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REY [17]
3 years ago
11

Please help with math

Mathematics
1 answer:
Shtirlitz [24]3 years ago
5 0
1.) - sqrt. 2 (which, in decimal, is about -1.4142…) , 0, sqrt. 5 (which, in decimal, is about 2.2360…) , 13/4

2.) -1.5, 3/4 (which, in decimal, is 0.75) , 3, sqrt 10 (which, in decimal, is about 3.1622…)

3.) -3/2 (which, in decimal, is -1.5), -3/7 (which, in decimal, is about -0.4285…) , 0.75, 2
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A race course is 26.2 miles long. Of the entire race course, 5% is uphill. How many miles of the race course are uphill?
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Answer:

1.31 miles of the race course are uphill

Step-by-step explanation:

Divide 5 × 26.2 miles by 100 and you'll get 1.31 miles.

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There were 60 ducks living in a pond. If the number living at the pond increased by 30%, how many ducks now live at the pond?
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Answer:

78

Step-by-step explanation:

You take the original total: 60, and multiply it by 30 to get 1,800. You then divide 1,800 by 100 to get 18. 18 is your 30%. Now, you add the 30% to 60 getting your total number of ducks: 78.

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\frac{a}{60} = \frac{30}{100}

It is just proportions.

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Step-by-step explanation:

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2 years ago
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Tan^2 70° -sec^2 70°​
kipiarov [429]

Answer:

-1

Step-by-step explanation:

We need to find the value of tan² 70° -sec² 70°​.

We know that,

\sec^2\theta-\tan^2\theta=1 ...(1)

We can write the given expression as :

tan² 70° -sec² 70° = -(-tan² 70° +sec² 70°)

=-(sec² 70°-tan² 70°)

Using identity (1)

=-(1)

= -1

Hence, the value of the given expression is -1.

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