How do I write this into an inequality? : The sum of two numbers is at most 5, and one of the numbers is -2.

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

5 0

2 years ago

An ice-skating rink hosts different events on different days of the week they keep track of ages of the people who attended the

hjlf

Answer:

i think it is B

Step-by-step explanation:

3 0

2 years ago

Each month, a shopkeeper spends 7x+19 dollars on rent and electricity. If he spends 5x−2 dollars on rent, how much does he spe

insens350 [35]

The shopkeeper spends 2x + 21 dollars on electricity

The amount the shopkeeper spends on electricity less than $100 is:

x < 39.5

<h3>What is a linear inequality?</h3>

Linear inequality explains the range of values that a variable represents.

Total amount spent by the shopkeeper = 7x + 19

Amount spent on rent = 5x - 2

Total amount spent = Amount spent on rent + Amount spent on electricity

(7x + 19) = (5x - 2 ) + Amount spent on electricity

Amount spent on electricity = (7x + 19) - (5x - 2)

Amount spent on electricity = 7x - 5x + 19 + 2

Amount spent on electricity = 2x + 21

For which value(s) of x is the amount the shopkeeper spends on electricity less than $100?

Amount spent on electricity < 100

2x + 21 < 100

2x < 100 - 21

2x < 79

x < 79/2

x < 39.5

Learn more on linear inequalities here: brainly.com/question/11613554

6 0

1 year ago