The angle 01 is located in Quadrant IV, and sin(01) = -24/ 25

What is the value of cos(01)?​

Answers

Answer 1

Answer:

[tex] \frac{7}{25} [/tex]

Step-by-step explanation:

We can solve that using this identity,

[tex] \sin {}^{2} (x) + \cos {}^{2} (x) = 1[/tex]

plug in -24/25 from x in sin

[tex] \sin {}^{2} ( \frac{ - 24}{25} ) + \cos {}^{2} (x) = 1[/tex]

[tex] \sin( \frac{576}{625} ) + \cos {}^{2} (x) = 1[/tex]

[tex] \cos {}^{2} (x) = 1 - \frac{576}{625} [/tex]

[tex] \cos {}^{2} (x) = \frac{49}{625} [/tex]

[tex] \cos(x) = \frac{7}{25} [/tex]

Since cos is positve in quadrant 4, the answer is 7/25.

Answer 2

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

then

Sin(Ф) = - [tex]\frac{24}{25}[/tex]

find the angle Ф

Ф = arcSin ( - [tex]\frac{24}{25}[/tex] )

Ф = -73.739795°

so an angle measured clock wise from x axis at zero°

now use cos(Ф) = x/ 25    to find x

25* cos(  -73.739795°) = x

7 = x   :o  wow... exactly?   :P nice

cos(Ф) = 7/25     I think that's what they wanted to know  

also I noted my calculator tried to find the fraction of 0.2800000049 and couldn't,  but then I just put in 0.28 and it found that to be 7/25  :0  so I think we're spot on  :)  


Related Questions

Written as a rate, 32 miles in 8 hours would be ____ miles per hour.

Answers

the answer to your question would be 4 miles an hour

hii! can someone please help me find the radius im struggling aghhh

Answers

Answer:

6.7

Step-by-step explanation:

Answer:

Radius = 2.1 in.

Step-by-step explanation:

Pythagorean Theorem

•a²+4²=4.5²

•a²+16=20.25

•Subtract 16 from both sides

•a²=4.25

•Remove the square root

•√a²=√4.25

•a=2.06155

Given the figure, what is the m ZAOB?
C
25°
D
A
46

Answers

Answer:

C is may answers

I HOPE IS HELPS

Choose one answer
Pls fast anyone

Answers

Answer:

[tex]x=10[/tex]

Step-by-step explanation:

Pythagorean theorem: [tex]a^{2}+b^{2}=c^{2}[/tex]

Answer:

B

Step-by-step explanation:

Pythagorean theorem states that a²+b²=c²

Through observation, I assumed that 8 was the hypotenuse

I sqaured both the known lengths of the leg and hypotenuse and plugged them into the equation: a²+36=64

I subtracted 36 from 64 leaving me with 28=a²

Then in order to isolate the variable I had to apply square root to both values, cancelling the "²" and leaving me with √28=a

I couldn't find the answer ​

Answers

Answer:

The Second one

Step-by-step explanation:

Hope This Helps ; )

Plz Mark Brainliest

Answer:

[tex]\huge\boxed{\sf Option\ B.}[/tex]

Step-by-step explanation:

The condition of being a function is that the domain (values of y) should not be repeated. However, The set in option B denies that condition. Hence Option B is only a relation and not a function.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

A 35-foot ladder is leaning against the side of a building and is positioned such that the base of the ladder is 21 feet from the base of the building. How far above the ground is the point where the ladder touches the building?

Answers

Answer:

height = 28 feet

Step-by-step explanation:

using the Pythagorean theorem:

height = 35² - 21²

height² = 1225 - 441 = 784

height = 28 feet

2/3 feet into inches

Answers

Answer:

12÷3=4

4inches is 2/3 of a foot.

Help me with this!! I will mark Brainliest!!!

Answers

Answer:ggggggggg

Step-by-step explanation:

Can someone please help me with this.

Answers

it has 2 terms and the degree of 2

Help 6th grade math please help i will give brainliest

Answers

B) the side opposite angle B is the longest

*EXTRA POINTS- SOMEONE PLS HELP ITS AN 8TH GRADE WORD PROBLEM*

Suppose a video store charges nonmembers $4 to rent each video. A store membership costs $21 and members pay only $2.50 to rent each video. For what number of videos is the cost the same?

