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
patriot [66]
4 years ago
9

A company designed a cheese container in the shape of a triangular pyramid. The base of the pyramid must have an are of 81 squar

e cm. The finished container must hold 324 cubic cm of cheese. To accomplish this, what is the height of the container?
Mathematics
1 answer:
mihalych1998 [28]4 years ago
5 0
To find the necessary height of the triangular pyramid you will use the formula for finding the volume of a pyramid and solve for the missing height.

V = 1/3Bh, where B is the area of the base.

324 = 1/3 x 81 x h
<u>324</u> = <u>27h</u>
27      27
h = 12 cm

The height of the container must be 12 centimeters.
You might be interested in
a trader always 12% discount and sold a fan at a loss of rs 16 if he had sold it at 10% discount he will have gain rupees 20 for
sergejj [24]

Answer:

profit = 30number is the answer of that question answer sapai

3 0
3 years ago
Read 2 more answers
Find the distance between E(-3,4) and B(-1,6)​
Marrrta [24]

Answer:

The answer is

<h2>2 \sqrt{2 }  \:  \: or \:  \: 2.828 \:  \:  \: units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

<h3>d =  \sqrt{ ({x1 - x2})^{2}  +  ({y1 - y2})^{2} }  \\</h3>

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

E(-3,4) and B(-1,6)

The distance between them is

<h3>|EB|  =  \sqrt{ ({ - 3 + 1})^{2} +  ({4 - 6})^{2}  }  \\  =  \sqrt{ ({ - 2})^{2}  +  ({ - 2})^{2} }  \\  =  \sqrt{4 + 4}  \ \   \\  = \sqrt{8}</h3>

We have the final answer as

<h3>2 \sqrt{2 }  \:  \: or \:  \: 2.828 \:  \:  \: units</h3>

Hope this helps you

4 0
3 years ago
robert buys a car for $8000. at the end of each year the value of the car has decreased by 10% of its value at the beginning of
kiruha [24]
So I believe you will have to do 10% x 7 as it has been seven years which will be 70% and 70% of 8000 is 5600 so the answer will be £5600
3 0
4 years ago
For a binomial distribution with p = 0.20 and n = 100, what is the probability of obtaining a score less than or equal to x = 12
notsponge [240]
The binomial distribution is given by, 
P(X=x) =  (^{n}C_{x})p^{x} q^{n-x}
q = probability of failure = 1-0.2 = 0.8
n = 100
They have asked to find the probability <span>of obtaining a score less than or equal to 12.
</span>∴ P(X≤12) = (^{100}C_{x})(0.2)^{x} (0.8)^{100-x}
                    where, x = 0,1,2,3,4,5,6,7,8,9,10,11,12                  
∴ P(X≤12) = (^{100}C_{0})(0.2)^{0} (0.8)^{100-0} + (^{100}C_{1})(0.2)^{1} (0.8)^{100-1} + (^{100}C_{2})(0.2)^{2} (0.8)^{100-2} + (^{100}C_{3})(0.2)^{3} (0.8)^{100-3} + (^{100}C_{4})(0.2)^{4} (0.8)^{100-4} + (^{100}C_{5})(0.2)^{5} (0.8)^{100-5} + (^{100}C_{6})(0.2)^{6} (0.8)^{100-6} + (^{100}C_{7})(0.2)^{7} (0.8)^{100-7} + (^{100}C_{8})(0.2)^{8} (0.8)^{100-8} + (^{100}C_{9})(0.2)^{9} (0.8)^{100-9} + (^{100}C_{10})(0.2)^{10} (0.8)^{100-10} + (^{100}C_{11})(0.2)^{11} (0.8)^{100-11} + (^{100}C_{12})(0.2)^{12} (0.8)^{100-12}


Evaluating each term and adding them you will get,
P(X≤12) = 0.02532833572
This is the required probability. 
7 0
4 years ago
0.5x+3.5=6 what is x
nasty-shy [4]

Answer:

5

Step-by-step explanation:

0.5x=6-3.5

0.5x=2.5

x=2.5÷0.5

x=5

6 0
3 years ago
Read 2 more answers
Other questions:
  • What is the standard form for 600,000 80,000 10
    12·1 answer
  • Please help!! Been trying for so long the way my teacher taught it, but cannot get right answer.
    15·1 answer
  • Nizar was computing a Statistics problem asking for the probability of Event A. His answer was 1.36 Using your knowledge of prob
    7·1 answer
  • (-x-¹y)°
    8·1 answer
  • Solve for a in the diagram below.
    13·2 answers
  • Is LNM= OQP? If so, name the postulate that applies.
    7·2 answers
  • A basket contains 10 red apples and 7 green apples. One apple is selected at random and is not replaced. A second apple is then
    7·2 answers
  • The graph represents function 1 and the equation represents function 2:
    6·1 answer
  • I need help with this ^
    6·1 answer
  • HELP PLEASE FAST GIVING 20 points !!!!!!!
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!