Which equation shows that the Pythagorean identity is true for ø = 270º?
Select the equation that is in the form sin^2ø+cos^2ø=1

Which Equation Shows That The Pythagorean Identity Is True For = 270?Select The Equation That Is In The

Answers

Answer 1

Answer: (a)

Step-by-step explanation:

Given

angle is [tex]270^{\circ}[/tex]

Sine and cosine at this angle is

[tex]\Rightarrow \sin 270^{\circ}=-1\\\Rightarrow \cos 270^{\circ}=0[/tex]

Put the values in the identity [tex]\sin ^2\phi +\cos^2 \phi=1[/tex]

[tex]\Rightarrow (-1)^2+(0)^2=1[/tex]

The same thing is depicted by option (a)

Answer 2

The equation sin²ø + cos²ø = 1 is written as (-1)² + 0² = 1. Then the correct option is A.

What is a Pythagoras theorem?

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The equation is given below.

sin²ø + cos²ø = 1

We know that the ø = 270°. Then we have

sin 270° = -1

cos 270° = 0

Then the equation will be

(-1)² + 0² = 1

Then the correct option is A.

More about the Pythagoras theorem link is given below.

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Related Questions

PLEASE TELL ME PLEASE

Answers

Answer: D!! also 35% are spotted

Answer:

The answer is a.

Step-by-step explanation:

This is because the percent is out of 100 and the flock of spotted sheep is placed in the numerator.

the ratio of the corresponding sides of two similar triangles is 2:5 the sides of the smaller triangle is 6mm 8mm and 12mm what is the perimeter of the larger triangle?

Answers

Answer:

65

Step-by-step explanation:

using the ratio we can find the side lengths of the other triangle.

since it is 2:5

6:x=2:5

so x = 15(first side)

8:x=2:5

so x = 20(second side)

12:x=2:5

x=30(third side)

so then we add them up

15+20+30

65

hope this was helpful

Would greatly appreciate the help with both A and B

Answers

the answers are a, c, and f

whats the opposite of l3l

Answers

Answer:

-131

Step-by-step explanation:

You should add the minus sign before the number 131

A laser pointer in the shape of a cylinder is 13 centimeters long with a radius of 0.75 centimeters.
What is the volume of the laser pointer?
Express your answer in terms of π and round to the nearest cubic centimeter. PLS HELP NOOO LINKS pls <3

Answers

Answer:

V = 23 cm 3

Step-by-step explanation:

9. What is 30% of 60?*
8
18
28
38

Answers

Answer:

It's 18

Step-by-step explanation:

30/100 x 60/1

180/100 =18

Answer:

18

Step-by-step explanation:

Here. We are going to multiply both sides of the equation by this fraction 100 over 30 100 over 30.

Jon throws a ball into the air off a platform. The height of the ball is given by y equal minus 2 x to the power of 2 plus 11 x plus 21 where y is the height, in feet, above the ground when the ball has traveled a horizontal distance of x feet. What is the factored form of the expression that could be used to find out how far the ball has traveled horizontally when it hits the ground?

A. (x+7)(-2X+3)
B. (x-7)(-2x-3)
C.(2x+7)(x+3)
D. (2x-7)(-x-3)

Answers

Answer:

B          (-2x - 3 )(x - 7) =  (x - 7)(-2x - 3 )

Step-by-step explanation:

y = -2x² + 11x + 21

find x when y is zero  (the ground)

(-2x - 3 )(x - 7) = 0

(-2x - 3 )  = 0,   (x - 7) = 0

  x = -1.5   and   x = 7   since Jon did not throw the ball behind him (remember he is standing on a platform)  the only possible answer is 7 feet in front of him, but they the question didn't ask for x, so I would answer B.  The answer I got and multiplicans are in reverse order from their choice.

The  factored form of the expression that could be used to find out how far the ball has traveled horizontally when it hits the ground is (x-7)(-2x-3)

What is quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² +bx+c=0. with a ≠ 0 .

Given that Jon throws a ball into the air off a platform.

