A quadrilateral regular pyramid, the area of any of its lateral faces equal the area of its base, if the side
length of the base of the pyramid is = 6 cm, then the volume of the pyramid =..........cm3
a) 36
b) 673
c) 36/15
d) 216V15

Answers

Answer 1

Answer:

  c)  36√15 cm³

Step-by-step explanation:

We can compute the volume of the pyramid if we know the area of its base, and its height.

__

A regular quadrilateral is a square. If one side of the square is 6 cm, its area will be ...

  A = s² = (6 cm)² = 36 cm² . . . . area of the pyramid base

__

Each triangular face will have a slant height that makes its area the same as that of the base.

  A = 1/2bh

  36 cm² = (1/2)(6 cm)h

  (36 cm²)/(3 cm) = h = 12 cm  . . . . .  divide by the coefficient of h

The slant height of a face is the hypotenuse of a right triangle whose short leg is half the side length, and whose long leg is the height of the pyramid. If that height is represented by h, the Pythagorean theorem tells us ...

  (6 cm/2)² +h² = (12 cm)²

  h² = (144 -9) cm²

  h = 3√15 cm . . . . . height of the pyramid

__

The volume of the pyramid is given by ...

  V = 1/3Bh . . . . . . base area B, height h

Using the values we found above, we compute the volume to be ...

  V = (1/3)(36 cm²)(3√15 cm) = 36√15 cm³


Related Questions

Hurry I need to get this done

Answers

A. 7 - 4 = 3. So, these points are separated by a distance of 3 units.

B. 2 - 1 = 1. So, these points are separated by a distance of 1 unit.

C. 3 - 1 = 2. So, these points are separated by a distance of 2 units.

D. 8 - 4 = 4. So, these points are separated by a distance of 8 units.

So A. is the correct answer.

Answer:

A. (2,4), (2,7)

Hope you could get an idea from here.

Doubt clarification - use comment section

Find the value of x?

Answers

Answer:

x = 40

Step-by-step explanation:

measure of the angles = 1/2( outside arc - inside arc)

       x/2 = 1/2[x + 70 - (x + 30)]

       x/2 = 1/2 ( x + 70 - x - 30)

       x/2 = 1/2 (40)

       2(x/2) = 2(1/2)(40)

            x = 40

Regan cycles 78 miles in 6 hours.
His average speed for the first 30 miles is 15 mph.

Work out Regan's average speed for the last 48 miles.

Answers

Answer:

12 mph

Step-by-step explanation:

First 30 miles while cycling at 15 mph. This means he spent 2 hours here.

Thus the 4 hours on the last 48 miles.

Average speed  =  distance / time

Average speed = 48 miles / 4 hours

Average speed = 12 mph

Therefore Regan's average speed is 12 mph for the last 48 miles.

Tell whether each equation has one, zero, or infinitely many solutions.
Solve the equation if it has one solution.



4x + 2 = x + 8 PLZZZZZ

Answers

Answer:

Exactly One Solution

Step-by-step explanation:

4x + 2 = x + 8

3x = 6                Simplify.

x = 2                  Divide by 2.

Answer:

One solution, x = 2

Step-by-step explanation:

4x + 2 = x + 8 (Given)

4x = x + 6

(The 2 is subtracted from the right side, therefore the left side is also subtracted. 8 becomes 6.)

3x = 6

(The x is subtracted from the right side to the left side. Thus turning the 4x into 3x)

x = 2

(The 3 is divided out to get x alone. So, the 6 has to be divided by 3 as well, turning it into 2)

A group of friends wants to go to the amusement park. They have no more than $50 to spend on parking and admission. Parking is &11 and tickets cost $13 per person plus tax. How many people can go to the amusement park?

