Answer & Step-by-step explanation:
First, we will multiply 5 by 28 to find out the total number of ages in the room.
5 * 28 = 140
Now, we will multiply 6 by 29 to find out the total number of ages in the room after the new person comes in.
6 * 29 = 174
Now, in order for us to find the age of the new person, then we will subtract 140 from 174.
174 - 140 = 34
So, the person that entered the room is 34 years old.
Hi, there.
For this question, we can apply the Pythagorean theorem
.
I'm sure you've seen this equation before, and they kind of tried to trip you up with this problem. Trust me, it's easier than it looks. Let's break it down.
Lengths a and b both have the value of 48, which means that the value s in
is 48, because the length of the hypotenuse is the same as the length and height squared multiplied by 2.
Plug in the value for c: 
Plug in the value for s:

Do the innermost exponents first:

The square root symbol and the power of 2 cancel each other out, so we are left with:
s =
, so the hypotenuse is 4608 inches.
<span>-6x^4y^5 - 15x^3y^2 + 9x^2y^3
</span>-6x^4y^5 = -2, 3, x, x, x, x, y, y, y, y, y
15x^3y^2 = -5, 3 x, x, x, y, y
9x^2y^3 = 3, 3 x, x, y, y, y
Each group has a 3 in common and each group has 2 x in common and each group has 2 y in common so the GCF = -3x^2y^2
Divide that out and we get


Answer:
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<em>option</em><em> </em><em>C</em><em> </em><em>is</em><em> </em><em>the</em><em> </em><em>right</em><em> </em><em>option</em><em>.</em>
<em>Expla</em><em>nation</em><em>:</em>
<em>General</em><em> </em><em>expression</em><em> </em><em>of</em><em> </em><em>a</em><em> </em><em>cosine</em><em> </em><em>function</em><em> </em><em>is</em><em>:</em>
<em>y</em><em>=</em><em>A</em><em> </em><em>cos</em><em> </em><em>k</em><em> </em><em>X</em>
<em>where</em><em> </em><em>A</em><em> </em><em>is</em><em> </em><em>amplitude </em><em>and</em><em> </em><em>2</em><em> </em><em>pi</em><em>/</em><em>k</em><em> </em><em>is</em><em> </em><em>its </em><em>period.</em>
<em>In</em><em> </em><em>our</em><em> </em><em>case</em><em>,</em>
<em>
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<em>has</em><em> </em><em>:</em>
<em>
</em>
<em>hence,</em><em> </em><em>the</em><em> </em><em>right</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em> </em><em>of</em><em> </em><em>option</em><em> </em><em>C</em>
<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em>.</em><em>.</em><em>.</em>
<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em>