In the terminal side of an angle in standard position lies on -4y=3x and x>0, find the exact values of the trigonometric functions of 0

Answers

Answer 1

Answer:

sec ∅  =  5/4

cosec ∅  = -5/3

cot ∅  = -4/3

Tan ∅ = - 3/4

sin ∅   = -3/5

cos ∅   =4/5

Step-by-step explanation:

Given : -4y = 3x  , x > 0

i.e. 3x + 4y = 0 ,  x >0

4y = -3x  ∴ y = - 3/4 x

The values of trigonometric functions of  ∅  are

Tan ∅  = opposite / adjacent

           = - 3/4   ( given that y = slope which is = Tan  ∅ )

now we will find the hypothenuse ( c )

c^2 = a^2 + b^2 = 9 + 16 = 25

therefore ; c = √25 = 5

hence the trig functions are :

sin ∅   = -3/5

cos ∅   =4/5

sec = 5/4

cosec = -5/3

cot = -4/3


Related Questions

plz help on this one

Answers

Answer:

I beleive is it B "The domain is the set of real numbers great then 2."

Answer:

a

Step-by-step explanation:

my aunt is a teacher she told me the answer

The present, past, and future of speak is _____.

speaking, spoke, will speak
speak, speaked, will speak
speak, spoken, speaking
speak, spoke, will speak

Answers

Answer:

speaking, spoke, will speak

Step-by-step explanation:

its just how english works

Answer:

speaking, spoke, will speak

Step-by-step explanation:

If x = 4, y = 3, z = -5, then evaluate: z - z + x - y

Answers

i got -15 as the answer, hope it works
Answer:

1

Explanation:

z - z + x - y

-5 - -5 + 4 - 3

-5 + 5 + 4 - 3

4 - 3

1

A toy train set has a circular track piece. The inner radius of the piece is 6 cm. One sector of the track has an arc length of 33 cm on the inside and 55 cm on the outside. What is the width of the track?

Answers

Answer:7cm difference

Step-by-step explanation:when the circumference is 55 the diameter is 17 when the circumference is 33 the diameter is 10

17-10=7

Answer:4

Step-by-step explanation:

Identify the vertex of the parabola


Options:

A. (-1,0)

B. (0,-1)

C. (0,1)

D. (1,0)

Answers

Answer:

D. (1, 0)

Explanation:

The vertex of a parabola would be the turning points, so the bottom of the U or the top of an n.

In this case, the vertex hits the x-axis, so the answer would be the point where it hits.

Find the sum of the parts of a given pizza.
1. 11/7. 2. 12/5​

Answers

11/7+12/5=55/35+84/35=139/35

The sum of the parts 11/7 and 12/5 of pizza is 139/35.

It is given that the parts of pizza are:

[tex]1. 11/7\\2. 12/5\\[/tex]

It is required to find sum of the parts of pizza.

What is a fraction?

Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called denominator.

Calculating the sum of the parts of pizza:

[tex]=\frac{11}{7}+\frac{12}{5}[/tex]

[tex]=\frac{139}{35}[/tex]    

Thus, the sum of the parts 11/7 and 12/5 of pizza is 139/35.

Learn more about the fraction here:

https://brainly.com/question/1301963

a little helps? frvvrfew3

Answers

Answer:

Step-by-step explanation:

x ≤ 165

Hope that helps!

Aubree invested $27,000 in an account paying an interest rate of 0.0825% compounded monthly. Addison invested $27,000 in an account paying an interest rate of 0.08625 % compounded continuously. After 20 years, how much more money would Addison have in her account than Aubree, to the nearest dollar?

Answers

Answer:

A = $27,445.50

Step-by-step explanation:

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 0.0825%/100 = 0.000825 per year.

Solving our equation:

A = 27000(1 + (0.000825 × 20)) = 27445.5

A = $27,445.50

The total amount accrued, principal plus interest, from simple interest on a principal of $27,000.00 at a rate of 0.0825% per year for 20 years is $27,445.50.

Answer: $11741

Step-by-step explanation:Rate 1: 8

4

1

%=8+1/4=

\,\,8.25\%\rightarrow 0.0825

8.25%→0.0825

\text{Rate 2: }8\tfrac{5}{8}\%=8+5/8=

Rate 2: 8

8

5

%=8+5/8=

\,\,8.625\%\rightarrow 0.08625

8.625%→0.08625

\text{Calculate Final Amount for Aubree}

Calculate Final Amount for Aubree

\overline{\phantom{\text{Calculate Final Amount for Aubree}}}

Calculate Final Amount for Aubree

\text{Compounded Monthly:}

Compounded Monthly:

A=P\left(1+\frac{r}{n}\right)^{nt}

A=P(1+

n

r

)

nt

P=27000\hspace{35px}r=0.0825\hspace{35px}t=20\hspace{35px}n=12

P=27000r=0.0825t=20n=12

A=27000\left(1+\frac{0.0825}{12}\right)^{12(20)}

A=27000(1+

12

0.0825

)