Answers

Answer:

3 people

Step-by-step explanation:

$11 for parking leaving $39 after paying for parking

39÷13=3

Answer these also with standard pls

Answers

a. Slope 2 and y-intercept 3

Slope-intercept form: [tex]\bold{y=2x+3}[/tex]

Standard form: [tex]\bold{2x-y=-3}[/tex]

b. Slope [tex]\frac{3}{5}[/tex] and y-intercept -6

Slope-intercept form: [tex]\bold{y=\frac{3}{5}x-6}[/tex]

Standard form: [tex]\bold{3x-5y=30}[/tex]

c. Slope [tex]-\frac{3}{2}[/tex] and y-intercept 9

Slope-intercept form: [tex]\bold{y=-\frac{3}{2}x+9}[/tex]

Standard form: [tex]\bold{3x+2y=18}[/tex]

d. Slope -3 and y-intercept 0

Slope-intercept form: [tex]\bold{y=-3x}[/tex]

Standard form: [tex]\bold{3x+y=0}[/tex]

i forgot what the definition of y-axis and x-axis was

Answers

Answer:

y is the height and x is the length

Step-by-step explanation:

Remember when you're doing y and x axis y is height and x is length it works like coordinates.

Elsa is selling bracelets at craft shows to raise money for an animal shelter. She is also accepting additional cash donations. She plans to give 75% of the money from all bracelet sales and donations to the shelter. She will use the remaining money to buy more supplies. Bracelet sales and donations from the first craft show are represented by the expression 24n+32 , where n represents the amount Elsa charges for each bracelet. The second craft show sales and donations is represented by the expression 40n+56 . If Elsa charges $4 for each bracelet, how much money will she donate to the animal shelter?

Answers

Answer:

22-1n-3

Step-by-step explanation:

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

The amount donated to the animal shelter is $258

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

Percentage to donate to the shelter = 75%

The expression that shows the amount from the first and second craft shows.

24n + 32 _____(1)

40n + 56 ______(2)

Where n is the amount of each bracelet.

Now,

Cost of each bracelet = $4.

From (1) and (2) we get,

24 x 4 + 32 = 96 + 32 = 128

40 x 4 + 56 = 160 + 56 = 216

Now,

The total amount collected from both the craft shows.

= 128 + 216

= $344

The amount donated to the animal shelter.

= 75% of $344

= 75/100 x 344

= $258

Thus,

The amount donated to the animal shelter is $258

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ2

What is the equation of a line perpendicular to minus x plus 2 equal y that intersects the line at open parentheses minus 1. 5 comma space 3. 5 close parentheses ?.

Answers

The required equation of a line perpendicular is y = x + 5

Given the equation y = -x + 2, the slope of the line is -1

The slope of the line perpendicular will be m  -1/-1  = 1.

Given the point (-1.5, 3.5)

Substitute the slope and the point into the point-slope form of the equation expressed as:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-3.5=1(x-(-1.5))\\y-3.5=x+1.5\\y=x+1.5+3.5\\y=x+5[/tex]

Hence the required equation of a line perpendicular is y = x + 5

Learn more on equation of a line here: https://brainly.com/question/19417700

Find the missing fraction __ -3/4=2/3

Answers

Answer:

17/12

Step-by-step explanation:

x - 3/4 = 2/3

x = 2/3 + 3/4

x = 17/12

----------------

check

17/12 - 3/4 = 2/3

the answer is good

Solve the following system of equations using the substitution method.

x = 2y
2x + 5y = 9

Answers

(2 x 2y) + 5y = 9
4y + 5y = 9
9y = 9
y = 1

From the given system of equation x = 2y and 2x + 5y = 9, using the substitution method we get the value of y = 1.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

We have given system of equation

x = 2y

2x + 5y = 9

Using the substitution method

2(2y) + 5y = 9

4y + 5y = 9

9y = 9

y = 1

Learn more about solving equations here:

https://brainly.com/question/18015090

#SPJ2

Evaluate the expression when B=7 c=-7. c-6b

Answers

Answer:

7 - (6 x 7) = -35

Answer:

-7-6(7)= 35

7 - (6 x 7) = 35

i need help with this!!

