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3 years ago

Please help me!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

anzhelika [568]3 years ago

8 0

The y equals to -x. the x values are being multiplied by -1.

so your answer is simply
y = -x

hope this helped! :)

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A golfer hits an errant tee shot that lands in the rough. A marker in the center of the fairway is 150 yards from the center of

Gwar [14]

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

<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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2 years ago

The ratio of boys to girls in a classroom is 5:6. If there are 55 students in total, how many more girls are there than boys?

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Answer: there are 5 more girls than boys.

Step-by-step explanation:

The ratio of boys to girls in a classroom is 5:6. The total ratio is the sum of the proportion. It becomes 5 + 6 = 11

If there are 55 students in total, it means that the number of boys in the class is

5/11 × 55 = 25 boys

Also, the number of girls in the class is

6/11 × 55 = 30 girls

Therefore, the difference between the number of girls and boys in the class is

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Step-by-step explanation:

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