Help me pls and please include the steps to how you got the correct answer. thank you

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

tan x = [tex]\frac{sinx}{cosx}[/tex] , sin²x + cos²x = 1

Consider the left side

[tex]\frac{1-tan^2x}{1+tan^2x}[/tex]

= [tex]\frac{1-\frac{sin^2x}{cos^2x} }{1+\frac{sin^2x}{cos^2x} }[/tex] ← multiply numerator/ denominator of the whole fraction by cos²x

= [tex]\frac{cos^2x-sin^2x}{cos^2x+sin^2x}[/tex]

= [tex]\frac{cos^2x-sin^2x}{1}[/tex]

= cos²x - sin²x

= cos²x - (1 - cos²x)

= cos²x - 1 + cos²x

= 2cos²x - 1

= right side , thus proven

[tex]\frac{1 - \tan^2(x)}{1 + \tan^2(x)}\\= \frac{\frac{\cos^2(x)}{\cos^2(x)} - \frac{\sin^2(x)}{\cos^2(x)}}{\frac{\cos^2(x)}{\cos^2(x)} + \frac{\sin^2(x)}{\cos^2(x)}}\\= \frac{\frac{\cos^2(x) - \sin^2(x)}{\cos^2(x)}}{\frac{\cos^2(x) + \sin^2(x)}{\cos^2(x)}}\\= \frac{\cos^2(x) - \sin^2(x)}{\cos^2(x)} \cdot \frac{\cos^2(x)}{\cos^2(x) + \sin^2(x)}\\= \frac{(\cos^2(x) - \sin^2(x)) \cdot \cos^2(x)}{\cos^2(x) \cdot (\cos^2(x) + \sin^2(x))}\\= \frac{\cos^2(x) - \sin^2(x)}{\cos^2(x) + \sin^2(x)}[/tex]

[tex]= \cos^2(x) - \sin^2(x)\\= \cos^2(x) - (1 - \cos^2(x))\\= \cos^2(x) - 1 + \cos^2(x)\\= 2\cos^2(x) - 1[/tex]

Answer:

8x^2-8.76x+2.92

Step-by-step explanation:

Factor using FOIL and then simplify

This is the same as writing the fraction [tex]\frac{24}{7}[/tex]

=======================================================

Explanation:

Use the pythagorean theorem to find the missing side.

[tex]a^2 + b^2 = c^2\\\\a^2 + 24^2 = 25^2\\\\a^2 + 576 = 625\\\\a^2 = 625 - 576\\\\a^2 = 49\\\\a = \sqrt{49}\\\\a = 7\\\\[/tex]

The horizontal side of the right triangle is 7 units long.

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

The [tex]\tan(\theta)[/tex] is the ratio of the opposite over adjacent.

[tex]\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(\theta) = \frac{\text{vertical}}{\text{horizontal}}\\\\\tan(\theta) = \frac{24}{7}\\\\[/tex]

The value for the tan [tex]\theta[/tex]  is 24/7.

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

H= 25

P = 24

Now, Base, B= √H² - P²

B= √25² - 24²

B= √625- 576

B= 7

Now, tan [tex]\theta[/tex] = P/ B

                  = 24/ 7

Hence, the value for the tan [tex]\theta[/tex]  is 24/7.

Learn more about Trigonometry here:

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Answer:

Step-by-step explanation:

Solve for CF

CF = CE - FE

CF = 34 - 18 = 16

Bisectors Cut the base line they are connect to in a proportion.

40/CF = x/18

40/16 = x/18              Cross Multiply

16x = 40 * 18             Combine the right

16x = 720                  Divide by 16 on both sides

16x/16 = 720/16

x = 45

Answer:

that is the orgin which means the middle.

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem to find the hypotenuse of length 'c'.

   [tex](length-of-leg1)^2+(length-of-leg2)^2=(length-of-hypotenuse)^2\\15^2+36^2 =c^2\\c = \sqrt{15^2+36^2} \\c= 39[/tex]

Thus c equals 39.

Hope that helped!

Answer:

x=-3

Step-by-step explanation:

hoping that it will help you

Answer:

$24

Step-by-step explanation:

Ava + her 3 friends = 4 people total.

The bill was $96

To split this evenly among 4 people we can divide the bill by 4.

96/4 = 24

Therefore each person would pay $24.

Hope this helps! :)

The answer to your question is 32

2 (10-4)2+8

2*(6)*2+8

2*6*2=24

24+8=32

Answer:

x = [tex]\sqrt{15}[/tex]

Step-by-step explanation:

Since 2 sides are equal then triangle is isosceles and the segment from the vertex is a perpendicular bisector.

Th triangle is divided into 2 right triangles with legs x and 7 and hypotenuse 8

Using Pythagoras' identity, then

x² + 7² = 8²

x² + 49 = 64 ( subtract 49 from both sides )

x² = 15 ( take square root of both sides )

x = [tex]\sqrt{15}[/tex]

1750 litres.............50 cars

1960 litres.............n cars

so n x 1750 = 1960 x 50

n = 98000 : 1750

n = 56

56 cars tanks will be filled

Answer:

56

Step-by-step explanation:

1750 divided by 50 to find out how much litres each car gets. =35

so 35 litres per car so divide 1960 by 35. =56

56 cars can be filled

CHECK ANSWER.

the six extra cars so 35 multiplied by 6. =210

1750+210=1960!

