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2 years ago

Change 39 square yard to feet

Mathematics

1 answer:

Vladimir79 [104]2 years ago

6 0

Answer:

351 squared feet

Step-by-step explanation:

multiply by 9

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The bulldogs won 18 games out of 45, what percent of their games did the bulldogs win?

galina1969 [7]

Answer:

Step-by-step explanation:

First divide 18/45, which equals 2/5

Then convert 2/5 to a decimal: 0.4

Multiply 0.4 by 100%, which equals 40%

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3 years ago

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What is 782,943 rounded to the nearest ten thousand

Effectus [21]

The answer is 780,000

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Angles 1 and 2 are complementary. If Angle 1 measures 29.6º, then what is the measure of Angle 2? º

tangare [24]

Answer:

60.4 degrees

Step-by-step explanation:

Complementary angles are 2 angles that add up to the sum of 90 degrees.

90-29.6=60.4 degrees

Hope this helps!

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3 years ago

I equals 3.14, T equals 5.71, P equals three years. <br><br> I divided by T divided by P equals?

Lunna [17]

3.14/5.71=0.18330414466 years hope this hepls

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3 years ago

Determine all prime numbers a, b and c for which the expression a ^ 2 + b ^ 2 + c ^ 2 - 1 is a perfect square .

kogti [31]

Answer:

The family of all prime numbers such that $a^{2} + b^{2} + c^{2} -1$ is a perfect square is represented by the following solution:

$a$ is an arbitrary prime number. (1)

$b = \sqrt{1 + 2\cdot a \cdot c}$ (2)

$c$ is another arbitrary prime number. (3)

Step-by-step explanation:

From Algebra we know that a second order polynomial is a perfect square if and only if $(x+y)^{2} = x^{2} + 2\cdot x\cdot y + y^{2}$ . From statement, we must fulfill the following identity:

$a^{2} + b^{2} + c^{2} - 1 = x^{2} + 2\cdot x\cdot y + y^{2}$

By Associative and Commutative properties, we can reorganize the expression as follows:

$a^{2} + (b^{2}-1) + c^{2} = x^{2} + 2\cdot x \cdot y + y^{2}$ (1)

Then, we have the following system of equations:

$x = a$ (2)

$(b^{2}-1) = 2\cdot x\cdot y$ (3)

$y = c$ (4)

By (2) and (4) in (3), we have the following expression:

$(b^{2} - 1) = 2\cdot a \cdot c$

$b^{2} = 1 + 2\cdot a \cdot c$

$b = \sqrt{1 + 2\cdot a\cdot c}$

From Number Theory, we remember that a number is prime if and only if is divisible both by 1 and by itself. Then, $a, b, c > 1$ . If $a$ , $b$ and $c$ are prime numbers, then $2\cdot a\cdot c$ must be an even composite number, which means that $a$ and $c$ can be either both odd numbers or a even number and a odd number. In the family of prime numbers, the only even number is 2.