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2 years ago

Find the total area for the regular pyramid. T. A. =

Mathematics

1 answer:

Volgvan2 years ago

3 0

Answer:

The answer to your question is Superficial area = 144 + 36√3

Step-by-step explanation:

Process

1.- Calculate the area of the base

Area = base x height / 2

-Calculate the height using the Pythagorean theorem

h² = 12² - 6²

h² = 144 - 36

h² = 108

h = √108

108 2

54 2

27 3

9 3

3 3

h = 6√3

Area = 12 x 6√3/2

Area = 36√3 u²

2.- Calculate the area of the superficial 3 triangles

Area = base x height / 2

-Calculate the height using the Pythagorean theorem

h² = 10² - 6²

h² = 100 - 36

h² = 64

h = 8

Area = 12 x 8/2

Area = 48 u²

Total area = 3(48) + 36√3

= 144 + 36√3

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A study determined that the average student who graduates takes 58 months to graduate from college with a bachelor’s degree and

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B is the answer a b c and d is the answer

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2 years ago

It is common in many industrial areas to use a filling machine to fill boxes full of product. This occurs in the food industry a

Sphinxa [80]

Answer:

(a) P(B) = 0.008, (b) P(A∩B) = 0, (c) Yes, A and B are mutually exclusive events, (d) P(A∪B)=0.948, (e) 0.948, (f) 0.06

Step-by-step explanation:

We have three different posibilities

A: fill to specification

B: underfill

C: overfill

in probability the sum of the different events which are mutually exclusive should sum to 1, so, we should have

(a) P(B) = 1 - P(A)-P(C) = 1-0.940-0.052=0.008

(b) P(A∩B)=probability that the machine fill to specification and underfill = 0 because a machine can't fill to specification and underfill at the same time

(c) Yes, A and B are mutually exclusive events, because a machine can't fill to specification and underfill at the same time

(d) Because A and B are mutually exclusive events we should have that

P(A∪B)=P(A)+P(B)=0.940+0.008=0.948

(e) The probability that the machine does not overfill is the same that the probability that the machine fill to specification plus the probability that the machine underfill, i.e, the probability that the machine does not overfill is P(A)+P(B)=0.948, because does not overfill is equivalent either to fill to specification or to underfill.

(f) The probability that the machine either overfill or underfills is

P(C∪B)=P(C)+P(B)=0.052+0.008=0.06 because C and B are mutually exclusive events.

5 0

2 years ago

The table shows the number of grapes eaten over several minutes. What is the rate of change for the function on the table? 15 gr

Mkey [24]

Answer:

1. 15 grapes eaten per minute.

Step-by-step explanation:

We have been given a table that shows the number of grapes eaten over several minutes. We are asked to find the rate of change of our given function.

Since we know that rate of change of a function can be found by vertical change of the function divided by horizontal change of the function.

$\text{Rate of change of a function}=\frac{\text{Vertical change}}{\text{Horizontal change}}$

$\text{Rate of change of a function}=\frac{y_2-y_1}{x_2-x_1}$

$y_2-y_1$ =Difference between two y-coordinates.

$x_2-x_1$ =Difference between corresponding x-coordinates of y-coordinates.

Upon substituting coordinates of any two points in above formula we will get,

$\text{Rate of change of the function}=\frac{60-15}{4-1}$

$\text{Rate of change of the function}=\frac{45}{3}$

$\text{Rate of change of the function}=15$

We can see that rate of change of our given function is 15 grapes eaten per minute and 1st option is the correct choice.

7 0

2 years ago

Read 2 more answers

There are four nickels and seven dimes in your pocket. One of the nickels and one of the dimes are Canadian. The others are US c

natima [27]

Answer:

8/11

Step-by-step explanation:

Only 3 of the nickels are neither dimes nor Canadian. The other 8 of 11 coins are dimes or Canadian. The probability of choosing one of them at random is 8/11.

8 0

2 years ago

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louise bought 80 metres of fencing to make an enclosure for her pet dog .tommy if louise expects a rectangular enclosure what is

OleMash [197]

Answer:

400 m^2.

Step-by-step explanation:

The largest area is obtained where the enclosure is a square.

I think that's the right answer because a square is a special form of a rectangle.

So the square would be 20 * 20 = 400 m^2.

Proof:

Let the sides of the rectangle be x and y m long

The area A = xy.

Also the perimeter 2x + 2y = 80

x + y = 40

y = 40 - x.

So substituting for y in A = xy:-

A = x(40 - x)

A = 40x - x^2

For maximum value of A we find the derivative and equate it to 0:

derivative A' = 40 - 2x = 0

2x = 40

x = 20.

So y = 40 - x

= 40 - 20

=20

x and y are the same value so x = y.

Therefore for maximum area the rectangle is a square.

3 0

2 years ago