Find the values of all 6 trigonometric functions for the angle inside right triangle where the opposite side of the angle is 9 cm and hypothenuse of the triangle is 13 cm.

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

Find the missing leg x first using Pythagorean:

[tex]x=\sqrt{13^2-9^2} =\sqrt{169-81} =\sqrt{88}[/tex]

Now the 6 functions, considering angle α opposite to leg with length of 9:

sine = opposite/hypotenuse

sin α = 9 / 13

cosine = adjacent/hypotenuse

cos α = √88 / 13

tangent = opposite / adjacent

tan α = 9 / √88

cotangent = adjacent / opposite

cot α = √88 / 9

secant = hypotenuse / adjacent

sec α = 13 / √88

cosecant = hypotenuse / opposite

csc α = 13 / 9
Answer 2
P=9cmH=13cm

B=

[tex]\\ \sf\longmapsto \sqrt{13^2-9^2}=\sqrt{169-81}=\sqrt{88}\approx9.5[/tex]

Now

[tex]\\ \sf\longmapsto sinA=\dfrac{P}{H}=\dfrac{9}{13}[/tex]

[tex]\\ \sf\longmapsto cosA=\dfrac{B}{H}=\dfrac{9.5}{13}[/tex]

[tex]\\ \sf\longmapsto tanA=\dfrac{P}{B}=\dfrac{9}{9.5}[/tex]

[tex]\\ \sf\longmapsto cotA=\dfrac{1}{tanA}=\dfrac{9.5}{9}[/tex]

[tex]\\ \sf\longmapsto secA=\dfrac{1}{cosA}=\dfrac{13}{9.5}[/tex]

[tex]\\ \sf\longmapsto cosecA=\dfrac{1}{sinA}=\dfrac{13}{9}[/tex]


Related Questions

I need help I can’t find the anwer please help

Answers

Answer:

You: 3, 6, 9, 12

Friend:4, 8, 12, 16

Step-by-step explanation:

You/Friend ratio is 3/4

Missing numbers:

8 / (4/3) = 612 * (4/3) = 16

Numbers:

You      3, 6, 9, 12

Friend  4, 8, 12, 16

Find c
[tex]a+a=10\\a+b=35\\b-z=5\\z+a+b+c= 10[/tex]

Answers

C=-50 a=5 b=30 z=25

25+5+30+(-50)=10

Answer= -50

a= 5

b= 30

z= 25

c= -50

As an estimation we are told 5 miles is 8 km.
Convert 52.5 miles to km.

PLEASE HELP NO TIME FOR LINK!!!

Answers

Answer:

Step-by-step explanation:

52.5 mi(8 km/5mi) = 84 km

simplify 2/3x-4/9y+x+y

Answers

Here is ur perfect answer

I think this will help you

Solve for k.

k + 4.9 = 12.28

Answers

Answer:

k=7.38

Step-by-step explanation:

12.28-4.9=7.38

Answer:

7.38

Step-by-step explanation:

= > x + 4.9 = 12.28

= > x = 12.28 - 4.9

= > x = 7.38

Hope it helps!!

Please Help!
what is the resultant of the two vectors shown above?​

A. (9,1)
B. (1,-9)
C. (-1,9)
D. (5,5)

Answers

Answer:

D 5 5 it has to be the answer

Could I get help with this?

Answers

Answer:

you would pay $1000 because insurance would cover the 1500 for medical, and it would pay 5000 of the 6000 for damage to the car

Step-by-step explanation:

what is the slope of the line of (8,10) (-7,14)​

Answers

The answer is : -4/15

Answer:

-4/15

Step-by-step explanation:

slope is simply the rise over the run which is the change in y over the change in x.

( (y_2) - (y_1) ) / ( (x_2) - (x_1) )

if you plug in your variables that gives you

(14-10) / (-7-8)

which equals

4/-15

- (4/15)

Jacob saw a model of a building that will be built in his city. The model has a height of 40 centimeters and will be built to a scale of 1:50. What is the actual height of the building? (1 m = 100 cm)

Answers

Answer:

20 m

Step-by-step explanation:

1/50 = 40/x

Cross multiply.

