Let (-3, 7) be a point on the terminal side of 0.
Find the exact values of sin 0, sec 0, and tan 0.

Answers

Answer 1

Answer:

[tex]\sin O \approx 0.919[/tex], [tex]\sec O \approx -2.539[/tex] and [tex]\tan O = -\frac{7}{3}[/tex].

Step-by-step explanation:

Given a point (x, y) with respect to origin and in rectangular coordinates, the exact value of sine, secant and tangent functions are, respectively:

[tex]\sin O = \frac{y}{\sqrt{x^{2}+y^{2}}}[/tex]

[tex]\sec O = \frac{1}{\cos O} = \frac{\sqrt{x^{2}+y^{2}}}{x}[/tex]

[tex]\tan O = \frac{\sin O}{\cos O} = \frac{y}{x}[/tex]

Given that [tex]x = -3[/tex] and [tex]y = 7[/tex], the exact values of sine, secant and tangent are:

[tex]\sin O = \frac{7}{\sqrt{(-3)^{2}+7^{2}}}[/tex]

[tex]\sin O \approx 0.919[/tex]

[tex]\sec O = \frac{\sqrt{(-3)^{2}+7^{2}}}{-3}[/tex]

[tex]\sec O \approx -2.539[/tex]

[tex]\tan O = \frac{7}{-3}[/tex]

[tex]\tan O = -\frac{7}{3}[/tex]


Related Questions

3. Solve: 4x + 2 = 3x -9

Answers

Answer:

x=-11 is the answer

Step-by-step explanation:

4x + 2 = 3x -9

4x-3x+2=-9

1x=-9-2

x=-11

hope it will help ^_^

find the sum and difference of the greatest and the least six digit number formed by the digits 2,0,4,7,6,5 using each digit only once

Answers

Answer:

See below

Step-by-step explanation:

The greatest number formed by those numbers is: 765420

The least number formed by those number is: 204567

The sum is: 765420 +  204567 = 969987

The difference is: 765420 -  204567 = 560853

Answer: Hi!

First we need to form the biggest and smallest number out of these digits. To do this it's pretty simple - just order the numbers from greatest to least for the greatest number, and from least to greatest for the least number! (However, for the least number, we will have to put the zero in front of 2, the second least number, because we can't put 0 in front of 2 and still be actually using it in the number.)

Greatest: 765420

Least: 204567

Now we add the numbers together:

765420 +  204567 = 969987

Now we subtract the numbers:

765420 -  204567 = 560853

These are your answers!

Hope this helps!

Tony rounded each of the numbers 1,143 and 1,149 to the nearest hundred. Which choice correctly compares the rounded numbers?

Answers

I think both of them will round up to 1100

The rounding off should be 1100.

What is rounding off?

Rounding a number means the process of making a number simpler such that its value remains close to what it was. The result obtained after rounding off a number is less accurate, but easier to use. While rounding a number, we consider the place value of digits in a number.

Rounding Numbers to the Nearest Hundred

Rounding numbers to the nearest hundred means we need to check the digit to the right of the hundreds place, that is, the tens place. For example, when 7456 is rounded to the nearest hundred, it becomes 7500.

Given numbers are 1143 and 1149.

According to the given numbers both the numbers rounded off nearest hundred.

The number 143 and 149 lies between 100 to 200.

So, the round off will be 100.

Learn more about rounding off here:

https://brainly.com/question/13391706

#SPJ2

f(x) = -x - 3 Find f(-4) f(-4) = -(-4) -3

Answers

Answer:

[tex] \boxed{ \bold{ \boxed{ \sf{f( - 4) = 1}}}}[/tex]

Step-by-step explanation:

Given, f ( x ) = - x - 3

Let's find the value of f ( - 4 )

[tex] \sf{f( - 4) = - ( - 4) - 3}[/tex]

We know that , [tex]( - ) \times ( - ) = ( + )[/tex]

⇒[tex] \sf{ 4 - 3}[/tex]

Subtract 3 from 4

⇒[tex] \sf{1}[/tex]

Hope I helped!

Best regards!!

