If cosθ=3/5, find tanθ

Answers

Answer 1

Answer and step-by-step explanation:

cos = adj/hyp (in a right triangle)

cos0 = 3/5

adj = 3

hyp = 5

opp = sqrt( 5^2 - 3^2) = sqrt( 25-9) = sqrt(16) = 4 (Pythogorean theorem)

tan0 = opp/adj = 4/3

Answer 2

Answer:

[tex]\boxed {\boxed {\sf tan( \theta)=4/3}}[/tex]

Step-by-step explanation:

Cosine is equal to adjacent over hypotenuse.

cos(x)=adjacent/hypotenuse

We are given: cosθ=3/5

Therefore, the adjacent is 3 and the hypotenuse is 5.

We want to find tanθ. Tangent is equal to opposite over adjacent.

We need to find the other leg of the triangle, which is the "opposite". Use Pythagorean Theorem.

[tex]a^2+b^2=c^2[/tex]

The hypotenuse (c) is 5.

[tex]a^2+b^2=5^2[/tex]

One leg (a) is 3, the other (b) is unknown.

[tex]3^2+b^2=5^2[/tex]

Evaluate all the exponents.

[tex]9+b^2=25[/tex]

Subtract 9 from both sides of the equation.

[tex]9-9+b^2=25-9[/tex]

[tex]b^2=16[/tex]

Take the square root of both sides.

[tex]\sqrt{b^2} =\sqrt{16}[/tex]

[tex]b=4[/tex]

Now we know the "opposite" is 4. We can find the tangent now.

[tex]tan(x)=opposite/adjacent[/tex] (opposite=4, adjacent=3)

[tex]tan( \theta)=4/3[/tex]

The tangent of theta is 4/3

If Cos=3/5, Find Tan

Related Questions

If you can answer this it would help me out so much!
A certain quadratic function has the factors (x + 3) and (2x - 1). What are the solutions of the function?
A- (0,3) and (0, -1)
B- (-1,0) and (3,0)
C- (6,0) and (-3,0)
D- (0,1/2) and (0, -3)

Answers

x + 3 = 0
2x - 1 = 0
It would be D.

Answer:

Thx for my points back that you stole

Step-by-step explanation:


For a hypothesis test of the claim that the mean amount of sleep for adults is less than 6 hours, technology output shows that the hypothesis test has power of 0.4013 of supporting the claim that 6 hours of sloep when the actual population
mean is 4.5 hours of sleep. Interpret this value of the power, then identify the value of B and interpret that value
Interpret this value of the powers

Answers

Answer:

b

Step-by-step explanation:

What is the measure of angle G? Type only the number:

Answers

Answer: 48

Step-by-step explanation:

total of all the degrees of the angles of the triangle is ALWAYS 180

let the measure of angle G be x

180 = 102+30+x

180 = 132+x

x = 48

The measure of the angle is 44 times greater than its supplement.
What is the measure of the​ supplement?

Answers

Answer: The measure of it's supplement is 4°

Step-by-step explanation:

If an angle is 44 times is supplement, then we can represent it by the equation   x = 44y    where  x is the angle and y is it's supplement.

Supplementary angles add up to 180 degrees, meaning that  x + y = 180.

  x = 44y  

x + y = 180  

Using both equations substitute the value for x in the first equation, into the second equation and solve for y.

 

44y + y = 180           Combine like terms on the left side

   45y = 180        Divide both sides   45

 y = 4  

This means the measure of it's supplement is 4 degrees.

Now input 4 into one of the equations for  y and solve for x to find the main angle.

x = 44(4)

x = 176  

This also means that the angle itself is 176 degrees.

The measure of the supplementary angle is 4°.

It is given that the measure of the angle is 44 times greater than its supplement.

We have to find out the measure of the supplement.

What are supplementary angles ?

Two angles are said to be supplementary angles if the sum of two angles is 180°.

As per the question ;

The measure of the angle is 44 times greater than its supplement.

