Let V be the volume of the pyramid of height 11 whose base is a square of side length 6. Find a formula for the area A of the horizontal cross section at a height y.

Answers

Answer 1

Answer:

Base area = 36

Volume of the pyramid = 132

Step-by-step explanation:

Volume of a pyramid = Base Area × Height/3

Base area = Length × Length (since base of the pyramid is a square)

Given the side length of the square = 6

Base area = 6×6

Base area = 36

Given height of pyramid =11

Volume of the pyramid = 36×11/3

Volume of the pyramid = 12×11

Volume of the pyramid = 132


Related Questions

Given f(x)=18x +8, find x when f(x) =14

Answers

Answer:

x=1/2 or x=0.5

Step-by-step explanation:

14=18x+8 so 18x =6 so x=1/2

Answer:

x = 1/3

Step-by-step explanation:

14 = 18x + 8

Subtract 8 from both sides.

6 = 18x

Divide both sides by 18.

6/18 = x

Simplify.

1/3 = x

The sweet shoppe sells a half dozen cupcake for $16.50. The cupcake factory sells a dozen cupcake for $30.00. Jameska purchases two cupcake from each shop what is the different in the purchases

Answers

Answer:

1.50 is the answer

Step-by-step explanation:

yeah I had it on a question yw

Answer:

eggffdf

Step-by-step explanation:

sfdsffgfddfdkkhsdghskjgfhjgdfjhdgdhdsdfh

Toby works at an amusement park. He loads 10 new passengers onto the roller coaster every
3/4
of a minute. At what rate does Toby load passengers?

Pleaseeee

Answers

Answer:

13 1/3

Step-by-step explanation:

im sure this is right btw

For this question What is 4f-9-f+15

Answers

Answer:

3f+6

Step-by-step explanation:

To solve this, we combine like terms which are in this case 4f and f.  4f-9-f+15 is (4f-f)+(-9+15), which we simplify to 3f+6.

Hanna lost 4 points on a test and earned 4 points on an extra-credit question​

Answers

Answer:

the total points earned and lose cancel eachother out to be 0. she did not lose any points

Answer:

the total points earned and lose cancel eachother out to be 0. she did not lose any points

Step-by-step explanation:

Its late and i need this pls









Gretchen made a paper cone to hold a gift for a friend. The paper cone was 11 inches high and had a radius of 4 inches. Find the volume of the paper cone to the nearest tenth. Use 3.14 for π.


The volume is ___in^3

Answers

Answer:

184.2 in^3

Step-by-step explanation:

vol of cone=

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

[tex]3.14 \times 16 \times \frac{11}{3} [/tex]

=184.2

Solve for x,

40x-5 = 115​

Answers

Answer:

x=3

Step-by-step explanation:

1. Add 5 to both sides --> 40x=120

2. Divide 40 from both sides

3. x=3

Question:
7x^2 + 8x = x^2

Answers

Answer:

x1= -4/3 and x2= 0

Step-by-step explanation:

That answer is correct

What is the minimum possible value of this decimal? Use words, pictures, or numbers to explain your reasoning.

Answers

Answer:

if 2.4 is there it will become -2. 4

discrimination from teachers to students

Answers

Answer:

agree

Step-by-step explanation:

What is the question

What place value is the 5 in the following number, 123.465? earn 100 points!!!

Answers

Answer:

it will be in the thousands  place for sure

Step-by-step explanation:

hope that helps =) i forgot there were a decimal point

Answer:

The place value of 5 in "123.465" is the thousandths

Step-by-step explanation:

The reason for this is because the "5" is 3 points behind the decimal, making it in the thousanths place.

natalie budgets $150 for yoga training but doesn’t want to spend all of that money. She buys a yoga mat for $10 and spends $9 per day on yoga classes. Which inequality represents the number of day,d, that Natalie can take classes and stay under (less than) her budget?