Answer:

N=32

Step-by-step explanation:

Answer: 32

Step-by-step explanation:

32-18=14

Answer:

Yes

Step-by-step explanation:

9 can go into 8397 evenly without any remainders.

Answer:

8397/9= 933

8397 is divisible by 9 if you divide 8397 by 9 and the quotient is an integer. The easiest way to determine if 8397 is divisible by 9 is to calculate the sum of the digits in 8397. If the sum of the digits is divisible by 9, then 8397 is divisible by 9.

8+3+9+7= 27

27 is divisible by 9

Step-by-step explanation:

Answer:

a) x³y²

b) 6x²y³

Step-by-step explanation:

For a), x × x × x can be simplified to x³ (there are three x's multiplying each other) and y × y can be simplified to y² (there are two y's multiplying each other)

For b) 2 × 3 can be simplified to 6, x × x can be simplified to x² and y × y × y can be simplified to y³

Hope this helps!

Answer:

13.8

Step-by-step explanation:

If Points X and Z are on a number line and point Y partition line XZ into two parts where XY: YZ = 1:4, this can be expressed as;

XY/YZ = 1/4

cross multiply;

YZ = 4XY

Also, if the coordinate of X is 1.3, and the coordinate of Y is 3.8, then the distance XY will be expressed as XY = 3.8 - 1.3

XY = 2.5

YZ = 4(2.5)

YZ = 10

Since Y is at 3.8 and YZ is 10, then coordinate Z will be YZ + Y

coordinate of Z = 10+3.8

coordinate of Z = 13.8

Answer:

the mean

Step-by-step explanation:

mean is calculated average

Answer:

A: the mean

Step-by-step explanation:

Sorry for this very late response, but if anyone wasn't sure if answer A is correct, it is. I can confirm this because I just took the test, I hope I could help! (:

Answer:

x-5

Step-by-step explanation:

Answer:

i don't know I don't have ideas about it

The right answer will be both I and II

I. In the effective rate formula, n is equal to one.

II.The nominal rate is 7.918%.

Compound interest is the interest on a loan or deposit that accrues on both the initial principal and the accumulated interest from previous periods.

The formula for the compound interest is given as:

[tex]A=p(1+\dfrac{r}{n})^{nt}[/tex]

Here

A= amonut

P= principle

r=rate of interest

t=time period

n=for how much time compunded

Thus we can see in the question it is compounded annually so n = 1 and the rate is given as 7.918%

Thus the right answer will be both I and II

I. In the effective rate formula, n is equal to one.

II.The nominal rate is 7.918%.

To know more about compound interest follow

https://brainly.com/question/24924853

Answer:

its a right triangle

Step-by-step explanation:

[tex]50^{2} = 30^{2} + 40^{2}[/tex]

Answer:

Step-by-step explanation:

The question in details "Mike is in college and it's time to pay textbook fees! If Mike doing work study for $5 per hour, and works 2 hours per week, how long will it take Mike to pay off $84 in fees?"    

given that Mike is paid $5 per hour

and that he only works 2 hours per week

that means in a week he earns= 5*2= $10

Also, given that mike has a fee of $84 to pay

it would take him 84/10= 8.4weeks

it would take him 8.4weeks to pay the money

The total point is an illustration of arrangements

There are 6 different numbers that could the total points scored by Jordan

The different number (n) that can represent the total point is calculated as:

n = 2 points + 3 points + 1

Remove the units

n = 2 + 3 + 1

Evaluate the sum

n = 6

Hence, there are 6 different numbers that could the total points scored by Jordan?

Read more about arrangements at:

https://brainly.com/question/6032811

Answer:

31,168 miles

Step-by-step explanation:

3,896 x 8 = 31,168

Hey there!

Perpendicular lines have slopes that are opposite reciprocals. This means we take a number, flop it over, and change its sign.

In this case, the slope is 1/6.

First, flop it over:

6/1 (or just 6)

Then, change its sign:

-6

Now, the line passes through the point (0, 5)

The reason 5 is highlighted is because it's the y-intercept of 5.

So we have the Slope & the Intercept.

See what I mean? Yeah! We can write the line's equation in Slope-Intercept Form (y=mx+b)

In this formula, m stands for the slope, and b stands for the y-intercept.

In this case, -6 is the slope, and 5 is the y-intercept.

Hence, the equation is

[tex]\boxed{\boxed{\bold{y=-6x+5}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

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[tex]\text{An amiable teenager }[/tex]

Answer:

7 cm

Step-by-step explanation:

Pls mark me as brainliest if its correct and learn wrll

Answer:

x <4

Step-by-step explanation:

hope it helps

for any question comment me ❤❤

Answer:

$9

Step-by-step explanation:

Answer: A

Step-by-step explanation: