Mathematics Middle School

A rectangular pyramid has a height of 10 meters. The base measures 8 meters in length and 12 meters in width. Two different triangular cross sections are formed through the vertex and perpendicular to the base. What is the difference in the areas of the cross sections? Enter your answer in the box.
_______m2
PLZ HELP

Answers

Answer 1

Answer:

The answer is  30 m²

Step-by-step explanation:

step 1

find the area of the first cross section

area1=b1*h/2

b1=8 m

h=10 m

area1=6*10/2------> 30 m²

step 2

find the area of the second cross section

area 2=b2*h/2

b2=12 m

h=10 m

area1=12*10/2------> 60 m²

step 3

find the difference in the areas of the cross sections

difference=60-30------> 30 m²

Related Questions

A coin is tossed and a single 6-sided number cube is rolled. Find the probability of landing on the heads side of the coin and rolling a 3 on the number cube.

Answers

well we have a 1/2 chance at rolling a heads and a 1/6 chance at rolling a number 3

Step-by-step explanation:

1/2 x 1/6 = 1/12 1/12 is the answer I believe

A survey of a group of seventh-graders and a group of teachers at a local middle school asked how many siblings they each have. The dot plots below show the results.

Students
A dot plot titled Students. A number line going from 0 to 9 labeled the number of siblings. There are 2 dots above 0, 4 above 1, 7 above 2, 5 above 3, 2 above 4, and 0 above 5, 6, 7, 8, and 9.

Teachers
A dot plot titled Teachers. A number line going from 0 to 9 labeled Number of siblings. There is 1 dot above 0, 3 dots above 1, 2 above 2, 4 above 3, 5 above 4, 3 above 5, 1 above 6, 0 above 7, 1 above 8, and 0 above 9.

Based on the shape of the two-dot plots, which statements correctly compare them? Select three choices.
The center of the data for students has a value less than that of the center of the data for teachers.
The center of the data is to the right of the dot plot for both teachers and students.
There is a greater variation in the data for teachers than for students.
Both sets of data cluster around 2.
The same number of teachers as students were surveyed.

Answers

Answer:

i think it  is a,c,d

Step-by-step explanation:

Answer:

C,D,E

Step-by-step explanation:

I want to say this since looking at the data plots it is both teachers and students both have 20 people reviewed, and there is a cluster around two for both.

26. Which of the following diagrams show a pair of corresponding angles?

Answers

Answer:

third show cointerior and 4th shows alternate

PLEASE HELP ME PRETTTY PLEASE IM BEGGING

Answers

Answer:

Least to Most Likely:

In this order:

Honor (1/10=10%)

Simple (30%)

Bonus (3/5=60%)

Answer: honor tile, then simple tile, then bonus tile.

Explanation:

Let's get all the probabilities to become a fraction with a denominator of 10 so it will be easier to compare

simple tile - 30% equals 0.3=3/10

honor tile - 1/10 is already good

bonus tile - 3/5=6/10

1/10 is the least likely, followed by 3/10, and 6/10 is the most likely

honor tile, then simple tile, then bonus tile.

What is the length of the strip of seaweed around the outside of the sushi?

Give your answer correct to one decimal place.

Answers

To find the circumference of a round object, you will take the diameter and multiply is by pi to get 78.5mm

Look at this expression.
5 (-3x + 1)
Which expression is equivalent to the expression? Use properties to help you.​​​​​​​
A -53x + 51
B -15x + 5
C 15x + 5
D -15x + 6

Answers

Answer:

-15x+5

Step-by-step explanation:

Multiply you'll get your solution

The answer is B) -15x+5

Could someone please help me? If you know all the answers please write down what the answers are. Also, tell me how you got the answer. Will mark brainlist for the best answer for solving the equations or questions.

Answers

Answer:

1. its B

2. you use pemdas

3. you use the second step of pemdas

Step-by-step explanation:

1. because all of the parts are equal and there are only four equal parts.

