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

Simplify [tex]\frac{sin^2x+cos^2x}{sin X}[/tex]

Answers

Answer 1

Let's see

[tex]\\ \rm\Rrightarrow \dfrac{sin^2x+cos^x}{sinx}[/tex]

sin²x+cos²x=1

[tex]\\ \rm\Rrightarrow \dfrac{1}{sinx}[/tex]

[tex]\\ \rm\Rrightarrow cosecx[/tex]

Answer 2

Answer:

cosec x

(or csc x)

Step-by-step explanation:

Trig Identities

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

[tex]\sf \dfrac{1}{\sin x}=cosec\: x[/tex]

Therefore,

[tex]\begin{aligned}\implies \sf \dfrac{\sin^2x + \cos^2x}{\sin x} &= \sf\dfrac{1}{\sin x}\\\\ & = \sf cosec\:x \end{aligned}[/tex]


Related Questions

Help please im slow and dont feel like doing this lol

Answers

Answer:

The answer would be .39

Step-by-step explanation:

So first we have to know the eqation to finding the area of a semicircle, this would be:

2r x π  ÷ 2 (r stands for radius)

Ok so since our diameter is 2 we need to divide that in half to find our radius which we would then get .5

And then you we would fill in the blanks and make our eqaution :

2 x 0.5 x 3.14  ÷ 2 which would give us the answer of .39

i have no idea if this is right so pls lmk!

hellllllllllllllllllllllllllllp please

Answers

Answer:

The terms in pattern Y are 2 times the terms in pattern X

Step-by-step explanation:

A 12 inch line segment is divided into two parts. Which of the following lengths result in a ratio closest to the golden ratio, 1+√5/2 ?

Answers

Answer:

2:4

Step-by-step explanation:

I remember doing this is my class

What is the perimeter of the plot of land rounded to the nearest tenth of a foot? ​

Answers

Applying the distance formula, the perimeter of the plot of land, rounded to the nearest tenth, is: 482.8 ft.

What is the Distance Formula?

Distance formula is given as: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].

Name the coordinates of the plot of and as follows:

A (0, 120)

B (140, 100)

C (140, 20)

D (0, 0)

Perimeter of the plot of land = AB + BC + CD + AD

AD = |120 - 0| = 120 ft

BC = |100 - 20| = 80 ft

Use the distance formula to find AB and CD:

AB = √[(140−0)² + (100−120)²]

AB = √20000

AB = 141.4 ft

CD = √[(140−0)² + (20−0)²]

CD= √20000

CD = 141.4 ft

Perimeter of the plot of land = 141.4 + 141.4 + 120 + 80 = 482.8 ft.

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Kaylee used her saved birthday money to set up a college savings account that earns 4.2% interest compounded weekly. If the original amount deposited was $750, how much interest will she have earned after 10 years?
Total amount of interest rounded to the nearest penny.

Answers

keeping in mind that there are 52 weeks in a year.

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$750\\ r=rate\to 4.2\%\to \frac{4.2}{100}\dotfill &0.042\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{weekly, thus fifty-two} \end{array}\dotfill &52\\ t=years\dotfill &10 \end{cases}[/tex]

[tex]A=750\left(1+\frac{0.042}{52}\right)^{52\cdot 10}\implies A=750\left( \frac{26021}{26000} \right)^{520} \\\\\\ \stackrel{\textit{\Large Amounts}}{\stackrel{accumulated}{750\left( \frac{26021}{26000} \right)^{520}}~~ - ~~\stackrel{original}{750}} ~~ \approx ~~ \stackrel{earned~interest}{391.28}[/tex]

You bought a baby fish that is 1/2 cm in length. If its length doubles every week, how long will it be in three months? Create a table to represent

Answers

Answer:

2,048 cm

Step-by-step explanation:

There are 4 weeks in a month, and the fish doubles in length every week

Let's put this into a table: (attached picture)

First we start off at 0.5 cm in week 0 (this is week 0 because you just bought the fish).

Then, the length doubles in week 1, so the fish becomes 1 cm.

