1) Identify the volume of a rectangular pyramid with length 16 m, width 12 m, and height 17 m. 2) Identify the volume of a regular hexagonal pyramid with base edge length 8 in. and height 10 in. rounded to the nearest tenth. PLEASE HELP

1) Identify The Volume Of A Rectangular Pyramid With Length 16 M, Width 12 M, And Height 17 M. 2) Identify

Answers

Answer 1

Answer:

First problem: 1088 [tex]m^{3}[/tex]

Second problem: 554.3 [tex]m^{3}[/tex]

Step-by-step explanation: Please see the images below!

1) Identify The Volume Of A Rectangular Pyramid With Length 16 M, Width 12 M, And Height 17 M. 2) Identify
1) Identify The Volume Of A Rectangular Pyramid With Length 16 M, Width 12 M, And Height 17 M. 2) Identify
Answer 2

The volumes of both the pyramids are 1088 m³ and 554.3 in³.

What is volume?

The volume of a shape or solid is the space occupied by it, which also includes its height or depth.

a) To find the volume of the pyramid, first calculate the area of the base.

B = lw

Substitute 16 for l and 12 for w.

B = 16 ⋅ 12

Simplify.

B = 192 m²

To find the volume of the pyramid, use the formula for the volume of a pyramid.

V = 1/3 Bh

Substitute 192 for B and 17 for h.

V = 1/3 ⋅ 192 ⋅ 17

Simplify.

V = 1088 m³

Therefore, the volume of the rectangular pyramid is 1088 m³.

b) Similarly for the volume of a regular hexagonal pyramid with base edge length 8 in. and height 10 in.

Base area = 96√3 in²

Volume = 1/3 × 96√3 in² × 10 in

= 554.3 in³

Hence, the volumes of both the pyramids are 1088 m³ and 554.3 in³.

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Related Questions


A club is choosing 2 members to serve on a committee. The club has
nominated 3 women and 3 men. Based on chance alone, what is the
probability no women are chosen to be on the committee?

Answers

Answer: The probability that no women are chosen to be in the committee is 2/5 or 0.40.

Step-by-step explanation:

We have two positions, and we have 6 options for those positions, 3 are men, and 3 are women.

If we want to see the probability where no women are chosen, then this means that in the first selection a man is chosen.

If all the 6 nominees have the same probability of being chosen, then the probability that in the first selection a man is chosen is equal to the number of men divided the total number of nominees, this is:

p1 = 3/6 = 1/2.

Now the same happens for the second selection, but now we have 5 total nominees and 2 are men, so the probability now is:

p2 = 2/5

And the joint probability will be the product of the individual probabilities, then we have:

P = p1*p2 = (1/2)*(2/5)  = 2/5.

The probability that no women are chosen to be in the committee is 2/5 or 0.40.

The probability that no woman is chosen to be on the committee is 0.40.

Given

A club is choosing 2 members to serve on a committee.

The club has nominated 3 women and 3 men.

The number of ways to select two persons from 6 will be:

[tex]\rm = ^6C_2[/tex]

Therefore,

The probability that no woman is chosen to be on the committee is;

[tex]= \dfrac{1}{2} \times \dfrac{2}{5}\\\\= \dfrac{1}{5}\\\\=0.40[/tex]

Hence, the probability that no woman is chosen to be on the committee is 0.40.

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Pls help with the explanation and answer ty!

Answers

I’m sorry, the text is too small. But I hope you find your answer soon.
Karen bought 16 boxes of pencil

is 3 by 3=9 rational or inrational and why

Answers

Answer:

KCC off KCC off off egg LLC

Answer:

rational

Step-by-step explanation:

3by3=3/3

= 1

1 is not eq. to 9

and 3/3 is 1

and 1 is rational no.

Graph the line with slope -1/2
passing through the point (-2, 4).

Answers

This image should help with that.                                                

Help me ASAP plsssssssssssssssssssssssssssss

Answers

Answer:

B

Step-by-step explanation:

Answer: B. Recycling

Step-by-step explanation: Recycling is turning something like newspapers and making them into new products.

Mark Brainliest if you want!

What is 15 x minus 3 y = 0 written in slope-intercept form? y = 5x y = negative 5 x x = one-fifth y x = 5 y

Answers

Answer:

y=5x

Step-by-step explanation:

Answer:

y=5x

Step-by-step explanation:

Lila works 40 hours a week and earns $9 an hour . Her baby stays with a sitter during the hours Lila works . Lila pays the sitter $5 an hour . After paying the sitter , how much of her paycheck does Lila have left

Answers

Answer: $160

Step-by-step explanation: If she works 40 hours a week, than that is $360 a week, if she pays the sitter $5 a week, then that means she pays the sitter $200 a week.  Subtract and you get $160.  

