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anzhelika [568]

1 year ago

7

A private grassland has an area of 2/5km squared. The owner of the garden buys an extra of 1/3km squared of land from the neighb

our to make his grassland bigger. What is the new size of the grassland?

1 answer:

dezoksy [38]1 year ago

6 0

Answer:

11/15 km

Step-by-step explanation:

Simply sum the areas:

2/5 + 1/3 = (6 + 5)/15 = 11/15

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Sin α = 21/29, α lies in quadrant II, and cos β = 15/17, β lies in quadrant I Find sin (α - β).

Sever21 [200]

$\sin(\alpha-\beta)=\sin\alpha\cos\beta-\cos\alpha\sin\beta$

$\sin\alpha=\dfrac{21}{29}\implies \cos^2\alpha=1-\sin^2\alpha=\dfrac{400}{841}$

Since $\alpha$ lies in quadrant II, we have $\cos\alpha$ , so

$\cos\alpha=-\sqrt{\dfrac{400}{841}}=-\dfrac{20}{29}$

$\cos\beta=\dfrac{15}{17}\implies\sin^2\beta=1-\cos^2\beta=\dfrac{64}{289}$

$\beta$ lies in quadrant I, so $\sin\beta>0$ and

$\sin\beta=\sqrt{\dfrac{64}{289}}=\dfrac8{17}$

So

$\sin(\alpha-\beta)=\dfrac{21}{29}\dfrac{15}{17}-\left(-\dfrac{20}{29}\right)\dfrac8{17}=\dfrac{475}{493}$

8 0

3 years ago

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Scrat [10]

Answer:

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Step-by-step explanation:

4 0

3 years ago

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Gwar [14]

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kirill115 [55]

Boleh translate in Malay?

6 0

3 years ago

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alex41 [277]

Hey number 8. Be super careful, less than always look at that it should be 5n-3

3 0

3 years ago