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murzikaleks [220]
4 years ago
9

A marathon runner runs 7.6 mph for 3 and half hours how many miles has he run

Mathematics
1 answer:
igomit [66]4 years ago
6 0
7.6 x 3.5 = 26.6 miles 
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the length of a pool 2 km long is represented on a map with a length of 20cm. what is the map scale used?​
goldenfox [79]

Answer:

The scale used is 1: 10,000 cm.

Step-by-step explanation:

Given that the length of a pool 2 km long is represented on a map with a length of 20cm, to determine what is the map scale used the following calculation must be performed:

2 km = 2,000 m

1m = 100cm

2,000 x 100 = 200,000

20: 200,000

10: 100,000

1: 10,000

Thus, the scale used is 1: 10,000 cm.

4 0
3 years ago
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How would you prove this trigonomic identity? Please show steps.
Agata [3.3K]

Start by combining the fractions:

\dfrac{\cos\alpha}{1+\sin\alpha}\cdot\dfrac{1-\sin\alpha}{1-\sin\alpha}+\dfrac{\cos\alpha}{1-\sin\alpha}\cdot\dfrac{1+\sin\alpha}{1+\sin\alpha}

\dfrac{\cos\alpha(1-\sin\alpha)+\cos\alpha(1+\sin\alpha)}{(1+\sin\alpha)(1-\sin\alpha)}

\dfrac{2\cos\alpha}{1-\sin^2\alpha}

Recall the Pythagorean identity:

\dfrac{2\cos\alpha}{\cos^2\alpha}

Then cancel a factor of \cos\alpha and use the definition of secant:

\dfrac2{\cos\alpha}=\boxed{2\sec\alpha}

4 0
3 years ago
Help me, please !!!!
ehidna [41]
20 and 3/4 is 20.75
20 and 7/8 is 20.875
20 and 1/5 is 20.2
20 and 4/5 is 20.8
7 0
3 years ago
Identify the dollar amount due on a sample of 49 credit cardsModeMedianmean
Anvisha [2.4K]

Given:

Identify the dollar amount due on a sample of 49 credit cards.

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1 year ago
3/10 as an equivalent fraction with a denominator of 100
viktelen [127]
30/100.

To get to this, you need to change the denominator to 100. 10 x 10 = 100 so whatever you do to the denominator, you do to the numerator. 3 x 10 = 30 so your answer would be 30/100.
8 0
3 years ago
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