator by the numerator and the denominator by the denominator. Hope that helped you.<3

how do you know on a right triangle which leg is a or b (Pythagorean Theorem)

Answers

The real answer is: it doesn’t matter! a and b are just labels we give to the legs; it doesn’t matter how you pick them, especially since addition is *commutative* (order doesn’t matter). An equality valid way of writing the equation would be:

(leg 1)^2 + (leg 2)^2 = (hypotenuse)^2

But it saves time to just write it as a^2 + b^2 = c^2, where a and b are the lengths of the legs and c is the length of the hypotenuse.

1+1=?

A.2
B.3
C.4
D.5

Answers

The answer is A. [:|

What is the domain of the function on the graph?

Answers

the answer is letter C

Answer:

The domain of the function is:

All the real numbers.Step-by-step explanation:

Domain--

Domain of a function is the set of all the x- values for which the function is defined.

and the range of the function is the set of all the values which are attained by the function.

From the graph of the function we see that the graph look similar to the graph of a modulus function such that the graph is extending to infinity in both the direction.

Also, the graph is plotted for all the real numbers.

and the range of the function if all the real numbers which are greater than or equal to -2.

Hence,the answer is:

All real numbers.

Which inequality best represents the situation? A pine tree grows at a rate of 1.5 feet per year. James plants a 2-foot tall pine tree in his yard. How many years will it take for the tree to be at least 14 feet tall? A. 2x + 1.5 ≥ 14 B. 2x – 1.5 ≤ 14 C. 1.5x + 2 ≥ 14 D. 1.5x – 2 ≤ 14

Answers

The answer is C. because 1.5 is the height while x is next to it to show the multiplication of years to height

it grows 1.5 feet per year so multiply that by number of years (x)

1.5x

it started at 2 feet tall

so you would have 1.5x +2 ≥14

Answer is C. 1.5x + 2 ≥ 14

Jackson flipped a coin ten times. He flipped heads 4 times and tails 6 times. What is the experimental probability that Jackson will flip heads on his next flip?

Answers

1/10 chance. Is it correct?

Answer: 0.4

Step-by-step explanation:

Given : The number of times Jackson tossed the coin = 10

The number of times he got heads = 4

Now , the experimental probability that he will get head on next flip is :_

[tex]\text{P(Head)}=\dfrac{\text{P(Number of times he got head)}}{\text{Number of times he tossed the coin}}\\\\=\dfrac{4}{10}=0.4[/tex]

Thus , the experimental probability that Jackson will flip heads on his next flip is 0.4.

Eight bricks are laid end to end along the edge of a flower bed. Each brick is 8 1/2 inches long. How long is the row of bricks in feet

Answers

Eight times 8 1/2 inches comes out to 8(8 1/2 inches) = 8(17/2) = 68 inches.

Answer: The length of row of bricks is 68 inches.

Step-by-step explanation:

Since we have given that

Number of bricks = 8

Length of bricks = [tex]8\dfrac{1}{2}=\dfrac{17}{2}[/tex]

So, Length of the row of bricks is given by

Number of bricks × length of brick

[tex]8\times \dfrac{17}{2}\\\\=4\times 17\\\\=68\ inches[/tex]

Hence, the length of row of bricks is 68 inches.

when 18 is subtracted from six times a certain number,the result is -42. what is the number?

Answers

Let x be the number.

Then;

6x-18=-42 (solve for x now)
6x=-42+18
6x=-24
x=-4

Therefore, this number would be -4.

Hope I helped :)

To start off, you want to create an equation. 18 subtracted six times from a certain number (let's use a variable 'x') would look like: 6x - 18.
6x - 18 = -42

Next, isolate the variable by adding 18 to both sides.
6x - 18 = -42
+ 18 + 18
6x = -24

Lastly, solve for x.
6x/6 = -24/6
x = -4

How can you use ratios and rates to solve problems?

Answers

How can you use ratios and rates to solve problems?

Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios. Solve unit rate problems including those involving unit pricing and constant speed.

Final answer:

Ratios and rates are used in Mathematics to solve various problems. They are used in unit conversions through conversion factors, in dimensional analysis, in calculation of relative rates of reaction, and in data measurements for statistical analysis.

Explanation:

Using ratios and rates in Mathematics can be extremely useful to solve a wide range of problems. Ratios are a way to compare two or more quantities, and rates are ratios that compare two different units.

For example, conversion factors, generated from ratios of equivalent quantities with different measurement units, can be very helpful in unit conversions. If we know that 2.54 cm is equivalent to 1 inch, we can set up a ratio of 2.54 cm/1 in. and use it as a conversion factor.

Dimensional Analysis is another technique where ratios play a vital role. It involves using rates or conversion factors to convert units. With practice, we can develop good estimation skills with dimensional analysis, guiding us whether our solution seems reasonable or not.

In addition, ratios can be used in Relative Rates of Reaction in Chemistry, where the rate of a reaction may be expressed as the change in concentration of any reactant or product. Depending on the stoichiometry of the reaction, we can relate reactants and products rates to each other.

Moreover, ratios are employed in data measurements, providing detailed information in fields like Statistics. For example, to analyse the data such as exam scores, we can order the results, calculate the differences, and express the results in ratio form.

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Evaluate 43 – 3m for m = 6.

Answers

Since m is 6, multiply 3 and 6, which is 18. Then do 43 - 18 which would be 25.

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