Let's assume the supplementary angle is x .

So,

The other angle will be 44 × x .

We know that sum of two angles if they are supplementary is 180°.

x + 44 x = 180 °

⇒ 45 x = 180°

⇒ x = 180 ÷ 45

x = 4°

And the other angle will be ;

= 44 × 4

= 176°

Thus , the measure of the supplementary angle is 4°.

To learn more about supplementary angles click here ;

https://brainly.com/question/26760105

#SPJ2

84 y is directly proportional to x. Given that y = 144 and x = 12. Find the value of y when x = 7.

Answers

84y = k x X
84 x 144 = 12,096
12,096 = k x 12 Divide by 12 each side
1,008 = k
84 y = 1,008 x 7
84y = 7056 divide by 84 each side

Y = 84

If Paul’s savings are 25% more than Janet’s savings,
What percentage of Paul
savings are Janet’s savings

(A) 25 %
(B). 50%
(C) 75%
(D) 80%

Answers

How much is Janet saving tho?
how much savings does Janet have?

I need help again please help me with this question

Answers

Answer:

The size of a sundae and the amount of calories it contains.

Step-by-step explanation:

The answer choice is the only one with a positive correlation, because it is the only one that isn't depleting or going down in size. No matter if you eat the sundae or what size it becomes, the calories it contains will still be the same for the whole amount.

When a car travels, gas is used and it depletes. As a snowball does when it melts. And "the temperature on Tuesday" has no correlation involved at all

y= p2 + qr write p in terms of y, q and r

Answers

Step-by-step explanation:

y=p²+qr

y-qr=p²

p=√y-qr

now, is it fine..

The selling price of a watch is rs 220. If 10% profit has been included in the marked price of the watch, what is the marked price??​

Answers

Answer:

22 is 10 of 220

Step-by-step explanation:

hope it help

f(x) = 72-12x what is the domain and range

Answers

Answer:

The domain is x and the range is f(x)

Step-by-step explanation:

See attachment for answer:

Explanation:

Is undefined in other words “do not exist”



Help me please. Thanks

Answers

Answer:

ç sir kasi multiplication gamitinnnyan

Answer:

A

Step-by-step explanation:

Find the area of the square

Area = s^2

s = 8

Area = 64 square feet.

Find the area of 1 circle.

r = d / 2

r = 4 / 2

r = 2

Area of 1 circle = pi r^2

Area of 1 circle = 3.14 * 2^2

Area of 1 circle = 12.56

Area of 4 circles

Area of 4 circles = 4 * 12.56

Area of 4 circles = 50.24

Area of unshaded area

Area of unshaded area = area square - area 4 circles.

Area of unshaded area = 64 - 50.24

Area of unshaded area = 13.76

$120 less than half of d dollars

Answers

Answer:

[tex]\frac{d}{2} - 120[/tex]

Step-by-step explanation:

You work backwards:

Half of d dollars is d/2. Then you take 120 less than that, which means you are subtracting.

Answer:

1/2d-120

Step-by-step explanation:

Alright.

d=amount of money

1/2d=half of the amount of money

1/2d-120=half of the money minus 120

4) On a 75-question multiple choice test, Niran answered 64 questions correctly. What was his percentage score?

Answers

I believe that his percentage was 85%

8y-2x=-72 in slope form

Answers

Answer:

y=1/4x-9

Step-by-step explanation:

Slope-intercept form is y=mx+b.

8y-2x=-72

Add 2x to both sides

8y=2x-72

Divide both sides by 8.

y=1/4x-9

HTH :)

Solve the inequality 2 (x - 2) +8.6 < 14.​

Answers

Answer:

x<4.7

Step-by-step explanation:

2(x-2)+8.6<14

2x-4+8.6<14

2x=4.6<14

2x<14-4.6

2x<9.4

_____

x<4.7

                                mom said its my turn to be brainliest answer ;0

                                also, help me on my math hw maybe ?

