A triangular prism and a triangular pyramid have congruent bases and heights. What is the ratio of
the volume of the prism to the volume of the pyramid? Show your work.

Answers

Answer 1

Answer:

if a pyramid and a prism have the base and height also their volumes are always in the ratio 1:3

step by step

as the volumes of prism is 108 cubic meters

1/3 x 108 = 36 cubic meters


Related Questions

John made 357$ for 17 hours of work.
At the same rate, how many hours would he have to work to make $237???

Answers

Answer: 14 hours

Step-by-step explanation: First I found the unit rate of how much money per hour. So, 357 divided by 17 = 21. So know I know that she earns 21$ per hour. Then, I did 237 divided by 17 which would be 13 remainder 16. Since he only get paid if he works for a full hour, I think the answer would be 14.

[tex]\begin{array}{ccll} \$&hrs\\ \cline{1-2} 357&17\\ 237&x \end{array}\implies \cfrac{357}{237}=\cfrac{17}{x}\implies \implies \cfrac{119}{79}=\cfrac{17}{x}\implies 119x=1343 \\\\\\ x = \cfrac{1343}{119}\implies x = \cfrac{79}{7}\implies x = 11\frac{2}{7}\leftarrow \textit{11 hours, 17 minutes and 8 seconds}[/tex]

The price of an item has risen to $152 today. Yesterday it was $95. Find the percentage increase.

Answers

Answer:

60% increase

Step-by-step explanation:

152 - 95 = -57

57 / 95 = 0.6

0.6 x 100 = 60

6-3y+(-7y)+5.6 i really need answers

Answers

Answer:

+2 • (25y + 29)/5

Step-by-step explanation:

If a batch of cookies uses
2
2
3
cups of sugar, then how much sugar is needed to make 5 batches of cookies

Answers

Answer:

13 1/3 cups of sugar

Step-by-step explanation:

A group of 8 people are sharing gummy bears each person wants 5 gummy bears each bag has 9 gummy bears

Answers

At least 5 bags of gummy bear bags are needed for each person to get 5 gummy bears.

The given parameters;

total number of people sharing the gummy bears, n = 8 peoplenumber of gummy bears in each bag, = 9 gummy bearsnumber of gummy bears needed by each person = 5 gummy bears

The number of gummy bear bags needed to share 5 gummy bears to each person is calculated as follows;

let the number of gummy bears bag = x

[tex]\frac{9x}{8} = 5\\\\9x = 40\\\\x = \frac{40}{9} \\\\x = 4.4[/tex]

Thus, at least 5 bags of gummy bear bags are needed for each person to get 5 gummy bears.

Learn more about sharing and divisions here: https://brainly.com/question/112003

What is the value of 40 1/2÷3 1/2

Answers

11.57142857142857 Is the answer

Answer:

81/7 (11.57, 11 4/7)

Step-by-step explanation:

Lets rewrite these mixed fractions

[tex]40\frac{1}{2}=\frac{81}{2}[/tex]

[tex]3\frac{1}{2} =\frac{7}{2}[/tex]

Here we can do divide these two numbers:

[tex]\frac{\frac{81}{2} }{\frac{7}{2} }=\frac{81}{7}[/tex]

The answer therefore is 81/7, or 11.571 (11 4/7)

19. Ram and Rahim are partners in a firm sharing profits in the ratio of 3: 2. Kabir is admitted as a partner for 1/5th share of profits. Machinery would be appreciated by 10% (Book Value of 80,000) and Building would be depreciated by 20% (Book Value of 2,00,000). Unrecorded Debtors of 1,250 would be brought to books. There is a liability of 2,750 included in Sundry Creditors that is not to be paid. What will be the Gain (Proñt Loss on revaluation? (a) Loss of 28,000. (c) Profit 28,000. (6) Loss 40,000. (d) Profit of 40,000.​

Answers

Answer:

make me brainlist

Step-by-step explanation: firm sharing profits and losses in the ratio of 3

2. From Ist April, 2020 they decided to share the future profits equally. On this date, the General Reserve

showed a balance of 1,60,000; Revaluation of fixed assets resulted into a gain of "1,02,000 and stock resulted

to a loss of 22,000. On this date, the goodwill of the firm was valued at $3,60.000

Pas necessary journal entries for the above transactions on reconstitution of the form

Bolutions

Hep help help help help math math

Answers

Answer:

5(37)+10

10(17.5)+5

Step-by-step explanation:

5x+10=180

-10 -10

5x=170

divide by 5

x=37

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

10x+5=180

-5 -5

10x=175

divide by 10

x=17.5

Please help. Will give brainliest.

Answers

Answer:

i am going to but 11 bagels but i am going to buy them for a price under 5$

i am also going to buy 4 extra if we are still hungry

Step-by-step explanation:

i dunno you prob need a anwser with little thought like this becuase of auto grading systems hope this helps

harold bought 3 pounds of red apples

Answers

Answer:

what's your question?  

yesssssssssssssssssssssssssssssssssssssss

Which is the equation of a parabola with Vertex (0,0) and directrix x=-2?

