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arsen [322]
3 years ago
6

Oliver bought a scarf that costs 8 dollars and a watch that costs 9 dollars. At the counter he received a discount. If he paid o

nly 13 dollars, how many dollars was the discount.
Mathematics
1 answer:
Alex787 [66]3 years ago
7 0

Answer: 4

Step-by-step explanation:8 + 9 = 17 you take what he paid 13 and subtract 13 from 17 and you get 4. 4 is how many dollars off he got.

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A string of a kite is 100 meters long and it makes an angle of 60° with horizontal. Find the height of the kite and then find th
MAXImum [283]

Answer:

Height of the kite is =50 \sqrt{3} meters.

Ground distance from the kite to the person flying the kite is 50 meters.

Step-by-step explanation:

Given that a string of a kite is 100 meters long and it makes an angle of 60° with horizontal.

Which mans we are getting a shape of right angle triangle as shown in picture. Where "y" is the height of the kite and "x" is the ground distance from the kite to the person flying the kite. Now we can use trigonometric ratios to find the values of x and y.


\sin\left(60^o\right)=\frac{\left[opposite\right]}{\left[hypotenuse\right]}=\frac{y}{100}

\sin\left(60^o\right)=\frac{y}{100}

\frac{\sqrt{3}}{2}=\frac{y}{100}

\frac{\sqrt{3}}{2}*100=y

50 \sqrt{3}=y

Hence height of the kite is =50 \sqrt{3} meters.


similarly:


\cos\left(60^o\right)=\frac{\left[adjcent\right]}{\left[hypotenuse\right]}=\frac{x}{100}

\cos\left(60^o\right)=\frac{x}{100}

\frac{1}{2}=\frac{x}{100}

\frac{1}{2}*100=x

50=x

Hence ground distance from the kite to the person flying the kite is 50 meters.


6 0
3 years ago
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