Answer: x < 4.7

Step-by-step explanation:

Eddie is reading a novel for English class. He has read 168 out of 480 pages. What percent of the book has he read?

Answers

Answer:

0.35%

Step-by-step explanation:

29.9.2+ n+ 8.4 = 20.8
Please help

Answers

Answer:

n=6.42

Step-by-step explanation:

Following the steps for this equation.

Answer:

29.9.2+

Step-by-step explanation:

That should be right

Solve for e
7 = 15 - 2e
e equals....

Answers

Answer:

e=4

Step-by-step explanation:

Sam wrote his bike 2/5 of a mile and walked another 3/4 of a mile how far did he travel?

Answers

Answer:

1.15 miles

Step-by-step explanation:

Answer:

24/20

Step-by-step explanation:

Changed denominator to 20 since 4 and 5  both go into 20. Got 8/20 and 15/20. Added and got 24/20. As a mixed number it is 1  1/5/ Hope this helps!

Consider a limousine that gets m(v)= (120 - 2v) / 5 miles per gallon at speed v , whose chauffeur is paid $15/hour, and gas costs $3.5/gallon.

a. Write the function that finds the cost per mile at speed v
b. What speed results in the most inexpensive driving speed?

Answers

Answer:

(17.5 / 120 - 2v) + (15 / v)

Step-by-step explanation:

Given : m(v)= (120 - 2v) / 5 miles per gallon at speed v ,

chauffeur is paid $15/hour

gas cost = $3.5/gallon.

Gasoline cost per mile :

Cost per gallon = $3.5

Cost per gallon * 1/(m(v))

$3.5 * 1 / (120 - 2v) / 5

$3.5 * 5 / 120 - 2 v

= 17.5 / 120 - 2v

Time = distance / speed

Chauffeur cost = 15 per hour / v

Hence ;

Total cost :

Cost of gasoline + Cost of chauffeur

(17.5 / 120 - 2v) + (15 / v)

Answer would be - (17.5 / 120 - 2v) + (15 / v)

First Given : m(v)= (120 - 2v) / 5 miles per gallon at speed v , The chauffeur is paid $15/hour. Then gas cost = $3.5/gallon. Gasoline cost per mile : Cost per gallon = $3.5 Cost per gallon * 1/(m(v)) When, $3.5 * 1 / (120 - 2v) / 5 $3.5 * 5 / 120 - 2 v

           Then result will be = 17.5 / 120 - 2v

        Time = distance / speed Chauffeur cost = 15 per hour / v

Hence ;

The total cost will be :  Cost of gasoline + Cost of chauffeur

(17.5 / 120 - 2v) + (15 / v)

Learn more about

https://brainly.com/question/1499535

why was mom now saying that Augie did not have to go to school​

Answers

Answer:

Is there suppose to be a picture?

Step-by-step explanation:

Answer:

Because she liked Augle more than the other child

Step-by-step explanation:

She didn't want him to go to school so that she could spend the day with her favorite child

∠1 and ∠2 are vertical angles. If m∠2 = 124°, find the measure of the supplement of ∠1 plzzz i need help

Answers

Answer:

∠1 = 124 degrees

Step-by-step explanation:

Vertical angles are always congruent

So ∠1  = ∠2

Answer:

Supplement of m∠1 = 56°

Step-by-step explanation:

Since both angles are vertical, they both equal to each other.

m∠2 = m∠1

        = 124°

To find the supplement of m∠1, we need to remember that supplementary angles add up to 180°.

Supplement of m∠1 = 180°-124°

                                 = 56°

An apple tree can grow about 400 apples. Jake says that 13 apple trees can grow about​ 6,000 apples. Do you​ agree? Explain.

Answer: No. Since 13×400=5,200​, 13 apple trees can grow about 5,200 apples.​ Jake's estimate of​ 6,000 is much higher than 5,200.

