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lys-0071 [83]
3 years ago
10

Please help with this word problem would be a huge help!!

Mathematics
1 answer:
Verdich [7]3 years ago
5 0

Answer:

11.2 miles

Step-by-step explanation:

What has been describe here is a right triangle.

He went 10 miles east, and he turned left and went 5 miles.  He started at home ended at work.  We want to make a road from his home directly to his workplace (no turns; straight there).

So we have by Pythagorean Theorem:

5^2+10^2=c^2

25+100=c^2

125=c^2

Square root both sides:

\sqrt{125}=c

11.2 \approx c

11.2 miles would be the length of that direct path.

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If a quadratic equation only has one root, that's a repeated root corresponding to a discriminant of zero.

In this example our equation is something like 2(x+3)^2=0, or expanded

2x^2+12x + 18 = 0

The discriminant d=b^2-4ac here is

d = 12^2 - 4(2)(18) = 0 \quad\checkmark


7 0
3 years ago
Hint: 1 mile = 5280 feet
Ghella [55]

Answer: 4 miles

Step-by-step explanation:

5 0
3 years ago
Is the following situation represented by a positive integer, a negative integer, or zero? Sami was sick last week and lost 2 po
Paha777 [63]

Answer:

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Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
30 men repair a road in 56 days by working 6 hours daily. in how many days 45 men will repair same road by working 7 hours daily
zepelin [54]

Answer:

Case1:

Men : 30

Work : 1

Time (day×hr): 56×6 = 336 hr.

Case2:

Men : let it be m men.

Work: 1

Time: 45×7 = 315 hr.

Work being constant in both cases, men and time are in inverse proportion i.e, more men take less time.

Product of men and time is constant in both cases.

Therefore, 30×336=m×315

Or, 30×336/315 = m

Or, m = 32.

Hence, required number of men is 32.

Step-by-step explanation:

8 0
3 years ago
Estimate 25.65 + 13.23 + 6.35 by rounding each number to the nearest tenth.
sergij07 [2.7K]

Answer:

  • b. 25.7 + 13.2 + 6.4 = 45.3

Step-by-step explanation:

25.65 ≈ 25.7, 13.23 ≈ 13.2, 6.35 ≈ 6.4

  • 25.65 + 13.23 + 6.35 =
  • 25.7 + 13.2 + 6.4 =
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Correct choice is b.

5 0
3 years ago
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