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Mashcka [7]
2 years ago
7

Find the probability that a point is chosen randomly inside the rectangle is in each given shape...

Mathematics
1 answer:
BaLLatris [955]2 years ago
5 0

Answer:

  1. <u>0.25</u>
  2. <u>0.85</u>

Step-by-step explanation:

P (Triangle or Square) :

  • Area of Triangle + Area of Square / Area of Rectangle
  • 1/2 x 3 x 4 (height is found by Pythagorean Theorem) + (3)² / 10 x 6
  • 6 + 9 / 60
  • 15/60
  • <u>0.25</u>

<u></u>

P (Not the square) :

  • Area of rectangle - Area of square / Area of rectangle
  • 60 - 9 / 60
  • 51/60
  • 17/20
  • <u>0.85</u>
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The school is having a bake sale and the math club is bringing cupcakes. They have 180 total cupcakes, both chocolate and strawb
jeka57 [31]
Let s be the number of strawberry cupcakes, and c the number of chocolate cupcakes.
From our problem we know that the total number of cupcakes is  180, so c+s=180. We also know that the number of chocolate cupcakes is eighteen more than twice the number of strawberry cupcakes, so c-18=2s, or solving for c: c=2s+18.
Know we have our system of equations:
\left \{ {{c+s=180} \atop {c=2s+18}} \right.
We can conclude that the correct answer is <span>B. c + s = 180 c = 2s + 18.

Lets solve our equations to find how many cupcakes of each they have:
from our second equation we know that </span>c=2s+18; lets replace that value in our first equation to find the number of strawberry cupcakes:
2s+18+2=180
3s=162
s= \frac{162}{3}
s=54
<span>Now that we know the number of strawberry cupcakes, lets replace that value in our second equation to find the number of chocolate cupcakes:
</span>c=2(54)+18
c=108+18
c=126
As a bonus, we can conclude that the <span>math club have 126 chocolate cupcakes and 54 strawberry cupcakes. </span>
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3 years ago
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I got 50.24 
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Vitek1552 [10]
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1 1
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Step-by-step explanation:

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