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d1i1m1o1n [39]
3 years ago
8

A long distance runner does a first lap around a track in exactly 50 seconds.As she tires.Each subsequent lap takes 20% longer t

han previous one.How long does she take to run 3 laps?
Mathematics
1 answer:
madreJ [45]3 years ago
6 0

Answer:

182 seconds

Step-by-step explanation:

Given:

Time taken for first lap is 50 seconds and each subsequent lap takes 20% longer than previous

Solution:

Time taken for first lap = 50 sec

For second lap

Each subsequent lap takes 20% longer than previous

Previous lap time = 50 sec

second lap = 50 + 20% of 50

second lap =50+(\frac{20}{100}\times 50)

second lap = 50 + 10

second lap = 60\ sec

For third lap

Each subsequent lap takes 20% longer than previous

Previous lap time = 60 sec

Third lap = 60 + 20% of 60

Third\ lap = 60 + (\frac{20}{100}\times 60)

Third\ lap = 60+2\times 6

Third\ lap = 60+12

Third\ lap = 72\ sec

Time taken for 3 laps is equal to sum of all three laps time.

Tiem\ taken\ for\ 3\ lap = 50+60+72

Tiem\ taken\ for\ 3\ lap = 182\ sec

Therefore, it takes 182 seconds (3 min, 2 seconds) to run three laps

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Land in downtown Columbia is valued at $10 a square foot. What is the value of a triangular lot with sides of lengths 119, 147,
stiks02 [169]

Answer:

$87,461

Step-by-step explanation:

Given that the dimensions or sides of lengths of the triangle are 119, 147, and 190 ft

where S is the semi perimeter of the triangle, that is, s = (a + b + c)/2.

S = (119 + 147 + 190) / 2 = 456/ 2 = 228

Using Heron's formula which gives the area in terms of the three sides of the triangle

= √s(s – a)(s – b)(s – c)

Therefore we have = √228 (228 - 119)(228 - 147)(228 - 190)

=> √228 (109)(81)(38)

= √228(335502)

=√76494456

= 8746.1109071 * $10

= 87461.109071

≈$87,461

Hence, the value of a triangular lot with sides of lengths 119, 147, and 190 ft is $87,461.

6 0
3 years ago
What is the slope of the equation below? 4x+5y= 10
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Answer:

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Step-by-step explanation:

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How many numbers bewteen 50 and 150 have at least one digit that is 2
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Answer:

52 62 72 82 92 102 112 120 121 122 123 124 125 126 127 128 129 132 142

there are 19.

Step-by-step explanation:

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3 years ago
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Adrian earns $3600 per month. he spends 1/4 of his income on rent, 2/5 on food, 1/9 on activities, and he saves the rest. how mu
murzikaleks [220]

he saves $860 per month

calculate each of his outgoings

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savings = $3600 - ( 900 + 1440 + 400 ) = $860


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