1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DochEvi [55]
3 years ago
7

What is the volume of the right prism with height h=14 cm, if the base of the prism is a triangle ∆ABC with side AB = 9 cm and a

ltitude to that side ha= 6 cm.
Mathematics
1 answer:
Lina20 [59]3 years ago
7 0
<u><em>Answer:</em></u>
volume of prism = 378 cm³

<u><em>Explanation:</em></u>
<u>The volume of the right prism can be calculated as follows:</u>
volume of prism = area of base * height of prism

<u>1- getting the area of base:</u>
Our base is a triangle, this means that:
area = 0.5 * base * height
We have:
base = 9 cm
height = 6 cm
Therefore:
area of base = 0.5 * 9 * 6
area of base = 27 cm²

<u>2- getting the volume:</u>
volume of prism = area of base * height of prism
volume of prism = 27 * 14
volume of prism = 378 cm³

Hope this helps :)
You might be interested in
What is the quotient when 72 is divided by 8
DanielleElmas [232]
72 divided by 8 is 9 :)
6 0
3 years ago
Read 2 more answers
A grocery store’s receipts show that Sunday customer purchases have a skewed distribution with a mean of 27$ and a standard devi
34kurt

Answer:

(a) The probability that the store’s revenues were at least $9,000 is 0.0233.

(b) The revenue of the store on the worst 1% of such days is $7,631.57.

Step-by-step explanation:

According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and we take appropriately huge random samples (n ≥ 30) from the population with replacement, then the distribution of the sum of values of X, i.e ∑X, will be approximately normally distributed.  

Then, the mean of the distribution of the sum of values of X is given by,  

 \mu_{X}=n\mu

And the standard deviation of the distribution of the sum of values of X is given by,  

\sigma_{X}=\sqrt{n}\sigma

It is provided that:

\mu=\$27\\\sigma=\$18\\n=310

As the sample size is quite large, i.e. <em>n</em> = 310 > 30, the central limit theorem can be applied to approximate the sampling distribution of the store’s revenues for Sundays by a normal distribution.

(a)

Compute the probability that the store’s revenues were at least $9,000 as follows:

P(S\geq 9000)=P(\frac{S-\mu_{X}}{\sigma_{X}}\geq \frac{9000-(27\times310)}{\sqrt{310}\times 18})\\\\=P(Z\geq 1.99)\\\\=1-P(Z

Thus, the probability that the store’s revenues were at least $9,000 is 0.0233.

(b)

Let <em>s</em> denote the revenue of the store on the worst 1% of such days.

Then, P (S < s) = 0.01.

The corresponding <em>z-</em>value is, -2.33.

Compute the value of <em>s</em> as follows:

z=\frac{s-\mu_{X}}{\sigma_{X}}\\\\-2.33=\frac{s-8370}{316.923}\\\\s=8370-(2.33\times 316.923)\\\\s=7631.56941\\\\s\approx \$7,631.57

Thus, the revenue of the store on the worst 1% of such days is $7,631.57.

5 0
2 years ago
El equivalente de 4/6 ​
Diano4ka-milaya [45]
La respuesta es 2/3!
6 0
2 years ago
-3(5n-8)=-8(n-3)<br><br> Please Hurry
BartSMP [9]

Answer:

- 3(5n - 8) =  - 8(n - 3)

- 15n + 24 =  -8 n + 24

- 15n + 8n = 24 - 24

- 7n = 0

n =  \frac{0}{ - 7}

n = 0

6 0
2 years ago
Solve the system algebraically.<br><br>y=3-1/2x<br><br>3x+4y=1<br><br>what is the value of x?
Gre4nikov [31]
Use the expression for y in the second equation.
.. 3x +4(3 -(1/2)x) = 1
.. 3x +12 -2x = 1
.. x +12 = 1
.. x = -11
8 0
3 years ago
Other questions:
  • What Is The Answer To: 2x3x21x92
    14·2 answers
  • Answer please need help
    14·2 answers
  • : Sam is 12 years older than John. For the last four years, Sam and John have been friends. Five years ago, Sam was 5 times as o
    9·2 answers
  • What is greater 9.23 or 9.32
    11·1 answer
  • Calculate the area of a parallelogram with a base of 3 feet and a height of 1.2 feet
    9·2 answers
  • How much do the interior angles of a 25-gon sum up to ?
    14·1 answer
  • The table shows the outputs y for different inputs x:
    6·1 answer
  • Janiel tiene cierta edad​
    13·2 answers
  • A ladder 20 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2
    5·1 answer
  • Si X es una variable aleatoria de tipo continuo… ¿Es posible definir el índice de asimetría de Fisher? ¿Por qué?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!