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3 years ago

I need help quickly with these problems please see the images thank you so much

Mathematics

1 answer:

Ugo [173]3 years ago

3 0

By law of the sine we have:
sine (y) /35.2=sine (95) / 86
Clearing we have:
sine (y) = (sine (95) / 86) * (35.2)
y = asine ((sine (95) / 86) * (35.2))
y = 24.0632456
Rounding:
y = 24 degrees
Answer:
The answer for this case is given by:
y = 24 degrees
option 1

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Answer:

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Step-by-step explanation:

Shauna spent $175 on a pair of shoes.

She spent 1/9 of the remaining money on a shirt.

If he still had 4/7 of his money left,how much did he have at first ?

Solution:

Let at first, Shauna have = $x$

Money spent on a pair of shoes = $175

Remaining money = $x-175$

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As he still had $\frac{4}{7}$ of his money left:-

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Money left with Shauna = Total money, she had at first -(Money spent on a pair of shoes + Money spent on shirt )

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$\frac{4x}{7} =x-(\frac{175}{1} -\frac{175}{9} +\frac{x}{9} )\\\\ \frac{4x}{7} =x-(\frac{1575-175}{9} +\frac{x}{9} )\\\\ \frac{4x}{7}=x-(\frac{1400}{9} +\frac{x}{9} )\\ \\ \frac{4x}{7}=x-\frac{1400}{9} -\frac{x}{9}$

Subtracting both sides by $x$ and adding both sides by $\frac{x}{9}$

$\frac{4x}{7} -x+\frac{x}{9} =-\frac{1400}{9} -x+\frac{x}{9} +x-\frac{x}{9}$

Taking LCM of 7 and 9, we get 63

$\frac{36x-63x+7x}{63} =-\frac{1400}{9} \\ \\ -\frac{20x}{63}=-\frac{1400}{9}$

Adding both side by -

$\frac{36x-63x+7x}{63} =-\frac{1400}{9} \\ \\ \frac{20x}{63}=\frac{1400}{9}$

By cross multiplication:

$20x\times9=1400\times63\\180x=88200\\$

Dividing both sides by 180

$x=490$

Therefore, total $490, she had at first.

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