In week 2, the fish's length doubles again to become 2 cm.

In week 3, the length doubles to become 4 cm.

So on, and so on until we reach a length of 2048 cm.

Therefore, after 3 months the fish's length will be 2,048 cm.

I hope this helps! Good luck, and if you have any questions please let me know in the comments!

Jessica burned 589 calories hiking for
3 hours. Use compatible numbers to
estimate about how many calories
Jessica burned each hour.

Answers

The amount of calories that Jessica burns each hour of her hike is 196.33 calories.

How many calories are burn each hour?

Division is when a number is grouped into equal groups using another number. The sign used to denote division is ÷.

Calories burn per hour = 589 / 3 = 196.33 calories.

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I NEEED HELP WITH THIS PROBLEM

Answers

Answer--[4]

Step-by-step explanation:

Because if the bottom one is 4 yards then the top one needs to be 4 yards.

there is a jar of 25 marbles. 9 of the marbles have a blue and black pattern. 6 of the marbles are purple. 10 of the marbles are green. one marble is chosen at random. what is the probability of picking to blue and black patterned marbles?​

Answers

.36% chance of picking

Answer:

Probability = 9/25

This is 36%

Step-by-step explanation:

To find the probability take the total number of possibilities (25 marbles--all of them) put that number on the bottom of a fraction. Then put the number of ways that outcome can happen (9 blue and black) and put that on top of the fraction.

Probability(event)

= specific/total

Probability(blu&blk)

= 9/25

If the fraction can be simplified, do that. 9/25 cannot be simplified.

If you need a percent for your answer, divide then multiply by 100.

A fraction bar is a division symbol.

9/25 means 9÷25.

9/25 = .36

Percent means "per hundred" To convert a decimal to a percent, multiply by 100

.36×100 is 36%

Determine the measure of angle b, and describe the relationship between the two angles shown.
None of these
40 degrees; supplementary
40 degrees; complementary
130 degrees; complementary
130 degrees; supplementary

Answers

linear pair angles are supplementary

b+50=180b=180-50b=130°

Identify the zeros of the graphed function.

A)

–2, 2

B)

–2

C)

–2, 0, 2

D)

2

Answers

Answer:

-2,2

Step-by-step explanation:

-2, 2, the X-intercepts

NO LINKS!! Please help me. Part 2​

Answers

Answer:

11)  [tex]y=-(x-6)^2+4[/tex]

12)  [tex]y=(x+5)^2[/tex]

Step-by-step explanation:

Vertex form of a parabola:  

[tex]y=a(x-h)^2+k[/tex]  where (h, k) is the vertex

Question 11

From inspection of the graph, the vertex is (6, 4)

[tex]\implies y=a(x-6)^2+4[/tex]

To find [tex]a[/tex], substitute the coordinates of a point on the curve into the equation.

Using point (4, 0):

[tex]\implies a(4-6)^2+4=0[/tex]

[tex]\implies a(-2)^2+4=0[/tex]

[tex]\implies 4a=-4[/tex]

[tex]\implies a=-1[/tex]

Therefore, the equation of the parabola in vertex form is:

[tex]y=-(x-6)^2+4[/tex]

Question 12

From inspection of the graph, the vertex is (-5, 0)

[tex]\implies y=a(x+5)^2[/tex]

To find [tex]a[/tex], substitute the coordinates of a point on the curve into the equation.

Using point (-3, 4):

[tex]\implies a(-3+5)^2=4[/tex]

[tex]\implies a(2)^2=4[/tex]

[tex]\implies 4a=4[/tex]

[tex]\implies a=1[/tex]

Therefore, the equation of the parabola in vertex form is:

[tex]y=(x+5)^2[/tex]

We need equation of the parabolas

#1

Vertex is at (6,4)

One x intercept is present (4,0)

Now put that in vertex form of parabola

y=a(x-h)²+k0=a(4-6)²+44a+4=0a=-1

So

equation

y=-(x-6)²+4

#2

Vertex at (-5,0)

So equation

y=a(x+5)²+0=a(x+5)²

See the general quadratic equation having vertex (0,0) is shifted to (-5,0) means 5 units left .

