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Alik [6]
3 years ago
11

(please explain clearly, I am very tired) Find the surface area of the composite figure.

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
8 0

Answer:

644

Step-by-step explanation:

SA=[2×(5×20 + 5×6 + 20×6)] +

[2×(4×12 + 4×6 + 12×6)] -

[ 2× 12×6]

= [2×(250)]+[2×(144)] - [144]

= 500+288-144

= 644 cm²

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x = 29 degrees

Step-by-step explanation:

We know that all of the angles inside of a right triangle add up to 180. We also know that a right angle is 90 degrees. We can do 61 + 90 = 151. 180 - 151 = 29. This means that x = 29 degrees.

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Use the given confidence interval limits to find the point estimate p^ and the margin of error E. 0.325
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Answer:

0.350

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Confidence interval = point estimate ± margin of error

Point estimate = Confidence interval - margin of error

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Margin of error = 0.375-0.325/2

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Before going to school, Eudora ran from her home to a secret laboratory at an average speed of 12 km. Since she was running late
Brrunno [24]

Answer:

Eudora spent 0.5 hours in running and 1.5 hours flying using her jet-pack.

Step-by-step explanation:

Let x represent time spent in running.

We have been given that the entire trip took 2 hours, so time spent in flying the jet-packs would be 2-x.

We know that distance is equal to speed times time.

\text{Distance}=\text{Speed}\times\text{Time}

Eudora ran from her home to a secret laboratory at an average speed of 12 km, so distance traveled by running would be 12x.

Eudora took one of her jet-packs and flew to her school at an average speed of 76 km, so distance covered by jet-packs would be 76(2-x).

We are told that Eudora traveled a total distance of 120 km. We can represent this information in an equation as:

12x+76(2-x)=120

12x+152-76x=120

Combine like terms:

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\frac{-64x}{-64}=\frac{-32}{-64}

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Therefore, Eudora spent 0.5 hours in running.

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Therefore, Eudora spent 1.5 hours flying using her jet-pack.

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