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AnnyKZ [126]
3 years ago
13

This pyramid has the same base as the prism, and its height is three times the height of the prism. What is the ratio of the vol

ume of the pyramid to the volume of the prism? A. `("volume of pyramid")/("volume of prism")= 1` B. `("volume of pyramid")/("volume of prism")= 1/9` C. `("volume of pyramid")/("volume of prism")= 3` D. `("volume of pyramid")/("volume of prism")= 2/3`
Mathematics
1 answer:
solong [7]3 years ago
6 0

Answer:

Option A is the correct answer.

Explanation:

 Let A be the base area and h be the height of prism.

 Volume of prism =  Base area x Height = a x h =ah

 Now we have base area of pyramid = Base area of prism = a ( both have same type of base)

Height of pyramid = 3 x height of prism = 3h

Volume of pyramid = 1/3 x Base area x Height = 1/3 x a x 3h = ah

Comparing both volumes, we will get Volume of prism = Volume of pyramid

So their ratio is 1.

Option A is the correct answer.

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Anyone wanna help with this iready question?
Illusion [34]

Answer:

3 ticket = 21 $

5 ticket = 35$

so 1 ticket = 7$

9 ticket = 63$

2$ discount

total amount = 61$

Mark my answer as brainlist answer.

7 0
3 years ago
The lifetime of a certain type of TV tube has a normal distribution with a mean of 61 and a standard deviation of 6 months. What
Ad libitum [116K]

Answer:

P(57

P(-0.67

P(-0.67

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the lifetime for a TV of a population, and for this case we know the distribution for X is given by:

X \sim N(61,6)  

Where \mu=61 and \sigma=6

We are interested on this probability

P(57

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(57

And we can find this probability like this:

P(-0.67

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.  

P(-0.67

6 0
3 years ago
Solve for k: 4 + k/6 = x times 4
loris [4]
Here is your answer....

3 0
3 years ago
Doug had about $3,215 in savings while his brother had double that amount in savings. What is a reasonable amount that the broth
MaRussiya [10]

Answer: i think you would have to multiply

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The 2nd and 5th terms of a gp are 1/18 and 4/243 respectively. Find
Viktor [21]

The third term of the geometric progression will be 1 / 27 with common ratio 2 / 3.

We are given that:

2nd term of geometric progression = 1 / 18

5th term = 4 / 243

Now, we can also write it as:

2nd term = a r ( where r is the common ratio and a is the initial term.)

a r = 1 / 18

5th term = a r⁴

a r⁴ = 4 / 243

Now divide 5th term by 2nd term, we get that:

a r⁴ / a r = ( 4 / 243 ) / ( 1 / 18 )

r³ = 72 / 243

r³ = 8 / 27

r = ∛ (8 / 27)

r = 2 / 3

3rd term = a r²

a r² = a r × r

= 1 / 18 × 2 / 3

3rd term = 1 / 27

Therefore, the third term of the geometric progression will be 1 / 27 with common ratio 2 / 3.

Learn more about geometric progression here:

brainly.com/question/24643676

#SPJ4

Your question was incomplete. Please refer the content below:

The 2nd and 5th term of a GP are 1/18 and 4/243 respectively find the 3rd term

6 0
1 year ago
Read 2 more answers
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