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3 years ago

The pyramid shown has a volume of 248.22 units3 and a base area of 102.01 units2. Find the height of the pyramid.

Mathematics

1 answer:

wel3 years ago

6 0

Answer:

7.30 units

Step-by-step explanation:

$V = \frac{1}{3}bh$

$248.22= \frac{1}{3}(102.01)h$

$248.22= 34.003h$

$h = 7.30 units$

I hope this helped! :)

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If cot theta= 4/3, find csc theta

Marrrta [24]

Answer: Option d.

Step-by-step explanation:

The trigonometric identity needed is:

$csc^2\theta=cot^2\theta+1$

Knowing that $cot\theta=\frac{4}{3}$ :

Substitute it into $csc^2\theta=cot^2\theta+1$ :

$csc^2\theta=(\frac{4}{3})^2+1$

Simplify the expression:

$csc^2\theta=(\frac{4}{3})^2+1\\\\csc^2\theta=\frac{16}{9}+1\\\\csc^2\theta=\frac{25}{9}$

Solve for $csc\theta$ . Apply square root at both sides of the expression:

$\sqrt{csc^2\theta}=\±\sqrt{\frac{25}{9}}$

$csc\theta=\frac{5}{3}$

8 0

2 years ago

An Antique Collector want to know the age of a particular chair in a shop Statistical or not statistical

dmitriy555 [2]

Answer:

$\boxed{\bold{Not \ Statistical}}$

Step By Step Explanation:

Statistical: A survey, branch or mathematics consisting of data collection, organization, analysis, interpretation and presentation.

A statistical question deals with social problems, people, or something that must be studied and data gained. Statistical questions must have data sets and data gained. They also must have answers that vary from side to side or opinion to opinion, in order to be qualified as a 'statistical question'.

"<u><em>An Antique Collector wants to know the age or a particular chair in a shop</em></u>"

Statistical Not Statistical

$\boxed{\bold{>}}$ This is not a statistical question because there is no data that needs to be collected, no surveys that need to be filled out and no analysis, interpretation and presentation. The answer to this question does not vary. It is simply a fact.

7 0

2 years ago

Marcus solved a problem and found out that 190% of 20 is 380. Is he correct

avanturin [10]

Answer: He is Incorrect, It's 38

Work: For this question, I did the Cross-Product Method. The Cross Product Method is when you solve equation via to fractions. With the CPM, One one side of the fraction, I had x / 20 (Twenty being the whole number) and on the other side, I had 190/100 (190 being the percent) After setting this up, I made the equation. 190 times 20 is 3800, and the other multiplication is 100 times x which is 100x. So, the new equation is 3800 = 100x. I divided both sides by 100, and the answer is 38 = x

<em>I hope this helps, and Happy Holidays! :)</em>

8 0

2 years ago

Read 2 more answers

An office has 150 employees, and 30 of the employees work the night shift. What percentage of the employees work the night shift

Zanzabum

<h2>Answer:</h2>

The percent of employees who work in the night shift are:

20%

<h2>Step-by-step explanation:</h2>

Total number of employee in the office are: 150

Number of employee who work in the night shift are: 30

The percent of the employee who work in the night shift is calculated as follows:

$\dfrac{\text{Number\ of\ people\ working\ in\ the\ night\ shift}}{\text{Total\ number\ of\ employees}}\times 100$

Hence, on putting the value in the above formula we get:

$=\dfrac{30}{150}\times 100\\\\\\=\dfrac{1}{5}\times 100\\\\\\=20\%$

Hence, the answer is:

20%

4 0

3 years ago

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Do you think mold is somthing we need to worry about in school

Brrunno [24]

Personally, I think it is. Not only that mold is very unattractive and would not represent your school well, it can cause issues with your respiratory system. It can cause a lot of problems with children that have asthma and allergies or maybe they are sensitive to it. Even for the children who do not have those two, it can cause Illness and infections.

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2 years ago