The height of the ball is given by y equal minus 2 x to the power of 2 plus 11 x plus 21

y= -2x² + 11x + 21.

Let us factor out the equation by quadratic equation

-2x² + 11x + 21

When we factor out the equation becomes as (x-7)(-2x-3)

Let us verify the solution by applying distribution property

-2x²-3x+14x+21

-2x²+11x+21

Hence, (x-7)(-2x-3) is the  factored form of the expression that could be used to find out how far the ball has traveled horizontally when it hits the ground.

To learn more on Quadratic equation click:

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The rate at which a quantity M of a certain radioactive substance decays is proportional to the amount of the substance present at a given time. Which of the following is a differential equation that could describe this relationship?
1. dM/dt = -3.72 t^2
2. dM/dt = -0.11M
3. dM/dt = 0.08 t^2
4. dM/dt = 1.2M

Answers

Answer:

2. dM/dt = -0.11M

Step-by-step explanation:

Differential equations for proportional amouts:

A differential equation for proportional amounts is given by:

[tex]\frac{dx}{dt} = ax[/tex]

In which a is the constant rate. If the amount increases, a is positive. If it decays, b is positive.

In this question:

Decays, so a < 0.

Proportional to the amount of the substance present at a given time, which means that a multiplies the amount M.

This means that the correct answer is given by option 2.

Help me find the value of x plss

Answers

Answer:

Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Answer:

What do we see in triangle -- adj and hyp

cosine since it is SOH CAH TOA

cos(14)/1 =x/480

Answer = 465.74 the real rounding is 466

IF A FUNCTION f(x) is defined AS 5x^2-3x+3, what is the expression for

Answers

Answer: C. 10x-3

Step-by-step explanation: I got this question correct on Edmentum.

The value of the expression will be 10x – 3. Then the correct option is C.

What is the limit?

The value that approaches the output for the given input value. Limits are a very important tool in calculus.

The function is defined as,

f(x) = 5x² – 3x + 2

Then the value of the expression will be

[tex]\rightarrow \displaystyle \lim_{h \to 0} \dfrac{f(x+h)-f(x)}{h}[/tex]

Substitute the value of the function, then the value of the expression will be

[tex]\rightarrow \displaystyle \lim_{h \to 0} \dfrac{5(x+h)^2 - 3(x + h) + 3- 5x^2 + 3x - 3}{h}\\\\\\\rightarrow \displaystyle \lim_{h \to 0} \dfrac{5x^2 + 5h^2 + 10xh - 3x - 3h + 3- 5x^2 + 3x - 3}{h}\\\\\\\rightarrow \displaystyle \lim_{h \to 0} \dfrac{ 5h^2 + 10xh - 3h }{h}\\[/tex]

Simplify the equation further, then we have

[tex]\rightarrow \displaystyle \lim_{h \to 0} 5h + 10x - 3 \\[/tex]

Substitute the value of the h = 0, then the value of the expression will be

⇒ 5(0) + 10x – 3

⇒ 10x – 3

Then the correct option is C.

More about the limit link is given below.

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one sixth of a number?​

Answers

One-sixth of a number is four

my sister is 12 years older than i am. the sum of our ages is 38. find our ages.

Answers

Answer:

you are 13 and she is 25

Step-by-step explanation:

Math

Four adults and five children go to see a movie and buy $15 worth of concessions. The total cost of their trip is $71. If each child's ticket is $5, how much are the adult tickets

Answers

Answer:

$7.75

Step-by-step explanation:

Given: Adults = 4, Children = 5, All worth = $15, Total cost = $71, Each child's ticket = $5

To find: How much the adult tickets are

Solution: Use the 5 tickets at $5 to get $25

Add the $15 for concessions to reach $40

                            25 + 15 = 40

Subtract $40 from the 71 spent to get $31

                            71 - 40 =  31      

Now, divide the 31 by 4 for the number of adults which equals $7.75

                             31 ÷ 4 = 7.75

So, the cost of the adults' tickets is $7.75

An inclined walkway leading to a new building is to rise 11 inches for each horizontal distance of 22 feet. Write this slope as a grade. (Round to the nearest tenth of a percent if necessary.)​

