Find the exact values of sinø , cosø, and tanø if the terminal side of ø in standard position contains the given point.
P(-3,4)
I need sinø, cosø, and tanø please.

Find The Exact Values Of Sin , Cos, And Tan If The Terminal Side Of In Standard Position Contains The

Answers

Answer 1

Answer:

See below for answers and explanations

Step-by-step explanation:

Given P(-3,4) we can solve for the third side:

c=√[(-3)²+4²]

c=5

If the terminal side of ø in standard position contains the given point, then it is located at that point, making -3 the opposite side (the side length is 3), 4 the adjacent side, and 5 the hypotenuse.

Therefore:

cos∅=adjacent/hypotenuse=4/5

sin∅=opposite/hypotenuse=3/5

tan∅=opposite/adjacent=3/4


Related Questions

Find the slope of the line that passes through the points (-4.2) and (6.6). ​

Answers

Step-by-step explanation:

(6-2)/(6+4)= 4/10= 2/5 is the slope

answer is D

The answer is must be 2/5

I’LL MARK AS BRAINLIEST!!! Plz no links

Answers

Answer:

6 people

Step-by-step explanation:

75% of 8 is 6

multiply 8 by the decimal .75

In the pet supply area of the warehouse is a crate of flea shampoo for cats. Each crate holds 55 boxes. Each box holds 7 bottles of shampoo. Each bottle contains 7 mL of the chemical that gets rid of the fleas. How many liters of the chemical is in the crate of shampoo?

Answers

Answer:

2.695 Liters of shampoo

Step-by-step explanation:

Step 1

We find the number of bottles in the crates

1 box = 7 bottles

55 boxes = x

Cross Multiply

x = 55 boxes × 7 bottle/1 box

x = 385 bottles

Step 2

Calculate the total number mL

1 bottle = 7 mL

385 bottles = x

Cross Multiply

x = 385 bottle × 7 mL/1 bottle

x = 2695 mL

Therefore the total number of mL of shampoo in the crates = 2695mL

Step 3

How many liters of the chemical is in the crate of shampoo?

We convert mL to Liters

1 mL =0.001 liter

2695mL = x

Cross Multiply

x = 2695mL × 0.001 liter/1 mL

x = 2.695 Liters of shampoo

Therefore, 2.695 liters of the chemical is in the crate of shampoo

Can someone pls help me!!! NO LINKS... I will mark brainiest to.

Answers

What I don’t get it

Here is your questions

Answers

Answer:

Step-by-step explanation:

strategy:  find the distance of the two points,   take half of that,  b/c that will be the radius,   Then use   the area of a circle formula to find the answer

P1 = (1,-1)   in the form (x1,y1)

P2= ((3,3)  in the form (x2,y2)

dist = sqrt [ (x2-x1)^2 + (y2-y1)^2 ]

dist = sqrt [ 3 -1 )^2 + 3-(-1)^2 ]

dist = sqrt [ 2^2 + 4^2 ]

dist = sqrt [ 4 + 16 ]

dist = sqrt [20]

r = [tex]\sqrt{20}[/tex] /2

area of circle = [tex]\pi[/tex][tex]r^{2}[/tex]

area of circle = [tex]\pi[/tex]([tex]\sqrt{20}[/tex] /2)^2

area of circle = [tex]\pi[/tex]([tex]\sqrt{20}[/tex] /2)([tex]\sqrt{20}[/tex] /2)

area of circle = [tex]\pi[/tex](20 / 4)

area of circle = [tex]\pi[/tex]5

area of circle = 5[tex]\pi[/tex]

Please help with this I need to pass this test or I fail I really appreciate it thank you:(

Answers

Answer:

a because 75 plus 15 equal 90

A because if you add 15% to 75% you get 90%

Someone help me solve this

Answers

Step-by-step explanation:

I hope you understand what I wrote

Find the area of a rectangle that has a width of 4.25 inches and a length that is twice the width.

Answers

A= 36.125 units— 4.25x8.5 =36.125

will name brainliest

Answers

Answer:

14.1 =x

Step-by-step explanation:

Since this is right triangle, we can use trig functions

sin theta = opp/ hypotenuse

sin 42 = x /21

21 sin 42 = x

14.05174273 =x

Rounding to the nearest tenth

14.1 =x

Answer:

x = 14.1 (Rounded to the nearest tenths)

Step-by-step explanation:

Since the opposite side of the angle given needs to be found out and hypotenuse, Sin ratio would be used;

Sin(42) = [tex]\frac{x}{21}[/tex]

=> Now multiply 21 on both sides of =, in order to isolate x;

Sin(42) * 21 = x

14.1 = x

Hope this helps!

Airport Auto Leasing has a ratio of cars to trucks that is 5 to 3. If each leasing center has 24 trucks, which auto leasing company has more cars? Main Street Auto Leasing has more cars since it has cars while Airport Auto Leasing has cars only.

Answers

Complete question :

Main street Auto Leasing has a ratio of cars to trucks that is 9:4.

Airport Auto Leasing has a ratio of cars to trucks that is 5 to 3.

