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NeTakaya
2 years ago
14

Write the expression as the sine, cosine, or tangent of an angle.

Mathematics
1 answer:
erma4kov [3.2K]2 years ago
7 0

Answer:

tan56°

Step-by-step explanation:

The Addition identity for tangent ratio is

tan(x + y) = \frac{tanx+tany}{1-tanxtany} , thus

\frac{tan24+tan32}{1-tan24tan32} = tan(24 + 32)° = tan56°

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3x^2 -5x -2=0
Kipish [7]

Answer:

Step-by-step explanation:

1. Find two numbers that add to make the coefficient of x (in this case, -5) and that multiply to make the constant term multiplied by the coefficient of x^2 (in this case, -2 x 3 = -6)

Two numbers that work are -6 and +1

-6 x +1 = -6

-6 + -1 = -5

2. Split the middle term into the two numbers that you found.

3x^2 -6x +x -2 = 0

I've put the -6 on the left side because in our next step, when we factorise, it will be easier than having the numbers the other way around.

3. Factorise the left side by taking out common factors from each pair. The pairs I'm talking about here are '3x^2 and -6x', and 'x and -2'

3x (x-2) +1 (x-2) = 0

4. You now have two numbers both being multiplied by the term x-2. We can rearrange this equation to give us two brackets being multiplied by each other.

(3x + 1) (x-2) = 0

5. According to the Null Factor Law, if two terms are multiplied together and the result is 0, then one of those terms must be 0. Make both terms equal to 0 and solve each for x.

3x + 1 = 0              x-2 = 0

3x = -1                   x = 2

x = -1/3

6. The solutions to this equation are x = 2 and x = -1/3

6 0
3 years ago
Read 2 more answers
What is the equation of a line that is parallel to the line x=-2and passes through the point (-5, 4)?
Nimfa-mama [501]
First, it is important to understand that any equation that is x=some number is just a vertical line that hits the x-axis at the given number. For example, x=-2 would be a vertical line hitting the x-axis at -2. Therefore, the line we are trying to identify would also be vertical (and have the form x=some number) because we know the lines are parallel. Then, since we're given the point (-5,4), we know the line needs to hit the x-axis at -5, therefore the equation would be x=-5.

I hope this helps.
6 0
3 years ago
If you can help me with this you are AMAZING!!!!!!!!!!
Tresset [83]

Answer:

2.

a. 2 books

n/3 books

b. 9 books

3.

a. 8 tomatoes

2/5x

Step-by-step explanation:

6/3 = 2

n/3

27/3 =9

2/5 *20 = 40/5 =8

2/5*x 2/5x

plz mark branliest if this helps

3 0
2 years ago
Read 2 more answers
Simon draws a rectangle with 2 two sides that are 2 inches long and two sides that are 3 inches long. Chaz draws a figure with t
dsp73
This figure could be a kite.

7 0
2 years ago
The area of a duck enclosure is 300 square feet, with 100 square feet occupied by a pond. Each duck in the enclosure needs more
kkurt [141]

Answer:

C GIVE BRAINLIEST PLZZZZ

3 0
2 years ago
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