So there is no a means a=

Equation remains same

y=(x+5)²

PLEASE HELP ME WITH THIS QUESTION

Answers

Answer:

answer deleted again

Step-by-step explanation:

Answer:

900 is the answer.

12:20 pages to :30 pages

Answers

Answer:

i dont know

Step-by-step explanation:

it confusing is it even a question

If 5 C - 2 = 3c , then 24 c =
06
O 8
O 16
0 24

Answers

Answer:

24

Step-by-step explanation:

5C - 2 = 3C

-> 5C - 3C = 2

-> 2C = 2

12(2C) = 12(2) (Multiply both sides by 12)

-> 24C = 24

Wanda is working on her predictions for the next few days. She calculates that there is a 20% chance of rain on Monday and a 20% chance of rain on Tuesday. If she is correct, what is the probability that it will rain on at least one of these days?

Answers

Answer:

36%

Step-by-step explanation:

the complement of it raining on at least one of these days = it not raining on any day

this means that if it does not rain on at least one day, it does not rain on any day

thus,

1 - probability of it not raining at all = probability it rains at least one day

probability it doesn't rain on monday = 1- 20% = 80%

probability it doesn't rain on tuesday = 1 - 20% = 80%

probability it doesn't rain on monday AND it doesn't rain on tuesday = probability it doesn't rain at all

P(A and B) = P(A) * P(B) = 0.8 * 0.8 = 0.64

1 - 0.64 = 0.36 as our answer

Solve the system using elimination.

Answers

Answer:

(-1, 3)

Step-by-step explanation:

x - 5y = -16  [Equation 1]

-x + 3y = 10 [Equation 2]

Adding both equations

x - x - 5y + 3y = -16 + 10-2y = -6y = 3

x - 5(3) = -16x - 15 = -16x = -1

Solution : (-1, 3)

Solving for x and y,

→ (x - 5y = -16) + (-x + 3y = 10)

→ x - 5y - x +3y = -16 + 10

→ -2y = -6

→ y = -6/-2

→ [ y = 3 ]

Finding the value of x,

→ x - 5y = -16

→ x - 5(3) = -16

→ x - 15 = -16

→ x = -16 + 15

→ [ x = -1]

___________________

→ -x + 3y = 10

→ -x + 3(3) = 10

→ -x + 9 = 10

→ -x = 10 - 9

→ [ x = -1 ]

Arranging them in ordered pair,

→ (x,y)

→ (-1,3)

Thus, the solution is (-1,3).

Consider a standard deck of 52 cards (13 cards each in 4 suits, clubs, spades, diamonds and hearts). What is the probability of picking out 5 cards in a row which are all diamonds, without replacing any card to the deck?

Answers

5/52 as you are taking 5 cards out

Question 4 (Worth 3 points) How can the U.S. government control financial institutions? Voting on a new budget Loaning money to state governments Borrowing money from a foreign bank Passing laws for credit card companies to follow

Answers

The answer is D, or Passing laws for credit card companies to follow.

Answer: D: Passing laws for credit card companies to follow.

Step-by-step explanation:

Plsss help
Suppose f(x) = x2. What is the graph of g(x)=(x)?
O A. H
-5
у
5
B.
int
-5
5
-5
5-
OD. H
5
-5

Answers

Step-by-step explanation:

come in ! think a little bit by yourself !

when x = 1, what is f(x) ?

it is f(1) = 1² = 1

what is then g(x) ?

g(1) = 1/4 × f(1) = 1/4 × 1 = 1/4

when x = 2, what is f(x) ?

f(2) = 2² = 4

what is then g(x) ?

g(2) = 1/4 × f(2) = 1/4 × 4 = 1

and equally for x = -1 and -2.

a square function always delivers positive numbers. and so does the square function multiplied by a positive constant (like for g(x)).

the only graph, where the curve is always above the x-axis (only positive results), and where the functional value for x = 1 is much smaller than 1, and the functional value for x = 2 is actually 1, is graph D.

so, D is the right answer.

