The line y=3x creates an acute angle theta when it crosses the x-axis, Find the exact value of sec theta

Answers

Answer 1

Answer:

Sec(θ) = 3

Step-by-step explanation:

First, we know that:

Sec(x) = 1/Cos(x)

Now we have an angle θ in the intersection between the line y = 3x and the x-axis.

Here we can think of this as a triangle rectangle, such that:

x is the adjacent cathetus to θ

y is the opposite cathetus to θ

y = 3*x is the hypotenuse.

Here we also need to remember the relation:

Cos(θ) = (adjacent cathetus)/(hypotenuse)

Then we will get:

Cos(θ) = x/(3*x) = 1/3

If we multiply both sides by 3, we get:

Cos(θ)*3 = (1/3)*3 = 1

Cos(θ)*3 = 1

Now we can divide both sides by Cos(θ)

[Cos(θ)*3]/Cos(θ) = 1/Cos(θ)

3 = 1/Cos(θ)

And  1/Cos(θ) = Sec(θ)

Then:

3 = Sec(θ)

The exact value of sec theta is 3.


Related Questions

A fitness center charges $3 per visit plus a monthly fee of $30. How much would it cost in one month if Ella has 18 visits?
$48
$54
$84
$90

Answers

Answer:

84$

Step-by-step explanation:

It says it costs $3 per visit and Ella went 18 times

So we can describe that as x represents the times she has visited, x=18, so 3(18)

now we just add $30 dollars since she only went in one month and $30 is the fee per month so that would be (3*18=) 54+30

which would then give you $84 dollars!

hope it helps!!

Answer:

C.) $84

Step-by-step explanation:

SlaSLICS. lvia
2
Select the correct answer.
Under which condition is the sample proportion, P. a point estimate of the population proportion?
OA. The sample represents a proportion of the population.
ОВ.
The sample proportion is never a point estimate of the population proportion. I need help ASAP
OC. The sample size, n, is small enough.
OD. The sample proportion is unblased.
Reset
Next
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Answers

Answer:

The sample proportion is never a point estimate of the population proportion. I need help ASAP

Step-by-step explanation:

The sample proportion is never a point estimate of a population proportion. Then the correct option is B.

What is the sample proportion or population proportion?

The letters p stand for the population percentage and the sample proportion, respectively.

The objective of the population proportion are as follows;

In order to understand that, the sample fraction is a Gaussian distribution.To comprehend the significance of the sampling proportion's mean score formulae.To determine the shape of the distribution given a big study population.

The sample proportion is never a point estimate of a population proportion.

Then the correct option is B.

More about the sample proportion or population proportion link is given below.

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If 24 apples represents 30% of her apple supply. How many total apples does Jasmine have?

Answers

Answer:

She has 80 apples in all.

Step-by-step explanation:

24=30%

(24÷3)=(30÷3)%

8=10%

(8×10)=(10×10)%

80=100%

The answers to your question is 1.25

Mr. Mims had 50 bags of chips. He gave away 37 bags. What percent of the bags did he give away?

Answers

Answer:

74%

Step-by-step explanation:

How I did it is divided 37 and 50 (37/50 = 0.74)

Given the function f(x)=2|x+6|-4,for what values of x is f(x)=6

Answers

Answer:

[38]

Step-by-step explanation:

A coach records the ages of the players on two of her teams. Which statement about the ages of the students is true? A The range of ages is the same for both teams.The range of ages is the same for both teams. B The mode(s) of the ages is the same for both teams.The mode(s) of the ages is the same for both teams. C The mean age of the players on the volleyball team is less than the mean age of the players on the baseball team.The mean age of the players on the volleyball team is less than the mean age of the players on the baseball team. D The median age of the players on the volleyball team is greater than the median age of the players on the basketball team.

Answers

Answer:

Bro u need to put in the graph or the chart or something

Step-by-step explanation:

Help

Help

Help

Help. Help help help help help help help help

In the figure, angle D measures 71° and angle G measures 37°. What is the measurement of angle A?

Answers

Answer:

No u

Step-by-step explanation:

Answer : M{A}=72

This is a triangle, meaning the total degree will be 180.

In July 2008, a forest fire near the Park Yosemite National burned about 53 miles squares of forest. If a square mile equals 640 acres, about how many acres of forest were burned?

Answers

Answer:

33,920 acres of forest were burned.

Step-by-step explanation:

In this case, since you know that a square mile is equal to 640 acres, you can use a rule of three to find the acres that are equivalent to 53 square miles:

    1 square mile    →    640 acres

53 square miles    →         x

x=(53*640)/1

x=33,920 acres

According to this, the answer is that 33,920 acres of forest were burned.

A line segment AB is increased along its length by 25% by producing it to C on the side of B . If A and B have the coordinates ( 1 , 2 ) and ( 5 , 6 ) respectively then find the coordinates of C.
Ans : ( 6 , 7 )

*Please show your workings* ​

Answers

Answer:

C = (6, 7)

Step-by-step explanation:

Coordinates of point B in terms of A and C:

x = x₁ + (x₂ - x₁)*a/(a + b)y = y₁ + (y₂ - y₁)*a/(a + b)B(x, y) = (5, 6), A(x₁, y₁) = (1, 2), C(x₂, y₂) = ?