Answers

Answer:

4.2%

Step-by-step explanation:

The horizontal distance, x (Run) = 22 feets

Rise, vertical distance, y = 11 inches

The slope is the ratio of the vertical to the horizontal distance, Rise to Run

Slope = Rise / Run

Converting to the same unit ;

Foot to inches

1 foot = 12 inches

Hence, x = 22 feets = (12 * 22) = 264 inches

Slope = Rise / Run = 11 / 264 = 0.04167

Slope = 0.04167 * 100% = 4.167%

If f(x) = x - 1 and g(x) = x3, what is (gºf)(8)?

Answers

Answer:

343

Step-by-step explanation:

f(x) = x - 1 and g(x) = x^3

g(f(8))

First find f(8) = f(8-1) = 7

Then find g(7) = 7^3 = 343

g(f(8) = 343

Answer:

I will assume that you meant to type (g o f)(8).

First we find f(8).

f(8) = 8 - 1 or 7.

We now find g(f(8)), which means g(7).

g(7) = 7^3 or 343

(g o f)(8) = 343:

1. Force is a push or a
upon an object
A heat
C. pull
B. motion
D. transfer
2 Which is needed to make an object move?
A density
C. porous
B. force
D. non-porous

Answers

Answer:

1. C

2.B

Step-by-step explanation:

Force is a push or a pull.. can be a twist too

to make an object move you have to apply force by pushing of pulling the object.

No me voy al hospital a la oficina porque yo no tengo ni caso de la casa ni siquiera te quiero mucho

A ribbon is 24 inches long. You need to cut it into pieces so that all the pieces are the same length. a. Can you cut the ribbon into 5-inch pieces?​

Answers

Answer:

no

Step-by-step explanation:

no, because 24 is not divisible by five. If you divide 24/5, you will be left with 4+4/5, and you can't have 4/5 of a piece and have them all be the same length

no 24 is not divisible by 5

The first step in the process for factoring the trinomial x2-3x - 40

Answers

We need two numbers that when multiplied will give you -40 and when added will give you -3:
(x+5) (x-8) this is your answer. And you want to know the process Here it goes. And attached is a chart I made you so you can visually see what this process is telling you:
1) identify a,b, and c in the trinomial ax^2 + bx+c (in your case it's 1x^2-3x-40= x^2-3x-40)
2) write down all factor pairs of c (numbers that multiplied produce -40)
3) identify which factor pair from the previous step sums up to b
4) Substitute factor pairs into two binomials

Answer:

List all the factors of 40

Step-by-step explanation:

(2, -16)

plug in the correct variables in the equation below

y = mx + b​

Answers

The Answer Is Y=-8x

This is because x is multiplied by -8 to find y.

Question: Edwin usually makes 20 cookies with this recipe, but only wants 5 cookies.


How much is 1/2 teaspoon of vanilla to make 5 cookies?

(PLEASE HELP!!)

Answers

Answer:

1/8 teaspoon of vanilla is needed to make 5 cookies

Step-by-step explanation:

1) 1/2 teaspoon of vanilla makes 20 cookies

2) you only need 5 cookies which is 1/4 as many cookies as before

3) you must 1/4 your recipe

4) 1/2 divided by 4 = 1/8

A 12 foot ladder leans against a building and reaches a window 10 feet above ground. What is the measure of the angle, to the nearest degree, that the ladder forms with the ground ?

