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dezoksy [38]
2 years ago
8

Simplify cos(2x)/ cos(x)-sin(x)

Mathematics
1 answer:
viva [34]2 years ago
5 0

Answer:

cosA + sinA

Step-by-step explanation:

Using trig. identities :

cos(A + B) = cosAcosB - sinAsinB

cos2A = cos²A - sin²A

cos2A = (cosA + sinA)(cosA - sinA)

Therefore, your question is :

=> cos2A/(cosA - sinA)

=> (cosA + sinA)(cosA - sinA)/(cosA - sinA)

=> cosA + sinA

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Enter the value that is missing
masha68 [24]
I think it’s 15.75. Because: 2•1.05=2.10. 5•1.05= 5.25. 20•1.05= 21.00. So, 15•1.05= 15.75.
3 0
3 years ago
What is 200 +90 + 3 in standard form?
xxTIMURxx [149]

Answer: 293

200 = 2

90 = 9

3 = 3

Answer is 293.

Hope this helps!

4 0
3 years ago
A store pays $119 for a scooter. The store marks up the price by 40%.
Inessa [10]

Answer:

Step-by-step explanation:

if the store marks up the price by 40%

119*(40/100)=47.60

119+47.60=166.60

5 0
3 years ago
Please respond to the question below in your own words with proper explanations
ycow [4]

Answer:

t(400)=673.

It means that 673 of 9 inch tiles are required to cover an area of 400 square feet, when spacing the tiles a quarter inch apart.

Step-by-step explanation:

Given:

The function relating number of 9 inch tiles required and area to cover is:

t(A)=\frac{144}{9.25^2}A

Now, plug in 400 for A to evaluate t(400).

t(400)=\frac{144}{9.25^2}\times 400=\frac{144\times 400}{85.5625}=\frac{57600}{85.5625}=673.19\approx6225

Therefore, Don required  673 of 9 inch tiles to cover an area of 400 square feet, when spacing the tiles a quarter inch apart.

4 0
2 years ago
If the table shown below represents a function, then which is the possible value for f?
cluponka [151]

Answer:

C 2

Step-by-step explanation:

This is a parabolic function

Notice how we go negative and then positive

y = ax^2 +bx+c

Let x = 0

-5 = a(0) + b(0) +c

c = -5

y = ax^2 + bx -5

Let x = 3

4 = a(3)^2 +b(3) -5

Let x=-3

4 = a(3)^2 -b(3) -5

Add the two equations

4 = a(3)^2 +b(3) -5

4 = a(3)^2 -b(3) -5

----------------------------

8 = 2a (3)^2 - 10

18 = 2 a(9)

18 = 18a

a =1

Solving for b

4 = 1(3)^2 -b(3) -5

4 = 9 -3b -5

4 = 4 -3b

0 = -3b

0 =b

The equation is

y = (x)^2  -5

Letting y = -1

-1 =x^2 -5

Adding 5 to each side

4 = x^2

Taking the square root of each side

±2 = x

x= ±2

Given the choices

5 0
2 years ago
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