Answer: 43690
Step-by-step explanation:
She would have to take 5.29 miles to save round-trip if she had taken the direct route.
<h3>What is the
Pythagoras theorem?</h3>
The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
The direct route from Marta's apartment to work is a road that is a straight line. The road is closed for repairs.
Marta had to drive 8 miles west and then 6 miles south to get to work. She returned home by the same route.
Let's consider x to be the direct route.
By Pythagoras theorem, we can find the direct route
![x^{2} = 8^{2} +6^{2} \\\\x^{2} = 64 - 36\\\\x^{2} = 28\\\\x= \sqrt{28} \\\\x= 5.29](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%3D%208%5E%7B2%7D%20%2B6%5E%7B2%7D%20%5C%5C%5C%5Cx%5E%7B2%7D%20%3D%2064%20-%2036%5C%5C%5C%5Cx%5E%7B2%7D%20%3D%2028%5C%5C%5C%5Cx%3D%20%5Csqrt%7B28%7D%20%5C%5C%5C%5Cx%3D%205.29)
Thus, She would have to take 5.29 miles to save round-trip if she had taken the direct route.
Learn more about Pythagoras theorem;
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Answer:
43.96
Step-by-step explanation:
ok so you use the formula: A= 3.14•r•2 next you plug in your values a=3.14•7•2 3.14•7= 28.98•2=43.96
Answer is D) 5 mc, 15 t&f
you have two unknown variables, thus you need two equations
definitions:
a = quantity of multiple choice questions
b = quantity of true and false questions
100 points = a*11 points/question + b*3 points/question
20 questions = a +b
using 2nd equation, find equation for 'a':
a = 20 - b
substitute this equation for 'a' into 1st equation:
100 = 11a + 3b
100 = 11(20 - b) + 3b
100 = 220 - 11b + 3b
100 - 220 = -8b
-120 = -8b
-120/-8 = b
15 = b
resolve 2nd equation now knowing value of 'b':
a = 20 - b
a = 20 - 15
a = 5
verify solution is correct by substituting values into first equation
11a + 3b = 100
11(5) + 3(15) = 100
55 + 45 = 100
100 = 100 [OK]
verify solution is correct by substituting values into second equation
a + b = 20
5 + 15 = 20
20 = 20 [OK]