Why can you say sin^2 x + cos^2 x =1 ?

Answers

Answer 1

Answer:

Just as the distance between the origin and any point (x,y) on a circle must be the circle's radius, the sum of the squared values for sinθ and cosθ must be 1 for any angle θ .

Step-by-step explanation:

hope this helps:)


Related Questions

The graph of f(x) = x2 − 6x − 16 is shown. Which of the following describes all solutions for f(x)? a parabola passing through negative 2 comma zero, 0 comma negative 16, and 8 comma zero (−2, 0), (0, −16), (3, −25), (8, 0) (x, x2 − 6x − 16) for all real numbers (−2, 0), (8, 0) (x, y) for all real numbers

Answers

Let's find out zeros

x²-6x-16=0x²-8x+2x-16=0(x-8)(x+2)=0x=8 or -2

x intercepts

(8,0) U (-2,0)

QUESTION 25 The area of the triangle shown is 54cm. The ratio of side to side is 3:4 What is the length of side in centimetres? A 6 B.9 C, 12 D. 15​

Answers

Answer:

15

Step-by-step explanation:

Diagram would be helpful.... I am assuming this is a right triangle with legs ratio 3:4

Which question cannot be answered by the solution to the equation 3x=27 ?

Elena read three times as many pages as Noah. She read 27 pages. How many pages did Noah read?
Elena read three times as many pages as Noah. She read 27 pages. How many pages did Noah read?

Lin has 27 stickers. She gives 3 stickers to each of her friends. With how many friends did Lin share her stickers?
Lin has 27 stickers. She gives 3 stickers to each of her friends. With how many friends did Lin share her stickers?

Diego paid $27 to have 3 pizzas delivered and $35 to have 4 pizzas delivered. What is the price of one pizza?
Diego paid $27 to have 3 pizzas delivered and $35 to have 4 pizzas delivered. What is the price of one pizza?

The coach splits a team of 27 students into 3 groups to practice skills. How many students are in each group?
The coach splits a team of 27 students into 3 groups to practice skills. How many students are in each group?

Answers

Answer:

C

Step-by-step explanation:

"Diego paid $27 to have 3 pizzas delivered and $35 to have 4 pizzas delivered. What is the price of one pizza? "

Hope this helps :)

Shelley is making strawberry popsicles to have by the pool on a hot summer day. She
combines the ingredients in a blender shaped like a square prism with a 4-inch by 4-inch
square base. When she is done blending, the strawberry popsicle mixture fills the blender to
a height of 5.8 inches. The popsicle molds she will fill are cylindrical with a radius of 0.6
inches and a height of 4.5 inches.
What is the maximum number of popsicle molds Shelley can fill completely with the popsicle
mixture?
in

Answers

Answer:

18

Step-by-step explanation:

Explanation is in photo

& triangle is inscribed
in a rectangle, as shown below. What is the area of the shaded
region?
5 cm
3 cm
5 cm
11 cm
A. 40 cm2
C. 47.5 cm2
B. 62.5 cm2
D. 22.75 cm2

Answers

Answer: I am not really sure but I think its c

Step-by-step explanation:

we can simply get the area of the whole rectangle, that is, the rectangle including the triangle in it, and then get the area of the triangle and subtract it from that of the rectangle, what's leftover, is the part we did not subtract, namely the shaded region.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{rectangle}{(5)(11)}~~ - ~~\stackrel{triangle}{\cfrac{1}{2}(\stackrel{b}{5})(\stackrel{h}{3})}}\implies 55~~ - ~~\cfrac{15}{2}\implies \cfrac{95}{2}\implies 47.5[/tex]

GIVING BRAINLEST TO THE PERSON THAT CAN EXPLAIN HOW TO DO THIS THE BEST :)

Answers

Take the info given
perimeter formula… P = 2L + 2W
so…
30 = 2L + 2W
and L is twice the width
so…
L = 2W

substitute L for 2W and solve for W
2W + 2(2W) = 30
2W +4W = 30
6W = 30
W = 5
If L is twice as long as W (L = 2W) then
L = 10

the area formula.. A = L * W
so
A = 10 * 5

The area of the rectangle is 50cm^2
or 50 square centimeters



of the marbles in a bag 5 are red, 5 are green, and 3 are yellow. sandra will randomly choose one marble from the bag. the probability that sandra will choose a green marble from the bag? ​

Answers

Answer:

5/13

Step-by-step explanation:

Total amount of marbles: 5 + 5 + 3 = 13

5 out of 13 are green.

You can also turn this into a percentage but that number is not very clear and this answer should be fine if it doesn't state which form the answer has to be in.

answer this and win 20 points

Answers

Answer:0.18%

Step-by-step explanation: It is simply but how you know that it is a percentage and you then have to add it as a decimal.


Which of the following is a solution of

Answers

[tex]\frac{7+\sqrt{13}}{6}[/tex]  is the answer

Step-by-step explanation:

what does the size or dimension of the matrix tells?​

Answers

Answer:

The dimensions of a matrix are the number of rows by the number of columns.

