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vivado [14]
3 years ago
13

Why does multiplying 37.4 times 0.01 give a product that is less than 37.4

Mathematics
1 answer:
Rudik [331]3 years ago
6 0

Answer: When you multiply by 0.1 it is the same as dividing by 10. So it gives you a product that is less than 37.4.

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Yuri [45]
It's 18/100. The reduced / simplest form is 9/50 because you divide it by 2 since it's the GCS.
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The length of a rectangle is 9.7cm more then 4 times the width. If the perimeter of the rectangle is 91.4cm, what are the dimens
Ksju [112]
The dimensions are Width of the rectangle = 7.2 cm
Length of the rectangle = 4x + 9.7
                                      = 28.8 + 9.7
                                      = 38.5 cm. thats all
4 0
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Priscilla can make 4 bracelets in 17 minutes. At this rate, how many bracelets can she make in 34 minutes?
andrew11 [14]
4 bracelets/17 minutes = x bracelets/34 minutes
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6 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><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
Ik this is easy but I just want to make sure if I’m right
Kipish [7]

Answer:

Fully color in 2 pentagons and then color only two triangles in the third pentagon

Step-by-step explanation:


5 0
3 years ago
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