Answers

Answer:

8x-4<-36+4

8x<-32

----

8

x<-4

Answer:x<-4

Step-by-step explanation:

you would have to show your work and do it step by step and and dont stress about it

i need help on all of this please

Answers

Answer:

Step-by-step explanation: the answer is 69-123

Help me pls you will get brainliest​

Answers

Answer: C

Look at the graph the lines meet at this point, this is the logical answer

5,3

Step-by-step explanation:

25)
Find the measure of each lettered angle.
The diagram is not drawn to scale.

Answers

Answer:

The Diagram is not showing

Step-by-step explanation:


I need help with this question it Is math ​

Answers

Answer:

.y+1=4(i-2)

Step-by-step explanation:

A line passes through (2, -1) and (4, 5).
-
Which answer is the equation of the line?
-3x+y=17
-3. + 5y = -13
-3x+y=-7
-3x+5y=13

Answers

Answer:

its c

Step-by-step explanation:

What is the answer plsss say the CORRECT answer

Answers

Answer: 40

Step-by-step explanation:

What is the answer for the explanation

Answers

Answer: You cannot figure out the value without any measurements or tools for that matter.

Step-by-step explanation:

Im blue ba da de ba da da

What point of concurrency in a right triangle is also the midpoint of the hypotenuse?

A. centroid
B. incenter
C. circumcenter
D. orthocenter

Answers

the correct answer is d, i got it right

The point of concurrency in a right triangle is also the midpoint of the hypotenuse is its circumcenter .

What is  point of concurrency?

A point of concurrency is a place where three or more, but at least three lines, rays, segments or planes intersect in one spot. If they do, then those lines are considered concurrent, or the the rays are considered concurrent.

What is Triangle Concurrency Points?

There are 4 different points of concurrency in the triangle are:

1. Circumcenter

The circumcenter is the point of concurrency of the perpendicular bisectors of all the sides of a triangle.

For an obtuse-angled triangle, the circumcenter lies outside the triangle.

For a right-angled triangle, the circumcenter lies at the hypotenuse.

2. Incenter

The incenter is the point of concurrency of the angle bisectors of all the interior angles of the triangle.

3. Centroid

The point where three medians of the triangle meet is known as the centroid.

4. Orthocenter

The point where three altitudes of the triangle meet is known as the orthocenter.

For an obtuse-angled triangle, the orthocenter lies outside the triangle.

According to the question

The point of concurrency in a right triangle is also the midpoint of the hypotenuse.

According to the Triangle Concurrency Points

For a right-angled triangle, the circumcenter lies at the midpoint of the hypotenuse.

Hence, The point of concurrency in a right triangle is also the midpoint of the hypotenuse is its circumcenter .

To know more about Triangle Concurrency Points here:

https://brainly.com/question/1603917

#SPJ2

What is the missing angle of the triangle 48° 58°

Answers

Answer:

74 degrees

Step-by-step explanation:

Start w/180 degrees. (The total measure of a triangle.) Then subtract 106 (the sum of the 2 known angles) from 180. We then get 74 degrees (The measure of the missing angle)

Help please
complete the missing information to write a subtraction problem for each number line.

Answers

Answer:

-0.8 (A) -2.25 (B) -2 (C) (Look at explanation to see answers for first bubbles.)

Step-by-step explanation:

A:

1.4 - 2.2 = -0.8

B:

-0.75 - 1.5 = -2.25

C:

-0.2 - 1.8 = -2

Answer:

A. 1.4 - (-0.8) = 2.2

B. -0.75 - (-2.25) = 1.5

C. -0.2 - (1.6) = -1.8

Step-by-step explanation:

i just took the test on edge, and got it right (pls mark me as brainliest)

Quadrilateral Properties
Match the properties to the shape. Properties may be used more than once and shapes may have more than one property.
MANY POINTS FOR HELPING PLEASE!!!