2. Pemdas=Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

3. Pemdas=Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

#2: 1/4
#6: A
( I like your pfp btw ;))

who ever gets this answer right will get a brainlest
options:
Angle
line
line segment
point
ray
none of these

Answers

Answer:

The answer is a Line. (2nd option)

Step-by-step explanation:

The answer is a line segment

The leaders of two youth sports teams randomly select five members of each team and record their ages, as shown.
Team A: 16, 13, 12, 16, 13
• Team B: 10, 13, 16, 16, 10

Answers

Answer: A

Step-by-step explanation:

D) They have less variability which makes the mean higher (14)

Help meeeee plsssss last oneeee

Answers

36% is the right answer
36% is the correct one

JJ’s Fitness Club offers two different fees for their yoga classes. Club members are charged a one-time membership fee of $24 and pay $3 per class. Non-members pay $7 per class. How many classes result in the same cost for a member and non-member?

Answers

Answer:

So the answer is 13 classes member and 9 non member

Step-by-step explanation:

so you gotta do 24 + 3x = 7y ok?

and x equals 13 so 39 + 24 = 63

and non member is 7x = 63

x = 9

Hope I helped :D

the answer is 5x. Step One: Where x equals the number of aerobics classes,
Members Nonmembers
Cost in Dollars 10+3x 0+5x
Step Two: We create an equation to solve for x.
Member Cost=Nonmember Cost
10+3x= 0+5x
Step Three: Solve for x:
10+3x= 5x Subtract 3 from both sides
10=5x-3x Combine like terms
10=2x
5=x

Arielle grade in the second Marking Period increased by 48.2%. If G represents Arielle Grade in the First Marking Period, What is Arielle Grade in the Second Marking?

Answers

Answer:

0.482

Step-by-step explanation:

Use the given functions to set up and simplify sec(ond).

48.2% = 0.482

G = 0.482

sec(ond) = 0.482

0.482.......................

Please me on this question!

Answers

Answer:

the variable is n.

the coefficient is 5.

the constant is 2.

the term is 5 and 2.

Step-by-step explanation:

Variable: N
Coefficient: 5
Constant: 2
I’m sorry but I have no idea what a term is :)

Based on the line plot, how many batteries lasted more than 5 1/2 hours? *

Answers

Answer:

5 batteries.

Explanation:

"How many batteries lasted more than 5 1/2 hours?" which means it's counting not only 5 1/2, but 5 3/4 and 6 1/4

5 batteries because 4 lasted for 5 3/4 hours and 1 lasted for 6 1/4 hours

Anna is 3 years older than her sister Grace. Write an expression to show Anna's age.

Answers

Answer:

Gx+3=A

Step-by-step explanation:

Yx+3=A uuuiyuyhyhhgvvfcfff

40. Find the length of the hypotenuse, c in this triangle. Give the answer in the form c=__.

.

Answers

Answer:

c=5

Step-by-step explanation:

using pythagorean theorem, 3 squared plus 4 squared is 25. by finding square root of 25, you get 5

Answer:

5

Step-by-step explanation:

a^2 + b^2 = c^2

3^2 + 4^2 = 25

sqrt 25 = 5

Kiley invited 10 students to her home, and 20 showed up. What percentage of the number invited showed up?

Answers

Answer:

200% of the number she invited.

Step-by-step explanation:

20/10 = 2

2 x 100 = 200

Answer:200%

Step by step explanation: 10 people=100% so 2x that will be 200%

HELP MEEE PLEASE ILL MARK BRIANLIST!!!!

Answers

The points in order from top to bottom are :

F
E
C
H
I
a) -x= F
the start of the question gives x=-2 which then you flip the signs to get -x=2. The point that corresponds with 2 is F
b) |-1.5|= E
When a negative number is put in absolute values it becomes positive so in this case we would be looking for the point which had a value of 1.5 which is point E
c) -4= C
-4 is corresponding to C
d) |5|= H
As 5 is already positive the absolute values don’t matter. H corresponds with the number 5
e) |-6|=I
Similar to (b) the number is negative so the absolute values would make it positive and positive 6 is located at I

Hopefully this helped :)

PLEASE HELP....
I need a good grade...

