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Marta_Voda [28]
3 years ago
11

Steve goes on a 40-km bike ride. He covers the first half of the distance averaging a speed of 15 km/hr. In order to average 20

km/hr for the entire trip, how many kilometers per hour must his average speed be during the second half of the trip?
Mathematics
2 answers:
Debora [2.8K]3 years ago
7 0

Answer:

30 km/hr

Step-by-step explanation:

Leviafan [203]3 years ago
6 0

Answer:

Speed required to cover second half of distance = 30 km/hr

Step-by-step explanation:

Total distance Steve traveled = 40 km

He covers the first half of the distance averaging a speed of 15 km/hr.

So he covers 20 km at a speed of 15 km/hr.

\texttt{Time taken to cover first half = }\frac{20}{15}=1.33 hours

We need to find in order to average 20 km/hr for the entire trip , how many kilometers per hour must his average speed be during the second half of the trip.

\texttt{Total time taken = }\frac{40}{25}=2 hours

So he need to cover second half distance in (2 - 1.33) hours = 0.67 hours.

\texttt{Speed required = }\frac{20}{0.67}=30 km/hr

Speed required to cover second half of distance = 30 km/hr

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The sides of a triangular plot are in the ratio of 3 : 5 : 7 and its perimeter is 300 m. Find its area. (Use 3 = 1.73)
eduard

Answer:

2598 units²

Step-by-step explanation:

Sum the parts of the parts of the ratio 3 + 5 + 7 = 15 parts

Divide the perimeter by 15

300 ÷ 15 = 20 ← value if 1 part, thus sides of triangle are

3 × 20 = 60

5 × 20 = 100

7 × 20 = 140

Using Hero's formula to calculate the area

A = \sqrt{s(s-a)(s-b)(s-c)}

where s is the semi perimeter and a, b , c are the sides of the triangle

s = 300 ÷ 2 = 150

let a = 60, b = 100 and c = 140, then

A = \sqrt{150(150-60)(150-100)(150-140)}

   = \sqrt{150(90)(50)(10)}

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3 years ago
Nardia plots points showing equivalent ratios on the coordinate plane below. Mc018-1. Jpg Which ordered pair would represent a r
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The ordered pair that would represent a ratio that is equivalent to those shown is (8, 12)

<h3>Ratio and proportions</h3>

From the given diagram, we can create two coordinate points which are (2, 3) and (4, 6)

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Multiplying the coordinate by a scale factor of 4 will give

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Hence the ordered pair that would represent a ratio that is equivalent to those shown is (8, 12)

Learn more on coordinate pair here: brainly.com/question/1528681

7 0
3 years ago
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