What type of number is 3π+1?

Answers

Answer:

irrational

Step-by-step explanation:

I hope it helped you!!

Answer:

10.42478

Step-by-step explanation:

In 1970, a farmer using a two-row combine with a corn head could easily harvest 0.75 ha (1.85 acres) per hour and a typical corn yield was 5000 kg/ha (80 bu/acre). Before 1940, most corn was harvested by hand and a skilled person could harvest 250 kg/h (10 bu/h). Calculate the productivity ratio.

Answers

Answer:

The value is [tex]w = 6.7 \%[/tex]

Step-by-step explanation:

Generally the productivity rate is mathematically represented as

[tex]P_r = K * Z[/tex]

Here K is the ha the farmer could harvest in an hour and Z is a typical yield of corn in kg/ha

Now considering 1970

The productivity rate is

[tex]P_r = 0.75 *5000[/tex]

=> [tex]P_r = 3750 \ kg/h [/tex]

Now considering 1940

The productivity rate is given as [tex]P_R = 250 \ kg/h [/tex]

Generally the productivity ratio is mathematically ration is mathematically represented as

[tex]w = \frac{P_R}{P_r} * 100[/tex]

=> [tex]w =  \frac{250}{3750}  * 100[/tex]

=> [tex]w = 6.7 \%[/tex]

solve integers -32+ 10

Answers

Answer:

-22

Step-by-step explanation:

You have to add -32+10

and you will get the answer -22

Answer:

-22

Step-by-step explanation:

On a number line, negative numbers go left and posative numbers go right. So on a numberline, if you find -32 and jump ten spaces to the right, you land on -22

The expression that represents the area of this rectangle is . When b = 10, the area of the rectangle is square units.

Answers

Answer: 8b and 80

Step-by-step explanation: H3h3

The Area of Rectangle is 80 unit².

What is Area of rectangle?

The Area of rectangle is the product of its length to its width.

Area of rectangle = length x width

Given:

Expression that represents the area of this rectangle is 8b.

Now, b = 10

As, area of rectangle = l x w

area of rectangle = 8b

area of rectangle = 8 x 10

area of rectangle = 80 unit².

Hence, the area is 80 unit².

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Find the midpoint of the line segment with the given endpoints (-1,-6) (-6,5)

Answers

The correct answer is (-7/2,-1/2) or (-3.5,-0.5)  To find the midpoint of a segment, add both "x" coordinates, divide by 2.  Then add both "y" coordinates, and divide by 2

A car rental agency advertised renting a car for $26.95 per day and $0.24 per mile. If Kevin rents this car for 3 days, how many whole miles can he drive on a $250 budget?
miles (Round down to the nearest whole mile.)

Answers

Answer: 26.95 * 3 = 80.85

              250/0.24 = 60

             

Find the surface area of a square pyramid if the area of the base is 324 cm squared and the height is 40 cm.

Answers

Answer:

height h = 324 cm

slant height s = 324.61669704438 cm

side length a = 40 cm

lateral edge length e = 325.23222472566 cm

1/2 side length r = 20 cm

volume V = 172800 cm^3

lateral surface area L = 25969.33576355 cm^2

base surface area B = 1600 cm^2

total surface area A = 27569.33576355 cm^2

Step-by-step explanation:

Total Surface Area of a square pyramid:

A = L + B = a^2 + a√(a^2 + 4h^2))

A = a(a + √(a^2 + 4h^2))

Agenda:

h = height

s = slant height

a = side length

e = lateral edge length

r = a/2

V = volume

L = lateral surface area

B = base surface area

A = total surface area

Need help -5(1+2k)-8(-4+5k)

Answers

Answer:

27 - 50k

Simplify

1. Distribute

-5 ( 1 + 2k ) - 8 ( -4 + 5k )

-5 - 10k - 8 ( -4 + 5k )

2. Distribute

-5 - 10k - 8 ( -4 + 5k )

-5 - 10k + 32 - 40k

3. Add the numbers

-5 - 10k + 32 - 40k

27 - 10k - 40k

4. Add the same term to both sides of the equation

27 - 10k - 40k

27 - 50k

The drama club spent $8.50 per person on food for a cast party. The total cost of the flood was $229.50. How many people were at the cast party?

