Mathematics Middle School

ABCDEFGH is a rectangular prism with CD=5, AD=6, and AE=8. Find the volume of tetrahedron ABCF.

Answers

Answer 1

Answer:

Step-by-step explanation:

the volume of tetrahedron ABCF =

⅓× ½×5×6×8 = 40

Answer 2

The volume of the given tetrahedron ABCF will be 40 cube units.

What is a tetrahedron?

A tetrahedron is a polyhedron having four faces, six edges, and four vertices, all of which are triangles. It is also known as a triangular pyramid with a triangle base.

The ABCDEFGH is a rectangular prism given in the question, which has :

CD = 5, AD = 6, and AE = 8

We have to determine the volume of tetrahedron ABCF.

As per the question, the required solution would be as:

The volume of tetrahedron ABCF = 1/3 × 1/2 × 5 × 6 × 8

Apply the multiplication operation, and we get

The volume of tetrahedron ABCF = 40 cube units

Thus, the volume of the given tetrahedron ABCF will be 40 cube units.

Learn more about the tetrahedron here:

https://brainly.com/question/17132878

#SPJ2

Related Questions

Hey PLZZZZ HELP!

The profits earned in a year by some companies in a city are shown below: Company Profit A $160,000 B $140,000 C $130,000 D $1,120,000 E $150,000 Based on the data, should the mean or the median be used to make an inference about the profits earned by these companies? Mean, because it is in the center of the data Median, because it is in the center of the data Mean, because there are no outliers that affect the mean Median, because there is an outlier that affects the mean

Answers

Answer:

mean because there is an outlier

Step-by-step explanation:

since there is an outlier that affected the mean which is company D, it can only be mean because the outlier is too big.

Mean. It gives a better idea of the profits.

For each pair of points, think about the line that joins them.

For which pair(s) is the line parallel to the x-axis?

Select all correct answers.

Answers

Answer:

Step-by-step explanation:

spañol

Answer:

The answer might be number b

Plz help will be marked BRAINLIEST!
Thanks

Answers

Answer:

a) a + c = 90

d) a + b + c + 30 = 180

e) The angles marked a and b are vertical

f) The angles marked a and c are complementary.

Step-by-step explanation:

A complementary angle is and angle that has a sum of 90 degrees. A vertical angle is 2 angles facing each other, that are completely identical. 180 degrees is the sum of a strait line. 90 degrees is a right angle.

Hope this helps! Have a wonderful rest of your day!

-kiniwih426

kini is correct, have a good day/night !!

-bianca

Please help!!!!!!!!!!!!!!!!!!!!

Answers

1. Corresponding

2. Angle 8

the first one is corresponding
the second one is angle 8

PLEASE HELP ASAP!
Consider the 720 permutations of the numbers 1, 2, 3, 4, 5, 6. In how many of these permutations do exactly 3 of the numbers end up in the positions where they started?

Answers

The set {1,2,3,4,5,6} has a total of 6! permutations

a. Of those 6! permutations, 5!=120 begin with 1. So first 120 numbers would contain 1 as the unit digit.

b. The next 120, including the 124th, would begin with 2.

c. Then of the 5! numbers beginning with 2, there are 4!=24 including the 124th number, which have the second digit =1

d. Of these 4! permutations beginning with 21, there are 3!=6 including the 124th permutation which have third digit 3

e. Among these 3! permutations beginning with 213, there are 2 numbers with the fourth digit =4 (121th & 122th), 2 with fourth digit 5 (numbers 123 & 124) and 2 with fourth digit 6 (numbers 125 and 126).

Lastly, of the 2! permutations beginning with 2135, there is one with 5th digit 4 (number 123) and one with 5 digit 6 (number 124).

∴ The 124th number is 213564

Similarly reversing the above procedure we can determine the position of 321546 to be 267th on the list.