Answers

Answer:

y^2 = 8x

or

x = 1/8 y^2.

Step-by-step explanation:

The general form for this type of parabola is

y^2 = 4ax where the focus is at (a, 0) and the directrix  is x = -a

So the equation is y^2 = 4*2x

that is y^2 = 8x.

I need help with this

Answers

b and c they don’t go through the origin

Which expression has a value of −8?

Answers

Answer:

-4+-3+2-3

Step-by-step explanation:

suppose we want to choose 2 colors, without replacement from 3 colors red,bule and green

Answers

Then U Would Choose Blue And Red

Is 111111 divisible by 37?

Answers

Answer:

Yes

Step-by-step explanation:

3003 woooow

Answer:

yes

Step-by-step explanation:

A is divisible by  B, if after dividing them, A ÷ B, the remainder is zero.

HELP!!!! PLZZZZZZZZZZ

Answers

Answer:

2x³ + 4x² cub. inches

3x³ + 36x² + 105x cub. inches

x³ + 32x² + 105x cub. inches

Step-by-step explanation:

Volume of the small box = x × 2x × (x + 2)

= 2x²(x + 2)

= 2x³ + 4x² cubic inches

Volume of the large box = (x + 5)(x + 7) × 3x

= (x² + 12x + 35) × 3x

= 3x³ + 36x² + 105x cubic inches

Difference between Volume of large box and small box = 3x³ + 36x² + 105x - (2x³ + 4x²)

3x³ + 36x² + 105x - 2x³ - 4x²

x³ + 32x² + 105x cubic inches

I need help on this question pls​

Answers

Answer:

t = 17.5 f = 12

Step-by-step explanation:

If MNOP is a square, you know that each angle is going to be 90°. To solve, let's first set each equation equal to 90°:

[tex]90 = 4t + 20[/tex]

and

[tex]90 = 7f + 6[/tex]

Then solve both equations:

[tex]90 = 4t + 20 \\ 70 = 4t \\ 17.5 = t[/tex]

and

[tex]90 = 7f + 6 \\ 84 = 7f \\ 12 = f[/tex]

I hope that helps!

Suppose that 100,000 men were screened for prostate cancer for the first time. Of these, 4,000 men had a positive result on the screening blood test; of those who tested positive, 800 had a biopsy indicating a diagnosis of prostate cancer. Among the remaining 96,000 men who screened negative, 100 developed prostate cancer within the following year and were assumed to be false negatives to the screen. a) set-up the two-by-two table for this data. (please provide an actual table) b) what is the prevalence of prostate cancer in this population? c) calculate and interpret the sensitivity of this screening test d) calculate and interpret the specificity of this screening test. e) Calculate and interpret the positive predictive value of this screening test.

Answers

An actual two-by-two table is a tabular representation containing two rows and two columns.

The columns consist of the tested True positive for prostate cancer and tested True Negative for prostate cancerThe rows consist of the predicted positive screening and predicted negative values

a)

Mathematically, the set-up of the two-by-two table for this data can be computed as:

Tested                  True Positive for cancer   True Negative    Total

Predicted Positive         800                            3200                 4000

Predicted Negative        100                            95900              96000

Total                                900                            99100              100000  

b)

The prevalence rate of prostate cancer in this population is:

[tex]\mathbf{ =\dfrac{900}{100000}}[/tex]

[tex]\mathbf{ =\dfrac{9}{1000}}[/tex]

= 9 per thousand.

c)

The calculation of the sensitivity of this screening is as follows:

[tex]\mathbf{=\dfrac{TP}{TP+PN_1}}[/tex]

where;

TP = True positive for cancerPN₁ = Predicted Negative for true positive cancer

[tex]\mathbf{=\dfrac{800}{800+100}}[/tex]

= 0.889

= 88.9%

The interpretation shows that 88.9% are correctly identified to be actual positive for prostate cancer.

d)

The calculation of the specificity  of this screening is as follows:

[tex]\mathbf{=\dfrac{PN_2}{PN_2+TN}}[/tex]

where;

TN = True positive for cancerPN₂ = Predicted Negative for true negative cancer

[tex]\mathbf{=\dfrac{95900}{95900+3200}}[/tex]

= 0.9677

= 96.77%

The interpretation shows that 96.7% of an actual negative is correctly identified as such.

e)

The positive predicted value of the screening test is computed as:

[tex]\mathbf{= \dfrac{TP}{TP + TN}}[/tex]

[tex]\mathbf{= \dfrac{800}{800 + 3200}}[/tex]

= 0.2

= 20%

The interpretation of the positive predicted value of this screening shows that 20% that are subjected to the diagnosis of positive prostate cancer truly have the disease.