The student council at Mountain View High School plans to conduct a survey to determine the student body's opinion of the new lunch menu. Which of the following sampling methods would be most likely to result in nonresponse bias? O A. Handing out a questionnaire to seniors only 0 B. Obtaining an alphabetical list of all students and surveying every 10th student O C. Setting up a booth in the lunchroom where students can give their thoughts D. Handing out a questionnaire to students leaving campus at lunchtime

Answers

Answer:

C. Setting up a booth in the lunchroom where students can give their thoughts

Step-by-step explanation:

Sampling is the process by which some part of the entire population is selected and researched. This selected population helps in estimating the researches for the entire population. There are various methods used for the process of sampling.

For the given case, the sampling method to be adopted is to view each students' opinion on the issue. For this process, setting up a booth can prove helpful as the opinion of every student can be viewed with no biases. Also, every student is free to provide their opinion with any fear.

Simplify the following expression as much as possible. 4^10/4^10 x 7^0=?

Answers

Answer:

1

Step-by-step explanation:

4^10/4^10 x 7^0 =

= 4^(10 - 10) * 1

= 4^0 * 1

= 1 * 1

= 1

Step-by-step explanation:

divide 4 to the tenth with 4 to the tenth first

the multiply it with 7 to the zero.

( 0 as an exponent is one)

ANSWER: 1

what is x times negative 2

Answers

Answer:

-2x

Step-by-step explanation:

Which multimedia sources are best for a student writing a research paper on childhood obesity? Check all that apply.

a documentary produced by an association of pediatricians
a sound bite of doctors at a forum discussing the issue
a cartoon showing families eating dinner at a fast-food restaurant
a podcast in which children share their eating habits
a timeline made by the government showing obesity trends

Answers

Answer:

1, 2 , 5

Step-by-step explanation:

Correct on edge 2020

The multimedia sources that are best for a student writing a research paper on childhood obesity are:

A documentary produced by an association of pediatricians.

A sound bite of doctors at a forum discussing the issue.

A timeline made by the government showing obesity trends.

What is obesity?

Obesity is typically caused by overeating and inactivity. If you consume a lot of energy, especially fat and sugars, but don't burn it off through exercise and physical activity, your body will store a lot of it as fat.

Obesity is a complicated condition characterized by an excess of body fat. Obesity is more than simply an aesthetic issue.

Therefore, the correct options are 1, A documentary produced by an association of pediatricians. 2, A sound bite of doctors at a forum discussing the issue, and 5, A timeline made by the government showing obesity trends.

To learn more about obesity, refer to the link:

https://brainly.com/question/11366349

#SPJ2

PLEASE HELP, I DON'T UNDERSTAND THIS! :(
Divide.

Answers

Answer:

Step-by-step explanation:

Hello, please consider the following.

We need to factorise as much as possible and eliminate the same term from numerator and denominator

[tex]\dfrac{\dfrac{x^2-4x-5}{x-2}}{\dfrac{2x-10}{x^2-4}}\\\\\\=\dfrac{(x^2-4x-5)}{(x-2)}\dfrac{(x-2)(x+2)}{(2x-10)}\\\\\\=\dfrac{(x-5)(x+1)(x+2)}{(2x-10)}\\\\\\\large \boxed{=\dfrac{(x+1)(x+2)}{2}}[/tex]

Thank you

The sum of Micah’s age and Aria’s age is 29. Aria is 5 years older than twice Micah’s age. Let x represent Micah’s age. The equation that can be used to find Micah’s age is x + (x + 5) = 29. x + (2 x + 5) = 29. x + (2 x) = 29. x + (2 x minus 5) = 29

Answers

Answer:

B, x + (2x + 5) = 29

Step-by-step explanation:

x, being Micahs age.

the 2, as twice the age.

5, the additional amount older.

