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2 years ago

Please Help - Point x^3-4x<-5x^2+20 Solve in interval notation and list the zeros

Mathematics

1 answer:

Naddika [18.5K]2 years ago

4 0

hi my name is antonette Jane S pascua please help me my question thank you for your answer

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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

5 0

2 years ago

Find the length BC

Nady [450]

Answer:

The length of BC = 12

Step-by-step explanation:

c^2 = a^2 + b^2

15^2 = 9^2 + b^2

225 = 81 + b^2

b^2 = 225 - 81

b^2 = 144

b = 12

The length of BC is 12

5 0

3 years ago

0.75 recurring as a fraction with 7 and 5 recurring

mariarad [96]

   100x = 75.757575...
- x =   0.757575...
-----------------------------
   99x = 75

x = 75/99

x = 25/33

Answer: 0.757575... = 25/33

6 0

3 years ago

Which fraction (in simplest form) is equivalent to 0.03? A.3/100 B.3/10 C.1/3 D.1/30

bija089 [108]

It is (A). When removing decimal of 0.03 you will get = 3/100 so A is the correct answer.

3 0

3 years ago

3. A researcher randomly selects a sample of 61 former student leaders from a list of graduates of UNCG who had participated in

Sophie [7]

Answer:

not statistically significant at ∝ = 0.05

Step-by-step explanation:

Sample size( n ) = 61

Average for student leader graduates to finish degree ( x') = 4.97 years

std = 1.23

Average for student body = 4.56 years

Determine if the difference between the student leaders and the entire student population is statistically significant at alpha

H0( null hypothesis ) : u = 4.56

Ha : u ≠ 4.56

using test statistic

test statistic ; t = ( x' - u ) / std√ n

= ( 4.97 - 4.56 ) / 1.23 √ 61

= 2.60

let ∝ = 0.05 , critical value = -2.60 + 2.60

Hence we wont fail to accept H0

This shows that the difference between the student leaders and the entire student population is not statistically significant at ∝ = 0.05

3 0

3 years ago