12(20)

A=27000(1.006875)^{240}

A=27000(1.006875)

240

A=139796.9278

A=139796.9278

\text{Calculate Final Amount for Addison}

Calculate Final Amount for Addison

\overline{\phantom{\text{Calculate Final Amount for Addison}}}

Calculate Final Amount for Addison

\text{Compounded Continuously:}

Compounded Continuously:

A=Pe^{rt}

A=Pe

rt

P=27000\hspace{35px}r=0.08625\hspace{35px}t=20

P=27000r=0.08625t=20

A=27000e^{0.08625(20)}

A=27000e

0.08625(20)

A=27000e^{1.725}

A=27000e

1.725

A=151538.0678

A=151538.0678

\text{How much more money Addison has:}

How much more money Addison has:

151538.0678-139796.9278

151538.0678−139796.9278

Help ASAP I’ll mark you as brainlister please HELPP ik crying I feel so useless pleasee

Answers

Answer:

439.8 ft²

Step-by-step explanation:

Which is a graph of a proportional relationship? NO BITLY ITS A SCAM I KNOW IT

Answers

Answer:

c

Step-by-step explanation:

29. Consider the equation:
3(1 + px) = 12x
For what value of p does the equation have no solution?
A 3
B. 4
C. 12
D. 36

Answers

I think it’s C.

Explanation: sorry if I’m wrong..

Answer:

The answer is actually B.

Step-by-step explanation:

3(1+4x)=12x

(3)(1)+(3)(4x)=12x(Distribute)

3+12x=12x

12x+3=12x

Step 2: Subtract 12x from both sides.

12x+3−12x=12x−12x

3=0

Step 3: Subtract 3 from both sides.

3−3=0−3

0=−3

(Can't be negative)

a bag contains 10 marbles. Four of them are red, three blue, two white, and one yellow. A marble is drawn at random. What is the probability that it is red? Make sure to reduce your answer. 25 points if you answer help pls :/

Answers

Answer:

40% chance

Step-by-step explanation:

4 marbles out of 10 are red. 4/10= 0.4= 40%

Answer: 2/5

Step-by-step explanation: If there're 10 marbles and 4 of them are red, then the probability of it being red is 4/10.

To reduce or simplify it, you must divide both 4 and 10 by 2, leaving you with 2/5.

:)

I NEED HELPP PLS!!!!!!!!!!!!!!!!!!!

Answers

Answer:

270

Step-by-step explanation:

The formula for finding the area of a triangle is base · height ÷ 2, or [tex]\frac{bh}{2}[/tex]

After plugging in the numbers given to the formula, we find that the area of the triangle is 27.

Then to account for the length, we multiply the area of the triangle by 10.

This gets us to 270.

whats the area of this square help me, please

Answers

Answer:

The area is 36m^2

Step-by-step explanation:

6×6=36

Answer:

6 x 6 = 12

Step-by-step explanation:

area is length x width and all sides on a square are congruent ( so all of the sides are 6)

Can someone please tell me how to find the surface area of shapes please I'm literally crying I have a quiz due in 10 minutes and I'm gonna fail please help

Answers

Answer:

No Problem

Step-by-step explanation:

Answer:

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

Step-by-step explanation:

Surface area means, basically the outside of the shape, faces is a fancy way schools use to say sides, for example a cuboid, these look like rectangles but 3D, It has 6 "faces" or sides. And it also has 12 edges. With my school, they usually fill the 3D shapes with cubes to have a way to estimate the size, or they might write it on the sides like 2D shapes. Prisim means a 3D shape that has 2 faces that are the exact same, like a 2D rectangle. Which is a look-alike to the cuboid. SA=2lw+2lh+2hw might look , difficult but it means SA=surface answer, 2LW means length with, 2LH means length hight, and 2HW means hight width.

The China Company offers a trade-discount rate that is 4 times the complement of the trade-discount rate. If the list price is $58.75, what is the trade discount? What is the net price?

Answers

Answer: See explanation

Step-by-step explanation:

Since the complement is the difference between 100% and discount rate. Since the China Company offers a trade-discount rate that is 4 times the complement of the trade-discount rate. Therefore, the discount rate will be 80% and the complement 20%.

Therefore, the trade discount will be:

= List price × Trade discount rate

= $58.75 × 80%

= $58.75 × 0.8

= $47

Net price = List price - Trade discount

= $58.75 - $47

= $11.75

find 2/3 - 8/9 how can you write the expression using a common denominator

Answers

2/3 x 3/3 = 6/9

So it would be 6/9 - 8/9

Find the value of x.

Answers

Answer:

34

Step-by-step explanation:

Evaluate (14 - 2) – 3: (2.3) - 22
A
0
В
2
с
20
D
22

Answers

Step-by-step explanation:

(14-2) - 3:(2.3)-22= 12- 1.3-22= -11.3

Which data set has a variation, or mean absolute deviation, similar to the data
set in the given dot plot?