Answer:

Yup hes right

Step-by-step explanation:

Write an equivalent expression by distributing the "-−" sign outside the parentheses: 2h-(-2.3k-4) 2h−(−2.3k−4)

Answers

Answer:

[tex]2\cdot h +(2.3\cdot k + 4)[/tex]

Step-by-step explanation:

This expression is solved algebraically:

1) [tex]2\cdot h -(-2.3\cdot k - 4)[/tex] Given

2) [tex]2\cdot h +(-1)\cdot [(-1)\cdot (2.3)\cdot k + (-1)\cdot (4)][/tex] [tex](-1)\cdot a = -a[/tex]

3) [tex]2\cdot h + [(-1)\cdot (-1)]\cdot (2.3\cdot k+4)[/tex] Distributive property.

4) [tex]2\cdot h +(2.3\cdot k + 4)[/tex] [tex](-a)\cdot (-b) = a\cdot b[/tex]/Modulative property/Result

Phillip deposited $7,775 into a savings account 14 years ago. The account has an interest rate of 4.5% and the balance is currently $14,398.87. How often does the interest compound? (2 points)

daily

monthly

quarterly

annually

Answers

Answer:

annually

Step-by-step explanation:

Compound interest formula:

A = P(1 + r/n)^(nt)

amount of interest = balance - principal

Try daily:

A = 7775(1 + 0.045/365)^(365 * 14)

A = 14,597.88

This is too much money, so it was compounded less than daily.

Try monthly:

A = 7775(1 + 0.045/12)^(12 * 14)

A = 14,581.23

This is too much money, so it was compounded less than monthly.

Try quarterly:

A = 7775(1 + 0.045/4)^(4 * 14)

A = 14,547.16

This is too much money, so it was compounded less than quarterly.

Try annually:

A = 7775(1 + 0.045/1)^(1 * 14)

A = 14,398.87

This is the correct amount, so it was compounded annually.

Answer: annually

The function h(x) = 5x2 – x – 6 is the result of combining two functions using multiplication. Which functions could have been combined? f(x) = 5x – 6 and g(x) = x + 1 f(x) = 5x – 2 and g(x) = x + 3 f(x) = 5x3 + 14x2 – 9x – 18 and g(x) = x + 3 f(x) = 25x3 – 15x2 – 28x + 12 and g(x) = 5x – 2

Answers

Answer:

f(x) =5x -6 and g(x) = x + 1

Step-by-step explanation:

5x^2 - x - 6

finding the product of AC where A is 5 and C is -6 equals -30

factors of -30 whose sum eqjals -1 are +5 and -6

substitute into the expression

5x^2 + 5x -6x - 6

group the expression

(5x^2 + 5x) (-6x - 6)

take out the common factors in each bracket

5x(x + 1) -6 (x + 1)

(5x - 6) (x + 1)

Answer:a

Step-by-step explanation:

A line segment with one end at A (-3,2) has midpoint M (2,-3). Find the coordinate of the other end point B.
(A.) B (-1,-1)
(B.) B (5,-5)
(C.) B (1,-4)
(D.) B (7,-8)

Answers

Answer:

D

Step-by-step explanation:

since all x coordinates are distinct, lets just find the x coordinate (multiple choice question)

Midpoint formula:

given two points, (x1, y1) and (x2, y2)

the midpoint is ((x1+x2)/2, (y1+y2)/2)

-3+x2 = 2*2

x2 = 7

In which step was the addition property of equality applied? A. step 2 B. step 3 C. step 4 D. The addition property of equality was not applied to solve this equation.

Answers

Answer:

Step 2

Step-by-step explanation:

The addition property of equality was applied in step 2. The '- 9' value had to be 'undone', so '9' was added to each side of the equation, which would be an application of the addition property of equality, to yield step 3.

Hope this helps.

The correct option is A. Step 2.

Given the image in question as we saw in step 2, 9 has been added to both sides of the equation,right hand side and left hand side.

Hence in step 2 the addition property of equality applied.

So, the correct option is A. step 2.

For more details on equality follow the link:

https://brainly.com/question/1178055

When two straight lines cross, it is found that the angles opposite to each ate the same size. They are known as

Answers

Answer: Vertical angles

The angles don't need to be lined up vertically, or have one over top another. You could have them laid out horizontally. All that matters is that they are opposite angles after an X shape has been formed by two crossing lines. Vertical angles are always congruent.

Where is the blue dot on the number line?

