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3 years ago

PLEASE HELP and explain how you got the answer!!

Mathematics

1 answer:

maxonik [38]3 years ago

7 0

9514 1404 393

Answer:

256,096 ft²

Step-by-step explanation:

Pyramid Area

Each of the four faces is a triangle with a base of 756 feet and a height of 612 feet. The area of that triangle is ...

A = 1/2bh

A = 1/2(756 ft)(612 ft) = 231,336 ft²

The total area of the four visible faces of the Great Pyramid is ...

pyramid area = 4 × 231,336 ft² = 925,344 ft²

WTC Area

Each of the four rectangular side faces of the WTC tower has a base length of 208 ft and a height of 1368 ft. The area of it is ...

A = LW = (208 ft)(1368 ft) = 284,544 ft²

The area of the square top of the tower has an area that is ...

A = s² = (208 ft)² = 43,264 ft²

The total area of the four visible sides and the top is ...

WTC tower area = 4 × 284,544 ft² +43,264 ft² = 1,181,440 ft²

The difference between the areas is ...

WTC tower area - Great Pyramid area =

1,181,440 ft² -925,344 ft² = 256,096 ft²

The difference in visible area is 256,096 ft².

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Identify a possible first step using the elimination method to solve the system and then find the solution to the system. 3x - 5

Nastasia [14]

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

3x - 5y = - 2 → (1)

2x + y = 3 → (2)

Multiply (2) by 5 will eliminate y when added to (1), that is

10x + 5y = 15 → (3)

Add (1) and (3) term by term

(3x + 10x) + (- 5y + 5y) = (- 2 + 15)

13x = 13 ( divide both sides by 13 )

x = 1

Substitute x = 1 into (2) for corresponding value of y

2 + y = 3 ⇒ y = 3 - 2 = 1

Solution is (1, 1)

7 0

3 years ago

Read 2 more answers

Three consecutive even numbers add up to a number between 100 and 120 what might the number be?

Rzqust [24]

The number can be 102, 108, or 114. They can all be formed that way.

32 + 34 + 36 = 102
34 + 36 + 38 = 108
36 + 38 + 40 = 114

The next one is 120 . . . . . 38 + 40 + 42

7 0

3 years ago

HELP ASAP!!

Tresset [83]

By definition, two angles are supplementary if the sum of them is 180 degrees. In this case (see figure attached with the answer) the line AD is transversal to lines AB and DC. This is a proof of the Same-side interior angle theorem.

This theorem states that if we have two lines that are parallel and we intercept those two lines with a line that is transversal to both, same-side interior angles are formed, and also sum 180º, in other words, they are supplementary angles.

Then:

By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are same-side interior angles. Because AB and DC are parallel, the same-side interior angles must be supplementary by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.

3 0

3 years ago

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Expansion Numerically Impractical. Show that the computation of an nth-order determinant by expansion involves multiplications,

posledela

Answer:

number of multiplies is n!
n=10, 3.6 ms
n=15, 21.8 min
n=20, 77.09 yr
n=25, 4.9×10^8 yr

Step-by-step explanation:

Expansion of a 2×2 determinant requires 2 multiplications. Expansion of an n×n determinant multiplies each of the n elements of a row or column by its (n-1)×(n-1) cofactor determinant. Then the number of multiplies is ...

mpy[n] = n·mp[n-1]

mpy[2] = 2

So, ...

mpy[n] = n! . . . n ≥ 2

If each multiplication takes 1 nanosecond, then a 10×10 matrix requires ...

10! × 10^-9 s ≈ 0.0036288 s ≈ 0.004 s . . . for 10×10

Then the larger matrices take ...

n=15, 15! × 10^-9 ≈ 1307.67 s ≈ 21.8 min

n=20, 20! × 10^-9 ≈ 2.4329×10^9 s ≈ 77.09 years

n=25, 25! × 10^-9 ≈ 1.55112×10^16 s ≈ 4.915×10^8 years

_____

For the shorter time periods (less than 100 years), we use 365.25 days per year.

For the longer time periods (more than 400 years), we use 365.2425 days per year.

8 0

4 years ago

Metrics are based on the british system of weights and measures. true false

HACTEHA [7]

I looked it up, and it said false.

4 0

3 years ago

Read 2 more answers

*PLEASE HELP and explain how you got the answer!!*

PLEASE HELP and explain how you got the answer!!