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2 years ago

An office and apartment building is made up of modules. Each module is a rectangular

Mathematics

1 answer:

Oksana_A [137]2 years ago

4 0

Answer:

(a)10 modules per floor

(b)Two different rectangular prism

Step-by-step explanation:

Part A

Number of modules=130

Number of stories=13

Since all of the modules were divided evenly among the number of stories:

Number of module per floor =130÷13=10 modules per floor

There would be 10 modules on each floor.

Part B

Next, we determine how many different rectangular prisms could be made from the number 10 derived above.

Step 1: List the factors of 10

Factors of 10 are: 1,2,5 and 10

Step 2:

Form a product of three terms which equals 10 using the factors derived above. We have two possible combinations:

10×1×1
2×5×1

Therefore, two different rectangular prisms could be made from the number of modules on each floor.

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The wingspans of a common species of housefly are normally distributed with a mean of 5mm and a standard deviation of 0.5mm. Sup

Anuta_ua [19.1K]

Answer:

Approximately Normal

Step-by-step explanation:

Since the population is normally distributed, the sampling distribution of the sample mean will also be normally distributed, even when the sample size is small.

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1 year ago

Given the figure above, determine

tensa zangetsu [6.8K]

Answer: Angle 2 = 47 degree

Explanation:

Proof that triangle ACB ~ triangle CBD

Angle ABC = Angle CBD (same angle)

If one pair of the angle is the same then the other pair should also be equal because both the triangle are Isosceles.

=> angle ACD = Angle CDB

Therefore, triangle ACB ~ triangle CBD (AA)

=> angle C = Angle A

But angle A = 47 degree

Therefore, Angle C = Angle 2 = 47 degree

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2 years ago

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Setler79 [48]

Step-by-step explanation:

Step 1: Answer the question

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2 years ago

Read 2 more answers

The volume of a pyramid varies jointly as the height and the area of the base. If a pyramid has the measurements V=1144

Naddika [18.5K]

Answer:

11040 m³
k ≈ 0.33
V = (1/3)Bh

Step-by-step explanation:

The given relation is ...

V = kBh . . . . . for some base area B, height h, and constant of variation k

We are given length and width of the base so we presume it is a rectangle.

B = l·w = 8·11 = 88 . . . . square meters

The given volume tells us the value of k:

1144 = k(88)(39) . . . . . . cubic meters

1144/3432 = k = 1/3 ≈ 0.33

The value of k is about 0.33.

Then the volume of the larger pyramid is ...

V = (1/3)(15 m)(46 m)(48 m) = 11,040 m³

The general relationship is ...

V = 1/3Bh

7 0

2 years ago

Social studies Geometry P.11 Similarity and altitudes in right triangles CEZ You have priz If SU = 28 and UV = 6, what is TU? T

Alex777 [14]

Answer:

TU ≈ 12.96

Step-by-step explanation:

Using the Altitude on Hypotenuse theorem

(leg of outer triangle)² = (part of hypotenuse below it) × (whole hypotenuse)

TU² = UV × SU = 6 × 28 = 168 ( take square root of both sides )

TU = $\sqrt{168}$ ≈ 12.96 ( to the nearest hundredth )

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2 years ago