Prove the identity sin^2theta x csc^2 theta = sin^2 theta + cos^2 theta 20 points!!

Answers

Answer 1

Answer:

Step-by-step explanation:

sin² Θ csc² Θ =sin² Θ + cos² Θ

sin² Θ 1/sin² Θ = sin² Θ + cos² Θ

1 = sin² Θ + cos ² Θ (this is a trig identity)


Related Questions

Can someone plz help me ASAP!!!!!!!!

Answers

Answer:

A) The number halfway between -2 and 6 is 2.

B) -10 is halfway between -18 and 8

1. In rhombus ABCD, the length of OC is 4.25 com. What is the length of OA?
A. 4.25 cm
B. 2.13 cm
C. 10.0 cm
D. 8.5cm

Answers

The length of OA is also 4.25 cm. This is because all sides of a rhombus are equal, which therefore tells us that all diagonals will be equal and that the segment is intersected perpendicularly, which tells us the line has been cut exactly in half, giving us 4.25 cm, or A, as our answer

Answer: OA = 4.25cm

Step-by-step explanation:

As the diagonals of Rhombus bisects and divides the diagonal into two equal parts OA = OC

OA = 4.25 cm

please click thanks and mark brainliest if you like :)

Please help explanation if possible

Answers

that's the answer pls mark as brainliest

Answer:

x = 71 and y = 19

Step-by-step explanation:

Given the 2 equations

x + y = 90 → (1)

x = 14 + 3y → (2)

Substitute x = 14 + 3y into (1)

14 + 3y + y = 90 ( subtract 14 from both sides )

4y = 76 ( divide both sides by 4 )

y = 19

Substitute y = 19 into (1) for value of x

x + 19 = 90 ( subtract 19 from both sides )

x = 71

Larger number x = 71 ; Smaller number y = 19

A square has a perimeter of 32 and one vertex at (6,8). what could be the location of another vertex of this shape?

PLEASE HELP I AM IN A RUSH!!!​

Answers

Answer:

6,5

Step-by-step explanation:

Answer:

(6,0),(-2,8),(-2,0)

Mathhhhhhhhhhhhhhhhhhhhhhhh Algebraaaaaaaa

Answers

Answer:

m=5/3

Step-by-step explanation:

Answer:

5/3 or 1 2/3

Step-by-step explanation:

First you subtract 4/3 from the left side. 23/6-4/3= 2 1/2

Then you multiply 2 on both sides, this simplifies the left side to be 3m and the right side 5.

Lastly, you divide by 3 to isolate the variable m.

And you get 5/3, which also equals 1 2/3

List the element of D= the set of prime numbers from 1 to 16​

Answers

Answer:

ım not speak english because i'm turkish sorry

Indicate all the possible values for the variable in each of the
expressions:
13–2x + V1-x

Answers

Answer: -3

Step-by-step explanation:

13−2x+V1−x

Combine −2x and −x to get −3x.

13−3x+V

1

The 1 is supposed to be under the V

In the figure below, triangle ABC is similar to triangle PQR:

A right triangle ABC with right angle at B and base BC is drawn. Length of AB is 4, length of BC is 2. A similar right triangle; triangle PQR, which is triangle ABC enlarged and reflected across a horizontal line, is drawn near it. The right angle is at Q. Angle A is congruent to angle P and angle C is congruent to angle R. The length of QR is 12.

What is the length of side PQ?

48
24
40
18

Answers

Answer:

24

Step-by-step explanation:

Since the triangles are similar the side lengths must be proportional

2/12 = 4/PQ cross multiply expressions

2PQ = 48 divide both sides by 2

PQ = 24

1. What is the solution to 6m – 10 = 22 – 2m ?​

Answers

Answer:

The value of m in the given equation is 4.

Step-by-step explanation:

6m - 10 = 22 - 2m

Add 2m on both sides of the equation.

8m - 10 = 22

Add 10 to both sides of the equation.

8m = 32

Divide by 8 on both sides of the equation.

m = 4

The value of m is 4.

m = 4 lol


idk i saw someone else say that lols


A taxi cab company charges a flat rate of $2.00 per trip plus $0.25 per mile of the trip. If m is the number of miles traveled on a particular trip, interpret the following expressions: a) 0.25m b) 2.00 + 0.25m

Answers

Answer:

b) 2.00 + 0.25m

Step-by-step explanation:

2.00per trip and $0.25 per mile = 2.00 + 0.25m

Answer:

see below

Step-by-step explanation:

a) 0.25m

This is the cost of the mileage alone

The cost is 25 cents per mile times m miles

b) 2.00 + 0.25m

This is the total cost of the trip

There is a 2 dollar flat rate fee plus the cost of the miles

2 dollars plus m miles at 25 cents per mile

write 9/10 as a percentage

Answers

Answer:

90%

Step-by-step explanation:

Percent means out of 100

9/10 *10/10

90/100

90%

What number could be added to 0.40 mL for the level pf precision to be 0.01mL?

Answers

Answer:

-0.39mL

Step-by-step explanation:

Let x be the number.