1 × x = 50 × 40

x = 2000

2000 cm × (1 m)/(100 cm) = 20 m

Answer: 20 m

Ophira’s insurance company has notified her that her premiums will increase due to a poor insurance score and a recent claim she filed. The recent claim has increased her premiums by 41%, and her poor insurance score will cost her an additional $25 per month. Ophira currently pays $815 per year for insurance. How much will she pay next year?


$1149.15
$1672.15
$1449.00
$1449.15

Answers

Answer:

$1449.15

Step-by-step explanation:

currently paying 815

to pay next year: 41% increase + 25 extra per month

⇒ 141%·815 + 12·25

    = 1149.15 + 300

    = 1449.15

How have vaccines impacted health?


A: Vaccines have only made a little progress at preventing most diseases.
B: Vaccines are effective on some people but not others.
C: Large numbers of people have had allergic reactions to vaccines
D: Some diseases have almost completely disappeared



Answers

Answer:

D some disease have almost completely disappeared

B. Or D. Would be your answer. The reason why I would say B. Is because people have different immune systems which makes your body reject the vaccine contents. But on the other hand for D. Is that it they have made a lot of pretty bad sicknesses almost disappear such as chicken pox.

The diameter of Pilar's bike wheel is 24 inches.
How far does Pilar's bike travel when the wheel makes
10 complete rotations?

Answers

The distance Pilar's bike travel when the wheel makes  10 complete rotations is 753.6 inches

Since the wheel is circular in nature, we will take the circumference to determine the distance travelled for 1 revolution

Circumference of a circle = πr²

r is the radius of the wheel.

Given that d = 24 in, r = 24/2 = 12in

C = 2(3.14)(12)

C = 75.36 in

Hence the distance completed by 1 revolution is 75.36. If Pilar's bike makes 10 revolutions, hence the required distance will be:

D = 10 * 75.36

D = 753.6in

Hence the distance Pilar's bike travel when the wheel makes  10 complete rotations is 753.6 inches

Learn more here: https://brainly.com/question/23242098

Suppose that a risk-free investment will make three future payments of $250 in 1 year, $250 in 2 years, and $250 in 3 years. Instructions: Round your answers to 2 decimal places. a. If the Federal Reserve has set the risk-free interest rate at 4 percent, what is the proper current price of this investment? $ b. What is the price of this investment if the Federal Reserve raises the risk-free interest rate to 6 percent? $

Answers

Answer:

la théorie des plaques est

The total present value will be $693.75

The total present value will be $668.23

What is Future Value?

Future value is the value of an asset or investment as of some future date. In other words, the future value is the sum of money that an investment will be worth, assuming a certain rate of return, after a specific amount of time (interest rate).

First, i= 4/100 = 0.04

n= 1, 2, 3

Amount= $250

So, Present Value = 250/ (1 + 0.04) +  250/ (1 + 0.04)² +  250/ (1 + 0.04)³

=  250/ 1.04 + 250/ 1.04² + 250/ 1.04³

= 240. 38 + 231.13 + 222.24

= $693.75

So, The total present value will be $693.75

Second,  i= 6/100 = 0.06

n= 1, 2, 3

Amount= $250

So, Present Value = 250/ (1 + 0.06) +  250/ (1 + 0.06)² +  250/ (1 + 0.06)³

=  250/ 1.06 + 250/ 1.06² + 250/ 1.06³

= 235. 84 +  222.49 + 209.90

= $668.23

So, The total present value will be $668.23

Learn more about Future Value here:

https://brainly.com/question/14860893

#SPJ2

help ! ✬

due tomorrow, i font understand this at all :(

Answers

Answer:

41 litters to gallons is 10.8311

3.5 gallons to litters is 13.2489

A = 10.8311 Gallons

B = 13.2489 Literes

The perimeter of a rectangle is 21+ 2where is the
length of the rectangle and wis the width find the
Perimeter of the rectangle if the length is 12 inches and the width is 9 inches

Answers

Answer:19 - 20

Step-by-step explanation:

Yo

Find the angles of a triangle which are in the ratio 4:3:2.​

Answers

Answer:

80o, 60o, 40o

Step-by-step explanation:

The sum has to add up to 180 degrees because of the three sides and this is what matches.

