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2 years ago

Use the distributive property to simplify the expression (5n+3)12

Mathematics

1 answer:

Fudgin [204]2 years ago

4 0

Answer:

60n+36

Step-by-step explanation:

12*5n+12*3=60n+36

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70:100 in whole form

taurus [48]

The Answer Would Be 70

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2 years ago

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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

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Jet001 [13]

C.25 because 11-6 is five 13-8 is five and 15-10 is five so 25-20 is five

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2 years ago

Please solve the complex number by finding the complex conjugate.Correct answer will get brainliest!

jasenka [17]

-2 - 2i*square root of 11/483

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1 year ago

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3+(-h)+(-4)where h = -7.

Lina20 [59]

Answer:

Step-by-step explanation:

3+(-h)+(-4)

Let h = -7

3+(- -7)+(-4)

3+(7)+(-4)

10 -4

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3 years ago