Find the coordinates:

5 = 1 + (x₂ - 1)*4/5  ⇒ 4 = 4/5*(x₂ - 1) ⇒ x₂ - 1 = 5 ⇒ x₂  = 66 = 2 + (y₂ - 2)*4/5 ⇒ 4 = 4/5(y₂ - 2) ⇒ y₂ - 2 = 5 ⇒ y₂ = 7C = (6, 7)

18. Hoping to lure more shoppers downtown, a city


builds a new public parking garage in the central business


district. The city plans to pay for the structure through


parking fees. During a two-month period (44 weekdays),


daily fees collected averaged $126, with a standard


deviation of $15.

Answers

Answer:

The responses to these question can be described as follows:

Step-by-step explanation:

Please find the complete question in the attached file.

For the random condition:

If other regular fees have been chosen at random, I'd claim I'm satisfactory.

State of autonomy:

Truly content, since the 44 daily fees represent less than 10% of the total population of daily payments, the community must have more than 440 daily fees.

In the  Normal Condition:

Since the sample size of 44 is 30 or more, the distribution of the sample means is roughly Normal (as per the total probability theorem).

Nadia sells earthworms to fishermen. She charges 75 cents for a dozen worms. Yesterday she sold 48 worms. How much money did she make?

Answers

Answer:

I believe she sold 3 dollars

Step-by-step explanation:

if this helps please give me a crown

Answer:

$3.00

HOPE THIS HELPS :)

Marco picked answer A for the following problem. Why is that not the correct answer? (NO LINKS)

Answers

Answer:

This is not correct because the organic rice line in Graph A is increasing more than the conventional rice line. This is why the x- and y-labels are important: organic rice in Graph A; you are able to get more pounds for the same amount of weight. If organic rice costs more, you should get less pounds of rice. Graph B shows this relationship because the conventional rice line is higher than the orangic rice line, which indicates that you can get more conventional rice than organic rice at the same price, which is what the question says.

Which of the following cannot be solved using nPr?

permutations of the letters of the word "OF"
permutations of the letters of the word "PERMUTATION"
permutations of the letters of the word "THINGS"
permutations of the letters of the word "N"

Answers

Answer:

permutations of the letters of the word "PERMUTATION"

Step-by-step explanation:

The number of permutations of the letters of the word "PERMUTATION" cannot be solved using nPr. The correct answer is B.

What is the permutation?

The permutation is defined as considered an ordered combination.

The following formula computes the permutation of r items from n:

P(n, r) = n! /(n-r)!

here order matters and repetition is not allowed.

Therefore, nPr cannot be used to solve problems that involve repeating items or where order does not matter.

As per the question, the permutations of the letters of the word "OF", "THINGS", and "N" involve distinct letters and no repetition, so they can be solved using nPr.

However, the word "PERMUTATION" has repeated letters.

Therefore, the number of permutations of the letters of the word "PERMUTATION" cannot be solved using nPr because it does not account for repeated items.

Learn more about the permutations here:

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what number should be added to get 10/77 to get 1 ?

Answers

I think to add to the same number and it would be a whole number

Juan needed 2 cables of different lengths for his home
audio speakers. He purchased a total of 39 feet of
cable. The longer piece of cable is 9 feet longer than
the shorter piece. What is the length, in feet, of the
longer piece of cable?
F.:.6
G. 13
H. 15
J. 24
K. 26

Answers

Answer:

the length of the  longer piece of cable is 24 ft

Step-by-step explanation:

shor piece = s

Long piesce = s+9

s + s+9= 39

2s = 30

s = 15

short = 15

15 +9 = 24

long = 24

15+24 = 39

Answer:

24 feets

Step-by-step explanation:

let the shorter cable be x feets

so the longer cable will be 9 plus the shorter cable which is (9 + x) feets

Total length = Longer cable + shorter cable 39 = (9 + x) + x

39 = 9 + 2x2x = 39 - 9 2x = 30

[tex]x \: = \: \frac{30}{2} \\ x = 15feets[/tex]

But the longer cable is (9 + x)So longer cable = 9 + 15

Longer cabl = 24 feets

PLZ HELP! QUESTIONS ARE BELOW! :D

Answers

Answer:

2) A = 12 in.²

5) A = 737 in.²

6) A = 48 in.²

9) A = 2400 in.²

Step-by-step explanation:

2)

Trapezoid

base1 = 4 in.

base2 = 2 in.

height = 4 in.

