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luda_lava [24]
3 years ago
8

Percent of changeoriginal:1.5new:2.5please show work​

Mathematics
1 answer:
Luden [163]3 years ago
8 0

Answer:

Percentage change=<u>2.5-1.</u><u>5</u><u> </u> ×100℅

1.5

=66.67℅

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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
Which representation does not show a proportional relationship between x and y?
nasty-shy [4]

Answer:

Table A

Step-by-step explanation:

looking at the two tables, we have the observations as follows;

For table B, if we divide x by y; we have a ratio of 2/3

This happens throughout the table

What this means is that x = 2/3 * y

But for table A, we notice a pattern for the first two lines

The pattern here is that x = 2y

But as we move to the next two rows, we notice this fails and thus, we fail to establish a pattern that works for all the rows;

Hence table B has a pattern for all its rows

6 0
3 years ago
Solve the system using the substitution method:<br> 3x + 5y = -10<br> X - 5y =-10
inn [45]

<u>Answer:</u>

Point Form:

(−5,1)

Equation Form:

x=−5, y=1

<u>Step-by-step explanation:</u>

Solve for the first variable in one of the equations, then substitute the result into the other equation.

1.  x=5y−10

2. 20y−30=−10

3. y=1

4. x=−5

4 0
3 years ago
F(x) = x2<br> What is f(x) + f(x) + f(x)?
Yuliya22 [10]

Answer:

if you meant x squared the answer is 3x^2

Step-by-step explanation:

If f(x) is equal to 2x you can substitute x squared for f(x) and that would be x squared+x squared+x squared which is 3x^2

6 0
3 years ago
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Mrs. Rivera has bars of chocolate in a box. The total mass of bars of chocolate in the box is 3 kilograms. What is the mass in g
sergeinik [125]

Answer:The chocolate in the box is 3000 grams.

Every Kilogram has 1000 grams

You multiply 1000×3=3000

6 0
4 years ago
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