Answers

Answer:

229.50 ÷ 8.50= 27 people

find the value of x so that f (x)=7

Answers

Answer:

i think its 24

Step-by-step explanation:

A tourist information center is between a bus station and a train station. When mapped on a grid, the tourist information center is located at (1,4) and the bus is located at (-3,7) The train station is located at point

Answers

Answer: The train station is located at point (5,1).

Step-by-step explanation:

Given: On a grid, information center is located at (1,4) and the bus is located at (-3,7).

A tourist information center is between bus station and train station.

i.e.  tourist information center is a mid point  of line joining bus station and  train station.

Midpoint between (a,b) and (c,d) is given by :-

[tex](x,y)=(\dfrac{a+c}{2},\dfrac{b+d}{2})[/tex]

Let (a,b) be the coordinates of train station , then

[tex](1,4)=(\dfrac{-3+a}{2},\dfrac{7+b}{2})\\\\\Rightarrow\ 1=\dfrac{-3+a}{2}\ \ \ , 4=\dfrac{7+b}{2}\\\\\Rightarrow\ 2=-3+a\ \ \ , 8=7+b\\\\\Rightarrow\ 2+3=a\ \ \ , 8-7=b\\\\\Rightarrow a= 5,\ \ b=1[/tex]

Hence, the train station is located at point (5,1).

A manufacturing company plans to progressively increase its production capacity over the next few quarters. (A quarter is a period of three months.) The increase in production can be modeled by the equation y = x6 − 25x4 + 199x2, where x is the number of quarters. What is the minimum duration required for the company to reach a production capacity of 4,975 units?

Answers

Answer:

  5 months

Step-by-step explanation:

We assume that y represents production capacity, rather than increase in production capacity. Then we want to solve the 6th-degree equation ...

  x^6 -25x^4 +199x^2 -4975 = 0

This can be factored in groups as ...

  x^4(x^2 -25) + 199(x^2 -25) = 0

  (x^4 +199)(x^2 -25) = 0

This has 4 complex solutions and 2 real solutions.

  x^2 = 25

  x = ±5

The duration required for capacity to reach 4975 units is 5 months.

Is 7.0001 is terminating or repeating decimals

Answers

Answer:

it is terminating

Step-by-step explanation:

Consider a situation that you might need to use your understanding of probability to make an informed decision.

Answers

When considering entering the lottery or paying to play a game at a carnival.

Can someone explain aswell

Answers

Answer:

24 ft²

Step-by-step explanation:

find the length of the base of each triangle through a² + b² = c², c being hypotenuse.

after finding the length of each individual base, use A= 1/2bh (multiply base and height and then divide by 2) to calculate area of each triangle. then add and round. hope this helps

The square of a number is that number ___________________________________. The square of an integer is a _________________________.
The square of negative 12 is written as _______________. The opposite of the square of 12 is written as ______________.
2 • 2 = 4. Another number that can be multiplied by itself to equal 4 is _______.
2. Fill in the blanks with square root or principal square root.
A ___________________________________ is a number that produces a given number when it is multiplied by itself.
The ___________________________________ is the positive square root of a number and is shown using the radical symbol, √.
3. Complete the table to describe perfect cubes.
Definition A number multiplied by itself _______ times.
Examples 13 = 1 • 1 • 1 = _____
23 = _____ • _____ • _____ = 8
_____3 = 4 • 4 • 4 = _____
4. Answer the questions about cube roots.
What is a cube root?



Use the radical symbol to represent the cube root of 8.


What is the cube root of –8?



Main idea: Solving equations by taking the square root
5. Complete the steps to show how to solve x2 = 36.

6. Answer the questions about Ally's web page icons as you work through the problem in the study.
Each icon contains 1024 pixels arranged in rows. What does p represent in the equation p2 = 1024?




What is the first step in solving p2 = 1024?




Why doesn't the solution p = –32 make sense for this problem?





Main idea: Solving equations by taking the cube root
7. Solving an equation in the form x3 = p is similar to solving equations with squared terms. Complete the table to show the differences.

x2 = p x3 = p
To solve: Take the square root.

Number of solutions and their sign(s): Two solutions. One is positive and one is negative.

Example:


8. Answer the questions about Tanisha's baking supply container as you work through the problem in the study.
The volume of the salt container is 125 cm3. What does x represent in the equation x3 = 125?



What is the first step in solving x3 = 125?



Is x = –5 a solution to the equation? Why or why not?




