Mathematics: Samantha answered 60 questions correctly on her multiple choice math final and earned a grade of 75%. How many total questions were on the final exam?

Samantha answered 60 questions correctly on her - id606127671, RickyGotFanz4867

Harini5721

29.11.2022

B. 11.4 mi

C. 2.6 mi

Step-by-step explanation:

You can find the length of the diagonal using the Pythagorean theorem.

Where a and b are sides of a triangle, the hypotenuse c (the diagonal) is

$c^2 = a^2 + b^2\\c = \sqrt{a^2+b^2}$

In our problem, the sides a and b are the lengths FG and GH.

The diagonal is FH. Thus:

$FH = \sqrt{FG^2+GH^2}$

FG = 5 mi

GH = 4 mi

$FH = \sqrt{5^2+4^2}=\sqrt{25+16}=\sqrt{41}=6.40312424$

Since we're rounding to the nearest tenth of a mile, we can say that the length of the proposed road FH is 6.4 miles.

The entire distance from EH would be EF + FH.

Since EF is 5 miles, the entire distance EH using the proposed road would be:

EH = EF + FH

EH = 5 + 6.4

EH = 11.4

11.4 miles

To answer the last question, we need the distance using existing rods.

The distance EH using existing roads is EG + GH.

EG = 10 mi

GH = 4 mi

EH = 10 + 4 = 14

Using existing roads, the distance is 14 miles.

To find the difference, we'll just subtract the 2 values.

14 - 11.4 = 2.6

2.6 miles

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