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1 year ago

Find the domain and range of the following graph Write your answer as an interval.

Mathematics

1 answer:

HACTEHA [7]1 year ago

8 0

Answer:

Domain: [1, infinity)

Range: All real numbers or (- infinity, + infinity)

Step-by-step explanation:

Hope this helps

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Solve for the value of k. (k+8) 400

pashok25 [27]

Answer:

value of k = 6

Step-by-step explanation:

sum of all angles forming a straight line = 180°

so,

7k + 8 + 90 + 40 = 180
7k + 138 = 180
7k = 180 - 138
7k = 42
k = 42/7
k = 6

hence the value of k = 6

3 0

3 years ago

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

5 0

2 years ago

There is actually 2 questions

Zanzabum

Answer:

not sure but i need points

Step-by-step explanation:

6 0

2 years ago

One number is 16 less than 4 times the second number. Their sum is 29. Find the numbers.

aleksklad [387]

Answer:

20,9

Step-by-step explanation:

this is how I did=x=1st, y=2nd; x=4y-16 and x+y=29; thus 4y-16+y=29; 5y-16=29; 5y=45; y=45/5=9, once you know y=9, put in equation, 4y-16=×, (4*9)-16=x, 36-16=x, 20=x

4 0

2 years ago

What is the percent change from $24 to $30

Tju [1.3M]

Answer:

25%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

Step-by-step explanation:

6 0

2 years ago