Answers

Answer:

d

Step-by-step explanation:

I took the test .......................

PLEASE HELPPPPP ASAP Which is an absolute value function g(2) that represents both horizontal and vertical transformations of the parent function f(x) = |x|?
A. g(x) = 3|x|+ 10

B. g(x) = – 5|x - 7|

C. g(x) = |x+3| + 4

D. g(x) = 2| x- 44|

Answers

Answer:

C

Step-by-step explanation:

This graph goes 3 to the left and 4 up. The only one with horizontal and vertical transformations.

Pls solve and explain

Answers

Answer:

1684 2/3

Step-by-step explanation:

This is a right trapezoid you can break this down into a rectangular prism and a triangle find the area of those two shapes separately then add them together to get your total volume

find the value of given expression !!

[tex] \sqrt{23 \times 3 \: -2 } [/tex]

Answers

Answer:

sqrt(67)

Step-by-step explanation:

sqrt(23×3-2)

sqrt(69-2)

sqrt(67)

Step-by-step explanation:

√{23×3-2}=√{69-2}=√67 is your answer

Ill give brainliest if answered correctly!
y x 6 = y for 2/3

Answers

Answer:

4

Step-by-step explanation:

A pair of jeans regularly sells for $24.00. They are on sale for 25% off. What is the sale price of the jeans.

Answers

Answer:

24 x 25/100 = 6

of means multiplication so you are multiplying the percent to the regular price. Always consider cent as a hundred and a percent out of 100 in fractions.

Answer:

18 dollars

Step-by-step explanation:

half of 24 is 12 and half of that is 6 so 24-6=18 :)

help please

Marcie heated a beaker of water in science class. The scatter plot shows the temperature (y), in degrees Celsius, of the water based on the number of minutes (x) she heated the water.

Part A: The line of best fit for this data is
y = 5.3x + 23. Use this equation to make a conjecture about the temperature of the water in the beaker if heated for 6 minutes.

A.
The water will be about 71⁰C.

B.
The water will be about 55⁰C.

C.
The water will be about 32⁰C.

D.
The water will be about 50⁰C.

Part B: What is the y-intercept in the line of best fit? What does the y-intercept represent in the scatter plot?

A.
5.3; the amount the temperature increases each minute

B.
5.3; the temperature of the water before it is heated

C.
23; the amount the temperature increases each minute

D.
23; the temperature of the water before it is heated

Answers

Answer:

Part A

Given function

y = 5.3x + 23

The value of y at x = 6:

y = 5.3*6 + 23 = 54.8° C

The closest choice is :

B.  The water will be about 55⁰CPart B

The y-intercept is the value of y when x = 0

y = 5.3*0 + 23 = 23° C

This is the initial temperature at zero minute time, before heating is applied.

Correct choice is:

D. 23; the temperature of the water before it is heated

A man traveled 108 km at an average speed of 72 km/h. He returned at an average speed of 54km/h. What was his time for the whole journey?

Answers

I think the answer is 3.5 hours. 108/72=1.5
108/54= 2
2+1.5=3.5

I will give brainliest to whoever gives correct answer first!
A short term loan of £60000 is taken for 15 weeks. Simple interest is charged at 17.5% p.a.
How much needs to be repaid altogether?

Answers

Answer:

Kahe be kaha se ba see u online ba hahahaha

Answer:

$ 100,000,000,000 is required to repay

find the 15th term of the arithmetic sequence 2x+2, 8x-3, 14x-8,...

Answers

Answer:

a₁₅ = 86x - 68

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2x + 2

d = a₂ - a₁ = 8x - 3 - 2x - 2 = 6x - 5 , then

a₁₅ = 2x + 2 + 14(6x - 5)

     = 2x + 2 + 84x - 70

     = 86x - 68

Solve for x. Round your answer to the nearest tenth (0.1)

Answers

Answer:

[tex]x\approx 7.0[/tex]

Step-by-step explanation:

Since we are given a right triangle, we can use right trigonometric ratios.

x is the opposite side to our angle. 10 is the adjacent side to it. Thus, we can use the tangent ratio:

[tex]\displaystyle \tan(\theta^\circ)=\frac{\text{opposite}}{\text{adjacent}}[/tex]

Substitute:

[tex]\displaystyle \tan(35^\circ)=\frac{x}{10}[/tex]

Solve for x:

[tex]x=10\tan(35^\circ)[/tex]

Use a calculator:

[tex]x=7.0020...\approx 7.0[/tex]

x=7 yards

Answer:

Solution Given:

Opposite = x

base=10yards

and angle is 35°

we know that

relationship between opposite and base is given by Tan angle

so

Tan 35°= opposite/base

Tan 35°*10=x

x= 7.002

x≈7 yards

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