Find cos , csc 0, and tan 0, where is the angle shown in the figure.
Give exact values, not decimal approximations.
cose
10
9
csc
tan

Find Cos , Csc 0, And Tan 0, Where Is The Angle Shown In The Figure.Give Exact Values, Not Decimal Approximations.cose109csctan

Answers

Answer 1

Answer:

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios, sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot).

The ratios are valid only in right triangles, or when one of the internal angles is 90°.

Take any of the acute angles as a reference, and the largest side as the hypotenuse, then:

[tex]\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]

[tex]\displaystyle csc\theta=\frac{\text{hypotenuse}}{\text{opposite leg}}[/tex]

[tex]\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]

The missing side of the triangle x can be calculated by using Pythagora's Theorem:

[tex]10^2=9^2+x^2[/tex]

Solving:

[tex]x^2=10^2-9^2=100-81=19[/tex]

[tex]x=\sqrt{19}[/tex]

For the angle marked as θ:

[tex]\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]

[tex]\displaystyle \tan\theta=\frac{\text{9}}{\sqrt{19}}[/tex]

Rationalizing:

[tex]\displaystyle \tan\theta=\frac{9\sqrt{19}}{19}[/tex]

[tex]\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]

[tex]\displaystyle \cos\theta=\frac{\sqrt{19} }{10}[/tex]

[tex]\displaystyle \csc\theta=\frac{\text{hypotenuse}}{\text{opposite leg}}[/tex]

[tex]\displaystyle \csc\theta=\frac{10}{9}[/tex]


Related Questions

PLEASE HELP ME ITS URGENT
Just the first one

Answers

Answer:

m=-1/3

Step-by-step explanation:

A circular oil spill in the ocean is increasing in diameter at a rate of 200 feet per hour. By how many square feet is the oil spill increasing per hour?
Increase in diameter: d(h) = 200h; h in hours
Increase in area: A(d) = π(0.5d)2; d in feet
Which composite function represents the total area of the oil spill as a function of hours?

Answers

Answer:

A(d(h)) = π(100h)2

Step-by-step explanation:

In edge it would be C

When solving these word problems it is helpful to remember that they ask us to use composition of functions to solve it so if it is the total area in regards to hours, what you would need to do look at the problem in this manner:  

A( (d(h) )= A (Pi(0.5x200h)^2

and when you simplify like terms it would be:

Pi(100h)^2

Amy's penny bank is 1/4 full. After she adds 240 pennies, it is 5/8 full. How many pennies can Amy's bank hold?

Answers

The penny bank can hold 640 pennies

If you would like me to show how I got it I can

Chloe has 36/4 ounces of cocoa. She is making chocolate cakes for bake sale. If 9/2 ounces of cocoa are usef in each cake, how many cakes can Chloe make? Help please!

Answers

Answer:

2 cakes

Step-by-step explanation:

Lets divide these fractions (when dividing, remember keep, change and flip): 36/4 * 2/9 = 2

I hope this helps, please mark Brainliest, thank you !!

Answer:

B 2 cakes

Step-by-step explanation:

did the test

Point A is located at (0, 7). After it is transformed, point A' is located at (0, -7). How was the point transformed?
it was reflected in the x-axis
it was rotated 270°
it was reflected in the y-axis
it was rotated 90° around the origin

Answers

Answer:

it was reflected over the x axis

Step-by-step explanation:

.......

Vedant received two quotes for new carpet for his home. The quote from Company A is $0.15 less per square foot than the quote from Company B. If Vedant plans to buy 1,200 square feet of carpet, how do his total costs from the two companies compare?
Company A is cheaper by $180.

Company B is cheaper by $180.

Company A is cheaper by $8,000.

Company B is cheaper by $8,000.

Don’t make any funny jokes about this and don’t say idk or something like that or I’ll report you.

Answers

Answer:

Company B is cheaper by $180.

