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Answers

Answer 1

[tex]\huge \rm༆ Answer ༄[/tex]

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Answer 2

For x such that 0 < x < [tex]\frac{\pi}{2}[/tex], the mathematical expression is:

[tex]\frac{\sqrt{1 \;-cos^2x} }{sinx} + \frac{\sqrt{1 \;-sin^2x} }{cosx} = 1+1=2[/tex]

Given the following data:

[tex]\frac{\sqrt{1 \;-cos^2x} }{sinx}[/tex]

[tex]\frac{\sqrt{1 \;-sin^2x} }{cosx}[/tex]

In Trigonometry, you should take note of the following mathematical expression:

[tex]sin^2x + cos^2x = 1[/tex]

Therefore, we can obtain the following:

[tex]sin^2x = 1 - cos^2x[/tex]   ...equation 1.

[tex]cos^2x = 1 - sin^2x[/tex]    ...equation 2.

Substituting the equations respectively, we have:

[tex]\frac{\sqrt{1 \;-cos^2x} }{sinx} + \frac{\sqrt{1 \;-sin^2x} }{cosx} = \frac{\sqrt{sin^2x} }{sinx} + \frac{\sqrt{cos^2x} }{cosx}\\\\[/tex]

Taking the square roots, we have:

[tex]\frac{sinx}{sinx} + \frac{cosx}{cosx} = 1 +1\\\\1+1=2[/tex]

Therefore, for x such that 0 < x < [tex]\frac{\pi}{2}[/tex], the expression is:

[tex]\frac{\sqrt{1 \;-cos^2x} }{sinx} + \frac{\sqrt{1 \;-sin^2x} }{cosx} = 1+1=2[/tex]

Read more on trigonometry here: https://brainly.com/question/4515552


Related Questions

(03.04 MC)The youth group is going on a trip to the state fair. The trip costs $58. Included in that price is $12 for a concert ticket and the cost of 2 passes, one for the rides and one for the game booths. Each of the passes costs the same price. Write an equation representing the cost of the trip, and determine the price of one pass. Solve your equation by showing your work and steps.

Answers

Answer:

58= 2x +12

each pass is 23 dollars

Step-by-step explanation:

let x represent the cost of the passes

58= 2x + 12

solve for x

58-12 = 2x +12 -12

46 = 2x

46/2 =2x/2

23 = x

Write 90 as a product of primes. Use index notation when giving your answer.​

Answers

Answer:

90 =3 × 3 × 5 × 2.

Step-by-step explanation:

............

90/2= 45
45/3= 15
15/3=5
5/5=1

90= 2*3*3*5 = 2*3 (raised to the power of 2) *5

Use the original price and the markdown to find the retail price.
Original price: $130; Markdown: 28%

Answers

Answer:

The retail price would be $93.6

Step-by-step explanation:

This is because you can divide 130 by 100 to find 1% of such, and you'll get 1.3. Then, multiply 1.3 by 72, which makes 72% of the original price, to come find your answer, $93.6. Hope this helps!

9.608 x 4.09 I need help plzz I will get a f on thing help pls asap

Answers

Answer:

39.29672   hehe

Now simplify the expression.
(2x − 3)(5x + 6)

Answers

Answer:

10x+18

Step-by-step explanation:

2x*5x=10x

-3*6=18

10x+18=

x=1.8

The simplifies expression through foil is 10x^2+7x+18

please help!!! ILL GIVE U BRAINLIEST.

Answers

Answer:

f(x) is translated by 4 units left.

Step-by-step explanation:

did it help ?

well, hope it helps !

The cost to rent a car from Rent a Wreck is $15 a day plus a $30 deposit. The cost to
rent a car from Barely Running is $20 a day. How many days would you have to rent the
car for the cost of both companies to be the same?

Answers

Answer:

Step-by-step explanation:

Difference
between limiting value and functiona
value of function ? give
some eample

Answers

Answer:

The value of a function is the actual calculation done at a certain point. The limit is - roughly speaking - the value at points that are “arbitrarily close” to the same point. For most commonly used functions, the value of a function at a point, and the limit at the same point, is the same - at least for most values.


Can someone plzzzz help you have to enter the answer like this:26 but that is not the answer

Answers

Answer:

84 cm²

Step-by-step explanation:

Total surface consists of 2 right triangles and 3 rectangles.

Sum of their areas is the total surface area.

Area of 2 triangles:

A = 2*(1/2)*4*3 = 12 cm²

Area of 3 rectangles:

A = 6*(3 + 4 + 5) = 6*12 = 72 cm²

Total surface area:

S = 12 + 72 = 84 cm²

Marco needs to buy some cat food. At the nearest store, 3 bags of cat food cost $15.75. How much would Marco spend on 5 bags of cat food? ​

Answers

Answer:

26.25

Step-by-step explanation:

26.25

Answer:

5 bags = $26.25.