Key Terms
Use this table to write definitions for the key terms from this activity in your own words. If you're confident you know a term, put a check mark next to it and move on.

Key Term Definition
cube

cube root

integer



inverse operations

perfect square

principal square root

square

square root

I











Answers

Did you just copy and paste your assignment??

If yes, please do not do such a thing and give it in a question by question basis, sorry but I can't type such a big one. Suggestion!!

How many terms of the series of - 3+0+3+6+9+...are needed to give a sum of 105?​

Answers

Answer:

10

Step-by-step explanation:

Remember that the formula for the sum of an arithmetic series is:

[tex]S=\frac{k}{2}(a+x_k)[/tex]

Where k is the number of terms, a is the initial term, and x_k is the last term of the series.

We essentially want to find k, the number of terms, given that the sum S is equal to 105. So, substitute 105 into our equation:

[tex]105=\frac{k}{2}(a+x_k)[/tex]

To do so, we need to final term x_k. We don't know what it is yet, but that doesn't matter. All we need to do is to write it in terms of k. First, remember that the standard form for the explicit formula of an arithmetic sequence is:

[tex]x_n=a+d(n-1)[/tex]

Where a is the first term, d is the common difference, and n is the nth term.

From our sequence, we can see that the first term is -3.

Also, we can determine that our common difference is +3, since each subsequent term is 3 more than the previous one. -3+3 is 0, 0+3 is 3, 3+3 is 6, and so on.

Therefore, our explicit formula is:

[tex]x_n=-3+3(n-1)[/tex]

Therefore, our final term, x_k, will be if we substitute k for n. So, we can acquire the equation:

[tex]x_k=-3+3(k-1)[/tex]

Now that we know what x_k is, we can substitute that into our original equation:

[tex]105=\frac{k}{2}(a+x_k)[/tex]

Substitute the equation into x_k. Also, let's substitute -3 (our first term) for a. So:

[tex]105=\frac{k}{2}(-3+(-3+3(k-1)))[/tex]

And now, all we have to do is to solve for k.

First, distribute the 3:

[tex]105=\frac{k}{2}(-3+(-3+3k-3))[/tex]

Add within the parentheses:

[tex]105=\frac{k}{2}(3k-9)[/tex]

Multiply both sides by 2. This removes the fraction on the right:

[tex]210=k(3k-9)[/tex]

Distribute. We will get a quadratic:

[tex]210=3k^2-9k[/tex]

So, let's solve for k. Let's divide everything by 3:

[tex]70=k^2-3k[/tex]

Subtract 70 from both sides:

[tex]0=k^2-3k-70[/tex]

Factor. We can use -10 and 7. So:

[tex]0=(k-10)(k+7)[/tex]

Zero Product Property:

[tex]k-10=0\text{ or } k+7=0[/tex]

Solve for k for each equation:

[tex]k=10\text{ or } k=-7[/tex]

-7 doesn't make sense (we can't have -7 terms). Remove that solution. So, we are left with:

[tex]k=10[/tex]

Therefore, the number of terms we have in our series for our sum to be 105 is 10.

And we're done!

1-89. On graph paper, draw the quadrilateral with vertices A(–1, 3), B(4, 3), C(–1, –2), and D(4, –2). a. What kind of quadrilateral is this?

Answers

Answer:

it is a square

because

as we can see in the graph the

distance from A to B is 5 cm

distance from B to C is 5 cm

distance from C to D is 5 cm

distance from D to A is 5 cm

please mark me as the brainliest I really need it

Point C divides AB into two segments with lengths that form which ratio?
А с B
HH
15 20 25 3035
AHH

Answers

Answer:2:3

Step-by-step explanation:

Classify the equation as a conditional equation, an identity, or a contradiction. 6x−10−8=9+4x−4x

Answers

Step-by-step explanation:

this is your answer.........

Answer:

conditional equation

Step-by-step explanation:

Collecting terms on both sides, we get

6x−10−86x−18=9+4x−4x=9

Adding 18 to both sides of the equation, we get

6x=27

This can be solved by dividing by 6 on both sides of the equation, which gives a unique solution of 92. So, this is a conditional equation.

Find the midpoint of the line segment with the given endpoints (-3,1 -2,8) (-4.92,-3.3)

Answers

(2,-2), (3,-3)
(1,1) , (3,3)
(2,4), (-3,-3)



Approximtely how many 27cubic volume cabinets will a container98,000cbic volume hold?