Answers

1. At the very top is 2 pairs of equal adjacent sides. In top left corner
I hope I helped somewhat!!

What is the product of ( 4 + 3 i ) and ( 12 − 2 i )

Answers

Answer:

Step-by-step explanation:

(4+3i)(12-2i)

48 - 8i + 36i - 6i^2

48 + 28i +6

54 + 28i

Sara needs to buy juice for the picnic. She selects a case of 24 cans of juice that costs a total of $8.00. What is the cost per can?

Answers

Step-by-step explanation:

24 cans cost $8.

so, 1 can is 1/24 if the total, and that applies then also to the price.

so, the cost of 1 can is 8/24 = 1/3 ≈ $0.33

Answer:

Cost per can = $0.33.

Step-by-step explanation:

8 / 24

= 1/3

= 0.333....

How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!

Answers

Answer:

A

Step-by-step explanation:

For every additional goodie bag, you're adding the original number to itself and so on...

Example:

1 Goodie bag = Candy: 2 Toys: 3

2 Goodie bags = Candy: 4 Toys: 6

3 Goodie bag = Candy: 6 Toys: 9

PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE HELP HELP HELP HELP HELP HELP ME ME ME ME ME ME ME ME ME ME ME !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

C

Find the value of the unknown value in the following equation
14x + 9 =79

PLZ HELP

Answers

Answer:

x = 5

Step-by-step explanation:

If I understood correctly, you are looking for x. you bring over the 9, which you subtract and are left with 14x=70. Then divide both sides by 14 and you get x=5. Also I'd recommend getting the Symbolab app.

First question: 3(x + 2)

If answered correctly- Brainliest
Second question:

Answers

3x+6 your welcome dude

Answer:

8 gumballs 3 jaw breakers or the required inequality expression is

0.50g + 0.30j ≤ 3

Step-by-step explanation:

welcome...

Other Questions
how are characters formed in the two methods of writing Find $73^{-1} \pmod{74}$, as a residue modulo 74. (Give an answer between 0 and 73, inclusive.) (PLZ DO THIS) at what location within a glacier is the ice flow the fastest? help with this graph please and thanks 7 x [(7 + 7) = 7Help plz What is the slope of a line perpendicular to the line whose equation is-2x+20y=6 A coconut cream pie recipe uses 6 ounces of crearn cheese, 12 ounces of condensed milk, and 10 ounces whipped topping In simplest form, how many ounces of cream cheese are there for every ounce of condensed milk? Which of the following Access objects provides a user-friendly data entry method?Select one:a. queryb. tablec. formd. report ILL MARK BRAINLIEST Select correct if the sentence is punctuated correctly. Select incorrect if it is not.Who can explain this passage from Madame Bovary"? asked Mr. Sonnenburg.A. correctB. incorrect 20. Which of the following groups tends to have higher levels of political participation?a. those employed in white collar industriesb. those with moderate levels of educationc. non-native born Americansd. those with income levels below the poverty linee. those with higher income levels A store makes $9500 a month in sales. They pay $3325 a month in rent. What percent of their sales is used to pay rent Please help me A?B?C?D? What does pie mean?I forgot ; ) True or False a person A person who exersices self dicpilne is taking a step towards improving his or her health how can you be happy while crying What are the factors of 14 and 7? To solve the system of linear equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 by using the linear combination method, Henry decided that he should first multiply the first equation by 3 and then add the two equations together to eliminate the x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite number of solutions. To check his answer, he graphed the equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 with his graphing calculator, but he could only see one line. Why is this? because the system of equations actually has only one solution because the system of equations actually has no solution because the graphs of the two equations overlap each other because the graph of one of the equations does not exist Graph the point (1, 5/2) on the coordinate plane.PLEASE HELP ASAP Please help me solve this ! I'm currently reading the book "the pearl" my teacher asked some questions on it and these few ones I'm not quite sure how to answer. I do not have a book with me and this assignment is tomorrow.In chapter 4 kino is attacked for the second time describe this attack. What phrase does Kino repeat to convince Juana that hes making the right decision in chapter 4?