Answers

Answer:

A

Step-by-step explanation:

Answer:

A) I hope I helped you ◉‿◉

Suppose that a rectangular picture is surrounded by a frame of uniform width of x
inches as depicted below. The dimensions of the picture are 8 inches (width) by
10 inches (length). Find a simplified expression that represents the area of the
picture and frame.
Type your simplified answer for the area of the picture and frame along with your
work in the box below. To receive any partial credit, you must include all your work.

Answers

Answer:

Ok so the area of the frame is 18*12 = 216cm^2

Let’s suppose the width of the frame is x

The total area (painting and frame) is (2x+18)(2x+12) and this is equal to 432

4x^2 + 60x + 216 = 432

4x^2 + 60x - 216 = 0

x^2 + 15x - 54 = 0

(x+18)(x-3) = 0

Therefore x = {-18,3}

Since width of the frame has to be positive, the width has to be 3cm Step-

i hope i helped!

It takes Daphne 25 minutes to assemble a model plane. During her work
minutes for lunch and one 15 minute break. Which inequality could Daphne use to determine the number
of model planes, p, she can assemble in her 8 hour work day?
A. 25p – 45 > 8
B. 25p + 45 2 8
C. 25p – 45 < 480
D. 25p + 45 < 480

Answers

Answer: 25p+45>= 8

Step-by-step explanation:

u/5 =13/7 solve for u

Answers

Answer:

u = 65/7

Step-by-step explanation:

u/5 = 13/7

Using the cross product

7u = 5*13

7u = 65

Divide each side by 7

7u/7 = 65/7

u = 65/7

Write the following as an inequality. 9 is greater than x, and 3 is less than x Use x only once in your inequality. also please understand that two people need to answer the question for me to give brainiest, and yes once two people answer I will choose brainliest for whoever is correct

Answers

Answer:

9>x>3

Step-by-step explanation:

the open side always faces the greater value

Sequence: 49, 36, 25, 16, 8, 4, 1 * Is this a arithmetic or geometric sequence? and if it is arithmetic find the common difference and if it is geometric find the common ratio? and please do not give me a stupid answer only smart people answer this if you know the answer to this you are smart.

Answers

Answer:

Step-by-step explanation:

The sequence is nor properly written. This is correct sequence

49, 36, 25, 16, 9, 4, 1...

Merely looking at the sequence, we can see that it doesn't form an arithmetic sequence nor does it form a geometric sequence.

The values of the sequence are all perfect squares.

Rewriting the sequence;

7², 6², 5², 4², 3², 2², 1²...

Now we can see that the base values for an arithmetic sequence as shown:

7, 6, 5, 4, 3, 2, 1...

We find the common difference of this sequence as shown

d = T2-T1 = T3-T2 = T4-T3

Given T1 = 7, T2 = 6, T3 = 5, T4 = 4

Substitute

d = 6-7 = 5-6 = 4-5 = -1

d = -1

Get the nth term using the sequence

Tn = a+(n-1)d

a is the first term

d is the common difference

n is number of terms

Tn = 7+(n-1)(-1)

Tn = 7+(-n+1)

Tn = 7+1-n

Tn = 8-n

Since their power are constant i.e squared, hence we will square the ntj term as well to get the nth term of the original sequence as;

Tn = (8-n)²

To conclude, we can say that the sequence is neither arithmetic nor geometric sequence since the terms of the sequence are prefect squares.

Model a desert community where 48% of the area is covered with houses. Place houses on of the 100 squares to represent or 48% houses.

Answers

Answer:

100

Step-by-step explanation:

Answer:

Place houses on

48

of the 100 squares to

represent

48/100

or 48% houses.

I need help the instructions say go left to right

Answers

A would go to 4
B would go to 3
C would go to 2
D would go to 1

Can only polygons be rotated

Answers

Answer: no    

hope this helps!!!!!!! lol i suck

help please giving branliest

Answers

Answer:

C) 53°

Step-by-step explanation:

We know that <3 and <4 are equal, so we can solve for y.