Answers

Answer:

the 4th one is 23 x 2x = 98+4

Step-by-step explanation:

The 4th one is the best option

Which of these describes information that can appear in a consumer’s credit report?

a. The name of a store where the consumer pays cash for all purchases
b. The name of a company that gave the consumer a car loan two years ago
c. The amount of money the consumer will need to borrow in the next five years
d. The amount of money that the consumer loaned to a family member

Answers

I believe the answer is D. A credit report covers info on loan paying history. I was stuck between b and d but then realized it said the company gave a loan while your own credit history covers what you have paid or loaned. Hope this helps, have a nice day.
Either B or D but my best guess is B

sorry if i’m wrong :((

Find the area. Be sure to use the correct units.

Answers

Answer:

96 m

Step-by-step explanation:

16m x 12m= 192

192/2=96

Answer:

128 m

Step-by-step explanation:

In a square all the sides are the same. Since a triangle is half of a square, we find the area of a square then divide it by 2. So if one side is 16, we multiply 16x16 and get 256. 256/2=128

Sue earns $6 an hour walking her neighbor's dog.

Part A: Create two variables and determine which is dependent and which is independent for this situation. (4 points)

Part B: List three ordered pairs to show the values of the two variables. (3 points)

Part C: Write an equation to represent the relationship between the two variables. (3 points)

don't use the website Https://questioncove.com/updates
it is restricted for me please copy and paste the answer.
this is all the info I have for you.

Answers

Answer:

Step-by-step explanation:

A here x is dependent and y is independent

B first

x-6

y-1

second

x-12

y-2

third,

x-18

y-3

C 6x+y

35. Find the area of the shaded region in the following figure, correct to one decimal place.

Answers

Answer:

Step-by-step explanation:

Answer:

I think the answer is 96.45cm

Step-by-step explanation:

The radius = 13 cm, the area of the semi-circle is equal to (pi x 13^2)/2 which is equal to 265.45

The area of the triangle is (26 x 13)/2 = 169

So the area of the shaded area is 265.45 - 169 = 96.45cm

can someone pls help im rlly bad at circle graphs i will give brainliest!!

Answers

The answer is 87

Explanation:
there are 150 students
If you add 28% from spaghetti and 30% from pizza you get 58%

now, 58% is 0.58 in decimal form, so then you multiply 150 times 0.58, and there is your answer! I hope this helped!
16 students

30+28=58
12+18+12=42

58/150 42/150
58-42=16

HELP PLEASE!!! 50 pts!

Answers

Answer:

Options D, E, and F

Step-by-step explanation:

Options D, E, and F are all correct.

D and E are pretty much the same, if there is a radical that is the same for the numerator and denominator, there can also be one radical over the entire fraction.

F is also correct because I used my calculator to determine what all of these equations are (1.03).

Hope this helps!

Answer:

Options D, E, and F

Step-by-step explanation:

Happy to help you

Which graph shows the best line of fit for the scatter plot?

Answers

A is the correct answer
A is the answer to this hope this helps

Am I right or should I make any adjustments?

Answers

Answer:

it looks alright to me i think you're good to stick with that answer

help me please thanks

Answers

Answer:

x  <  − 5

The notation would be ( − ∞ ,  − 5 )

On the graph, you would put an open dot on -5 and an arrow continuing down it

same answer as the person who answered

If you took out a loan to get a car and had payments of $550 per month for the next 10 years to pay it off, how much money would you be paying in total?

Answers

Answer:

66,000

Step-by-step explanation:

550 * 12 * 10

a^2+3b÷c-2d
a=3 b=8 c=2 d=5

Answers

Answer:

9 is the answer to this question.

Step-by-step explanation:

a^2+3b÷c-2d

3^2+3x8÷2-2x5

9+24÷2-2-10

9+12-2-10

21-2-10

19-10

9

Answer:

11, I know you got the answer, but just in case you need an explanation..

Step-by-step explanation:

So, once you plug in the numbers it is... 3^2+3(8) divided by 2- 2(5). Then simplify the numbers... 9+24 divided by 2-2(5). Due to PEMDAS, division goes before addition or subtraction. So, 9+12-10. Simplify again ( it doesn't matter which property you use first..) Then 9+2 ( if you subtracted first ) and the final answer is 11.

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