In each rule, copy the chart and fill in the missing parts. (Please answer the last 4.)

Answers

Answer:

Step-by-step explanation: For x it's 2x+2, for y it's y/2-1, for 2x it's 4x+2, and for x+3 it's 2x+8

1. 2x+2

2. y/2-1

3. 4x+2

4. 2x+8

Hope this helps :)

Abbi is a years old. Abbi is 5 years older than cathy. Bobby is twice as old as Abbi. The total of their ages is less than 35. Solve the inequality

Answers

Answer:

Step-by-step explanation:

A+C+B>35

A = 7

B = 14

C = 2

A+B+C<35=

23<35

Hal has 4/8 yard of string. How many 1/12 yard pieces of string can he cut from 3/4 yard?​

Answers

Answer:

9

Step-by-step explanation:

3/4=0.75

1/12=0.0833333333

(3/4)/(1/12)=9

Mason earns $17.65 per hour. He worked 40 hours last week. What was his straight time pay?

Answers

Answer:

$706

Step-by-step explanation:

$17.65 per hour

40 hours worked

17.65 · 40 = $706

Hope this helps and God bless!

-16x^2+150x=425 solve for x​

Answers

Answer:

[tex]x_{1}=\frac{75}{16}-\frac{5\sqrt{47} }{16}i , x_{2}=\frac{75}{16}+\frac{5\sqrt{47} }{16}i[/tex]

Step-by-step explanation:

if someone found three rocks and the first rock was 19.28 grams and the second rock was 25.3 grams the third rock had the mass of 46.3 grams how much greater was the mass of the third rock than combined mass of the other two rocks

Answers

Answer: 1.72 grams

19.28 + 25.3 = 44.58
46.3 - 44.58 = 1.72

How many different possible outcomes are there if you roll three six-sided dice in the shape of a cube?

Answers

Answer:

There are 36 outcomes. Of these, there are 2 that have both 1 and 3.

Question 6 of 25
A bag contains 6 blue marbles, 5 yellow marbles, 3 white marbles, and 1 red
marble. What is the probability of not selecting a yellow marble?
O A.4/5
о B.3/5
c.2/3
OD. 1/3

Answers

Answer:

2/3

Step-by-step explanation:

Add all the number of marbles.Now you have 15 in total. 10 of them are not yellow. 10/15 simplified equals 2/3

Write a story problem with a diver and the values -20 and +15.

Answers

A diver is on a 5 foot ledge and dives down 20 feet and comes back up 15

Describe any patterns observed between buffer capacities and the concentration of acid or base in each buffer solution.

Answers

The higher the concentration of species in solution, the higher the buffer capacity.

What is a buffer?

A buffer is a substance that mitigates against changes in acidity and alkalinity. The buffer capacity has to do with the greatest amount of acid/base that the buffer can effectively neutralize without a significant change in the pH of the solution.

We must know that the higher the concentration of species in solution, the higher the buffer capacity of the solution for any given ratio of  [HA] to [A⁻] concentration.

Learn more about buffer: https://brainly.com/question/3435382?

what is lim x -> 7 ... (see image)

Answers

Answer:

I think 1/6

Step-by-step explanation:

because 2-3/1-7= -1/-6 so (-)and(-) is a (+)

so 1/6

A _________ number differs from an integer because it has an integer part and a fractional part, even if the fractional part is 0

Answers

Answer:

Rational number

Step-by-step explanation:

Rational numbers are integers with fractional number for example 2/9 is a rational number and so is 4/5 ,6/10, 2.5 ,6 ,9 etc.

How do I do this answer

Answers

Answer: there is nothing here

Step-by-step explanation:

solve the quadratic figures 3x^2 + x - 5

Answers

To solve this quadratic equation we should first see if it is possible to factorise it into two seperate brakets. In this case there are no numbers which multiply to give -5 and add to give 3. Thus we should resort to using the quadratic formula which is used when equations cannot be solved by inspection. The quadratic formula is x=(-b+-(b2-4ac)1/2)/2a. Values for a,b and c can be lifted from the question. ax2+b-c=0 so in this question a=3 b=1 and c=-5. Inputing these into the equation will give two results.

The answers are

x=1.135 or x=-1.468

both of these answers make the original equation true

Answer: it would be 15

Step-by-step explanation:

Wanwan is 1.69 m tall and is flying a kite. She holds the string of the kite just above her head. The string is 80 m long and makes, x°, between 54° and 55° with the horizontal. Assuming that the string is taut, estimate (2 decimal places) the vertical height of the kite from the ground​

Answers

Since, the kite is taut the vertical height of the kite from the ground is 66.82 meters

What is a right angle triangle?

A right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.