Answers

Answer:

-5.8

Step-by-step explanation:

It’s about 5-8 all you have do to is count the lines and it gives u an answer

What are the most appropriate measures of center and spread of the data set?

Answers

Answer:

B... According to the statement..

Step-by-step explanation:

The mean and median determines the numerical measures of center. The mean is used when showing the center as an average while the median shows the middle value of a data. The range and IQR determines the numerical measures of spread.

Hope it helped u if yes mark me BRAINLIEST!

Tysm!

Answer:

answers below vote brainliest

Step-by-step explanation:

5. For a given function ƒ(x) = x^5, a translation in the positive y-direction of two units is represented by which of the following?
options:
A) ƒ(x + 2) = (x + 2)^5

B) ƒ(x + 2) = ( x – 2)^5

C) ƒ(x) – 2 = x^5 – 2

D) ƒ(x) + 2 = x^5 + 2

Answers

Answer:

[tex]\huge \boxed{\mathrm{Option \ D}}[/tex]

Step-by-step explanation:

[tex]f(x)+k[/tex]

Is the formula for upward vertical translation.

[tex]f(x)-k[/tex]

Is the formula for downward vertical translation.

Where [tex]k[/tex] is the units being translated.

Translation in the positive y-direction is upward vertical translation.

[tex]k=2[/tex]

The translation is by 2 units.

The function becomes,

[tex]f(x)+2[/tex]

Answer:

Step-by-step explanation:

D) ƒ(x) + 2 = x^5 + 2

Round 3.99408317124 to the nearest tenth.

Answers

Answer:

4.0

Step-by-step explanation:

when rounded the nine adds to the whole number making it 4

Rounding 3.99408317124 to nearest tenth becomes 4.

Why we round numbers ?

We round numbers as it is easy to remember and also rounding a number to a certain place retains approximate value to that pace.

According to the given question we have to round  3.99408317124 to nearest tenth.

We know to round a number to a certain place we have to check the

digit that is one place lesser.

Now we have to round 3.99408317124 to tens place so we'll look at the digit at ones' place which is 9 and is greater than 5 so we'll add one to it this will make it 0  and 1 will carry over.

Thus the number becomes 4.0.

learn more about rounding numbers here :

https://brainly.com/question/109166

#SPJ2

ANSWER IF YOU LOVE YOUR LORD!!!! Which graph represents the solution to: 2k+8<5k-1?

Answers

Answer:

Third graph

Step-by-step explanation:

First, find the solution to the equation of inequality given.

2k + 8 < 5k - 1

Subtract 5k from both sides

2k + 8 - 5k < 5k - 1 - 5k

-3k + 8 < -1

Subtract 8 from both sides

-3k + 8 - 8 < -1 - 8

-3k < -9

Divide both sides by -3. (Note: < will change to > when dividing both sides with negative number)

[tex] \frac{-3k}{-3} [/tex] > [tex] \frac{-9}{-3} [/tex]

k > 3

The graph that will represent this solution will show that all values of k are greater than 3. 3 is not included as a solution. The "o" on top of the 3 on the number line won't be shaded to indicate that 3 is not included. And also, the arrow will point from 3 towards our right.

Therefore, the 3rd graph is the answer.

A company has determined that 1% of its widgets are defective. If a customer received 2 widgets, what is the probability that they are both defective?

Answers

Assume independence because there are probably a lot of widgets. 1/100 x 1/100 = 1/10,000

Answer:

I'm just answering so the other person can have brainliest.

Sometimes I wonder if I'm the only idiot in the world.

Step-by-step explanation:

Which of the following is equivalent to √8?
A.2
B.√2
C.2 √2
D.2 + √2

Answers

Answer:

[tex]C.2\sqrt{2}[/tex]

Step-by-step explanation:

Step 1: Know you can split 8 into factors of 4 and 2

[tex]\sqrt{(4)(2)}[/tex]

Step 2: Recognize 4 is a square number

[tex]\sqrt{(2^{2})(2) }[/tex]

Step 3: Because [tex]2^{2}[/tex]  is squared you can move it out

[tex]2\sqrt{2}[/tex]

Therefore the answer is C

select the property that is demonstrated by: 3+7=7+3

Answers

Answer:

Commutative property of addition

Step-by-step explanation:

This is called the commutative property of addition which states that a + b = b + a. In this case, a = 3 and b = 7.