A = (b1 + b2)h/2 = (4 + 2)(4)/2 = 12

A = 12 in.²

5)

rectangle + semicircle

A = LW + ½πr²

A = 29 * 20 + ½(3.14)(10²)

A = 580 + 157

A = 737 in.²

6)

A = 8 * 8 - 4 * 4

A = 48 in.²

9)

A = 50 * 60 - 20 * 30

A = 2400 in.²

The number of members in an organization, M, changes as a function of t months. In which situation is M a linear function of t?
The membership doubles every year from the previous year.
1.The membership doubles every year from the previous year.
2.The membership increases by 1% every month from the previous month.
3.The membership decreases by 20 members every month from the previous month.
4.The membership increases by 50 members in each of the six warmest months and decreases by 50 members in each of the other six months.The membership doubles every year from the previous year.

Answers

Answer: D. The membership increases by 50 members in each of the six warmest months and decreases by 50 members in each of the other six months.

Step-by-step explanation: Because it is a linear function it needs to fluctuate so by using process of elimination D is the only answer that would look like a linear function by having that curved line we are looking for in a function.

The difference of two numbers is 22 and their is 76 find the numbers

Answers

Answer:

27

Step-by-step explanation:

a 76 le quitas la diferencia de 22 y da 54 que lo divides entre 2 y da 27 por lo que 27+27=54+22=76

Amanda, Joe, and Ravi have a total of $129 in their wallets. joe has $9 less than Amanda. Ravi has 4 times what Amanda has. How much does each have?

Answers

465 ofc I don’t know if that’s correct Bc like I haven’t done this in a minute soo

In a class test, +4 marks were awarded for the correct answers and -1 mark for the wrong answers. Student scores 40 marks. If his correct answers were 11, find his wrong answers. *

Answers

4 Wrong Answers

[tex]Correct = 11*4=44[/tex]

[tex]Incorrect = Correct - 40 = 4[/tex]

Please help, It feels like I know it but It won’t come to my brain

Answers

Answer:

D. m= x + 0.75

Step-by-step explanation:

Andrew is adding books to the backpack that already weighs 0.75 kg.

the answer is D

m= x+0.75

Cindy feeds her dog 1/3 pound of food each day after 6 day,how many pounds of food has she given to her dog?

Answers

Answer: 2 pounds

Step-by-step explanation: if each day the dog gets 1/3 pounds, then after two days the dog would get 2/3 pounds. 3 days would be 1 pound, so after 6 days that would be 2 pounds.

help pls! I will mark u brainliest if its correct. but pls dont put one of those links.. ty​

Answers

i think it is 96m^2 because math

This is a rectangular prism,

Here length = 16 m

Width = 6 m

Height = 3 m

Surface area of rectangular prism = 2( bl + lh + hb )

Where,

b – base length of the rectangular prism.

l – base width of the rectangular prism.

h – height of the rectangular prism.

Putting these values, surface area = 2(16×6 + 16×3+ 3×6)

= 2( 96+48+18) = 2×162 = 324m

hope you get it well :)

Reenu got 2/ 7 part of an apple while Sonal got 4/5 part of it. Who got the larger part and by how much?​

Answers

Reenu did because if I had 1/4 and 1/2 the bigger one is the 1/2

simplify (4x-2)+3(x+7)

Answers

Answer:

7x+19

Step-by-step explanation:

Use the value 3.14 for pi and do not round your answers. Be sure to include the correct units in your answers

Answers

Answer:

C= pi x diameter

5 x 3.14 = 15.7

hope that answers your question

Step-by-step explanation:

Miyoko bought 3 packages of tape that each had 1 yard 2 feet of tape in them how many inches of tape did miyoko buy?

Answers

Answer: 180 inch

Step-by-step explanation:

Given

Miyoko bought 3 packages of tape

Each tape has 1 yard and 2 feet of tape

[tex]1\ \text{yard}=3\ \text{foot}[/tex]

[tex]1\ \text{ft}=12\ \text{inch}[/tex]

converting yard to feet

[tex]\Rightarrow 3+2=5\ ft[/tex]

Convert feet to the inch

[tex]\Rightarrow 5\times 12=60\ \text{inch}[/tex]

For 3 tapes, it is

[tex]\Rightarrow 60\times 3=180\ \text{inch}[/tex]

Thus, the total tape is [tex]180\ \text{inch}[/tex]

Use the distributive property to write an equivalent expression.
10(5v+3)

Answers

Answer:

50v + 30

Step-by-step explanation:

you just multiply what's outside the bracket so 10 with the inner numbers and variables

Answer:

50v + 30

Step-by-step explanation:

big brain

6+1+7+8+9+5+4+6+7+7+7+7+7

Answers

Answer:81

Step-by-step explanation: calculator cause I got Mind jambled-

Answer:

[tex]81[/tex]

Step-by-step explanation:

6 + 1 + 7 = 14

8 + 9 + 5 = 22

4 + 6 + 7 = 17

7 + 7 + 7 + 7 = 21.

now add all of the results together.

14 + 22 + 17 + 21 = 81

hence, the answer is 81.

mr jones is painting a wall in his office. he has enough paint to cover 104 square feet . the wall he is painting is 12 feet wide and 9 feet long. Does he have enough paint to cover the wall

Answers

Answer:

no

Step-by-step explanation:

9x12=108

108 square feet so not enough paint.

needs more paint that covers 4 square feet

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