Explanation

First, you need to find out how much $ it takes to buy ONE(1)  bag of cat food. To find out, you have to do 15.75  divided by 3 bags = $5.25.

Thats how much cash($) it takes to buy ONE(1) BAG. To buy FIVE(5) bags, you have to multiply 5.25 x 5 = $26.25.

If each bag of cat food is = $5.25 dollars each, how much dollars will he have to pay for 5 bags?

Situation

5.25 x 5 = 26.25

If x=2, y=4, m= -1, and n=3 find the value of :
X^m+n * y^n-m/ x^m-n * y^n+m

Answers

Answer:

The value is [tex]\frac{1}{16384}[/tex]

Step-by-step explanation:

Here we need to find

[tex]\frac{x^{m+n}\cdot y^{n-m}}{x^{m-n}\cdot y^{n+m}}=x^{m+n-(m-n)}\cdot y^{n-m-(n+m)}\\\\=x^{2n}\cdot y^{-2m}\\\\=2^{2\cdot-1}\cdot 4^{-2\cdot3}\\\\=\frac{1}{2^2\times4^6} \\\\=\frac{1}{16384}[/tex]


I need helpppopppppppppppp

Answers

try it use your brain you can do it

Step-by-step explanation:

im not sure how to explain

Don't ask ;-;.......

Answers

Answer:

I believe the answer is 5

Ms. Rowlen went Black Friday shopping and she bought a flat screen TV that originally costs $259.00. She used her super Savings Coupon of 45%, how much did Ms. Rowlen pay for the TV?

Answers

If she used a coupon of 45%, the price markdown would be 116.55. You must subtract the markdown from the original cost to discover the amount she had to spend.

259.00 - 116.55 = 142.45

So, Ms Rowlen had to spend 142.45 on the TV.

Brian and Andie were calculating their total money saved to see if they could buy a game to share. Andie notices that she has 24 more dollars than Brian. If together they have $72, how much money does Brian and Andie have? ​

Answers

Answer:

Andie has 48 and Brian has 24

hope it's correct

what’s the slope of y=x+5

Answers

I dont think there is a way to find out the slope bc there is no x intercept

Answer

if there´s any answer choice, the answer is 1

Step-by-step explanation:

WILL GIVE BRAINLIEST!
what are the values of a and b so the system of equations has infinitely many solutions?
y= -1/2x+b
y= ax + 15

Answers

Answer:

a: -1/2

b: 15

Step-by-step explanation:

A system that has infinite solutions is the same line on top of itself.

Hope that helps

Type the expression that results from the following series of steps:
Start with 6 and subtract
z

Answers

6-z

Z-6 would be wrong because the question said start with 6

Donald plays with his wood cubes and decides to make a pyramid

Answers

P3 = 10
10 + 5 = 15 = P4
15 + 6 = 21 = P5
21 + 7 = 28 = P6
28 + 8 = 36 = P7
36 + 9 = 45 = P8
45 + 10 = 55 = P9
55 + 11 = 66 = P10

What is x, the distance between points A and A'? 2. 4 units 4. 8 units 13. 6 units 14. 4 units.

Answers

The distance between points A (3, -5) and A' (2, -3) is 2.4 units.

Given that,

The points A (3, -5) and A' (2, -3).

We have to determine,

The distance between point A and A'.

According  to the question,

The distance between two points is determined by using the distance formula.

[tex]\rm Distance \ formula = \sqrt{(x_2-x_2) ^2+ (y_2-y_2)^2[/tex]

Then,

The distance between points A (3, -5) and A' (2, -3) is,

[tex]\rm Distance = \sqrt{(2-3) ^2+ ((-3)-(-5))^2}\\\\ Distance = \sqrt{(-1) ^2+ (2)^2}\\\\ Distance = \sqrt{1+4}\\\\Distance = \sqrt{5}\\\\Distance = 2.4 \ units[/tex]

Hence, The distance between points A (3, -5) and A' (2, -3) is 2.4 units.

For more details refer to the link given below.

https://brainly.com/question/8069952

Answer:

13.6 units

Step-by-step explanation:

Edge

WILL GIVE BRAINLIEST!

Please look at the photo for the question !!!

