Blank 1: The Base Area (B) of the pyramid is _ cm2. --> Area = (1/2)ap


Blank 2: The height (h) of the pyramid is _ cm.


Blank 3: The Volume (V) of the pyramid is _ cm3.


Use the formula V = (1/3)Bh to find the volume of the hexagonal pyramid.

Answers

Answer 1

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the dimensions of the hexagon are not given.

I will assume that:

[tex]b = 6[/tex] --- base length

[tex]h = 8[/tex] --- height

First, we calculate the height (a) of each triangle that makes the hexagonal base

The formula to use is:

[tex]a^2 = b^2 - (\frac{b}{2})^2[/tex]

[tex]a^2 = 6^2 - (\frac{6}{2})^2[/tex]

[tex]a^2 = 6^2 - (3)^2[/tex]

[tex]a^2 = 36 - 9[/tex]

[tex]a^2 = 27[/tex]

Take positive square roots

[tex]a = \sqrt{27[/tex]

Expand

[tex]a = \sqrt{9*3[/tex]

Split

[tex]a = \sqrt{9}*\sqrt3[/tex]

[tex]a = 3\sqrt3[/tex]

So, we have:

[tex]Area = \frac{1}{2}ap[/tex]

Where

[tex]a = 3\sqrt3[/tex]

[tex]p =perimeter[/tex]

[tex]p = 6 * b[/tex] ---- 6 represents the sides of the hexagon

[tex]p = 6 * 6[/tex]

[tex]p = 36[/tex]

[tex]B= \frac{1}{2}ap[/tex]

[tex]B= \frac{1}{2} * 3\sqrt 3 * 36[/tex]

[tex]B= 3\sqrt 3 *18[/tex]

[tex]B = 54\sqrt 3[/tex]

[tex]h = 8[/tex]

Lastly, the volume is:

[tex]V = \frac{1}{3}Bh[/tex]

So:

[tex]V = \frac{1}{3} * 54\sqrt3 * 8[/tex]

[tex]V = 18\sqrt3 * 8[/tex]

[tex]V = 144\sqrt3[/tex]


Related Questions

Which is equivalent to
(102)1/22
A. 10
B. 50
O c. /20
OD. /105

Answers

the answer is A) 10

What is the sum of 103 and h?​

Answers

Answer:

4.02

Step-by-step explanation:

the 4.08 and a pie got married then their did would be 4.02 because of an equalities property.

Answer:

I believe the answer is not 4.02, but... 103+h=

Step-by-step explanation:

What is the answer to this question?

Answers

See the picture below

Answer:

10

Step-by-step explanation:

70-30=40

50-40=10

fsgsgsgdg

Solve the following expression when
x = 7 and y = 2
(y + 2). (x + 4 - 5)

Answers

Answer:
4 and 23

Explanation:
P
E
M
D
A
S

Which equation is represented by the graph below?
10
10 8 5-4-2
2
В
8
10X
10
0 x = 2 x - 3
O y=x-9

Answers

The equation for that is y=2/3x+6

What are the solutions of 2x^2 + 7x = 4
½
4

-4
7
-7

Answers

I got -1/2 and -4 as the solutions.
explication;for a polynomial of the form ax 2 + b X + c, rewrite the middle term as a sum of two terms whose product is a c = 2 ⋅ - 4= -8 and whose sum is b = solution;

Identify the graphed linear question.
A. y=5x+2
B. y=5x-2
C. y= -5x+2
D. y= -5x-2

Answers

Answer:

The answer is: y= -5x-2

Step-by-step explanation:

I hope it help.

please help this answer is very important

Answers

Answer:

option 4

2

Step-by-step explanation:

1 Litre = 1000 mililitre

so,

2 litres = 2000 mililitres

NEED HELP ASAP, WILL GIVE BRAINLIEST

The entire graph of the function f is shown in the figure below. Write the domain and range of f using interval notation.​

Answers

domain: [-5, 5)
range:(-4,4]
hope this helps

Given y varies inversely as x, and y = 5 when x = 9. Write the inverse function

Answers

Answer:

y = 45/x

Step-by-step explanation:

Given y varies inversely as x, then;

y = k/x

If y = 5 when x = 9

5 = k/9

k = 5*9

k = 45

Substitute into the formula above;

y = k/x

y = 45/x

Hence the required inverse function is y = 45/x

PLEASE HELP ME I AM BEING TIMED, I WILL MARK BRAINLIEST FOR WHOEVER GETS THIS RIGHT, WITH AN EXTRA 10 POINTS.

