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3 years ago

Select the multiplication sentence that applies the commutative property of multiplication to the example.

Mathematics

1 answer:

lakkis [162]3 years ago

4 0

The correct answer is B

<h2><u>EXPLANATION</u></h2>

The commutative property of multiplication says that, if you are multiplying two numbers, the order of the multiplication does not matter. You will get the same result, no matter which one you bring first or second during the multiplication process.

That is, if <em>a </em>and <em>b</em> are two real numbers, then the commutative property of multiplication says that,

$a\times b = b\times a$

So for the above options,

$6\times 4 = 4\times 6$

$24= 24$

<em>Note that the numbers have not changed, so their values will not change also. </em>

We are NOT referring to a situation where the numbers will change whilst their values is still the same.

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One more question on this test guys. please answer as fast as possible. If you do,

GaryK [48]

1. The given rectangular equation is $x=2$ .

We substitute $x=r\cos \theta$ .

$r\cos \theta=2$

Divide through by $\cos \theta$

$r=\frac{2}{\cos \theta}$

$r=2}\sec \theta$

$\boxed{x=2\to r=2\sec \theta}$

2. The given rectangular equation is:

$x^2+y^2=36$

This is the same as:

$x^2+y^2=6^2$

We use the relation $r^2=x^2+y^2$

This implies that:

$r^2=6^2$

$\therefore r=6$

$\boxed{x^2+y^2=36\to r=6}$

3. The given rectangular equation is:

$x^2+y^2=2y$

This is the same as:

We use the relation $r^2=x^2+y^2$ and $y=r\sin \theta$

This implies that:

$r^2=2r\sin \theta$

Divide through by r

$r=2\sin \theta$

$\boxed{x^2+y^2=2y\to r=2\sin \theta}$

4. We have $x=\sqrt{3}y$

We substitute $y=r\sin \theta$ and $x=r\cos \theta$

$r\cos \theta=r\sin \theta\sqrt{3}$

This implies that;

$\tan \theta=\frac{\sqrt{3}}{3}$

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$\boxed{x=\sqrt{3}y\to \theta=\frac{\pi}{6}}$

5. We have $x=y$

We substitute $y=r\sin \theta$ and $x=r\cos \theta$

$r\cos \theta=r\sin \theta$

This implies that;

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3 years ago

Anna earned 22 points on her last test. If there were 40 possible points, what was her percent grade?

dimulka [17.4K]

Answer:

55%

Step-by-step explanation:

Since Anna earned 22 points, and there was a total of 40 points, this means that she scored 22 out of 40 points. You can simplify this by dividing the denominator and numerator by 2. Then, you can multiply both the numerator and denominator by 5 to get a number out of 100.

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3 years ago

m∠1 is 4 times m∠2. ∠1 and ∠2 are complementary. ∠1 and ∠3 are vertical angles. ∠3 and ∠4 are supplementary. What are the measur

kherson [118]

Answer:

Step-by-step explanation:

Let's write a system of equations. I'm going to call them w, x, y, and z.

w = 4x (because m∠1 is 4 times m∠2)

w + x = 90 (bc ∠1 and ∠2 are complementary, meaning they add up to 90)

w = y (bc ∠1 and ∠3 are vertical angles, meaning they are equal)

y + z = 180 (bc ∠3 and ∠4 are supplementary, meaning they add up to 180)

When we substitute w=4x into the second equation, we get 5x=90 → m∠2 = 18°. Since w=4x, m∠1 = 18*4 = 72°. Since w=y, m∠3 = 18°. Finally, because y+z=180, m∠4 = 180-18 = 162°. Hope this helps!

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