Answers

Answer:

You need to rent

14

videos, and you'll pay the same amount for both. Renting

15

will make the membership a better method of payment.

Explanation:

We can create an equation. Say the number of videos you rent is given by

n

. We can write that, if we rent

n

videos without membership, we'll have to pay

4

n

. If we rent the same amount of videos with membership, we'll have to pay

21

+

2.5

n

.

To find the value of

n

such that the amount you pay without membership is equal to the amount you pay with, we write:

4

n

=

21

+

2.5

n

1.5

n

=

21

n

=

21

1.5

n

=

14

You need to rent

14

videos, and you'll pay the same amount for both. Renting

15

will make the membership a better method of payment.

Darius found that 16 out of 25 students in his class do not have a cell phone. What percent of students in his class do not have a cell phone?​

Answers

Answer:

64%

Step-by-step explanation:

16/25=0.64

Answer: 64% of students do not own a cell phone

Step-by-step explanation:

First, take 100 and divide it by 25, since percentages are out of 100

100/25=4

Now multiply 4 by 16

4x16

You will get

64%

Jimmy Walked a total of 6 miles last week. This week, he walks 2 miles each hour. If he walks 6 hours this week, how many miles will he have walked in all?

Answers

Answer:

18 miles

Step-by-step explanation:

Find how many miles he walked this week by multiplying 2 by 6:

2(6)

= 12

Add this to 6, since he walked 6 miles last week:

12 + 6

= 18

So, in all, he will have walked 18 miles

i cant find out the answer for
the life of me

Answers

Answer:

A. h = (S/2πr) - r

Step-by-step explanation:

Solve the given for h:

S = 2πrh + 2πr²

Isolate h:

2πrh = S - 2πr²

Divide all terms by 2πr:

h = (S/2πr) - r

Correct choice is A

• ¿Cuál es la pendiente de la recta que pasa por los puntos (10.6) (10,6) y (9,52 (9,5)? Escribe tu respuesta en la forma más simple. ​

Answers

Answer:

isjdiwkidsosjsosos

Step-by-step explanation:

hola idnskdnsomsx

If ξ={1 , 2 , 3 , . . . , 8 , 9 , 10}
A={x : x is multiples of 3},
B={x : x is a prime numbers} and
C={x : x<6},
then what is (A⋃B)ʹ⋂C ?

Answers

Answer:

{1,4}

Step-by-step explanation:

A={3,6,9}

B={2,3,5,7}

C={1,2,3,4,5}

AUB={2,3,5,6,7,9}

(AUB)'={1,4,8,10}

(AUB)'⋂C={1,4}

Answer:

Step-by-step explanation:

A = {3 , 6 , 9}

B = {2,3,5,7}

A ∪ B = { 2,3,5,6,7,9}

(A∪B)' - is set of all elements in universal set  that are not in (A∪B)

(A∪B)'  = {1,4,8,10}

C = {1,2,3,4,5}

(A∪B)' ∩C = {1 , 4}

HELP PLS 20 POINTS !!!!

Use the diagram to find the measures of all the angles, given that m<1 = 76º.


Answers

Answer:

m∠2 = 104°

m∠3 = 76°

m∠4 =  104°

Step-by-step explanation:

∠1 and ∠3 are vertical angles

That means they are of the same value.

∠2 and∠4 are also vertical angles and we can find the value like this:

Sum of all angles = 360°

Total value of found angles = 152°

Number of angles need to be found = 2x (note: this is 2x because both angles are the same)

Equation = 360 - 152 = 2x

208 = 2x

x = 208/2

x = 104

So angle m∠4 = 104°

and m∠2 = 104°

A bag contains 6 Purple sticks, 5 Orange sticks, 4 black sticks and you ask a friend to pick a stick at random. What is the probability that the stick will be purple?

And thx

Answers

Answer:

9 (partly to do with the amount of sticks)

Hope this helps :)

Answer:

[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

probability (P) is calculated as

P = [tex]\frac{favourableoutcome}{numberofpossibleoutcomes}[/tex]

Here favourable outcome is a purple brick

number of possible outcomes = 6 + 5 + 4 = 15

P(purple brick ) = [tex]\frac{6}{15}[/tex] = [tex]\frac{2}{5}[/tex]

How does a NEGATIVE coefficient effect the parent function?

