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3 years ago

Two identical square pyramids were joined at their bases to form the composite figure below.

Mathematics

1 answer:

jok3333 [9.3K]3 years ago

3 0

Answer:

Step-by-step explanation:

The given options are

A. 8 (one-half (24) (5))

B. 8 (one-half (24) (13))

C. (24) (24) + 8 (one-half (24) (5))

D. (24) (24) + 8 (one-half (24) (13))

We, should know that, the base area is covered and it cannot be seen, so the shape does not have a physical base area.

Then,

We need to find the area of the 8 sides triangle that formed the pyramid

Area of a triangle is ½base × height

But for a pyramid the height is the slant height

Then, the eight triangles are identical

Then, the area of the eight triangles is

A = 8 × ½ base × slant height

From the diagram,

The base length is 24cm

And the slant height is 13cm

Then,

A = 8 × ½ b × l

A = 8 × one-half × 24 × 13

A = 8(one-half)(24)(13) cm²

So, the correct answer is B

Numeral value

A = 8 × ½ × 24 × 13

A = 1248 cm²

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Urban rail systems have been proposed to alleviate traffic congestion, but results in many cities have been cited as evidence th

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Answer:

C) fails to consider that commuting trips may cause significantly more than 20 percent of the traffic congestion

Step-by-step explanation:

The correct option is - C) fails to consider that commuting trips may cause significantly more than 20 percent of the traffic congestion

Reason -

Option A is incorrect because the statistics can not be incorrect.

Option B is incorrect because they are not talking about the city.

Option C is correct because Urban rail reduces congestion.

Option D is incorrect because the opposers cited the example of one city and the supporters are presenting evidence in the case of that city itself.

Option E is incorrect because they are providing an explanation for why the commuters data given by opposers is not relevant. The opposers talked about commuters.

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3 years ago

A car is purchased for $20, 000. Its value depreciates by 15% each year. Considering x equals the number of years, which equatio

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Answer:

20,000(x)^0.85 = 12,000

Step-by-step explanation:cd

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3 years ago

If EFG QRS, which statement is not correct

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Answer:

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2 years ago

If f'(x) and g'(x) exist and

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2 years ago

A random sample of 78 eighth grade students' scores on a national mathematics assessment test has a mean score of 284.

oksian1 [2.3K]

Answer:

a) In the step-by-step-explanation

b) z(s) = -2.46 corresponding area is 0.0069

P [ μ₀ > 275 ] is 0.0069 or 0.69 %

We reject H₀

Step-by-step explanation:

Normal distribution

Random sample

size sample 78 = n

population standard deviation σ = 32

The school administrator declare that mean score is more (bigger than)

275. So the hypothesis test should be:

H₀ null hypothesis μ₀ > 275 and

Hₐ alternative hypothesis μ₀ < 275

Is one tail test with α = 0,04 from tables we have z(c) = - 176

We proceed to compute z(s)

z(s) = [ (μ - μ₀) /( σ /√n) ] ⇒ z(s) = (- 9 *√78 )/ 32

z(s) = - (9*8.83)/32

z(s) = - 2.46 corresponding area is 0,0069

P [ z > 275 ] = 0.0069 or 0.69 %

The value for z(s) = - 2.46 is smaller than the critical value mentioned in problem statement z(c) = - 1.74 , the z(s) is in the rejection zone

Therefore we reject H₀

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3 years ago