Answers

Answer:

43.98

Step-by-step explanation:

did some quick maths

c=2

[tex]c = 2 \times \pi \times r[/tex]

What are the solutions of the equation 3x^2 +13x=10 ?

Answers

X= 2/3 and negative 5

HELP ASAP, LINKS AND ABSURD ANSWERS WILL BE REPORTED! I WILL MARK BRAINLIEST!!

Answers

Answer:

5/3 or 3/5

Step-by-step explanation:

MRK ME BRAINLIEST PLZ

Correct I’ll give brainlist no links or I’ll report

Answers

It’s the second one…………..

If a line falls on the points (1, 2) and (8,7), what is its slope? Enter your answer as a fraction in lowest terms. Use a slash mark (/) as the fraction bar.​

Answers

Answer:

m= 5/7

Step-by-step explanation:

y2-y1 / x2-x1

7-2/8-1

5/7

if the radius is 3.345 what is the diameter

Answers

Answer:

6.69

Step-by-step explanation:

the radius is from the outside of the circle to the center and the diameter is completely through so you would times 3.345 by 2 to get 6.69 which is your diameter

Answer:

6.69

Step-by-step explanation:

radius is D/2

therefore, r =d/2

so therefore, 2×r=d

that is: 2×3.345 = 6.69

You have no more than 15 hours this week to spend reading a book and
writing in your journal. Write and graph an inequality describing the
possible amounts of time you can spend reading and writing this book.

Answers

from monday to friday you can read 3 hours a day reading and writing

3x+2y=12 2x-3y=21 elimination please solve with answer and steps

Answers

Answer:

(6,-3)

or

x=6 y= -3

Step-by-step explanation:

Taking a quick look at this question we notice that we simply cannot add/subtract the two equations and eliminate a variable

What we can do is mulitply an equation to make the above true

let's try to get the first equation to have a 3y, and we can do this by multiplying it by 1.5 (this is legal because we do it to both sides)

So our new first equation is

1.5(3x+2y)=12*1.5

which simplifies to

4.5x+3y=18

We then add the two equatiosn

(4.5x+3y)+(2x-3y)=18+21

6.5x=39

x=6

Now that we know x we can plug that in and solve for y

3(6)+2y=12

18+2y=12

-6=2y

y= -3

Every dimension of a triangular pyramid is multiplied by 10 to produce a new figure that is geometrically similar. What effect does this have on
the surface area of the pyramid?
ОА
The surface area of the pyramid is multiplied by 10.
OB.
The surface area of the pyramid is multiplied by 50.
O C.
The surface area of the pyramid is multiplied by 100.
OD.
The surface area of the pyramid is multiplied by 1,000.
O E
The effect on the surface area cannot be determined.

Answers

B isssssssssss daaaaaa wnswereeer

Jake has a 34% batting average. If Jake gets up to bat 10 times in one game, what is the BEST estimate of how many times he will hit the ball?

Answers

Answer:

Approximately 3 times, Jake will be able to hit the ball in a game of 10 balls

Step-by-step explanation:

Batting average determine the % share of time the bat hit the ball.

Jake's probability of hitting a ball = 0.34

Jake plays 10 games.

Probability of hitting a ball in a game is

10 * 0.34 = 3.4

Approximately 3 times, Jake will be able to hit the ball in a game of 10 balls

A 4-cup bottle of shampoo costs $24.84. What is the price per pint?

Answers

$20.28

hope its helpfull .....

The top and bottom shelves of a triangular shelving unit are similar triangles. The shortest and longest sides of the larger shelf are 16.5 inches and 22.5 inches long. (24 POINTS PLS HELP) The longest side of the smaller shelf is 15.75 inches long. How long is the shortest side of the smaller shelf?

A. 11.45 inches
B. 11.55 inches
C. 24.48 inches
D. 23.57 inches

Answers

Answer:

Its B

Step-by-step explanation:

It’s B I think 11.55 inches .

Please HELPPPP I need this right now!

Answers

Answer:

The radius will be half of your diameter so,

since 26 is your diameter half of that is = 13 is your new radius.

Now finding the area:

13^2 = 169

169 x 3.14 = 530.66 cm2 is your area.

