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Work out $$ rac{2.5 imes ext{sin}(43^ ext{o})}{ ext{√}(8.2^{2}) - 0.5}$$ Give your answer correct to 3 significant figures. - Edexcel - GCSE Maths - Question 8 - 2019 - Paper 3

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Question 8

Work-out--$$-rac{2.5--imes--ext{sin}(43^-ext{o})}{-ext{√}(8.2^{2})---0.5}$$--Give-your-answer-correct-to-3-significant-figures.-Edexcel-GCSE Maths-Question 8-2019-Paper 3.png

Work out $$ rac{2.5 imes ext{sin}(43^ ext{o})}{ ext{√}(8.2^{2}) - 0.5}$$ Give your answer correct to 3 significant figures.

Worked Solution & Example Answer:Work out $$ rac{2.5 imes ext{sin}(43^ ext{o})}{ ext{√}(8.2^{2}) - 0.5}$$ Give your answer correct to 3 significant figures. - Edexcel - GCSE Maths - Question 8 - 2019 - Paper 3

Step 1

Calculate the numerator: $2.5 \times \text{sin}(43^\circ)$

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Answer

First, we compute the sine of 43 degrees:

sin(43∘)≈0.68199\text{sin}(43^\circ) \approx 0.68199

Now, we multiply this by 2.5:

2.5×0.68199≈1.7049752.5 \times 0.68199 \approx 1.704975

Step 2

Calculate the denominator: $\text{√}(8.2^{2}) - 0.5$

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Answer

Calculating 8.228.2^{2} gives:

8.22=67.248.2^{2} = 67.24

Now, taking the square root:

√(67.24)≈8.2\text{√}(67.24) \approx 8.2

So, the denominator becomes:

8.2−0.5=7.78.2 - 0.5 = 7.7

Step 3

Combine the results: $\frac{1.704975}{7.7}$

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Answer

Now, divide the results from the numerator and denominator:

1.7049757.7≈0.2212\frac{1.704975}{7.7} \approx 0.2212

Rounding this to 3 significant figures gives:

0.2210.221

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