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NemiM [27]
3 years ago
7

What is the lateral and surface area? ​

Mathematics
1 answer:
pshichka [43]3 years ago
4 0

Answer:

L = 324 cm²

S = 359.1 cm²

Step-by-step explanation:

Lateral surface area of a triangular prism is given by,

Lateral surface area = Perimeter of the triangular base × Height

                                  = (9 + 9 + 9)×12

                                  = 27 × 12

                                  = 324 cm²

Surface area area of the triangular prism = Lateral area of the prism + Area of the triangular bases

= 324 + \frac{1}{2}(Base)(Height)

= 324 + \frac{1}{2}(9)(7.8)

= 324 + 35.1

= 359.1 cm²  

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To find the solution to the given expression, we simply isolate the unknown variable m and perform the necessary operations. The solution is as follows. 

(3/5)*(2m-10) = (2/3)*m + 10
15*[(3/5)*(2m-10) = (2/3)*m + 10]
9(2m-10) = 10m + 150
18m-90 =10m + 150
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8m = 240
m = 240/8
m = 30

First, we multiply the whole expression to the least common denominator (LCD) which is 15. Multiplication and division were then performed accordingly. The terms containing the variable m were transposed to the left side of the equation. Mathematical operations were then applied to get the final value of m which is equal to 30.
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3 years ago
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Answer:

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Step-by-step explanation:................................

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3 years ago
Han wants to buy a $30 ticket to a game, but the pre-order tickets are sold out. He knows there will be more tickets sold the da
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4 0
3 years ago
Suppose that a computer chip company has just shipped computer chips to a computer company.​ Unfortunately, of the chips are def
Varvara68 [4.7K]

Answer:

(a) 0.0000245

(b) 0.000025

Step-by-step explanation:

The complete question is:

Suppose that a computer chip company has just shipped 10,000 computer chips to a computer company. Unfortunately, 50 of the chips are defective. (a) Compute the probability that two randomly selected chips are defective using conditional probability. (b) There are 50 defective chips out of 10,000 shipped. The probability that the first chip randomly selected is defective is  50 /10,000  = 0.005.  Compute the probability that two randomly selected chips are defective under the assumption of independent events.

Solution:

(a)

In this case we need to compute the conditional probability of selecting two defective chips, i.e. the selection of the second defective chip is dependent on the first defective chip.

The probability of selecting the first defective chip is:

P(1D)=\frac{50}{10000}=0.005

Now there are 9999 chips left and 49 defective chips among them.

The probability of selecting the second defective chip is:

P(2D)=\frac{49}{9999}=0.0049

Compute the probability that two randomly selected chips are defective using conditional probability as follows:

P (Two defective chips) =P(1D)\times P(2D)=0.005\times 0.0049=0.0000245

Thus, the answer is 0.0000245.

(b)

Compute the probability that two randomly selected chips are defective under the assumption of independent events as follows:

The above statement implies that the selection was done with replacement.

The probability is:

P (Two defective chips) =P(1D)\times P(2D)

                                      =\frac{50}{10000}\times \frac{50}{10000}\\\\=0.005\times 0.005\\\\=0.000025

Thus, the probability that two randomly selected chips are defective under the assumption of independent events is 0.000025.

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12(3+1)
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The number 12 times the number 4 is 48
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3 years ago
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