Formula of an area of a circle:

πr^2

pi(3.14 or 22/7 depending on whatever they tell you to use for pi) x radius being squared

Can someone explain to me what 8√42 ÷ 2√7 is?

Answers

Answer:

Step-by-step explanation:

8√42 ÷ 2√7 is 8√42/2√7 in a fraction form

you want to take the square root out of the denominator, and so you would multiply the denominator by the numerator and itself.

8√42/2√7 * 2√7/2√7 = 4√6

3x-8y=24
y=x-8
Please show
work

Answers

Answer:

3x - 8y = 24   --------(1)

y = x - 8  ---------(2)

substitute  y in (1)

3x - 8( x - 8) = 24

3x - 8x + 64 = 24

-5x = 24 - 64

-5x = -40

5x = 40

x= 8

substitute x in (2)

y = 2 - 8

y = - 6

Answer:

x = 8, and y = 0

Step-by-step explanation:

We can solve this by taking y as (x-8), as it states there.

Since y is equal to x-8, we can rearrange the system of equations into one single equation.

We can multiply y by 8, as it shows in the first equation, which is something like 8x-64.

Since it is a negative 8 being multiplied by y, it would be the inverse of 8x-64, which is -8x+64.

We can now organize our equation here.

3x - 8x + 64 = 24.

We can use subtraction property of equality by subtracing 64 from both sides to get rid of it.

We will get something like:

3x - 8x + 64 - 64 = 24 - 64.

Simplify by solving like terms like the x value and the integers.

-5x = -40

Divide both sides with division property of equality:

-5/5x = -40/5

x = 8

We can then plug the 8 back into x, lets use the second equation because I'm lazy and it looks the easiest to solve for.

y = (8) - 8

y = 0

Therefore, x = 8, and y = 0.

HELP ME PLZ AN DTHANK YOU

Answers

Answer:

6(2 + 2/3x) = 12 + 4x

Step-by-step explanation:

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

Answer:

6(2 + [tex]\frac{2}{3}[/tex] x ) = 12 + 4x

Step-by-step explanation:

Note that

6 × [tex]\frac{2}{3}[/tex] = 4

Then

6(2 + [tex]\frac{2}{3}[/tex] x ) ← is the required expression

an square has an area of 54 sq in . the length of each side is the same but not a whole number

Answers

Answer:

Answer = 13.5

Step-by-step explanation:

A square has 4 sides

54 / 4 = 13.5

The side of the square will be 7.34 inches.

What is an area?

A square is a quadrilateral having all the sides equal to each other and the sum of the angles will be 360 degrees. The area is defined as the space occupied by the shape in a two-dimensional plane.

Given that a square has an area of 54 sq in . the length of each side is the same.

The side of the square will be calculated as below:-

Area of square = Side²

54 = Side²

Side = √54

Side = 7.34 inches.

Therefore, the side of the square will be 7.34 inches.

To know more about an area follow

https://brainly.com/question/11444061

#SPJ5

Cora is using successive approximations to estimate a positive solution to
f
(
x
)
=

g
(
x
)
, where
f
(
x
)
=
x
2
+
13
and
g
(
x
)
=
3
x
+
14
. The table shows her results for different input values of
x
.

Answers

By successive approximations we find that [tex]x \approx 3.3[/tex] for [tex]f(x) = g(x)[/tex].

How to find a solution of two functions by direct inspection

According to the table, the value of [tex]x[/tex] must be between 3 and 3.5. [tex]x[/tex] is the solution of [tex]f(x) = g(x)[/tex] if and only if [tex]f(x) - g(x) = 0[/tex]. Let suppose that [tex]x = 3.3[/tex], then:

[tex]3.3^{2}+13 = 3\cdot (3.3) + 14[/tex]

[tex]-0.01[/tex]

As we need only two decimals, approximation seems to be reasonable.

By successive approximations we find that [tex]x \approx 3.3[/tex] for [tex]f(x) = g(x)[/tex]. [tex]\blacksquare[/tex]

Remark

Statement is incomplete and incorrectly formatted, correct form is presented below:

Cora is using successive approximations to estimate a positive solution to [tex]f(x) = g(x)[/tex], where [tex]f(x) = x^{2}+13[/tex] and [tex]g(x) = 3\cdot x + 14[/tex]. The table shows her results for different input values of [tex]x[/tex]:

x         f(x)           g(x)

 0         13             14

 1          14             17

 2         17             20

 3         22            23

 4         29            26

3.5     25.25       24.5

To learn more on numerical methods, we kindly invite to check this verified question: https://brainly.com/question/19034634

hi! please help i’ll give brainliest

Answers

Answer:

third option mechanical weathering

Step-by-step explanation:

in mechanical weathering it breaks the rock into smaller pieces . these smaller pieces are just like the bigger rock , just smaller .

