Mathematics: Five identical right-angled triangles can be arranged so that their larger acute angles touch to form the star shown in the diagram. It is also possible to form a different star by arranging more of these triangles so that their smaller acute angles touch. How many triangles are needed to form the second star?

Tyler should buy 2 goldfishes for his fish tank,Step-by-step explanation:First let s find the volume of the sphere, using the following equation:The radius is half the diameter, so the radius is 14/2 = 7 inchesNow, finding the volume, we have:Now, we know that we need to have 1 goldfish for every 693 in3 of water, so to find the number of goldfishes, we just need to divide the volume of the sphere by 693 (and round down the result if needed):Tyler should buy 2 goldfishes for his fish tank,...

Five identical right-angled triangles can be arranged

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brianamarialove15

18.04.2021

Mathematics

lol thr maths challenge

Step-by-step explanation:

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BriP5022

24.09.2020

Mathematics

Tyler should buy 2 goldfishes for his fish tank,

Step-by-step explanation:

First let's find the volume of the sphere, using the following equation:

$Volume = (4/3) * \pi * radius^3$

The radius is half the diameter, so the radius is 14/2 = 7 inches

Now, finding the volume, we have:

$Volume = (4/3) * \pi * 7^3$

$Volume = 1436.75\ in^3$

Now, we know that we need to have 1 goldfish for every 693 in3 of water, so to find the number of goldfishes, we just need to divide the volume of the sphere by 693 (and round down the result if needed):

$Number\ of\ goldfishes = 1436.75 / 693 = 2.07 = 2\ goldfishes$

Tyler should buy 2 goldfishes for his fish tank,

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