Solve these equations: tan^2x-3tanx+2=0

Answers

Answer 1
Let u be the value of tan(x) and that the equation above may also be written as,
u² - 3u + 2 = 0
The equation can be factored as follows,
(u - 1)(u - 2) = 0
u - 1 = 0 ; u = 1 and u - 2 = 0 ; u = 2
Thus, tangent(x) = 1 and tangent(x) = 2. The values of x are 45° and 63.43°.

Related Questions

What is the equation of the line?

Answers

Answer:

y = 4

Step-by-step explanation:

Question 5 (1 point)
Find the volume of the figure below. Leave in terms of TT for answers that contain T. Round your answer to the nearest hundrednth if
necessary
7 ft
8 ft
10 ft
Оа
214.21 ft3
Ob
186.67 ft?
Ос
115.78 ft?
Od
560 ft3

Answers

Answer:

The volume of the shape is 560 ft^3

Step-by-step explanation:

To find the volume of the figure, we need to multiply the base area by the height of the figure

mathematically, we have the base area as a rectangular shape and its area is the product of its side lengths

We have this as 8 ft * 10 ft = 80 ft^2

So multiplying this by the height which is 7 ft, we have this as;

7 ft * 80 ft^2 = 560 ft^3

There is a classic game called “Rock, Paper, Scissors.” Two people play by counting to 3 together, then making a hand gesture to resemble paper (hand flat, palm down), rock (fist), or scissors (two fingers extended).
• When paper and rock are shown, paper wins the round.
• When paper and scissors are shown, scissors wins the round.
• When rock and scissors are shown, rock wins the round.
• When both players show the same thing, the round is a tie.





Using the site: Rock, Paper, Scissors to play Rock, Paper, Scissors. You will scroll down until you see the hand. Then click on Generate to begin game.

Play 3 rounds of 10, using the same gesture for each round. Record what gesture was used by you, the gesture used by the computer, and the result.

Round 1:
My Option: Rock

Computer Scissors Paper Scissors Scissors Rock Scissors Scissors Rock Rock
Winner? Win Lost Win Win Tie Win Win Tie Tie

Round 2:
My Option: Paper

Computer Scissors Paper Scissors Rock Rock Rock Paper Rock Rock
Winner? Lost Tie Lost Win Win Win Tie Win Win

Round 3:
My Option: Scissors

Computer Rock Paper Rock Rock Scissors Paper Rock Rock Paper
Winner? Lost Win Lost Lost Tie Win Lost Lost Win




1. Is the event “win the round” dependent on another event? Explain your reasoning.






2. Create a graph of your data. Make sure to label your graph and that the graph is appropriate for the type of data you have.










3. Choose an event that you think might influence the probability of winning, then analyze the data using probability to determine whether the event you chose to study is independent of winning. Provide evidence to support your claim.



Answers

Answer:

Round 1: rock

Round 2: scissors

Round 3: paper

Step-by-step explanation:

YOUR DATA TABLES

Round 1: TIE

Round 2: LOST

Round 3: WIN

David has $520 to spend at a bicycle store for some new gear and biking outfits.
Assume all prices listed include tax.
• He buys a new bicycle for $303.93.
• He buys 4 bicycle reflectors for $10.99 each and a pair of bike gloves for $25.25.
• He plans to spend some or all of the money he has left to buy new biking outfits
for $73.43 each.
Write and solve an inequality which can be used to determine x, the number of
outfits David can purchase while staying within his budget.

Answers

Step-by-step explanation:

after he buys everything he has 170.83 ( total 340.17) 73.43 times x

2 * blank equals 6.5​

Answers

Answer:

3.25 or 3 and 1/4

Step-by-step explanation:

The algebraic equation is 2x = 6.5.

Divide by 2 to get your answer.