Answers

The parent function of a square root function is y = √x. Its graph shows that both its x and y values can never be negative.

What is the sum of the exterior angles of a 25-gon? giving brainly

Answers

Sum of the exterior of any polygon is always 360

The map shows rail connections between major American cities.



What is the best conclusion that can be drawn from this map?

Most U.S. railroad traffic starts in Houston.
Atlanta is the railroad hub of the South.
Charlotte’s central location makes it a Southern city of the future.
Railroad traffic between Georgia and Florida is in decline.

Answers

Answer:

I need to know this, too.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

You can conclude this for the picture

List the sides of the triangle in order from
shortest to longest.

Answers

GF GE FE is the answer
GF Ge Gc is in the answer

PLZ HELP ILL GIVE U BRAINLIEST

Answers

Answer:

11

Step-by-step explanation:

hope this helped

Answer:

11

Step-by-step explanation:

I believe this is correct. If you count there are 5 terms all together so 11 would be the third term

Hope that helps

Maxine find a dress on sale for 10% off at a boutique.The original price was $62, Maxine must also pay 6.75% sales tax.What is the final cost of the dress?

Answers

10% off means she pays 90% of the original price. (100% - 10% = 90%)

62 x 0.90 = 55.80 the sale price of the dress is $55.80

Now add the tax by multiplying the sale price by 1 + tax rate:

55.80 x 1.0675 = 59.57

She paid $59.57

Answer:

10% off means she pays 90% of the original price. (100% - 10% = 90%)

62 x 0.90 = 55.80 the sale price of the dress is $55.80

Now add the tax by multiplying the sale price by 1 + tax rate:

55.80 x 1.0675 = 59.57

She paid $59.57

Step-by-step explanation:

PLEASE HELP !!!!


Your mom deposits $3500 into an account that pays 4.75% annual interest compounded continuously. How many years will it take for the amount of money in the account to reach $15,000? Just enter a numerical answer for the number of years rounded to the hundredth place.

Answers

Answer:

About 31 years

Step-by-step explanation:

Given data

Principal= $3500

Rate=  4.75%

Final amount= $15,000

Time=??

The expression for time on compound interest is

Calculate time, solve for t

t = ln(A/P) / r

substitute

Calculate time, solve for t

t = ln(15000/3500) / 0.0475

t= ln(4.2857)/ 0.0475

t= 1.4552/0.0475

t= 30.63 years

Hence it will take about 31 years

The total amount kate had left is 4.20$ after buying 7 pencils at p cents. Please explain how do I answer this question and find the value of p

Answers

Answer:

each pencil almost costs 83 cents which is the value of p

Step-by-step explanation:

Here most important data that the amount which Kate had before the purchase of pencils is missing.

For our convenience i am assuming Kate had $10 before the purchase of pencil.

Since, after purchase the left with Kate = $4.20

Therefore, amount spend on purchase of pencils = $10-$4.20 = $5.80

In $5.80 Kate purchased 7 pencils

Therefore cost of each pencil p = 5.80/7 = $0.8285 ≅ $0.83

Therefore each pencil almost costs 83 cents which is the value of p

Find the smallest number by which 1250 must be multiplied to obtain perfect square​

Answers

Answer:

2

Step-by-step explanation:

2 x 1250 = 2500

the perfect square for 2500 is 50:

[tex]\sqrt{2500} = 50[/tex]

2
If = X – 1= 4, then x =
x – ,
3

Answers

Answer:

X=15/2

Step-by-step explanation:

hope it helps you

have a great day

Answer:

a

Step-by-step explanation:

15/2×2/3=30/6=5

5-1=4

hope this helps

Need help plz im really stuck

Answers

Answer:

um with what plz tell for I can help you

PLEASEEEE SOMEONE HELP ME WITH THIS ITS DUE IN A COUPLE HOURS!!!!!

Answers

I can tell you that the opposite side of the triangle (the top) is also 11 those are two congruent sides

Answer:

27°

Step-by-step explanation:

I'm assuming you have learned basic trigonometry: SOH CAH TOA. In this diagram to find the angle x we are given the opposite side and the hypotenuse, therefore we will use SOH. sinθ = opp/hyp. Plugging in those values we get sinθ = 5/11 -> θ = sin⁻¹ (5/11) = 27.03569179° = 27°

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