Answers

Answer: 3630

Step-by-step explanation:

Given that:

Volume of container = 98,000 cubic volume

Volume of cabinet = 27 cubic volume

The number of cabinets which the container will. Hold equals:

Volume of container / volume of cabinet

= 98000 cubic volume / 27 cubic volume

= 3629.6296

The container will hold approximately 3630 27 cubic volume of cabinet.

Which of the following sets are subspaces of R3 ?
A. {(x,y,z)|3x+8y-5z=2}
B. {(x,y,z)|-4x-9y+7z=0}
C. {(x,y,z)|x D. {(-4,y,z)|y,z arbitrary numbers}
E. {(x,0,0)|x arbitrary number}
F. {(-2x,-3x,-8x)|x arbitrary number}

Answers

Answer:

The following are the solution to the given points:

Step-by-step explanation:

for point A:

[tex]\to A={(x,y,z)|3x+8y-5z=2} \\\\\to for(x_1, y_1, z_1),(x_2, y_2, z_2) \varepsilon A\\\\ a(x_1, y_1, z_1)+b(x_2, y_2, z_2) = (ax_1+bx_2,ay_1+by_2,az_1+bz_2)[/tex]

                                        [tex]=3(aX_l +bX_2) + 8(ay_1 + by_2) — 5(az_1+bz_2)\\\\=a(3X_l+8y_1- 5z_1)+b (3X_2+8y_2—5z_2)\\\\=2(a+b)[/tex]

The set A is not part of the subspace [tex]R^3[/tex]

for point B:

[tex]\to B={(x,y,z)|-4x-9y+7z=0}\\\\\to for(x_1,y_1,z_1),(x_2, y_2, z_2) \varepsilon B \\\\\to a(x_1, y_1, z_1)+b(x_2, y_2, z_2) = (ax_1+bx_2,ay_1+by_2,az_1+bz_2)[/tex]

                                             [tex]=-4(aX_l +bX_2) -9(ay_1 + by_2) +7(az_1+bz_2)\\\\=a(-4X_l-9y_1+7z_1)+b (-4X_2-9y_2+7z_2)\\\\=0[/tex]

[tex]\to a(x_1,y_1,z_1)+b(x_2, y_2, z_2) \varepsilon B[/tex]

The set B is part of the subspace [tex]R^3[/tex]

for point C: [tex]\to C={(x,y,z)|x<y<z}[/tex]

In this, the scalar multiplication can't behold

[tex]\to for (-2,-1,2) \varepsilon C[/tex]

[tex]\to -1(-2,-1,2)= (2,1,-1)[/tex] ∉ C

this inequality is not hold

The set C is not a part of the subspace [tex]R^3[/tex]

for point D:

[tex]\to D={(-4,y,z)|\ y,\ z \ arbitrary \ numbers)[/tex]

The scalar multiplication s is not to hold

[tex]\to for (-4, 1,2)\varepsilon D\\\\\to -1(-4,1,2) = (4,-1,-2)[/tex] ∉ D

this is an inequality, which is not hold

The set D is not part of the subspace [tex]R^3[/tex]

For point E:

[tex]\to E= {(x,0,0)}|x \ is \ arbitrary) \\\\\to for (x_1,0 ,0) ,(x_{2},0 ,0) \varepsilon E \\\\\to a(x_1,0,0) +b(x_{2},0,0)= (ax_1+bx_2,0,0)\\[/tex]

The  [tex]x_1, x_2[/tex] is the arbitrary, in which [tex]ax_1+bx_2[/tex]is arbitrary  

[tex]\to a(x_1,0,0)+b(x_2,0,0) \varepsilon E[/tex]

The set E is the part of the subspace [tex]R^3[/tex]

For point F:

[tex]\to F= {(-2x,-3x,-8x)}|x \ is \ arbitrary) \\\\\to for (-2x_1,-3x_1,-8x_1),(-2x_2,-3x_2,-8x_2)\varepsilon F \\\\\to a(-2x_1,-3x_1,-8x_1) +b(-2x_1,-3x_1,-8x_1)= (-2(ax_1+bx_2),-3(ax_1+bx_2),-8(ax_1+bx_2))[/tex]

The [tex]x_1, x_2[/tex] arbitrary so, they have [tex]ax_1+bx_2[/tex] as the arbitrary [tex]\to a(-2x_1,-3x_1,-8x_1)+b(-2x_2,-3x_2,-8x_2) \varepsilon F[/tex]

The set F is the subspace of [tex]R^3[/tex]

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