The expression would be: 0.40 + x = 0.01

Apply algebra to the equation to solve for x. You can subtract 0.40 from each side to simplify the expression. Here's what it should look like after applying algebra: x = -0.39

Therefore the answer is -0.39mL

I am an odd two-digit number. The sum of my two digits is 10 and the difference of my two digits is 0. What number am I?

Answers

The answer is 55 I know this because 5 + 5 is 10 and 5 - 5 is 0. Therefor the answer is 55. HOPE THIS HELPS!

Hassan built a fence around a square yard. It took 48\text{ m}^248 m 2 48, start text, space, m, end text, squared of lumber to build the fence. The fence is 1.51.51, point, 5 meters tall. What is the area of the yard inside the fence? \text{m}^2m 2

Answers

Answer:

64

Step-by-step explanation:

khan acadamy

Answer:

64

Step-by-step explanation:

Write as an equation: Sara spent $2 more than Lauren, and together they spent $19.

Answers

Answer:

Equations:

a + b = 19

a = b + 2

a = Money that spent Laura

b = Money that spent Laureen

then:

(b+2) + b = 19

2b + 2 = 19

2b = 19-2

2b = 17

b = 17/2

b = 8.5

a = b + 2

a = 8.5 + 2

a = 10.5

Check:

10.5 + 8.5 = 19

what is the system is equations 5x+4y=8 2x-3y=17

Answers

Answer:

  (4, -3)

Step-by-step explanation:

The system of equations can be described a number of ways. One possible description is "a consistent pair of linear equations in two variables."

Perhaps you want to know the solution to this system of equations. I find it easiest to graph them. The attached graph shows the solution to be ...

  (x, y) = (4, -3)

__

You can also use "elimination" to simplify the system to a single equation in a single variable. Adding 4 times the second equation to 3 times the first will do that.

  3(5x +4y) +4(2x -3y) = 3(8) +4(17)

  23x = 92 . . . . . simplify

  x = 4 . . . . . . . .  divide by 23

Substituting this value into the first equation, we have ...

  5(4) +4y = 8

  5 +y = 2 . . . . . . divide by 4

  y = -3 . . . . . . . . subtract 5

The solution is (x, y) = (4, -3).

Find the magnitude of the vector. Write your answer in simplified form.
hor
8
6
4
NO
Х
-10
-8
-6
-4
-2
0
2
4
6
8
10
-2
-4
-6
-8
-10
look

Answers

[tex] \sqrt{117} [/tex]

the x-intercept of the function f(x)=x^2-81

Answers

Answer:

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jskebeuejbeiwnwvgwvshcc

Answer:

x=9

x=-9

Step-by-step explanation:

The x intercept or roots are x values that makes the f(x) equal 0. So in order words, to find the x intercept. Set the equation equal 0.

[tex] {x}^{2} - 81 = 0[/tex]

We can approach this problem 2 ways

Way 1: Differnece of Squares

Recall that

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

Since x^2 and 81 are both perfect squares and 81 is negative, we can say that

[tex](x + 9)(x - 9) = 0[/tex]

Set each equation to zero

[tex]x = 9[/tex]

[tex]x = - 9[/tex]

Way 2: Take square root of both sides

[tex] {x}^{2} - 81 = 0[/tex]

[tex] {x}^{2} = 81[/tex]

Next step, take square root of both sides. Square root produce negative and positive solutions so

[tex]x = 9[/tex]

or

[tex]x = - 9[/tex]

If Tan A=5/12 then find cot A, cos A and Sin A

Answers

Cot A=1/tan A=12/5

cos A= 12/13

sin A=5/13

Draw a right angled triangle

the hypotenuse is the longest side which is 13 using Pythagoras theorem

the side opposite the angle A is 5

the side closest to the angle A which is called the adjacent is 12

sinA =opp/hyp

cos A= adj/hyp

cotA =1/tanA=cos A/sinA

Note: Pythagoras theorem is

hyp²=opp²+adj²

Answer:

Step-by-step explanation:

[tex]tan \ A = \frac{5}{12}=\frac{opposite \ site}{adjacent \ side}[/tex]

hypotenuse² = (opposite side)² + (adjacent side)²

                      =  5² + 12²

                      = 25 + 144

                      = 169

hypotenuse = √169 = √13*13 = 13

[tex]Cot \ A = \frac{adjacent \ side}{opposite \ side}=\frac{12}{5}\\\\Cos \ A = \frac{adjacent \ side}{hypotenuse}=\frac{12}{13}\\\\Sin \ A = \frac{opposite \ side}{hypotenuse}=\frac{5}{13}[/tex]

Find the arc length of the partial circle.

Answers

Answer:

arc length = 4π units

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

     = 2πr × [tex]\frac{90}{360}[/tex]

     = 2π × 8 × [tex]\frac{1}{4}[/tex]

     = 2π × 2

    = 4π units ← exact answer

Mark Brainliest please

Answer : Arc length (L) = 12.56637

What is the value of this expression when g = -3.5?
8 − |2g − 5|

A. 20
B. 10
C. 6
D. -4

Answers

g = -3,5

8 - |2g - 5| = 8 - |2 · (-3,5) - 5| =

= 8 - |-7 - 5| = 8 - |-12| = 8 - 12 = -4

if f(x) =7x+5/3-x, then show that fof power -1(x) is an identity function​

Answers

Answer:

please see the steps in the picture

I order 700 notebooks by accident. I only need 3⁄7 of my order. How many notebooks do I return?