Answer: Mechanical weathering

Step-by-step explanation:

(a) Fill in the tavle below to complete the proability distrubution of X
x 1 2 3 4
P(x) 0.3 0.2 ? 0.4
(b) compute the mean of random variable x

Answers

Answer:

2.6

Step-by-step explanation:

Given :

x 1 2 3 4

P(x) 0.3 0.2 ? 0.4

Σp(x) = 1

Hence, 0.3 + 0.2 +? + 0.4 = 1

0.9 +? = 1

? = 1 - 0.9

? = 0.1

For the mean :

E(X) = ΣX*P(X)

(1 * 0.3) + (2 * 0.2) + (3 *0.1) + (4* 0.4)

0.3 + 0.4 + 0.3 + 1.6 = 2.6

Hence, the mean = 2.6

Other Questions
1) If a card is drawn from a pack of 52 cards of which 26 are black (13 spades A, 2, 3,, 10, J, Q, K); 13 are clovers); and 26 are red (13 hearts and 13 diamonds), find the probability of:a) that the letter is a K.b) that the card is red.c) That the card is diamond. HELP What is the equation of the trend line in the scatter plot ? Which of the following are solutions to the equation below?Check all that apply.4x2 - 81 = 0 Data collected for 300 fish for north atlantic. The length of the fish (in cm) is summarized in the histogram below. John Scopes challenged a Tennessee law by teaching what in a biology class?A. CreationismB. NativismC. EvolutionD. Relativity A project has a discount rate of 14 percent, an initial cost of $99,200, an inflow of $56,400 in year 1 and an inflow of $75,900 in year 2. Your boss requires that every project return a minimum of $1.10 for every $1 invested. Based on this information, what is your recommendation on this project? How long has La Soufrire been active? Plz help! No link plz! I need to finish fast! A speaker says:You know, dinner is taking, like, forever to cook, and I'm starving.Which of the following is the correct way to transcribe this according to our Clean Verbatim Style Guide?A) Dinner is taking forever to cook, and I'm starving.B) You know, dinner is taking, like, forever to cook, and I'm starving.C) Dinner is taking, like, forever to cook, and I'm starving. The legal process for selling your property to help pay debts is called1.bankruptcy2.grace period3.foreclosure4.credit report Romeo and Juliet Please help me for god please help me i really need help me please help me pleaseDefining a Shakespearean Tragedy is not as simple as just saying that it is a story that ends sadly or with a death. A Shakespearean tragedy is defined as a play written by William Shakespeare that tells the story of a seemingly heroic figure whose major character flaw causes the story to end with his tragic downfall.In a complete MEAL paragraph, explain how Romeo and Juliet can be considered a tragedy. Be sure to identify the tragic flaw (the negative character trait) that Romeo and Juliet have in their characters that leads them to their early downfalls. Include clear reasoning and evidence. Consider this microscopic image of bacteria.Rod-shaped bacteria is shown.Based on its shape, what is most likely the form of this bacteria?coccusstaphusbacillusspirill x ( x + 4 ) 3 = 4 ( x + 19.5 ) list the five major functions of the skeletal system Which state was admitted to the union on March 4, 1791? HELP PLSSSS Challenge A bag contains pennies, nickels dimes, and quarters. There are 50 coins in all of thecoins 18% are pennies and 40% are dimes. There are 2 more nickels than pennies. How muchmoney does the bag containThe bag contains S An employee put $5,000.00 in a retirement account that offers 9% interest compoundedannually. The employee makes no additional deposits or withdrawals. Which amount is closestto the interest the employee will have earned at the end of 5 years? Find the volume and surface area of a rectangular box 3 ft by 1.2 ft by 6 ft The volume is 21.621.6 cubic feet. (Round to the nearest tenth as needed.) The surface area is nothing square feet. (Round to the nearest integer as needed.) True or False. Can Metalloids conduct electricity under certain conditions? Ser & estar doctor and place