If each leasing center has 24 trucks, which auto leasing company has more cars?

Main Street Auto Leasing has more cars since it has ______ cars while Airport Auto Leasing has ____ cars only.

Answer:

Mainstreet has more cars

Mainstreet has 54 cars

Airport has 47

Step-by-step explanation:

Ratio of cars to trucks :

Mainstreet ; 9 : 4

Airport Auto Leasing ; 5 : 3

If each has 24 trucks :

Number of cars in Mainstreet ;

9 / 4 = 2.25 times more cars than trucks ;

Number of trucks * 2.25 = (24 * 2.25) = 54 cars

Airport Auto leasing :

5 / 3 = 1.666666 times more cars than trucks ;

Number of trucks * 1.666666 = (24 * 1.666666) = 40 cars

Hence, Mainstreet Auto leasing has more cars.


**100 POINTS**
To evaluate the quality of their product, a manufacturer of cell phones checks every 50th phone off the assembly line. Out of 200 phones tested, 4 are defective. The manager concludes that the 2% of the cell phones produced will be defective.

Answers

Unbiased, systematic random, valid.


Madison earned $80 last month pet sitting in her
neighborhood. She spent $54 and put the remainder of the
money in her piggy bank. What percent of her allowance
Madison put in her piggy bank?
A local movie theater was showing them

Answers

Answer:

26

Step-by-step explanation:

Subtract

Answer: 32.5%

Step-by-step explanation:

80 - 54 = 2626/80 × 100 = 32.5%

In the figure, ∠6 and ∠3 are ...

Answers

Answer:

They're supplementary angles AND same-side interior angles.

A scuba diving resort hotel offers divers two plans. Plan A gives 3 nights’ lodging and 4 dives. Plan B gives 5 nights’ lodging and 8 dives. How much does it cost for each night and each dive?

Answers

Answer:

x = 35 and y = 100

Step-by-step explanation:

Let x = dollar cost per dive  and y = dollar cost per night.

ATQ,

4x+3y = 440 .....(1)

and

8x + 5y = 780 .....(2)

Multiply equation (1) by 2.

8x+6y = 880......(3)

Subtract equation (3) from (2).

8x + 5y -(8x+6y)= 780-880

-y = -100

y = 100

Put the value of y in equation (1).

4x+3(100) = 440

4x = 440-300

4x = 140

x = 35

Hence, the value of x is 35 and that of y is 100.

Solve 3-²I need work shown​

Answers

Answer:

1/9

Step-by-step explanation:

Answer:

its 987556467724

Step-by-step explanation:

I took quiz and got it right thid my proof

question in photo! no need to explain answer,

Answers

Answer:

i its 3 or 4

Step-by-step explanation:

Stefan sells Jin a bicycle for ​$125 and a helmet for ​$18. The total cost for Jin is 130​% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend​ originally? How much money did he make by selling the bicycle and helmet to​ Jin?

Answers

Answer:

Stefan originally spent $ 110 on the bike and helmet, with which he is making a profit of $ 33.

Step-by-step explanation:

Since Stefan sells Jin a bicycle for $ 125 and a helmet for $ 18, and the total cost for Jin is 130% of what Stefan spent originally to buy the bike and helmet, to determine how much did Stefan spend originally and how much money did he make by selling the bicycle and helmet to Jin, the following calculations must be performed:

130 = 125 + 18

100 = X

100 x (125 + 18) / 130 = X

100 x 143/130 = X

14,300 / 130 = X

110 = X

143 - 110 = 33

Therefore, Stefan originally spent $ 110 on the bike and helmet, with which he is making a profit of $ 33.

Please help me please I really need help.

Answers

Answer:

B. 113°

Step-by-step explanation:

Tc = R + (Th - R)e^(-0.036t)

Substitute values and solve for Tc:

Tc = 68° + (146° - 68°)e^(-0.036*15)Tc = 113.45° ≈ 113°

Correct choice is B


The weight of one serving of chocolate is 1.5 ounces How many servings are there in a 25,5 ounce bag of chocolate?

Answers

Answer:

17 servings

Step-by-step explanation:

This is a fairly easy question. Here is what you need to do to solve.

The whole chocolate bag is 25.5 oz, and each serving is 1.5 oz.

So divide 25.5 by 1.5 to get your answer of 17 servings per bag!

_________________________________________________________

Hope this helps!

Yours Truely, TheAnimeCatUwU!

48 POINTS!!!!! given tan Ф = 4/5, find all other trig functions.


sin =

cos =

tan =

csc =

sec =

cot =

Answers

Step-by-step explanation:

let : y = Opponent side, x= Adjecent side

and r= hypotenuse

tan 0 = 4/5

y/x = 4/5 => y =4, x=5

so, r = √4²+5²=√16+25=√41

sin = y/r = 4/ √41

cos = x/r = 5/√41

tan = y/x = 4/5

csc = r/y = √41 /4

sec = r/x = √41 /5

cot = x/y = 5/4

P/B=4/5P=4B=5B=√5²+4²=√41

So

sinØ=P/H=4/√41cosØ=B/H=5/√41cotØ=5/4secØ=√41/5cscØ=√41/4

The parabola y=[tex]x^{2}[/tex] is shifted up by 7 units and to the left by 1 unit. What is the equation of the new parabola?

