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jekas [21]
3 years ago
11

Draw quick pictures and write to explain how to break apart addends to find the sum of 324 + 231

Mathematics
2 answers:
faust18 [17]3 years ago
8 0
Just add the two numbers
that will help you get the sum of the two

i hope this helps

il63 [147K]3 years ago
7 0

Answer: The explanation of the given addition is mentioned below.  

Step-by-step explanation:

Since Here we have numbers 324 and 231.

So if we want to add these two numbers then at first we should add 4 and 1, That is 4+1= 5, which is the once place digit of our answer.

Now we should add 2 and 3 , that is , 2+3 =5 which is the tense place digit of our answer.

Finally we should add 3 and 2 the result is 3+2= 5 , which is the hundreds place digit of our answer.

Thus the complete result is 555.




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Use the identity tan(theta) = sin(theta) / cos(theta) to show that tan(???? + ????) = tan(????)+tan(????) / 1−tan(????) tan(????
VMariaS [17]

Answer:

See the proof below.

Step-by-step explanation:

For this case we need to proof the following indentity:

tan(x+y) = \frac{tan (x) + tan(y)}{1- tan(x) tan(y)}

So we need to begin with the definition of tangent, we know that tan (x) =\frac{sin(x)}{cos(x)} and we can do this:

tan (x+y) = \frac{sin (x+y)}{cos(x+y)}   (1)

We also have the following identities:

sin (a+b) = sin (a) cos(b) + sin (b) cos(a)

cos(a+b)= cos(a) cos(b) - sin(a) sin(b)

Now we can apply those identities into equation (1) like this:

tan (x+y) =\frac{sin (x) cos(y) + sin (y) cos(x)}{cos(x) cos(y) - sin(x) sin(y)}   (2)

We can divide numerator and denominator from expression (2) by \frac{1}{cos(x) cos(y)} we got this:

tan (x+y) = \frac{\frac{sin (x) cos(y)}{cos (x) cos(y)} + \frac{sin(y) cos(x)}{cos(x) cos(y)}}{\frac{cos(x) cos(y)}{cos(x) cos(y)} -\frac{sin(x)sin(y)}{cos(x) cos(y)}}

And simplifying we got:

tan (x+y) = \frac{tan(x) + tan(y)}{1-tan(x) tan(y)}

And that complete the proof.

8 0
3 years ago
A number n divided by 12 is 10.<br> - or n =
jekas [21]

Step-by-step explanation:

n/12=10

n=10*12

n=120

4 0
3 years ago
3x is a ____ of 3x^2 - 6x^3.
Rufina [12.5K]

Answer:

\boxed{factor}

Step-by-step explanation:

<em>Hey there!</em>

3x * x = 3x^2

3x * 2x = 6x^3

So 3x is a factor of 3x^2 - 6x^3.

<em>Hope this helps :)</em>

7 0
3 years ago
Graph the equation and identify the​ y-intercept.
Hunter-Best [27]

We need the graphing tool.

4 0
3 years ago
Find the area of a regular octagon with an apothem of 7 inches and a side length of 5.8 inches. (nearest tenth)
Kisachek [45]

Answer:

162.4 in²

Step-by-step explanation:

LETS GET INTOOOOEEETTT

Let's start with what we know:

Area of regular octagon = 1/2 x perimeter x apothem

We know the apothem, so all that we need to find to fill in the above equation is the perimeter:

perimeter = 8 x 5.8 = 46.4in

Now we can fill in our original equation and solve:

Area of regular octagon = 1/2 x perimeter x apothem

Formula = n (s/2)² divided by tan( π /n)

   = 8 (5.8/2)²  divided by tan ( π /8)

                 = 162.4283 in²

ORRR when rounded to the nearest tenth,

                      =162.4 in²

6 0
3 years ago
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