What is 8/15 times -2/3??
2 answers:
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Consider the given statement:
8+3.4=3.4+8
We have to identify the property used in this statement.
1. Associative Property of Addition: Let a,b and c be three real numbers. This property states that . This property is not used in the given statement.
2. Inverse property of addition: A number 'a' is said to have an inverse '-a' if . This property is not used in the given statement.
3. Inverse property of multiplication: A number 'a' is said to have an inverse '' if
. This property is not used in the given statement.
4. Commutative property of addition: Let 'a' and 'b' be two real numbers. This property states that .
In the given statement, 8+3.4=3.4+8
which is expressed as 8+12 = 12+8, this statement holds commutative property of addition as whether 8 is added to 12 or 12 is added to 8, the result is same.
So, Commutative property of addition is illustrated in this statement.
Case 1: The length of the third side (hypotenuse) is <u>5</u>m.
My Reasoning/Work:
We use the Pythagorean theorem (a^2+b^2=c^2), the two legs in the Pythagorean theorem are "a" and "b" and the third leg/the hypotenuse, is "c".
Then, we find the squares of 3 and 4, and then add them up.
Now that we know that the square of the third side is 25m, we now find the square root of 25.
The hypotenuse is 5m.
Case 2: The length of the third side (the leg) is <u>
</u>m.
My Reasoning/Work:
Again, we'll use the Pythagorean theorem.
This time, instead of using the "b", we're using the "a" (leg) and the "c" (hypotenuse). Because the hypotenuse is the longest side in a right triangle, we get that "c" is equal to 4m.
And now we bring down the exponents.
We now subtract 9 from both sides to leave the "b^2" alone.
Finally, we find the square root of 7 to get the answer. But if you use a calculator to find this, you'll get an annoying answer of decimals (2.645751311064591). So, to simplify this, the answer would be
.<u />
My Reasoning/Work:
We use the Pythagorean theorem (a^2+b^2=c^2), the two legs in the Pythagorean theorem are "a" and "b" and the third leg/the hypotenuse, is "c".
Then, we find the squares of 3 and 4, and then add them up.
Now that we know that the square of the third side is 25m, we now find the square root of 25.
The hypotenuse is 5m.
Case 2: The length of the third side (the leg) is <u>
My Reasoning/Work:
Again, we'll use the Pythagorean theorem.
This time, instead of using the "b", we're using the "a" (leg) and the "c" (hypotenuse). Because the hypotenuse is the longest side in a right triangle, we get that "c" is equal to 4m.
And now we bring down the exponents.
We now subtract 9 from both sides to leave the "b^2" alone.
Finally, we find the square root of 7 to get the answer. But if you use a calculator to find this, you'll get an annoying answer of decimals (2.645751311064591). So, to simplify this, the answer would be