<u>Answer: </u><em><u>h=80 is the final answer. *The answer must be have a positive sign.*</u></em>
Explanation:
<em><u>Switch sides of an equation.</u></em>
<em><u>3/4h=60</u></em>
<em><u>multiply by 4 both sides of an equation.</u></em>
<em><u>4*3/4h=60*4</u></em>
<em><u>simplify.</u></em>
<em><u>3h=240</u></em>
<em><u>divide by 3 both sides of an equation.</u></em>
<em><u>3h/3=240/3</u></em>
<em><u>simplify.</u></em>
<em><u>240/3=80</u></em>
<em><u>80*3=240</u></em>
<em><u>3*80=240</u></em>
<em><u>240/80=3</u></em>
<em><u>h=80</u></em>
<em><u>Hope this helps!</u></em>
<em><u>Thanks!</u></em>
<em><u>Have a great day!</u></em>
Answer:
Step-by-step explanation:
6-3x=12-6x
Only one solution of x=2
Answer:
17
Step-by-step explanation:
Answer:
B) the cube of 4 and then take the square root
Step-by-step explanation:
43/2 = 21.5
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The answer choices suggest you want ...
4^(3/2) . . . . . . . appropriate math symbols are very helpful
This can be evaluated several ways:

_____
Since the 3 is in the numerator of the fraction, it represents a cube, not a cube root. Any of the answer choices suggesting cube root is involved are incorrect. (Eliminating those leaves only the correct answer choice.)

<h3><u>Given </u><u>:</u><u>-</u></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
<h3><u>To </u><u>Find </u><u>:</u><u>-</u></h3>
- <u>We </u><u>have </u><u>to </u><u>find </u><u>the </u><u>distance </u><u>between </u><u>the </u><u>golf </u><u>ball </u><u>and </u><u>the </u><u>center </u><u>of </u><u>the </u><u>green </u><u>.</u>
<h3><u>Let's </u><u> </u><u>Begin </u><u>:</u><u>-</u></h3>
Let assume that the distance between the golf ball and central of green is x
<u>Here</u><u>, </u>
- Distance between marker and centre of green is 150 yards
- <u>That </u><u>is</u><u>, </u>Height = 150 yards
- For facing the green , The golfer turns 100° towards his ball
- <u>That </u><u>is</u><u>, </u>Angle = 100°
- The golfer peces off 30 yards to his ball
- <u>That </u><u>is</u><u>, </u>Base = 30 yards
<u>According </u><u>to </u><u>the </u><u>law </u><u>of </u><u>cosine </u><u>:</u><u>-</u>

- Here, a = perpendicular height
- b = base
- c = hypotenuse
- cos theta = Angle of cosine
<u>So</u><u>, </u><u> </u><u>For </u><u>Hypotenuse </u><u>law </u><u>of </u><u>cosine </u><u>will </u><u>be </u><u>:</u><u>-</u>

<u>Subsitute </u><u>the </u><u>required </u><u>values</u><u>, </u>






Hence, The distance between the ball and the center of green is 153.48 or 153.5 yards