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lapo4ka [179]
1 year ago
13

How to find x=? How to solve step by step

Mathematics
1 answer:
patriot [66]1 year ago
7 0

Answer:

230 degrees

Step-by-step explanation:

draw a horizontal line from x and use congruent rule to have a full 360 degree circle. You can now subtract 60 and 70 from 360 degrees leaving you with 230 degrees as x

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During their first round of golf, Imani was 7 strokes over par and Peter was 8 strokes below par.
ser-zykov [4K]

Answer:

imani=+7

peter=-8

Step-by-step explanation:

8 0
2 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><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>

\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

<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>

\sf{ c^{2} = a^{2} + b^{2} - 2ABcos}{\sf{\theta}}

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

\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
A gumball machine has 330 red gumballs. If the red gumballs are 75% of the total number of gumballs, how many gumballs are in th
patriot [66]
75% = 330 gumballs

Find 1%:
1% = 330 ÷ 75 = 4.4 gumballs

Find 100%:
100% = 4.4 x 100 = 440 gumballs.

Answer: 440 gumballs.
3 0
3 years ago
3/28 of the animals are birds. 4/15 are birds of prey. What fraction of the animals are birds of prey.
vova2212 [387]
Let's call animals "a", and birds "b", birds of prey, "p"

so, b=\frac{3}{28} a

and p=\frac{4}{15} b
what;s the relation of p to a?

we substitude b into the last one:

and p=\frac{4}{15}* \frac{3}{28} a
so:
p=\frac{4*3}{15*28} a

p=\frac{4*1}{5*28} a


p=\frac{1*1}{5*7} a

p=\frac{1*1}{35} a

which is the answer!









7 0
3 years ago
In the U.S. presidential election of 1864, Abraham Lincoln received 2,218,388 of the 4,031,887 votes. About
Lesechka [4]
I don’t know pay attention in class and I’m not being mean JK it’s 2,251,926
7 0
3 years ago
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