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Firlakuza [10]
2 years ago
6

HELP

Mathematics
2 answers:
ladessa [460]2 years ago
7 0
Use the Pythagorean Theorem:
 A²+B²=C²
 6²+5²=C²
36+25=C²
       61=C²
    √61=C
So the answer is C.

Sindrei [870]2 years ago
7 0

Answer:

Correct answer is option C (√61)

Step-by-step explanation:

in this question we have given a right triangle in which

∠C=90^{0}

BC = 6 and AC = 5

we have to find the length of the hypotenuse, AB=?

To find the the hypotenuse we will apply Pythagoras theorem (According to Pythagoras theorem, "in a right angle triangle, square of hypotenuse is equal to the sum of square of other two sides")

In ΔABC by Pythagoras theorem

AB^{2}=AC^{2}+BC^{2}...................(1)

put values of BC and AC in equation 1

AB^{2}=5^{2}+6^{2}

AB^{2}=25+36

AB^{2}=61

AB=√61

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What two partial products would you add to find 513 x 46
Afina-wow [57]
First, let me do the Mathematical part of that, and then I shall explain the theory behind it.

Mathematical part:
We are going to multiply 513 with 46. So the two partial products that we are going to choose are 40 and 6.

Multiply 513 with 6 first.

    513
    x46
--------------------------
      18 (as 6*3 = 18)
      60 (as 6*10 = 60; In 513, the digit at tenths place is 1, so 1*10=10)
  3000 (as 6*500 = 3000; In 513, 5 is at hundredth place, so 5*100=500)
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--------------------------
23598 (Add all of them)


Theory:
As you can see above that we have chosen the two partial products individually which are 6 and 40. Since 4 in 46 is in tenth place, we have to consider it 40 (since 4*10 = 40). One by one, we first multiply 6 with 513. Then we move to the tenth place, and multiply 513 with 40. At the end, we have added all the results we found after multiplication.

Check: If we check the multiplication result by using the calculator, we would get the same result (23598).

Another Method (instant):
513 * (40+6) = (513*40) + (513*6) = 23598.
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