Learn more about tabular representation here:

https://brainly.com/question/8307968

Help me plz NO LINKS


Thanks

Answers

Answer:

please I am tired texting and answering questions.

danny is offering 36$ for 4 hours of swimming lessons. Martin in offering 54$ for 3 hours of swimming lessons. whose offer is better

Answers

Answer:

Danny's offer is cheaper

Step-by-step explanation:

Danny is offering 36$ for 4 hours meaning you would do 36÷4=9 (9$ per hour)

Martin is offering 54$ for 3 hours so 54÷3=18 (18$ per hour)

Or the faster way of finding why is Danny is offering more hours for cheaper

Hope this helps

A number increased from 3,631 to 8,140. Find the amount of increase.

Answers

Answer: 4509

8,140-3,631

= 4509

Which expression shows a way to find 20% of 950

1/20 / 950

1/20 • 950

1/5 • 950

1/5 / 950

Answers

Answer:

C

Step-by-step explanation:

20% x 950

Calculate 20% x 950 = 190

Match the options one by one and there

Answer:

C: 1/5 · 950

Step-by-step explanation:

I got it correct on I-ready.

Hope this helps!!

[tex]3^{2x+1} -4.9^{x} =-9[/tex]

Answers

Ok done. Thank to me :>

write clearly please

Answers

Answer: this is 4

Step-by-step explanation: A+b=2+2=4

math problem need help give 5 stars and good rating if do

Answers

Answer:

The answer is A, 20%.

Step-by-step explanation:

If you find 30 out of 150, it is 20%. A simple way to do it is add 30 up until you get 150. So in this case it is 5 times. Then you do 100% divided by 5 which is 20%. Hope this helps!

How many cups of cream would you need for 7 cups of sugar

Answers

Answer:

sugar is bad so just use cream

Step-by-step explanation:

sugar can increase the risk of weight gain, diabetes, tooth cavities, and more.

hope this helps

I need help asap
Please help me!!
contains ordered pairs

Answers

Answer:

which question ?

Step-by-step explanation:

Please help me will give brainliest

Answers

Answer:

f(x) = 8.917x³ + 2x² + 0.083x - 7

Step-by-step explanation:

f(x)= y

Let the coefficients of x³, x², x be a, b, c and the constant be d

y= ax³ + bx² + cx + d

When y = -65, x = -2

-65= a(-2)³ + b(-2)² + c(-2) + d

-65= -8a + 4b - 2c + d ...eq. 1

When y = -14, x = -1

-14= a(-1)³ + b(-1)² + c(-1) + d

-14= -a + b - c + d ...eq. 2

When y = -7, x = 0

-7= a(0)³ + b(0)² + c(0) + d

-7 = d ...eq.3

When y = 4, x = 1

4= a(1)³ + b(1)² + c(1) + d

4= a + b + c + d ...eq. 4

when y = 78, x = 2

78 = a(2)³ + b(2)² + c(2) + d

78= 8a + 4b + 2c + d ...eq. 5

From eq. 3, d is - 7

putting d as - 7 in equations 1, 2, 4 and 5

In eq. 1,

-65= -8a + 4b - 2c - 7

-58= -8a + 4b - 2c ...eq. 6

In eq. 2

-14= -a + b - c - 7

-7= -a + b - c ...eq. 7

In eq. 4,

4= a + b + c - 7

11= a + b + c ...eq. 8

In eq. 5

78= 8a + 4b + 2c - 7

85= 8a + 4b + 2c ...eq.9

Subtracting eq. 9 from eq. 6

-143 = -16a - 4c... eq 10

subtracting eq. 8 from eq 7

-18= -2a - 2c

9= a + c

a = 9 - c ...eq 11

putting a as 9 - c in eq. 10

-143 = -16(9 - c) - 4c

-143 = -144 + 16c - 4c

1= 12c

c = 1/12 or 0.083

putting c as 1/12 in eq. 11

a = 9 - 1/12

a = 107/12 or 8.917

Putting a as 107/12 and c as 1/12 in eq. 8

11= 107/12 + b + 1/12

multiplying through by 13

132 = 107 + 12b + 1

132 - 108 = 12b

24= 12b

b = 24/12

= 2

Therefore, a= 8.917, b= 2, c= 0.083 and d = -7

f(x) = 8.917x³ + 2x² + 0.083x - 7

Find the domain of the graphed function.

Answers

Answer:

A

Step-by-step explanation:

the domain is all the possible numbers that the x can be, so to find this from the graph you find the x-value of the leftmost point, which is -1 in this case, and the x-value of the rightmost point, which is 3. this means the range of values would be -1 <= x <= 3

Identify the function as a power function, a polynomial function, or neither.


[tex]fx=\frac{x^2}{x^2-1}[/tex]

Answers

Answer:

I think this is neither. As you can see the value of x reaches infinity and negative infinity, the value gets infinetly closer to 1.

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