Let StartFraction cosine (2 x) Over cosine (x) + sine (x) EndFraction = 0 where 0° ≤ x ≤ 180°. What are the possible values for x?

a- 45 only
b- 135 only
c- 45 or 225
d- 135 or 315

*NEED HELP ASAP

Answers

Answer 1

Answer:

The correct option is;

a- 45° only

Step-by-step explanation:

The given equation can be presented as follows;

[tex]\dfrac{cos (2 \cdot x)}{cosine (x) + sin (x)} = 0[/tex]

We have that cos(2·x) = cos²(x) - sin²(x)

Also, we have, by the difference of two squares, the following relation;

cos²(x) - sin²(x) = (cos(x) - sin(x))(cos(x) + sin(x))

Therefore, the given equation can be written as follows;

[tex]\dfrac{cos (2 \cdot x)}{cosine (x) + sin (x)} = \dfrac{(cos(x) - sin(x)) \times (cos(x) + sin(x))}{(cos (x) + sin (x))} =0[/tex]

Crossing the common term, (cos(x) + sin(x)), in the numerator and the denominator, we have;

[tex]\dfrac{(cos(x) - sin(x)) \times (cos(x) + sin(x))}{(cos (x) + sin (x))} = cos(x) - sin(x) = 0[/tex]

From cos(x) - sin(x) = 0, we have;

Adding sin(x) to both sides of the equation

cos(x) - sin(x) + sin(x) = 0 + sin(x)

cos(x) = sin(x)

Therefore, the opposite leg and the adjacent leg of the right triangle formed with reference to the angle x are equal

∴ x = 90/2 = 45° only for 0° ≤ x ≤ 180°

Answer 2

Answer:

A. 45 only

Step-by-step explanation:

EDGE 2020


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Answer: 2

Step-by-step explanation:

The equation of line CD is y = -2x - 2. Write an equation of a line parallel to line CD in slope-intercept form that contains point (4, 5).
y = -2x + 13
y=zx+7
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y = -2x - 3

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Answer:

y = -2x + 13

Step-by-step explanation:

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Answer:

answers below.

Step-by-step explanation:

50+x+5+180-4x-10=180

225-3x=180

-3x=-45

x=15

m<B=20

m<ACB=110

m<ACD=70

PLEASEEEE 10 points

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Answer

7?

Step-by-step explanation:

What is the order fractions least to greatest 3/5 1/4 1/2 2/5

Answers

Answer:

1/4, 2/5, 1/2, 3/5

Step-by-step explanation:

1/4=0.25

3/5=0.6

2/5=0.4

1/2=0.5

Answer:

[least]  1/4, 2/5 , 1/2, 3/5 [greatest]

Step-by-step explanation:

Well lets find out LCD (least common denominator) for 4,5 and 2

LCD-20

12/20 =used to be 3/5

5/20=used to be 1/4

10/20=used to be 1/2

8/20=used to be 2/5

Now that you know all of them and have common denominator lets order!!

[least]  1/4, 2/5 , 1/2, 3/5 [greatest]

Hope this helps :3

You move right seven units. You end at 2,2. Where did you start?

Answers

Answer:

(2-7,2) = (-5,2)

Step-by-step explanation:

The toy rocket is how much inches long?

Answers

Answer:

10.4

Explanation:

If you zoom in closely you can see the toy rocket is at the 4th tick on the ruler, so this would make the toy rocket 10.4 inches long!

Straws are sold in packs and boxes.
there 15 straws in each pack.
there are 48 straws in each box.
Tricia buys p packs of straw and boxes of straw.
write down an expression in terms of p and b, for the total number of straws bought by tricia.

Answers

15p + 48b = total amount of straws?

my bros if 1+1 was to = 3 would 2+2=5?​

Answers

Answer:

No

Step-by-step explanation:

1+1=2 2+2=4

Consuelo deposited an amount of money in a saving account tha earned 6.3% simple interest. After 20 years, she earned $5,922 in interest. What was her initial deposit? Use the simple interest formula I = P r t

Answers

Answer:

5922=Px6.3%x20

5922=Px1.26

P=5922/1.26

P=4700

Step-by-step explanation:

A cyclist travels 12 km from home to the park.
She leaves home at 13:00 and arrives at the park at 13:30.
What is her average speed in km/h?

Answers

Answer:

Step-by-step explanation:

12 km to the park in 30 mins so multiply the 12 km by 2 to make a whole hour.

12*2= 24 km/h

The price for gasoline is represented by the equation y = 3.69x, where 'y' represents the total price for 'x' gallons of gasoline. On a graph, the number of gallons is represented by the horizontal axis, and the total price is represented on the vertical axis. Determine whether each statement describes the graph of the equation. Select True or False for the following statement. The graph of the lines goes through the points (7.38, 2) and (11.07, 3).

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Answer:true

Step-by-step explanation:

What is the slope of the line that passes through the points (-2,6) and (4,10)?

Answers

Answer:

The answer is

[tex] \huge \frac{2}{3} \\ [/tex]

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]

From the question we have

[tex]m = \frac{10 - 6}{4 - - 2} = \frac{4}{4 + 2} = \frac{4}{6} = \frac{2}{3} \\ [/tex]

We have the final answer as

[tex] \frac{2}{3} \\ [/tex]

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A cookie factory uses 1/6 of a bag of flour in each batch of cookies the factory used 1/2 of a bag of flour yesterday how many batches of cookies did the factory make

Answers

Answer:

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Step-by-step explanation:

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Answer:

Y=-2x+9

Step-by-step explanation:

The first thing is to know the formula which is Y÷x

Then... The line (1,7)use the coordinates Y and X so it will be as follows... Label 1 and 7 as x, y

So it will be Y-7÷X-1 = the gradient which is - 2

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Answers

Answer:

16.05

Step-by-step explanation:

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Answer:

16.05

Step-by-step explanation:

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Answers

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Have a good day


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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answer:

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

last Summer was 20° , this Summer is 21° so is 1° more so the question is what is the increase 1° of 20

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cross multiply

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Answers

Answer:

b

Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

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I need help with in the next 10 minutes I will give brainiest!!!!!

Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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GR8reg_Math_T3_USA_OL_FY21 Question: 1-1
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Answers

Answer:

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Step-by-step explanation:

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