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3 years ago

7,24,25. 7 , 23,24 7, 25,26 Which of the following will form a right triangle

1 answer:

8 0

We know that
In a right triangle
c²=a²+b²
where
a and b are the legs of triangle
c is the hypotenuse of the triangle
so

case 1)7,24,25
25²=7²+24²
25²-----> 625
7²+24²----> 625
625 is equal to 625----------> form a right triangle

case 2) 7,23,24
24²=7²+23²
24²------> 576
7²+23²-----> 578
576 is not 578-------------> not form a right triangle

case 3) 7,25,26
26²=7²+25²
26²-----> 676
7²+25²-----> 674
676 is not 674-----> not form a right triangle

the answer is
7,24,25 form a right triangle

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2 years ago

One thousand tonnes (1000 t, one t equals 10 cubed kg) of sand contains about a trillion (10 super 12) grains of sand. How many

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Answer with Step-by-step explanation:

Since 1 mole of sand will contain Avagadro's Number of sand particles (by definition of 1 mole)

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Now since it is given that mass of 1 trillion sand particles is 1000 tonnes Thus the mass of $6.022\times 10^{11}$ trillion sand particles is

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Part 2)

Since it is given that volume of 1 sand particle is $1.0mm^{3}$ thus the volume of 1 mole of sand is volume of $6.022\times 10^{23}$ sand particles

Thus volume of 1 mole is $V=1.00\times 10^{-18}km^{3}\times 6.022\times 10^{23}=6.022\times 10^{5}km^{3}$

Now since the Area of united states is $A=3.6\times 10^{6}mile^{2}=5.8\times 10^{6}km^{2}$

Thus the depth of the sand pile is

$Depth=\frac{Volume}{Area}=\frac{6.022\times 10^5}{5.8\times 10^6}=0.10387km=103.8meters$

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2 years ago

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Answer:

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