Answer:Communitive Property of Addition

Step-by-step explanation:

A+B=B+A 3+7=7+3

The communitive property of addition states that the order of two numbers being added doesn’t matter and that the sum is the same.

f + 3 pi = 7 pi what is f?

Answers

Answer:

f = 4 pi

Step-by-step explanation:

f + 3 pi = 7 pi

f = 7 pi - 3 pi

f = 4 pi

Answer:

f = 4 pi

Step-by-step explanation:

f + 3 pi = 7 pi

Subtract 3 pi from each side

f + 3 pi -3pi = 7 pi -3 pi

f = 4 pi

How many ways can six of the letters of the word ALGORITHM be selected and written in a row if the first three letters must be THM

Answers

Answer: 120 ways

Step-by-step explanation: The word ALGORITHM has 9 letters. We want them to be written in a row, which means, order of the letters are important, so, use Permutation.

Permutation is calculated by:

P(n,r) = [tex]\frac{n!}{(n-r)!}[/tex]

We want to use 6 of the 9 letters with first 3 being THM. So, n = 6 and r = 3:

Permutation will be:

P(6,3) = [tex]\frac{6!}{(6-3)!}[/tex]

P(6,3) = [tex]\frac{6.5.4.3!}{3!}[/tex]

P(6,3) = 120

There are 120 ways six letters of ALGORITHM be written in a row with first three letters THM.

Find the inverse of the exponential function f(x)=10^x

Answers

Answer: [tex]y=\frac{ln(x)}{ln(10)}[/tex]

Step-by-step explanation:

To find the inverse of the function, you first replace the y with x and x with y. Then you solve for y.

[tex]y=10^x[/tex]                                [replace y with x and x with y]

[tex]x=10^y[/tex]                                [find natural log of both sides to get y alone]

[tex]ln(x)=ln(10)^y[/tex]                    [divide ln(10) on both sides]

[tex]\frac{ln(x)}{ln(10)} =y[/tex]                              

Now that we have found y after switching y with x and x with y, we know that the inverse is [tex]y=\frac{ln(x)}{ln(10)}[/tex].

Use the divergence theorem to find the outward flux of the vector field F(x,y,z)=2x2i+5y2j+3z2k across the boundary of the rectangular prism: 0≤x≤1,0≤y≤3,0≤z≤1.

Answers

By the divergence theorem, the flux of F across the boundary of a region, ∂R, is equal to the integral of div(F ) over the region itself, R. In this case, the flux would be

[tex]\displaystyle \iint_{\partial R}\mathbf F\cdot\,\mathrm d\mathbf S = \iiint_R\mathrm{div}(\mathbf F)\,\mathrm dx\,\mathrm dy\,\mathrm dz \\\\ = \int_0^1\int_0^3\int_0^1\frac{\partial(2x^2)}{\partial x} + \frac{\partial(5y^2)}{\partial y} + \frac{\partial(3z^2)}{\partial z} \,\mathrm dx\,\mathrm dy\,\mathrm dz \\\\ = \int_0^1\int_0^3\int_0^1 (4x+10y+6z)\,\mathrm dx\,\mathrm dy\,\mathrm dz = \boxed{60}[/tex]

In this exercise we have to calculate the flux by the divergent theorem:

[tex]\int\limits\int\limits_R\, ds = 60[/tex]

By the divergence theorem, the flux of F across the boundary of a region, ∂R, is equal to the integral of div(F ) over the region itself, R. In this case, the flux would be:

[tex]\int\limits\int\limits_R {F} \, ds= \int\limits \int\limits \int\limits_R {div(F)} \, dxdydz\\=\int\limits^1_0 \int\limits^3_0 \int\limits^1_0 {(4x+10y+6z)} \, dx dy dz= 60[/tex]

