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In-s [12.5K]
2 years ago
8

If 70% of a number is 42 and 15% of the same number is 9, find 85% of that number.

Mathematics
2 answers:
BigorU [14]2 years ago
6 0

Answer:  51

Step-by-step explanation:

let x be the number.

(70%)x = 42

0.7 x = 42

x = 60

we check 15% x 60 = 0.15 x 60 = 9, which is true.

85% of that number = 85% x 60 = 0.85 x 60 = 51.

Nadya [2.5K]2 years ago
4 0

Answer:

51

Step-by-step explanation:

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Nadia runs 8 miles each weekend. How many yards does Nadia run each weekend
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9514 1404 393

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  y = -2

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Find the exact value of cos(a+b) if cos a=-1/3 and cos b=-1/4 if the terminal side if a lies in quadrant 3 and the terminal side
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Answer:

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Step-by-step explanation:

cos(a + b) = cos(a).cos(b) - sin(a).sin(b) [Identity]

cos(a) = -\frac{1}{3}

cos(b) = -\frac{1}{4}

Since, terminal side of angle 'a' lies in quadrant 3, sine of angle 'a' will be negative.

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sin(b) = -\sqrt{1-(-\frac{1}{4})^2}

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                = \frac{1}{12}(1-\sqrt{120})

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Therefore, cos(a + b) = \frac{1}{12}(1-2\sqrt{30})

5 0
3 years ago
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