The set {1,2,3,4,5,6} has a total of 6! permutations a. Of those 6! permutations, 5!=120 begin with 1. So first 120 numbers would contain 1 as the unit digit. B. The next 120, including the 124th, would begin with 2. c. Then of the 5! numbers beginning with 2, there are 4!=24 including the 124th number, which have the second digit =1 d. Of these 4! permutations beginning with 21, there are 3!=6 including the 124th permutation which have third digit 3 e. Among these 3! permutations beginning with 213, there are 2 numbers with the fourth digit =4 (121th & 122th), 2 with fourth digit 5 (numbers 123 & 124) and 2 with fourth digit 6 (numbers 125 and 126). Lastly, of the 2! permutations beginning with 2135, there is one with 5th digit 4 (number 123) and

Hi this is 7th grade geometry with screenshot

Answers

Answer:

Step-by-step explanation:

ㄥAEC+160=180

ㄥAEC=20

ㄥAEC+x+80=180

20+x+80=180

x=80

There is a more simple method

x+80=160

x=80

It’s 80 because it is and it’s right

PLS HELP ME
Fine the circumference

Answers

Bgggvhhgfb dgfvvvcfvv

Answer:

2. 153.93804

Step-by-step explanation:

7 squared times pi is 153.93804

PLS HELP MY GRADES CLOSE TOMMORW Which side lengths form a right triangle?

Answers

Letter A is right

Explanation: best of luck

Answer: B

Step-by-step explanation:

jenny picked 40 roses and gave away 10. what percent of roses did she give away?

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The answer is 25%. If you take 40 and multiply by 2.5, it will equal 100. After that you multiply 10 by 2.5 and you get 25.

Answer: 25%

Step-by-step explanation:

How do I solve this?

Answers

Answer:

We know the width maybe 22ft and at its widest.

IF we say 3 triangles can be fit into a polygon given 2 sides then we 180 x 3 = 560 degree if its 3 rectangles then if it is easier to make 4 rectangles if square shape we can subtract the smaller measures of the missing rectangle.

With triangles;

The number of triangles is always 2 less than that that of its sides.

= 3 triangles + 2 = 5 sides.

The sum of interior angles

(n-2) x 180 = 540 degree

5-2 x 180

To determine the amount of sides; we remember

(n-2) 180

360 = (n-2) 180

+360 = 180 -360 +180

+360 = 180 = (3 triangles with 180)

900/180 = 5 sides.

If we say 5 triangles created with 3 given lengths

then same rule applies n-2 (180)

=7 sides

= if regular shape largest line 22 x 7 = 154 ft sq = Area.

Answer:

374

Step-by-step explanation:

First do the area of the triangle 7 x 22 = 308 308/2 = 154 22 x 10 = 220 220+154 =374

Look at the pic below for the question please help!!

Answers

answer:

(bh) (hb)

explanation: this is because to be able to find the area of the triangle, you need to know at least the length of two sides and these are the formulas that you could use to get the area

Bh
HB
I think this is the answer

Help with math please earn 10 points

Answers

I think it’s the second one

Answer:

Option 3: y = -0.5 + 27

Step-by-step explanation:

Where the + 27 comes from: It comes from where the line starts

Negative slope always goes down, and has negatives. Hence the answer is 3.

which angles are complementary to each other ? select all that apply

Answers

Answer: ∠1 and ∠5

Step-by-step explanation:

You can see that all of the other angles are exactly 90 degrees. The remaining two are angles 1 and 5 which means that they have to be 90 degrees. Since they are together, they also look perfectly like a 90 degree angle.

Hope this helps :)

Angle 1 and Angle 5 are complementary because the sum of both of those angles equals 90 degrees and the other 3 angles cannot be complementary to each other because they are already 90 degree angles by themself

(trigonometry question)
-I'll give branliest as a reward-

Answers

Answer:

AC=2.868

Step-by-step explanation:

using pythagoras theorem

take 35 degree as reference angle

hypotenuse =5 , opposite =AC , adjacent=BC

using sin rule

sin 35=opposite/hypotenuse

0.5735=AC/5

0.5735*5=AC

2.8675=AC

2.868=AC

Ac=2.868 sorry if I am wrong

Please help screen shot bellow.

Answers

-1/4

This will remain its absolute value

Answer:

absolute value is the oppistie of the number so if it is positive is will turn negative so i think the answer is C

Given the table of the following quadratic function, which statement about this function is NOT true?

A. The y-intercept of f(x) is 6.
B. The zeros of the function f(x) are -3 and 1.
C. The minimum of the function f(x) is 8.
D. The axis of symmetry of the function f(x) is x = -1.

Answers

C is the incorrect answer

The Smith family have decided to build a uniform walkway that is 3 ft wide using Travertine pavers around their rectangular swimming pool which measures 16 ft by 24 ft.

What is the area of the walkway? - 384 ft sq.

The paver selected by the family measures 6 in by 12 in. How many pavers are needed to cover the walkway?

