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LenKa [72]
3 years ago
11

What is the surface area???

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
4 0

Answer:

706.4ft²

Step-by-step explanation:

This is a prism with a trapezoid base. The total area includes:

1) 2 trapezoids (bases):

A1=2×(19+5)×12.1/2=24×12.1=290.4ft²

2) side area:

A2=base perimeter×prism height=

(19+5+14+14)×8=(24+28)×8=52×8=416ft²

So total area is A1+A2

A=290.4+416=706.4ft²

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Problem 5.A miner is trapped inside a mine and has access to 3 doors. The first door leads to a tunneland can take him to safety
Likurg_2 [28]

Answer:

Expected time is 15 hours for him to get to safety.

Step-by-step explanation:

We define X as the time that this miner would get to safety.

We define Y as the door he chooses initially.

P(Y= 1) = P(Y=2)=P(Y=3) = 1/3

We have E[X|Y=1] = 3

E[X|Y] = 5 hours + E[X}

E[X|Y] = 7 hours + E[X]

Then we have

E[X] = 1/3(3 + 5 + E[X] + 7 + E[X])

We cross multiply

3*E[X] = (15 + 2E[x])

3E[X] - 2E[X] = 15

E[X] = 15

So the time it would take to get him to safety is 15 hours

5 0
3 years ago
The marked price of a tablet is €800. During a sale its sold at €640. This means one saves €160 during the sale
ArbitrLikvidat [17]

Answer:

c. $28.84

Step-by-step explanation:

C 28.84 just multiply 38.45 by .25 then you should get 9.6125 you subtract 38.45 by 9.6125 and get 28.84

3 0
3 years ago
Use the segment addition postulate to write three equations using the diagram below
creativ13 [48]

Answer:

PQ + QR = PR => equation 1

RS + ST = RT => equation 2

PR + RT = PT => equation 3

Step-by-step explanation:

Points P, Q, R, S, and T are collinear therefore, the following equations can be written based on the segment addition postulate:

PQ + QR = PR => equation 1

RS + ST = RT => equation 2

PR + RT = PT => equation 3

More equations can actually be written from the diagram given using the segment addition postulate. Such as:

PQ + QR + RS + ST = PT

8 0
3 years ago
The sum of two numbers x and y is 18 and their difference is 14. how is that written as an equation
MrRa [10]

Answer:

16 and 2

Step-by-step explanation:

16+2=18

16-2=14

5 0
2 years ago
Determine if the function is an even function, an odd function or neither. > = −6x² – 5x² −2 even neither odd​
mel-nik [20]

Answer: even

Step-by-step explanation:

A function is even if f(x)=f(-x), and odd if f(x)=-f(-x). If a function satisfies neither of these, it is neither even nor odd.

f(x)_=-6x^{2}-5x^{2}-2=-11x^{2}-2\\\\f(-x)=-11(-x)^{2}-2=-11x^{2}-2\\\\\therefore f(x)=f(-x)

Therefore, the function is <u>even</u>.

6 0
2 years ago
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