Answers

Answer:

56

Step-by-step explanation:

Sinx = 10/12

x = 56

Find the value of x. 7+8x+45+80​

Answers

Answer:

=8x+132

Step-by-step explanation:

Combine Like Terms:

=7+8x+45+80

=(8x)+(7+45+80)

=8x+132

Give me brainllest plz T-T

Year 1= $550
Year 2 = $950
Year 3 = $1120
Year 4= $1190
Initial investment is $980
My discount rate = 9.4%. What is my discounted period?
I need the discounted period

Answers

Answer:

sorry I need points

Step-by-step explanation:

so so so sorry :(

A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 754 hours. A random sample of 29 light bulbs has a mean life of 737 hours. Assume the population is normally distributed and the population standard deviation is 59 hours. At α=0.08​, do you have enough evidence to reject the​ manufacturer's claim? Complete parts​ (a) through​ (e)

Answers

Answer:

The calculated test  |Z| = |-1.55| >1.405 at 0.08 level of significance

The null hypothesis is rejected at a 0.08 level of significance.

An Alternative hypothesis is accepted

A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at most 754 hour

Step-by-step explanation:

Step(i):-

Given that the mean life of a certain type of light bulb is at least 754 hours

Given that the random sample size 'n' =29

Given that the mean life of sample x⁻ = 737

Given that the standard deviation of the Population = 59

Step(ii):-

Null hypothesis: H₀: μ≥ 754

Alternative Hypothesis:H₁: μ≤ 754

Test statistic

           [tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

           [tex]Z = \frac{737-754 }{\frac{59}{\sqrt{29} } }[/tex]

           Z =  -1.55

The calculated test  |Z| = |-1.55| >1.405 at 0.08 level of significance

The null hypothesis is rejected  at 0.08 level of significance

Final answer:-

The calculated test  |Z| = |-1.55| >1.405 at 0.08 level of significance

The null hypothesis is rejected at a 0.08 level of significance.

A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at most 754 hour

Helpppppp pleaseeeeeeee

Answers

Answer:

16 2/3

Step-by-step explanation:

K Write an expression for the sequence of operations described below. add y to z, then multiply 3 by the result​

Answers

Answer:

3(y+z)

Step-by-step explanation:

y+z is added first so it is in parentheses and then multiply by the 3

If the given figure is rotated 180° around the origin, what are the new coordinates of point Z?


please I really need help with this.

Answers

Answer:

New coordinates of the point Z are (-6, 9)

Step-by-step explanation:

If a point (x, y) is rotated 180° about the origin, coordinates of the image point is given by the rule,

(x, y) → (-x, -y)

Coordinates of the vertex Z → (6, -9)

Following the same rule,

Z(6, -9) → Z'(-6, 9)

Therefore, coordinates of the new (image) point will be (-6, 9).

Suppose {an) is an arithmetic sequence with a16=12 and a7=30. Find a9.

Answers

Answer:

a9 = 26

Step-by-step explanation:

nth term of an arithmetic sequence an = a + (n-1)d

a16 = a+15d = 12.... 1

a7 = a+6d = 30.....2

Subtract

15d - 6d = 12 - 30

9d = -18

d =-18/9

d = -2

Substitute d = -2 into 1

a + 15d = 12

a+15(-2) = 12

a - 30 = 12

a = 12 + 30

a = 42

Get a9;

a9 = a+8d

a9 = 42+8(-2)

a9 = 42 - 16

a9 = 26

hence the 9th term of the sequence is 26

PLZ HELP I NEED AWNSERS ASAP
a statistical question anticipates that answers will vary. which of these are examples of statistical questions?
A) how many computers are in the school's lab?
B) how many letters are in the wrong direction?
C) what are the favorite books of each member of the book club?
D) how many people volunteered to help at the community's Christmas
E) how many video games were purchased last year by each student in Mr.hills math class

Answers

E.

It gives a very precise question which will give much data.

A car is driving at 40 kilometers per hour. How far, in meters, does it travel in 2 seconds?

Answers

Answer:

i think its 22.22 thats my guess

Answer:

[tex]\frac{1}{45}[/tex] kilometers

Step-by-step explanation:

60 minutes = 3600 seconds

[tex]\frac{40}{3600} =\frac{y}{2}[/tex]

3600y = 80

3600y ÷ 3600 = 80 ÷ 3600

[tex]y=\frac{1}{45}[/tex]

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