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docker41 [41]
3 years ago
12

Draw a picture to show how 2/3 of jakes pizza can be equal to 3/6 of a pizza from als

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
3 0
2/3 of a pizza is more than half of the pizza.


3/6 = 1/2, so 3/6 of a pizza is exactly half of the pizza.


Given that two pizzas are of different sizes you need to calculate the areas of each pizza and compare them.


Assumming that the two pizzas are circular, you can calculate the area of each pizza from the formula of the area for a circle:


Area of a circle = π * (radius)^2.



Call r the radius of Jake's pizza and R the radius of Al's pizza. Then:


Area of Jake's pizza = π (r^2) and 2/3 of that is: 2π(r^2) / 3.


Area of Al's pizza = π (R^2) and 1/2 of that is π(R^2)/2


So, what you have to do is to use the radius of each pizza, calculate above formulaes and verify whether the results are the same or not.
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find the coordinates of p so that p partitions segment ab in the part to whole ratio of 1 to 4 with a(-5,4) and b(7,-4)
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p(x,y) = (-2.6 ,2.4)

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a(-5,4) and b(7,-4)

Required

Partition P

Given that the segment ab is divided into ratio;

The coordinates of point p can be calculated using ratio formula given below

p(x,y) = (\frac{mx_2 + nx_1}{m+n} ,\frac{my_2 + ny_1}{m+n})

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p(x,y) = (\frac{1 *7 + 4 * -5}{1+4} ,\frac{1 * -4 + 4 * 4}{1+4})

p(x,y) = (\frac{7 + -20}{5} ,\frac{-4 + 16}{5})

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Hence, the coordinates of p are (-2.6,2.4)

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