Answer:

Let the given angles of the triangle be 4x, 3x and 2x.

We know that the sum of all interior angles of a triangle is 180°.

Therefore,

4x+3x+2x = 1809x = 180x = 180/9x = 20

Hence, the angles of the triangle are -

4x = 4×20 = 80°3x = 3×20 = 60°2x = 2×20 = 40°

What is Two-thirds divided by one-sixth?
An area model with 4 shaded parts and 2 unshaded parts. The shaded parts are labeled two-thirds.
2
3
4
6

Answers

Answer: 4

Step-by-step explanation:

So, what I do to divide fractions is to turn them into reciprocals, which means changing it into a multiplication problem and turning the second fraction upside down. So, [tex]\frac{2}{3}[/tex] x [tex]\frac{6}{1}[/tex]. We multiply across, so 2 x 6 is 12, and 3 x 1 is 3, which gets us to [tex]\frac{12}{3}[/tex]. Since this is an improper fraction, we can simplify by dividing 12 by 3 to get 4. Hope this helps! :)

Answer:

4 (C) hope this helps!!

BYEEEEEEEEE!

how many times does 32 go into 7500​

Answers

Answer:

yy

Step-by-step explanation:

Answer:

234.375

Step-by-step explanation:

divide 7500 by 32, and you'll get the number of times 32 goes into 7500.

7500 ÷ 32 = 234.375

and if the question is asking for whole numbers it would be just 234 times (and a 3/8)

What is the answer to the equation 56/3+7=

Answers

Hey there!

56/3 + 7

= 56/3 + 7/1

= 56/3 + 21/3

= 56 + 21/ 3 + 0

= 56 + 21/3

= 77/3

≈ 25 2/3

≈ 25.666667

Therefore, your answer is: [77/3] which is approximately [25.666667]

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

In a school of 1,000 students, 600 study physics, 300 study Calculus, and 100 study both. What is the probability that someone who does not study calculus studies physics? Give your answer as a decimal to one decimal place.

Answers

The probability that someone who does not study calculus studies physics is 0.5

Since there are 1000 students in the school and 600 study physics, 300 study Calculus, and 100 study both, we need to find the number of students that study only physics to find the probability that someone who does not study calculus studies physics.

Let x = number of students who study both = 100, y = number of students who studies only physics and z = number of students who studies only calculus.

Given that the number of students who study physics are 600, we have

x + y = 600  (1)

Also, given that the number of students who study calculus are 300, we have

x + z = 300  (2)

From (1)

y = 600 - x

y = 600 - 100

y = 500

So, the probability of students that study only physics = probability that someone who does not study calculus studies physics  is

P(physics) = number of students studying only physics/total number of students

= 500/1000

= 5/10

= 0.5

So, probability that someone who does not study calculus studies physics is 0.5

Learn more about probability here:

https://brainly.com/question/19916581

BRAINLIEST TO CORRECT PLEASE HURRY

Answers

Answer:

-32

Step-by-step explanation:

no link no bot please right fast but right

Answers

Answer:

12 in

Step-by-step explanation:

3in + 3in + 3in + 3in = 12

The perimeter is 12 inches because each side is 3 inches, therefore 3+3+3+3=12

PLEASE ASAP HELPPPP PICK THEM ALL!!