Answers

y=(x-h)^2+k where (h,k) is the vertex

So, equation of new parabola is:

y=(x+1)^2+7

Cole found BC in ABC his work is shown below identify the first step in which his work shows an error
Can anyone help me with this question please.
No links or I’ll report.

Answers

Answer:

Length of BC = 12 inch

Step-by-step explanation:

Given:

ΔABC is a right angle triangle

Length of AB = 9 inch

Length of AC = 15 inch

Find;

Length of BC

Computation:

Using Pythagoreans theorem;

Hypotenues² = parpendicular² + Base²

Step 1 :

AC² = AB² + BC²

Step 2 :

15² = 9² + BC²

Step 3 :

225 = 81 + BC²

Step 4 :

225 - 81 = BC²

Step 5 :

BC² = 144

Step 6 :

BC = √144

Step 7 :

BC = 12 inch

Length of BC = 12 inch

A butterfly has a wingspan of 66 mm and a height of 6 cm.
Which is greater, its wingspan or its height?

Answers

Answer:

wingspan

Step-by-step explanation:

there's 10 mm in every cm

ILL MARK BRAINLIEST.

Which One Doesn't Belong? Determine which equation fromthe four below doesn't belong and justify your answer. Could there be a different answer?
A. solve for x: 2x + 6 + 1x = 3x + 6
B. solve for x: 5x + 6 + -2x = 3x + 6
C. solve for x: 3x + 7 = 3(x +2)
D. solve for x: 2x + 6 = 3x + 7​

Answers

Answer:

c

Step-by-step explanation:

c because you would get fals as the answer because to solve you first distribute so you would get 3x+7=3x+6 and both 3 x's would cancel out so you would get 7=6 so that would be false

A crab walk 1/12 of a mile an hour. The crab 1/5 of a mile away from the beach . How long will it take the crab to reach the beach

Answers

Answer:

2.4 hours

Step-by-step explanation:

[tex]\frac{1}{5} /\frac{1}{12}[/tex]

2.4 hours

Pls I need answer it’s due today!!!!!!!!!

Answers

Step-by-step explanation:

in probability,or means addition.

14/28+19/28

1/2+19/28

you then find the LCM of the denominator.

14+19/28

33/28

you then divide 33 by 28.

A train travels 120km to the nearest kilometer for 3.5 hours correct to the 2 significant figures.
Calculate the least speed of the train to 2 decimal places.

Answers

Answer:

Least speed = 33.66 km/h

Step-by-step explanation:

The least distance is 119.5 km, and the most time it took was 3.55 hours.

Therefore the least speed = least distance/most time

= 119.5/3.55 km/h

= 33.66 km/h

Janice is 7 years older than Tam. Complete the table, and then graph this situation.


Tam

x(years)

2 9

4 ?

6 ?

8 ?

Answers

Answer:

The table in the exercise can be completed with the next results:

x          y 2         9 4         11 6         13 8         15

Step-by-step explanation:

As in the exercise Janice is 7 years older than Tam, to obtain the result in the table, you must add 7 to each age in the column x, with this we can make the next formula:

y = x + 7

Remember that x is Tam's age, and y is Janice's age, so, you must replace the x variable in each case to obtain the result to y:

When x is 2:

y = 2 + 7y = 9

When x is 4:

y = 4 + 7y = 11

When x is 6:

y = 6 + 7y = 13

When x is 8:

y = 8 + 7y = 15

At last, to obtain the graph you can use the formula made: y = x + 7, and you'll obtain a graph like the attached picture, where each time x obtain a unit, the y variable obtain a unit too maintaining the diference of 7.

Fill in the blanks to make the following statements true. Also named the property used.
a. (-5) + (-4) = ___ + (-5),
b. 4 + __ = 4,
c. - 53 + ___ = - 53,
d. 4 + [(-5) + (7)] = [4 + (7)] + ___,
e. 25 + [(-50) + 5 ] = (25 + 5) + ___,
f. (-4) + ___ = -4,
g. 4 + (-4) = ___,
h. 5 + ___ = 0 ,

Answers

Answer:

a. (-4)

b. 0

c. 0

d. (-5)

e. (-50)

f. 0

g. 0

h. (-5)

A box is a right rectangular prism with the dimensions 8 inches by 8 inches by 14 inches. What is the surface area of this box?



fyi, question, answer choices, and prism are shown the the photo :) please answer ASAP and explain how you did it. I'm having alot of trouble with surface area.

Answers

Answer:

Option C. 576 in^2

Step-by-step explanation:

Given ,

Length = 8 inches

Breadth = 8 inches

Height = 14 inches

Now ,

using surface area of box (Cuboid)

= 2(l×b + b×h + h )

= 2(8×8 + 8×14 + 14×8)

= 2 ( 64 + 112 + 112 )

= 2 ( 288)

= 576 inches^2.

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