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3 years ago

PLZ ANSWER THIS SCRENNSHOT

Mathematics

1 answer:

7nadin3 [17]3 years ago

8 0

Answer:

Step-by-step explanation:

The question states that Dimitri payed the same price for all stocks, so they can all be represented as x. The question will be easier to understand if we line up the stock changes in least to greatest order:

- 10.10 - 4.15 - 3.55 + 1.30 + 8.75

D A E B C

x is the original price, not one with an increase or decrease, so it is at 0.

- 10.10 - 4.15 - 3.55 x + 1.30 + 8.75

D A E B C

x is between - 3.55 and + 1.30, yet 1.30 is closer to 0, so + 1.30 is the closest to x, or the purchase price.

The answer is B, hope this helps :)

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$\bold{\huge{\underline{ Solution}}}$

<h3>Given :-</h3>

A marker in the center of the fairway is 150 yards away from the centre of the green
While standing on the marker and facing the green, the golfer turns 100° towards his ball
Then he peces off 30 yards to his ball

We have to find the distance between the golf ball and the center of the green .

<h3>Let's Begin :-</h3>

Let assume that the distance between the golf ball and central of green is x

Here, 

Distance between marker and centre of green is 150 yards
That is, Height = 150 yards
For facing the green , The golfer turns 100° towards his ball
That is, Angle = 100°
The golfer peces off 30 yards to his ball
That is, Base = 30 yards

According to the law of cosine :-

$\bold{\red{ a^{2} = b^{2} + c^{2} - 2ABcos}}{\bold{\red{\theta}}}$

Here, a = perpendicular height
b = base
c = hypotenuse
cos theta = Angle of cosine

So, For Hypotenuse law of cosine will be :-

$\sf{ c^{2} = a^{2} + b^{2} - 2ABcos}{\sf{\theta}}$

Subsitute the required values,

$\sf{ x^{2} = (150)^{2} + (30)^{2} - 2(150)(30)cos}{\sf{100°}}$

$\sf{ x^{2} = 22500 + 900 - 900cos}{\sf{\times{\dfrac{5π}{9}}}}$

$\sf{ x^{2} = 22500 + 900 - 900( - 0.174)}$

$\sf{ x^{2} = 22500 + 900 + 156.6}$

$\sf{ x^{2} = 23556.6}$

$\bold{ x = 153.48\: yards }$

Hence, The distance between the ball and the center of green is 153.48 or 153.5 yards

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