3y+7=5y-73

7+73=5y-3y

80=2y

y=40

Now plug that in to <3

3y+7=3(40)+7=127

We know that <3 and <2 equal 180.

180-127=53

So <2=53°

C . 53 degrees. sorry if i’m wrong

What is -9.5-(-8)-6.5 show your work step-by-step.

Answers

Answer:

-8

Step-by-step explanation:

-9.5-(-8)-6.5  There are two negatives next to each other, so it's a positive.

-9.5+8-6.5     We want to use the order of operations, so first we can add.

-9.5+8=-1.5     The problem now looks like...

-1.5-6.5           Finally, just subtract.

-8                     8 is your answer!!

I hope this helped you...have a wonderful day c:

When graphing a polynomial function, what determines what the graph will look like at the far left side? Explain your answer.

Answers

Answer:

2

Step-by-step explanation:

this will help i think this will be the answer i am not sure

please help 25 point asap​

Answers

Answer:

B

Step-by-step explanation:

Answer:

b) B,A,C

Step-by-step explanation:

Find the rate of increase:
Original amount: $2000
Final amount: $3000

Answers

Answer:

21

Step-by-step explanation:

Answer:

67%

Step-by-step explanation:

the original amount had to increase by 67% in order to equal the final about simply by dividing 2000 by 3000 getting 2/3 which is 0.666667 then multiplying by 100 to get a rate

B^2 + 11b + 18 ( Factor the question)
Help please!

Answers

(x+2)(x+9)
................................

Answer:

=b^2+(9+2)b+18

=b^2+9b+2b+18

=b(b+9)+2(b+9)

=(b+9)(b+2)

The angles on an original drawing must be multiplied by the scale factor to find the angles on a scale copy.
O True
O False

Answers

False
When a drawing is scaled, the angles are preserved, meaning they don’t change.

Delisa Corporation has two divisions: Division L and Division Q. Data from the most recent month appear below:


Total Company Division L Division Q

Sales $ 577,000 $ 158,000 $ 419,000

Variable expenses 347,300 104,280 243,020

Contribution margin 229,700 53,720 175,980

Traceable fixed expenses 124,110 38,710 85,400

Segment margin 105,590 $ 15,010 $ 90,580

Common fixed expenses 70,310

Net operating income $ 35,280


The break-even in sales dollars for Division Q is closest to: (Round your intermediate calculations to 2 decimal places.)


Multiple Choice

$318,530

$203,333

$268,466

$459,400

Answers

Answer:

$203,333

Step-by-step explanation:

Computation for the break-even in sales dollars for Division Q

First step is to compute the Segment Contribution Margin ratio

Using this formula

Segment Contribution Margin ratio = Segment contribution margin ÷ Segment sales

Let plug in the formula

Segment Contribution Margin ratio= $ 175,980÷ $ 419,000

Segment Contribution Margin ratio= 0.42

Last step is to find the break-even in sales dollars for Division Q using this formula

Break-even in sales dollars = Segment traceable fixed expenses ÷ Segment Contribution Margin ratio

Let plug in the formula

Break-even in sales dollars= $85,400÷ 0.42

Break-even in sales dollars=$203,333

Therefore the break-even in sales dollars for Division Q is $203,333

I thought of a two-digit number. The unit digit of my number is 7 more than the tens digit cubed. What is my number?

Answers

Answer:

18

Step-by-step explanation:

The tens digit a is cubed (a³ ) still less than the biggest possible 1 -digit number . It can be only 0 or 1 , so even 2³ =8 ( in such case the unit digit is 15,- that's  not possible) .

0 can not be the the first digit in 2 digit number. So the only possible tens digit is 1. So the unit number is 1+7=8.

Answer 18

Answer:

18

Step-by-step explanation:

PLEASE WRITE THE EQUATION THAT IS WHAT IT IS ASKING!! THE EQUATION IS IN SLOPE INTERCEPT FORM!!

Answers

Answer:

y = -3x-5

Step-by-step explanation:

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