(-1) × (-1) × (-1) × (-1) × (-1) = ----------

Answers

Answer= -1
Branliest please

Answer:

-1

Step-by-step explanation:

(-1) × (-1) × (-1) × (-1) × (-1) =

1 * (-1) * (-1) * (-1) =

-1 * (-1) * (-1) =

1 * (-1) =

-1

Please help me answer this question please

Answers

Answer:

B

Step-by-step explanation:

ok so let us start with the bases its 4*3 which is 12 and there are 2 so 12+12 and the bottom is 4*10 so its 12+12+40 then the back is 3*10 so its 12+12+40+30 and the front is easy 5*10 so 12+12+40+30+50 is the correct answer

Make me brainliest please

l need the answer for this question asap!!!

Answers

Answer:Cant help with that awnser due to its a test. Figure it out your self or ask your teacher for heLp! L

Step-by-step explanation:

Help! Explain please I need to know I have a test tomorrow!

Answers

hey there!

The given expression is [tex] 25x^{2}-49y^{2}[/tex]

This can be written as [tex](5x)^{2}-(7y)^{2}[/tex]

This is in the form of [tex]a^{2}-b^{2}[/tex]

This can be written in form of (a+b)(a-b)

So now our answer is (5x-7y)(5x+7y)

Hope it helps you dear!
Have a good day <3
given:

[tex]25 {x}^{2} - 49 {y}^{2} [/tex]

solution:

[tex] {a}^{2} - {b}^{2} = (a + b)(a - b)[/tex]

[tex]a = 5x[/tex]

[tex]b = 7y[/tex]

[tex]25 {x}^{2} - 49 {y}^{2} [/tex]

[tex] = (5x - 7y) {}^{2} [/tex]

[tex] = (5x - 7y)(5x + 7y)[/tex]

hence, the correct answer is option B

can someone help me I pay you £50

Answers

Answer:

1,-1  1,-3 6,1

Step-by-step explanation:

keep the eruos

x 5 10 15 20 y 21 26 31 36 An equation is y =

Answers

Answer:

y = x + 16

Step-by-step explanation:

1. Find slope: 1

2. Find y intercept by plugging in 2 points using slope intercept formula: 16

3. Plug in the information that you have into your formula: y = x + 16

If f(x)=3x+2 , determine the value of 2f(x) .

Answers

Answer:

6x+4

Step-by-step explanation:

I hope this helps! If it does, please mark me Brainliest! Thanks in advance!

Answer:

6x+4

Step-by-step explanation:

2(3x+2)

2*3x + 2*2

6x + 4

Evaluate each algebraic expression for x = 2, -3, 6, -5

Answers

The values of the expression for x = 2, -3, 6, -5 are -10, -12, 6 and -16, respectively

How to evaluate the expression?

The expression is given as:

f(x) = 2x - 6

When x = -2, we have:

f(-2) = 2(-2) - 6 = -10

For other values of x, we have:

f(-3) = 2(-3) - 6 = -12

f(6) = 2(6) - 6 = 6

f(-5) = 2(-5) - 6 = -16

Hence, the values of the expression for x = 2, -3, 6, -5 are -10, -12, 6 and -16, respectively

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What’s the volume for this problem?

Answers

Answer:

2144.66

Step-by-step explanation:

Answer:

2144.93yd^3

Step-by-step explanation:

[tex]volume \: of \: a \: spher = \frac{4}{3} \pi \: r {3}^{} \\ radius \: r = \frac{16}{2} = 8yd \\ volume = \frac{4}{3} \times 3.142 \times 8 {}^{3} \\ volume = \frac{6434.816}{3} = 2144.93yd {}^{3} [/tex]

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Answers

Answer:

x = 24°

Step-by-step explanation:

angle BOC + angle BOA = 180°

angle BOC = 156°, angle BOA = x°

so x + 156° = 180°

=> x = 180° - 156° = 24°

so the measure of angle x is 24°

HOPE THIS HELPS AND HAVE A NICE DAY <3

Answer: x + 24

Step-by-step explanation:

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