Answers

You return 400 books back

I have to return 400 notebooks.

Here, we have,

given that,

I order 700 notebooks by accident. I only need 3⁄7 of my order.

To determine how many notebooks you need to return, you can calculate 4/7 of your order, which represents the portion you don't need.

Let's calculate it step by step:

Calculate the number of notebooks you don't need:

4/7 * 700 = 400

we have,

I only need 3⁄7 of my order.

so, i need = 3/7 * 700

                = 300

Subtract the number of notebooks you need from the total order to find the number of notebooks you should return:

700 - 300 = 400

Therefore, you should return 400 notebooks.

To learn more on subtraction click:

brainly.com/question/2346316

#SPJ2

The city soccer club has thirteen new members and fifty-two returning members. If they break up into teams of eleven players, how many complete teams would there be?

Answers

Answer:

5

Step-by-step explanation:

The easiest way to do this is to add the new members to the old and then divide by 11. Ignore the remainder.

13 + 52 = 65

65 / 11 = 5 with 10 left over. Ignore the 10. That's not a complete team.

The answer is 5

What is the value of m that makes the equation true? 18m- 2+ 7m- 8= -60

Answers

Answer:

m = -2

Step-by-step explanation:

First, let's move all variables to one side of the equation. (Don't forget to change the signs when you move the numbers to the other side.)

18m + 7m = -60 + 2 + 8

Now we simplify to get this:

25m = -50

Now we divide -50 by 25 which gets us -2.

Therefore, m = -2

Hope this helps!

The fuel efficiency of one type of car is recorded in a scatterplot where the amount of gas used, x (in gallons), is paired with the distance traveled, y (in miles), for various trips. The equation for the line of best fit for the data is y = 28x. How can the y-intercept and slope of this line be interpreted

Answers

Answer:

The answer can be interpreted by the distance moved by each gallon :))

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Just took it. Edg 2020. Hope this helps :)

SUPER URGENT HELP NEEDED! BRAINLIEST AVAILABLE!

HELP IN NEED THESE ANSWERED ASAP! WILL GIVE BRAINLIEST TO THE PERSON WHO CAN ANSWER THESE QUICKEST AND I NEED ANSWERS TO ALL 4, BUT DON'T NEED ANY WORKING OUT, BUT IF YOU WANT TO YOU CAN! ALSO IF YOU ONLY KNOW THE ANSWER TO 1 OR 2 OF THEM, JUST SEND THAT, AND I WILL STILL GIVE YOU BRAINLIEST!

Answers

Answer:

1B)[tex] 11[/tex]

1C)$ 5104$

1D) $A=3 B=-51$

1E) [tex] \frac{1}{8}[/tex]

Step-by-step explanation:

The above answer!

3) Suppose Sandra makes credit card purchase for $4,000 that compounds interest daily. The APR is 3%. How much interest is earned on Sandra’s card after 1 year if Sandra makes no payments? (Use the formula below for help).

A=P(1+r/n)nt

Answers

Answer:

$121.81

Step-by-step explanation:

A=  4000(1+.03/365)^365

[tex]4000\left(1+\frac{0.03}{365}\right)^{365}=4121.81305\dots[/tex]

Total interest earned on Sandra’s card after 1 year is $4,121.81

What is compound interest?

Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.

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

Where:

A = the future value of the investment or loan

P = the principal investment or loan amount

r = the interest rate (decimal)

n = the number of compound periods

Given,

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

Sandra makes a credit card purchase for $4,000 that compounds interest daily.

P = $4,000

r =3%

t = 1 year

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

Substitute the values of P, r and t in the formula,

First, convert R as a percent to r as a decimal

r = R/100

r = 3/100

r = 0.03 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 4,000.00(1 + 0.03/365)(365)(1)

A = 4,000.00(1 + 8.2191780821918E-5)(365)

A = $4,121.81

Therefore, total interest earned on Sandra’s card after 1 year is $4,121.81.

To learn more about the compound interest rate;

https://brainly.com/question/13307568

#SPJ5

The question is in the picture

Answers

Answer:

[tex]10^{19}[/tex]

[tex]10^{-6} * 10^{25} = 10^{19}[/tex]

Step-by-step explanation:

10^46/ 10^-4 = [tex]10^{50}[/tex]

[tex]\sqrt{10^{50} } = 10^{25}[/tex]

Look at this graph:
10
9
8
7
6
5
4
3
2
X
0
1
2
3
4
5
6
8
9
10
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Submit
e to search
o
La

Answers

Answer:

3/5

Step-by-step explanation:

The rise is 3 while the run is 5, so the slope = rise over run = 3/5.

Answer:

5/6

Step-by-step explanation:

slope = change in y over change in x 

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