Answers

Answer:

you answered it

Step-by-step explanation:

you put no blah blah blah

How many elements are in this equation:Mg2N3? ​

Answers

Answer:

there are 2 Magnesium and Nitrogen

Step-by-step explanation:

Michael buys pants from a clothing company for $70 dollars. He then sells each pair of pants in his clothing shop at a 40% markup. How much is the markup on the pants?

Answers

Answer:

$98

Step-by-step explanation:

70 is the original price, but the mark up is 40%. So, 40% of 70 is 28

$70 + $28 = $98

The hypotenuse is always the __________ side of a right triangle.

Answers

Answer:

the answer is opposite

What is the sum of 347+645=

Answers

Answer:

347 + 645 = 992

Step-by-step explanation:

 347

+645

 922

A person begins with $1500 in her savings account. She deposits $40 per month. Let N represent the number of months she has the account. Let A represent the amount in dollars in the account

Answers

Answer:

1500+40N=A

Step-by-step explanation:

40 per month (N) plus the initial amount = $ in account (A)

will someone plz do this question​

Answers

Answer:

the answer is a your welcome

What is the slope and the y- intercept of the line on the graph

Answers

Answer:

its c for sure, its obvious

I believe it’s the first one if not then I’m sorry
Other Questions
The image below shows the parts of the pair of similar triangles that we've solved for so far in the video. What is the length of side AB? Water makes up about 71% of Earth's surface, while the other 29% consists of continentsand islands. 96% of all Earth's water is contained within the oceans as salt water, while theremaining 4% is fresh water located in lakes, rivers, glaciers, and the polar ice caps.If the total volume of water on Earth is 1,386 million cubic kilometers, what is the volumeof salt water? What is the volume of fresh water? please help If a species lives longer and reproduces more often it is said to have a greaterA.nicheB.fitnessC.carrying capacity D.distribution Examine the diagram.A triangle has angles 2, 4, 3. A line extends past angles 3 and 2 to form exterior angle 1.Name one of the remote interior angles to the exterior angle in the diagram.Angle 1Angle 2Angle 3 Plz help thank you so much! The cost of 4 pounds of bananas is $3.52. What is the constant of proportionality that relates the cost of dollars, y, to the number of pounds of bananas, x? Select all ratios that are in their simplest form.A 25:24 B 19:24 C 23:24 D 11:16 E 27:18 On what occasion do you think the speaker is saying the poem? (Questions for Caged Bird) HELP????!?!?!??!? {PLEASEEEEEEEE Why did Patriot leaders create the Committees of Correspondence? They felt colonists needed new people to write to. They felt that together, colonists could influence British policy affecting them. They thought it would be nice to meet people from other colonies. They wanted to spread the idea of peace on Earth. A frame is marked down by 22 percent from an original price of $14.50. What is the new price?$3.19$11.31$13.72$14.28 PLS HELP ASAPOwners equity includes (______), which is the amount of profits that your business has been able to save over the past few years. Solve the following equation for x. x = -2 x = 2 x = -17 x = -7 (x - 5)/2 = -6 How does an increase in altitude affect the climate? Maya is going to an amusement park. The price of admission into the park is $10, and once she is inside the park, she will have to pay $2 for every ride she rides on. How much money would Maya have to pay in total if she goes on 15 rides? How much would she have to pay if she goes on rr rides? Which of the following people is most likely to be suffering from depression? A. Violet is a very talented and a very competitive tennis player. She loses her temper fast and sulks for days whenever she loses a match. B. Sammy doesn't especially like going to parties or talking on the phone with his friends. He prefers reading in his room and playing with his dog. C. Natalie hasn't made friends at her new school after she moved because her parents got divorced. She spends a lot of time in her room and has trouble studying. A seller (or provider) of goods or services to a business organization is known as a:A Vendor.B Payee.C Vendee.D Creditor.E Debtor. which of the statement is true? Please answer asap! thank you so much.When does the U.S. have the right to restrict people's freedoms? Write an equation in point slope form for the line that passes through each point with the given slope. (you can press on the photo to see more clear)