Answers

Answer:

-2

Step-by-step explanation:

the range is pattern is -4

[tex]\text{The answer is}~ -4~ \text{because the relation is}~ y = -4x + (-6)[/tex]

You are thrown 4 fastballs and you must hit them in a fair zone to count.
If you hit al 4 in a fair zone, you win the big prize
If you hit 3 or 2 in a fair zone, you win a medium size prize
If you hit 1 in the fair zone, you get the small prize
If you hit zero, you are not a winner and receive nothing
Hint Create a tree diagram to help calculate the probabilities.
What is the probability you will win the big prize?
O 1/5
O 3/32
none of the above
2/9
1/16

Answers

Using the binomial distribution, it is found that there is a [tex]\mathbf{\frac{1}{16}}[/tex] probability you will win the big prize.

For each ball, there are only two possible outcomes, either it is hit or it is not. The probability of hitting a ball is independent of any other ball, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.

In this problem:

4 balls are thrown, hence [tex]n = 4[/tex]0.5 probability of hitting each of them, hence [tex]p = \frac{1}{2}[/tex]

You win the big prize if you hit 4 balls, hence, the probability is P(X = 4).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{4,4}.\left(\frac{1}{2}\right)^{4}.\left(\frac{1}{2}\right)^{0} = \frac{1}{16}[/tex]

[tex]\mathbf{\frac{1}{16}}[/tex] probability you will win the big prize.

A similar problem is given at https://brainly.com/question/24863377

Answer:

1/16

Step-by-step explanation:

yurr

ILL GIVE BRAINLIEST
ALGEBRA 2 There are several methods for solving quadratic equations. But why don’t we use the same method every time? Wouldn’t that be easier?
What is your preferred method for solving quadratic equations? Describe the method in your own words and explain why you prefer it over the other methods.
What are the limitations of your preferred method?
Please follow these guidelines for your discussion posts:

Write at least 150–300 words.

Answers

Answer:

See below

Step-by-step explanation:

I'll provide an example to help you. Let's say we were solving [tex]x^2+5x-7=0[/tex] and we wanted to factor the quadratic on the left side. We can't do that because the factors of -7 don't add up to 5. So we'd have to use the quadratic formula. The quadratic formula is essentially the last resort that will solve all quadratic equations, so it could be seen as a preferred method. But, unless you can factor the quadratic, it's much easier to solve.

Now let's do another one. [tex]x^2+5x+6=0[/tex] for example can be written as [tex](x+2)(x+3)=0[/tex] and we can easily get [tex]x=-2[/tex] and [tex]x=-3[/tex] as solutions since plugging them into the factors would produce 0 (from the Zero Product Property). If we used the quadratic formula, it would take more time to plug in the variables and solve when we can just simply factor.

Hopefully, this explanation helps you to think of your discussion post!


Taylor left to walk the dog at
4:25. She got back at 5:00. How
long was the dog's walk?

Answers

Answer:

Taylor walked 35 minutes

Step-by-step explanation:

4:25

+:35

=5:00.

once a clock hits 60 it's automatically turned to the next hour so since 25 + 35 = 50 it's automatically turned to 5:00

HELP ME PLEASE GUYS! :)

Answers

Remember that a system of equations (two lines) only has solutions if the lines cross. In this case, the lines are parallel, which means that they will never cross. Therefore, there are no solutions.

Hope this helps! :)

how do i find this find x and y

Answers

Answer:

x = 20, y = 10

Step-by-step explanation:

Triangle RTS is isosceles. You can tell because both of the base angles have the same measure. That means that RT must also be 15. Triangle UTR is equilateral because all 3 angles have the same measure. UT is x - 5 and is equal to RT which is 15, so x - 5 = 15, and x is 20.

Since triangle UTR is equilateral, angle URT is 60 degrees. Angle SRT is linear with angle URT, so angle SRT is 120 degrees. That means the other 2 angles must add to 60 degrees, making each one worth 30 degrees. Angle RTS says 3y, so 3y =30, and y = 10

number n is positioned to the left of the number 1 on a number line. Which statement must be true?

Answers

Answer:

sorry I need points you understand I

Step-by-step explanation:

have -32 points

line has equation 3x + y = 15

Find the gradient of the line.

Answers

Answer:

  -3

Step-by-step explanation:

We can add -3x to put the equation into slope-intercept form.

  y = -3x +15

The gradient of the line (slope) is the coefficient of x: -3.

The gradient is -3.

one of 50 states is chosen at random. What is the probability of not choosing a state that begins with the letter n?

Answers

Answer:

8 states start with the letter N. Because you’re looking for the amount of states not starting with the letter N, we’ll subtract 8 from 50. Then you’ll put that over the total amount of states. So you should end up with 42/50 which will simplify to 21/25. Hope this helped!

Step-by-step explanation:

David got $130 for his birthday. He spent 20% of that on a pair of shorts. He wants to save ¼ of what he has left. How much does he want to save

Answers

Answer:

26

Step-by-step explanation:

130-20%=104

25% of 104 is=26

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