Step-by-step explanation:

just do 1,200 square feet x 0.15 = 180

Answer:

b as in big cat

Step-by-step explanation:

The area of a trapezoid is 864cm². It has a height of 24 cm, and the length of one of its bases is 30 cm. What is the length of the other base?​

Answers

The area A of a trapezoid with height h and bases b₁ and b₂ is equal to the average of the bases times the height:

A = (b₁ + b₂) h / 2

We're given A = 864, h = 24, and one of the bases has length 30, so

864 = (b₁ + 30) 24 / 2

864 = (b₁ + 30) 12

864 = (b₁ + 30) 12

72 = b₁ + 30

b₁ = 42

The altitude (i.e., height) of a triangle is increasing at a rate of 1.5 cm/minute while the area of the triangle is increasing at a rate of 3.5 square cm/minute. At what rate is the base of the triangle changing when the altitude is 10 centimeters and the area is 86 square centimeters? The base is changing at cm/min.

Answers

Answer:

-1.88cm/min

Step-by-step explanation:

Given

dh/dt = 1.5cm/min

dA/dt = 3.5cm²/min

Height h = 10cm

Area A = 86cm²

Required

db/dt

b is the base

h is the height.

Area of a triangle A = 1/2bh

dA/dt = dA/db•db/dt + dA/dh •dh/dt

dA/db = h/2 = 10/2 = 5cm

Get the base

86 = 1/2(10)b

5b = 86

b = 17.2cm

dA/ dh = 1/2b = 1/2(17.2)

dA/dh = 8.6cm

.substitute given values into the formula above;

dA/dt = dA/db•db/dt + dA/dh •dh/dt

3.5 = 5 db/dt + 8.6(1.5)

3.5 = 5 db/dt + 12.9

5 db/dt = 3.5-12.9

5 db/dt = -9.4

db/dt = -9.4/5

db/dt = -1.88cm/min

Hence the base is changing at -1.88cm/min

R - 27 / 6 = 7

SOLVE FOR R and thank you

Answers

Answer:

huh

Step-by-step explanation:

1the answer is 11.5

Will make you brainliest!!! If correct!!

Answers

Answer:

Step-by-step explanation:

y = - [tex]\frac{1}{4}[/tex] x + 3 ( equation of line t )

y - (- 2) = - [tex]\frac{1}{4}[/tex] [ x - (- 2)] ⇒ y = - [tex]\frac{1}{4}[/tex] x - [tex]\frac{5}{2}[/tex] ( equation of line u )

A car can travel 135 miles with 5 gallons of gasoline. At this rate, how much gallons of gasoline the car needs to travel 675 miles?

Answers

Answer:

25 gallons

Step-by-step explanation:

Given

135 miles to 5 gallons

Required

Determine the number of gallons for 675 miles

From the question, number of miles is directly proportional to number of gallons:

So, we have:

[tex]135\ miles = 5\ gallons[/tex]

and

[tex]675\ miles = x[/tex]

Where x represents the number of gallons for 675 miles

Cross Multiply:

[tex]135 * x = 675 * 5[/tex]

[tex]135x = 3375[/tex]

Make x the subject

[tex]x = 3375/135[/tex]

[tex]x = 25[/tex]

Hence, the car needs 25 gallons

You and 5 friends are in a math club. A sponsor pays $75 to rent a bus to get to competition, a $100 entry fee for the team, and D dollars for each students t-shirt. Write an expression for the total amount the sponsor paid.

Answers

Answer:

Total amount paid by the sponsor = 175 + 6d

Step-by-step explanation:

You and 5 friends = 6 people

Cost of renting a bus = $75

Team entry fee = $100

Cost of each student t shirts = $d

Cost of 6 student t shirts = $d × 6

= $6d

Write an expression for the total amount the sponsor paid.

Total amount paid by the sponsor = Cost of renting a bus + Team entry fee + Cost of 6 student t shirts

= $75 + $100 + $6d

= $175 + $6d

Total amount paid by the sponsor = 175 + 6d

Where,

d = cost of each student t shirts

what is 328.618 round to the nearest hundredth

A. 300
B. 328.60
C. 330
D. 328.62​

Answers

Answer:

D. 328.62​

Step-by-step explanation:

328.618 round to the nearest hundredth

Rounding to the nearest hundredth means 2 numbers after the decimal point

Numbers that rounds to 1 are 5, 6, 7, 8, 9

Number that rounds to 0 are 0, 1, 2, 3, 4

When rounding up, to the nearest hundredth, you will consider the next number after the two figures after the decimal point

Here, the next number after the two figures after the decimal point is 8

8 is a number that rounds to 1

Therefore, add 1 to 1 to have

328.62​

add (5y - 1)+ (-2y + 4)​

Answers

Answer:

3y+3

Step-by-step explanation:

"Simplifying

(5y + -1) + (-2y + 4) = 0

Reorder the terms:

(-1 + 5y) + (-2y + 4) = 0

Remove parenthesis around (-1 + 5y)

-1 + 5y + (-2y + 4) = 0

Reorder the terms:

-1 + 5y + (4 + -2y) = 0

Remove parenthesis around (4 + -2y)

-1 + 5y + 4 + -2y = 0

Reorder the terms:

-1 + 4 + 5y + -2y = 0

Combine like terms: -1 + 4 = 3

3 + 5y + -2y = 0

Combine like terms: 5y + -2y = 3y

3 + 3y = 0

Solving

3 + 3y = 0

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + 3y = 0 + -3

Combine like terms: 3 + -3 = 0

0 + 3y = 0 + -3

3y = 0 + -3

Combine like terms: 0 + -3 = -3

3y = -3

Divide each side by '3'.

y = -1

Simplifying

y = -1 "

Answer:

3y + 3

Step-by-step explanation:

(5y - 1) + (-2y + 4) =

3y + 3

A company is packing cartons of candles. Each carton can hold 75 candles. So far, 50 cartons have been packed, but only 30 cartons have been loaded in the truck. How many more candles are left to load on the truck? Please help me

Answers

Answer:

34

Step-by-step explanation:

just guessing but u gotta really put a mind to it aha

Drag the missing statements and reasons to the correct spot to complete the proof

Answers

Answer:

See attached

Step-by-step explanation:

Answer is attached

Write an expression for the area of the triangle below.
Simplify your expression as much as possible.
(2x - 4)
(3x + 5)

Answers

It should be A= 1/2bh but im not sure why you wrote those extra things. Are we supposed to use them?

The high temperature for the day is 28°F. The record low for the day was -12°F. What is the difference in temperature?

Answers

Answer:

40

Step-by-step explanation:

12 + 28

Answer:

40°

Step-by-step explanation:

So the highest is 28 and the lowest is -12. First, you get to zero so 28-28=0 then, to get to -12 you do 0-12= -12. Then I added 28+12 :D

There are two numbers. The difference between them equals six, and one of the numbers is three times the other number. There are two pairs of numbers that satisfy these descriptions, What are they?

Answers

Answer:

Pair 1: 9 and 3      Pair 2: 3 and 9

Step-by-step explanation:

The difference is 6 and one three times more than the other. Draw a diagram below:

Figure out 1 unit: 6÷2=3

3 = one unit

3 is the first number

Figure out second number: 3+6=9

3 & 9, 9 & 3

So, Pair 1: 9 and 3      Pair 2: 3 and 9

Someone help solve this pleAse and ty!!!

Answers

Answer:

1

Step-by-step explanation:

it has to be the same slope and only slope that is right is 1.

Write the equation of the line that passes through the points (-9, -3) and (-7,7).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Answer:

y - 7 = 5(x + 7).

Step-by-step explanation:

The slope m  (7--3)/ (-7- -9)

= 10 / 2 = 5.

y - y1 = m(x - x1)

Using the point (-7, 7):

y - 7 = 5(x + 7).

How would you describe this graph? Check all that apply.
continuous
discrete
increasing everywhere
decreasing everywhere
increasing then decreasing
decreasing then increasing

Answers

Answer:

A and E

Step-by-step explanation:

I took the test

Answer:

ae

Step-by-step explanation:

Determine which of the following angle measures are correct. Select all the apply

Answers

Answer:

The right answer is :

2 (108) and 3 (72)

Step-by-step explanation:

i did the test

The correst angle measures in the triangle ABC is that m∠BAC=72° and ∠BCD=108°.

What is isosceles triangle?

An isosceles triangle is a triangle which is having two sides equal to each other.

How to determine angles?

Firsty we have to find the value of x in the angles. We have been given that the triangle is isosceles because two sides are equal to each other and we know that angles opposite to two equal sides are also equal to each other.

So,

(4x+16)°+2(5x+7)°=180°

4x-16+10x+14=180

14x-2=180

14x=180+2

14x=182

x=182/14

x=13

Putting the value of x.