Therefore, the string length is the hypotenuse side. The angle formed is between 54 degree to 55 degrees. Therefore,

sin 54.5 = opposite / hypotenuse

sin 54.5 = h / 80

cross multiply

h = 80 × sin 54.5

h = 80 × 0.81411551835

h = 65.1292414685

Therefore, the vertical height of the ground from the ground is as follows:

vertical height = 65. 13 + 1.69 = 66.82 meters

learn more on right triangle here: https://brainly.com/question/22257626

what the 51st term of -17, -25, -33

Answers

Answer:

The 51st term of the arithmetic sequence is - 417


Step-by-step explanation:


The formula for determining the nth term of an arithmetic sequence is expressed as Tn = a + d(n - 1)

Where a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = - 17

d = - 25 - - 17 = - 33 - - 25 = - 8

n = 51


We want to determine the value of the 51st term, T51. Therefore,

T51 = - 17 + - 8(51 - 1)

T51 = - 17 - 400

T51 = - 417

Isabel created the table of x and y values shown here. O 2 14 6 19 Which equation represents the relationship between the x values and the y values in Isabel's table? A y = 4x + 4 C y= 2.5x + 4 B y= 2x + 4 Dy=4x+1

Answers

The equation that represents the relationship between the x values and the y values in Isabel's table is y = 5/4 x - 11.5

Linear functions

Linear functions are functions that have a leading degree of 1. The linear equation is expressed as:

y = mx + b

where:

m is the slope

b is the y-intercept

Using the coordinate points (2, 14) and (6, 19)

Determine the slope

Slope = 19-14/6-2
Slope = 5/4

For the y-intercept

14 = 5/4(2) + b
14 = 2.5 + b
b = 11.5


Determinethe required linear equations

y = 5/4 x + 11.5

Learn more on linear equation here https://brainly.com/question/1884491

Hey guys I need help with this no links and please explain your work

Answers

Answer:

x = 0.17

Step-by-step explanation:

Solve for x:

First, take the ln of both sides:

ln(1/16) = ln(8^(4x-2))

You can now bring down (4x-2) in front of the ln:

ln(1/16) = (4x-2)ln(8)

ln(1/16)/ln(8) = 4x-2

4x = ln(1/16)/ln(8) + 2

x = ln(1/16)/4ln(8) + 1/2

x = 0.17

Which expression is equivalent to (x^1/4y^16) ^1/2

Answers

Answer:

x^1/8 y^8

Step-by-step explanation:

=   x^(1/4 * 1/2) y^(16 * 1/2)   =

What is 1/4 plus 1/2 equal to in a fraction

Answers

Answer:

[tex] \frac{3}{4} [/tex]

Step-by-step explanation:

[tex] \frac{1}{4} + \frac{1}{2} \: \: lcm \: of \: 4 \: an d \: 2 \: is \: 4 \ \\ = \frac{1 + 2}{4} = \frac{3}{4} [/tex]

Other Questions
4. Read about the preventative measures being taken in Africa. Review the information and write a brief essay about how the international community is assisting with AIDS prevention and treatment in Africa.Will give more points if correct In ____ the two chromosomes are always identical sin^2tan+cos^2cot+2sincos=tan+cot What is the time schedule for a bill to become a law?A) A bill can only be in committee for one month, and then it must be voted on.B) There is no schedule; a bill can be delayed indefinitely in committee and to a certain extent on the floor.C) There is no schedule in committee; however, once introduced to either house, it must be voted on immediately.D) Both houses coordinate their schedule to vote on the bill the same day. How does an increase in a deer population that feeds on plants affect the animals and plants in a certain environment Which countries gained their independence in the years immediately following World War II? Select all that apply.IndonesiaJapanThe PhilippinesIndiaPakistanRussia Identify the example of formal writing.A.shopping listB.college essayC.text messageD.journal entry A monopolist's profit-maximizing level of output is inefficient because the marginal cost of the last unit produced is _____ than the marginal benefit to society of the last unit produced. If you have 2m of hydrochloric acid and also 2m of vinegar which one is weak and strong and why? 50 POINTS JUST PLS HELP MELondon borrowed $12,900 from a lender that charged simple interest at a rate of 2.56% for 7 years. What is the amount of interest London paid at the end of the loan Extinctions that occur at a moderate rate and continuously open a limited number of opportunities for the origin of new species and new niches are known as __________ extinctions I need this done quick. What is the lower quartile of the following data set53,49,43,59,63,76,40,71,47,66,57,30,48,58,35 Please help. What is the solution to 2x+8 12/5C. x > 12D. x < 12/5Please if you answer explain how to do it... I completely forgot. Which of the following methods do bacteria that cause tooth decay use to reproduce The diagram below is used to sort out numbers.Type each number in the correct location on the diagram. 7 8 9 10 If a fossil contains 60% of its original carbon, how old is the fossil At a sale this week, a suit is being sold for $592. This is a 36% discount from the original price.What is the original price? Villa deste gardens in tivoli, italy, is an example of what style?. Which word is an ANTONYM for the word incredible as it is used in the paragraph?Today was the most incredible day of my life. First I won a prize in a bread-baking contest, andthen I saw a kangaroo hopping down the street on a leash.tedioususelessunproductivetypicalDoneMy Progress