Answers

Answer:

B

Step-by-step explanation:

solve the inequality x-3 < 3x -7​

Answers

Answer:

x > 2 or 2 < x

Step-by-step explanation:

x-3 < 3x-7

-3 < 2x-7

4 < 2x

2 < x

x > 2

A new cell phone costs $108.99 in the store. What would your total cost be if the sales tax is 4.5%? Round your answer to the nearest cent, if necessary.

Answers

Answer: $113.89

Step-by-step explanation:

108.99 * 0.045

= 4.90455

108.99 + 4.90455

= 113.89455

$113.89

Answer:

Total Cost = $113.89

Step-by-step explanation:

Total Cost = Cell phone cost + sale Tax % ( cell phone cost)

Total Cost = $108. 99 + .045 × $108.99

Total Cost = $108.99 + $4.90455

Total Cost = $108.99 + $4.90

Total Cost = $113.89

Two teams are going on a trip to play a game. There will be
2 buses to take the students. On each bus, there are 60
seats. Teachers and parents will sit in 10 of the seats on
each bus
How many seats are available for students on the buses?

No links

Answers

-——————-
*%~.Answer .~%*
The Answer is 100
-——————-

First you would Multiply 2 and 60
You can do that by adding 60 two times.

-——————-

60. It should look like this. If you didn’t get
+ 60. 120 then your answers is incorrect, or
——— wrong. ☺️
120

-——————-

Now you multiply 10 x 2 because the teacher’s and parents will take up 10 is the seats on each bus!
To make is easier add 10 and 10 you should get 20!

-——————-

Now subtract 20 from 120.

120. You should get 100! If you didn’t get
- 20. 100 then you're answer is incorrect or
———. Wrong, Once again.
100

——-————————-

You're answer is, 100! There will be 100 seats leftover or available for the students on the busses!

~ pls Mark brainiest, or at least say thanks!

• TheTrueNezuko.

Jose is 52 inches tall and is growing 0.25 inches each month. Jacob is 54 inches tall and is growing 0.1 inches each month. How many months, x, will it take for Jose to be the same height as Jacob?

Answers

Answer:

who measures someone's height in inches

Step-by-step explanation:

the answer is 14

It will take 13.3 months for Jose to be the same height with Jacob.

x = number of month

The height equation for Jose:

Jose is already 52 inches tall and growing at 0.25 inches per month. Therefore, his height is represented as follows

h(x) = 52 + 0.25(x)

The height equation for Jacob:

Jacob is already 54 inches tall and growing at 0.1 inches per month. Therefore, his height is represented as follows

h(x) = 54 + 0.1x

For both to have the same height,

52 + 0.25x = 54 + 0.1x

52 - 54 = 0.1x - 0.25x

-2 = -0.15x

x = -2 / -0.15

x = 13.3333333333

x = 13.3 months

learn more linear equation here:  https://brainly.com/question/19704985?referrer=searchResults

which is the first question in brainly

Answers

Answer:

this question

Step-by-step explanation:

Answer:

The first question was this: https://brainly.com/question/420 ur welcome :)

Step-by-step explanation:

debbie used 40% of her flour for
cookies she started with 24 cups how many cups did debbie use?

Answers

Answer:

24 x 40% = 9.6

Step-by-step explanation:

the answer is Lil Debbie™ 9.6 cup used.

I’ll make you to Brainlius if you answer the question no links I’ll take a folder but no links or power point As long as you know the question and you didn’t the quiz at least send either PowerPoint or a folder please I need help immediately ASAP

Answers

Answer:

1) Is 9 2)x-3   3) 12 ,106,42 4)1/12 5) one ,three half ,three 6)32 7) 1,4,5 8) 1 z-9 2 9+z 3 9/3 4 9z 9) 3/n 10 10) 1 2

Step-by-step explanation: Cuz I'm In The Test Now And Jest Got Done With It And All The Answers are Right here  

2^3+4•2-7=
2^4=8
4•2=8
8+8=16-7
16-7=9
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