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nexus9112 [7]
3 years ago
10

The dimensions of a rectangular piece of paper are 8.5 inches and 11 inches. Veronica folded the piece of paper along its diagon

al. Which measurement is closest to the length of the diagonal in inches? A) 6.24 in. B) 19.5 in. C) 6.98 in. D) 13.9 in.
Mathematics
1 answer:
Mashutka [201]3 years ago
3 0

Answer:

D) 13.9 in

Step-by-step explanation:

The diagonal of a rectangle is longer than the longest side. It will never be more than 42% of the shortest side longer than the longest side.

Here, the longest side is 11 inches. 42% of the shortest side is about 3.6 inches, so the diagonal length will be between 11 and 14.6 inches. Only one answer choice is in that range: 13.9 in.

Of course, the length of the diagonal can be figured to any desired accuracy using the Pythagorean theorem.

... √(8.5² +11²) = √193.25 ≈ 13.9014 . . . . inches

_____

<em>Comment on the solution</em>

For this multiple-choice problem, it is sufficient to estimate the length of the diagonal. The estimate we suggested was to add 0.42 times the short side to the long side.

An even closer estimate can be had by multiplying that value (.42×short side) by the ratio of the short to long sides prior to adding it to the long side. This will get you within 1.5% of the correct value without the need for a square root.

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Nata [24]

Answer:

Step-by-step explanation:

I don't understand what the numbers before the language mean. I will answer the questions that have a definite language.

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6 0
3 years ago
Micah drew a map of his neighborhood. The actual distance from his house to the school is 5.75 miles. What is the actual distanc
Elan Coil [88]

Answer:

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Step-by-step explanation:

A scale factor (SF) is the ratio of two corresponding lengths in similar figures.

SF = actual distance/map distance = 5.75 mi/2 in

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On the map, the distance from the library to the park is 1 in, so the actual distance is 2.875 mi.

3 0
3 years ago
Read 2 more answers
Explain why the graphing calculator cannot be used to solve or approximate solutions to all polynomial equations.
Triss [41]

Did your explanation include the following?

Some polynomial equations have complex solutions.

Therefore, complex solutions cannot be found by graphing the related system or function in the Cartesian (x-y) plane.

Polynomial functions with all complex solutions do not have x-intercepts, and the related system of equations will not intersect.

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The new number, 200, 400 less than the original number. What approximate percent change?
Kay [80]

Answer:

The percent change is approximately 66%.

Hope this helps <3

Step-by-step explanation:

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