Answers

Answer:

not sure

Step-by-step explanation:

6*12=72, 72in to feet is 6ft

384/6=64ft

Answer:

384 divided by 72 (6 times 12) = 5.33 i think

3√3 / √30
step by step pls

Answers

Answer:

3√10/10

Step-by-step explanation:

see the photo

............

Wut that guy said it’s right

please help me with the questions below

Answers

Answer:

2) 3/4 of the girls did not have 1 piece bathing suits

3) 4/6 were at the kiddie pool

4) 1/3 was boys

sorry if this was wrong

3/4 of the girls did not have a bathing suit. Since 1/4 of the girls did that would leave 3 out of the four left.

which angles are complementary to 3 ? Select all that apply

Answers

Answer:

Step-by-step explanation:

4 is the answer………………..

7/15(x+4)+2/15(x+4)=7 1/5

Answers

Answer:

x = 59/3

Step-by-step explanation:

X=59/3
Download the app photo math and it will help

helpppp plzzz...plz give steps

Answers

Answer:

Volume of hemisphere =

[tex] \frac{2}{3} \pi \: r {}^{3} [/tex]

Given volume =

[tex]18\pi \: cube[/tex]

[tex] \frac{2}{3} \times \frac{22}{7} \: {r}^{3} = 18 \times \frac{22}{7} [/tex]

So pi is there on both the sides so it will be cut from both LHS and RHS

[tex] \frac{2}{3} \times r {}^{3} = 18[/tex]

[tex]2 \times r {}^{3 } = 18 \times 3[/tex]

[tex]2 \times r {}^{3} = 54[/tex]

[tex]r {}^{3} = \frac{54}{2} [/tex]

[tex]r {}^{3} = 27[/tex]

[tex]r = 3[/tex]

Therefore value of r=3 inches

If you are helped with my answer pls tag me brianliest I really want it... Plzz

THANK YOU

R=3 inches that’s the answer

Simplify. 3√3 /√30
step by step

Answers

The answer is 0.9486. See the attachment

Multiply the numerator and denominator by the conjugate.

A conjugate is the inverse of an operation e. g + is the conjugate of -.

therefore the answer is squareroot of 10 divided by 3.

Help please?!!!!!!!!:8/8/&

Answers

Answer:

The answer is A) y =3x + 3

Step-by-step explanation:

You substitute the gradient and y intercept into the equation of y = mx +b

the answer is A.) y=3x+3

HELP PLEASE!!!!!!????

Answers

Answer:

Step-by-step explanation:

c. 235.00 intrest rate

If people send links report them

find surface area of the square pyramid!!! pls i need help with explaining!!!!!

Answers

Answer:

39 square yards

Step-by-step explanation:

The base is a square, so the area is 3 x 3 = 9.

Each side is a triangle, and the formula for that is (1/2)(base)(height)

The base of each side is 3 and the height of each is 5. There are 4 of those, so it's 4 x (1/2)(3)(5) = (2)(3)(5) = 30

Add the base and sides

30 + 9 = 39

Answer:

39 yards

Step-by-step explanation:

surface area = A + [tex]\frac{1}{2}[/tex] ps

A = area of the base

p = perimeter of the base

s = slant height

the base of the pyramid is a square, all sides and angles are equal

; 3 yards

; area of a square = l x w

; area of the base = 9 yd (A)

perimeter of the base ; 3 + 3 + 3 + 3 = 12 yd (p)

slant height = 5 yd (s)

; sub it into the formula

surface area = 9 + [tex]\frac{1}{2}[/tex] x 12 x 5

surface area = 39 yd

Write an equation that represents the line. Use exact numbers.

Answers

y = 6/5x -5

6/5 is your slope. Slope is always rise over run or y over x. -5 is the y- intercept. What is y when x is zero.

Y= 6/5x -5
The slope/change is 6/5 and the y-intercept is -5 which is where the line hits the y-axis

help pleasee!!!!!!!!

Answers

Answer:

14.2 ounce bottle

Step-by-step explanation:

the 14.2 ounce bottle Is 2 cents cheaper per ounce

It’s 14.2 once bottle

pls help im failing lol Which side lengths form a right triangle?

Answers

Answer:

4 4 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

i did the math and it took forever please mark brainliest :)

giving brainlist for correct

Answers

Answer:

Step-by-step explanation:

6 + 18 = 24

7 + 18 = 25

8 + 18 = 26

9 + 18 = 27

10+18 = 28

All greater than or equal to 24.

Greater than or equal 24

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