See more about vectorial calculus at : brainly.com/question/6960786

Answer this question please. Thanks​

Answers

Answer:

a). $8.30

b).$18.70

c). $10.40

d). 1.04

Step-by-step explanation:

Average price of the ticket of a basketball game can be represented by the function,

p(x) = 0.03x² + 0.56x + 6.35

Where 'x' is the number of years or duration.

a). P(3) = 0.03(3)² + 0.56(3) + 6.35

           = 0.27 + 1.68 + 6.35

           = $8.30

b). P(13) = 0.03(13)² + 0.56(13) + 6.35

             = 5.07 + 7.28 + 6.35

             = $18.70

c). P(13) - P(3) = 18.70 - 8.30

                      = $10.40

d). [tex]\frac{P(13)-P(3)}{13-3}[/tex] = [tex]\frac{10.40}{10}[/tex]

                    = 1.04

  Average increase in the price of each ticket from 3 tickets to 13 tickets is $1.04.

Using the order of operations, what should be done first to evaluate (-2)³ + 4 ÷ (-15 + 9)(3) - 4?

Answers

Answer:

use BODMAS

brackets

of

division

multiplication

addition

subtraction

or Americans would use BEDMAS I think

so it'll be 8 + 4 ÷ (-24) × (3) - 4 = 35

u can break the brackets down further

Answer:

Its a on ed

Step-by-step explanation:

Other Questions
Define a function pyramid_volume with parameters base_length, base_width, and pyramid_height, that returns the volume of a pyramid with a rectangular base. Sample output with inputs: 4.5 2.1 3.0 Theorists who believe that dissociative identity disorder is an authentic disorder argue that cases of the disorder are rooted in:_____.A. Extreme stress.B. Torture by a satanic cult.C. Severe emotional trauma that occurred in childhood.D. Intentional role playing. how high off the ground is a book that has 120 J of potential energy and a 4-kg mass ? How to translate the number of people increased by 13 into an algebraic expression Solve for d. 4d-4= 5d -8 Given A = {a, b, c, d} and B = {1, 2, 3, 4} , sets A and B can be defined as? Question 2 options: equal sets equivalent sets equal and equivalent sets neither equal or equivalent sets If R is between A and D andDR = 8 and DA = 15 then AR= Solve for x. A. 4 B. 3 C. 5 D. 7 Match each event or location to its definition.a sea route sought by European explorers that would link the Atlantic Ocean with the Pacific Ocean a time of major economic changes in Europe; marked by the growth of mercantilism and capitalism the exchange of goods, animals, and diseases between Europe and the AmericasColumbian ExchangearrowRightcommercial revolutionarrowRightNorthwest PassagearrowRight The long-distance calls made by the employees of a company are normally distributed with a mean of 6.3 minutes and a standard deviation of 2.2 minutes. Find the probability that a call a. lasts between 5 and 10 minutes. b. lasts more than 7 minutes. c. lasts less than 4 minutes. Find the total surface area. A. 192 cm B. 197 cm C. 109 cm D. 216 cm As resistance to European settlement in the Americas, what native ruler, who was referred to by Europeans as King Philip, led an attack across modern-day Massachusetts in which hundreds died on both sides Help plzz I think it is 1 or 2 ..... By The square root property, if k is a real number and x^2=k, then what is x equal to? 1. k 2. =| k 3. -k 4. k^2 Please read the directions Thx for the help I attached the photos Can 8x be added to 56? Why or why not?Use rich text? the children were making a noice.change to passive voice 50 POINTS!! In the carbon cycle, all animals must consume other organisms because A. they can not absorb enough carbon from water. B. they cannot absorb carbon directly from the air. C. they are in competition with plants for available carbon. D. they require carbon to perform photosynthesis. Use technology and a t-test to test the claim about the population mean at the given level of significance using the given sample statistics. Assume the population is normally distributed. Claim: ; Sample statistics: , s, n What are the null and alternative hypotheses? Choose the correct answer below. A. H0: HA: B. H0: HA: C. H0: HA: D. H0: HA: Using the numbers and symbols, solve 7x = 42 reduce the following rational expression to lowest terms if possible 12/16 Please answer me fast Will mark as a brainlist