∠BCA=5x+7

=5*13+7

=65+7

=72

∠ABC=4x-16

=4*13-16

=52-16

=36

∠BAC=180-36-72

=180-108

=72

∠BCD=180-∠BCA

=180-72

=108°

Hence the correst angle measures in the triangle ABC is that m∠BAC=72° and ∠BCD=108°.

Learn more about isosceles triangle at https://brainly.com/question/1475130

#SPJ2

a corn vendor at a farmers market was selling a bag of 8 ears of corn for $2.56 anithert vendor was selling a bad of 12 for 4.32. which bag is the better deal?

Answers

you have to find out how much money each bag would be.
2.56/8 = 0.32
4.32/12 = 0.36
8 ears of corn is thebetter deal

A vitamin C tablet contains 1/4
of a gram of vitamin C. You take 1 1/2
tablets every day. In simplest form, how many grams of vitamin C do you take every day?

Answers

Answer:

3/8 grams

Step-by-step explanation:

1 tablet ⇒ 1/4 grams

Multiply the amount of tablets by 1/4 to find the answer

1 1/2 tablet ⇒ 1 1/2 *1/4 = 3/2 * 1/4 = 3/8 grams

1936 —The electric guitar debuts.
1946 —Muddy Waters cuts the first records of Chicago's electric blues and Carl Hogan plays a powerful guitar riff on Louis Jordan's Ain't That Just Like a Woman.
1948—Columbia Records introduces the long playing (LP) vinyl record.
1949—Fats Domino cuts a new kind of boogie, The Fat Man.
1951—Cleveland disc jockey Alan Freed coins the term rock and roll.
1955—Elvis Presley’s Heartbreak Hotel makes him the first rock star.
1958—Billboard magazine begins their Hot 100 chart listing popular songs.
1959—The National Academy of Recording Arts and Sciences presents the first Grammy Award.
1959—Berry Gordy Jr. founds Motown Records. In the 1960s Motown stars include the Supremes, Stevie Wonder, and Marvin Gaye.
1961—Country Singer Patsy Cline becomes a mainstream pop music hit.
1964—The Beatles song I Want to Hold Your Hand is a sensation igniting the British invasion.
1969—The Woodstock Music and Art Fair, featuring such artists as Janis Joplin, Jimi Hendrix, the Who, and Joan Baez, is attended by hundreds of thousands of fans.
1975—CBGB (Country Bluegrass & Blues) club in New York showcases punk rock.
1977—The movie Saturday Night Fever popularizes disco music.
1978—Hip Hop, a blend of rock, jazz, and soul, is born in the South Bronx, characterized with African drumming.
1981—MTV music television debuts with nonstop music videos.
1983—Compact discs begin to replace vinyl records.
1984—Cyndi Lauper's Girls Just Wanna Have Fun moves up the charts. In his early teens, Ricky Martin begins his five-year stint with Menudo. Madonna releases her debut album; the single Holiday becomes a hit.
1985—Michael Jackson releases Thriller and the video becomes a classic.
1989—Britney Spears makes her musical television debut as an 8-year-old child on Star Search.
1990—Grunge rock rises in Seattle, featuring bands such as Nirvana and Pearl Jam.

Answers

Answer:

yes

Step-by-step explanation:

What is the formula for the area of a square?

Answers

Answer:

Area of a square = side times side. Since each side of a square is the same, it can simply be the length of one side squared. If a square has one side of 4 inches, the area would be 4 inches times 4 inches, or 16 square inches. (Square inches can also be written in2.)

Answer:

lxwxtor you can up it in the calculator

At the end of summer clearance sale Nathan sees a hat market at 65% off the original price was $12.98 after the discount what is the final price of the hat round your answer to the nearest cent

Answers

Answer:

$4.54

Step-by-step explanation:

Because if you take $12.98 and multiply that by 65% you will get 8.437 and when you subtract that by the original amount you will get $4.54.

si el dominio de la función f(x)= 3x-2 es el conjunto {1,2,3} y su contradominio es el conjunto {1,4,7,10}. ¿Cuál es el rango de la función?

Answers

Answer:

I don't speak Spanish sorry

True or False 2 is a root of x^6-9x^4+24x^2-16=0 two times

Answers

Answer:

True

Step-by-step explanation:

No need for explanation

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