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Nonamiya [84]
3 years ago
12

a right triangle has a hypotenuse with a length of 20. the lengths of the legs are whole numbers. what are the lengths of the le

gs​
Mathematics
1 answer:
Y_Kistochka [10]3 years ago
5 0

Answer:

12;16

Step-by-step explanation:

The Pythagorean theorem states that

a^2+b^2=c^2 where a and b are legs of a triangle, and c is the hypotenuse.

This means that we have to find 2 values that once squared, add up to 400. (20^2)

Based on this, we can use the values of 12 and 16 to satisfy this.

12^2+16^2=144*256=400

Therefore, the legs of the triangle are 12 and 16.

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Answer:

Step-by-step explanation:

Given

There are 52 cards in total

there are total of 13 pairs of same cards with each pair containing 4 cards

Probability of getting a pair or three of kind card=1-Probability of all three cards being different

Probability of selecting all three different cards can be find out by selecting a card from first 13 pairs and remaining 2 cards from remaining 12 pairs i.e.

=\frac{52\times 48\times 44}{52\times 51\times 50}

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For second card we have to select from remaining 12 pairs i.e. 48 cards and so on for third card.

Required Probability is =1-\frac{52\times 48\times 44}{52\times 51\times 50}

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Question 6
inna [77]

Answer:

add, subtract, multiply and divide complex numbers much as we would expect. We add and subtract

complex numbers by adding their real and imaginary parts:-

(a + bi)+(c + di)=(a + c)+(b + d)i,

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We can multiply complex numbers by expanding the brackets in the usual fashion and using i

2 = −1,

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a + bi

c + di = a + bi

c + di ×

c − di

c − di =

µac + bd

c2 + d2

¶

+

µbc − ad

c2 + d2

¶

i.

The number c−di which we just used, as relating to c+di, has a spec

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Step-by-step explanation:

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