6.5 divided by two is 3.25.

x = 3.25

Answer:

3.25

Step-by-step explanation:

just take away the 25 and multiply it that way

Plz give me brainllest

Matthew is choosing between two Internet plans for his smart phone. Plan A costs $18 per month plus $0.05 per minute. Plan B costs $28 per month for unlimited usage. Please help me. Show all steps

Answers

Answer:

I would go with plan b because $0.05 can add up pretty fast and would be more expensive than $28

The middle school swim team scored a total of 181.863 points. Which expression represents this score?
A (1x100) + (8x 10) + (1x1)+(8x1)+(6x 10) +(3x 100)

B (1 x 100) + (8x10)+ (1x1)+ (8x2)+(6x 1/10)+(3x 1/100)

C (1x100) + (8x10)+(1x1) + (ex *)+(6x 100) +(3x 1/1000)

D (1*100)+(8x 10) + (1x1)+(8x 1000)+(ox 100)+(3x o)
o

Answers

Answer: A

Step-by-step explanation:

A follows the tenths, hundreds, and thousandths place correctly

Answer:

A. (1x100) + (8x 10) + (1x1)+(8x1)+(6x 10) +(3x 100)

Step-by-step explanation:

Kira brought chocolate and vanilla cupcakes to school for her birthday. 80 students decided to take a cupcake, and 32 of them picked vanilla. What percentage of the students picked a vanilla cupcake?

Answers

Answer:

40%

Step-by-step explanation:

Percentage of students that picked a vanilla cupcake = (students that picked a vanilla cupcake / total number of students)x 100

(32 / 80) x 100 = 40%

What is the PE of an object that is 15kg that is 5.0 M above the ground?

Answers

Answer:

735 J

Step-by-step explanation:

The potential energy of a body can be found by using the formula

PE = mgh

where

m is the mass

h is the height

g is the acceleration due to gravity which is 9.8 m/s²

From the question we have

PE = 15 × 9.8 × 5

We have the final answer as

735 J

Hope this helps you

PLS HELP ME THIS IS Probability (Single event) PLS HELP ME

Answers

Answer: I would say 50%

Step-by-step explanation: Because there is a 50 50 chance on getting heads or tails.

Answer:

I believe it is a 50% chance because there are only two sides to the coin. 100 divided by two is 50.

Step-by-step explanation:

I'm not sure if that is the way you are supposed to solve it. Sorry if the answer is incorrect.

The image below is a kite. Find the value of x.

Answers

Answer:

x=55.5

Step-by-step explanation:

2x=111

Isolate x by dividing both sides by 111

x=55.5

if 2f(x)-3f(1/x)=x^2 determine f(2)

Answers

-7/4
hope this helped

Need help fast!!!
Use the number line to compare the numbers.
Drag and drop the numbers to place them in increasing order.

Answers

Answer:

the sequence of numbers starting left to right is: -2 -1.6 -1 -1/6 0 3/7 0.6 1 2  

Step-by-step explanation:

Answer:

Ok so -1.6 goes in between -2 and -1.  Then -1/6 goes in between -1 and 0. Then 0.6 goes between 0 and 1. And last 3/7 goes between 1 and 2. 

Step-by-step explanation:

hope this helps you :)

1. Find the area of the parallelogram.

What is the area?

Answers

67.5in is the answer

Answer:

67.5[tex]in^{2}[/tex]

Step-by-step explanation:

Area of a parallelogram is base x height

The base of the given parallelogram is 9 inches and the height is 7.5 inches

So, its area would be

9 x 7.5

Area equals [tex]67.5^{2}[/tex]

A dog and a cat are 200 meters apart when they see each other. The dog can run at a speed of 30 meters per second, while the cat can run at a speed of 24 meters per second. How soon will the cat catch the dog if the cat starts running after the dog?

Answers

Answer:

I think after 1.6 s it Will catch the dog

- You pick a card at random. 1 2 3 4 5 6 7 8 D) What is P(even)? )) Write your answer as a fraction or whole number​

Answers

Answer:

4/8 or reduced 1/2

Step-by-step explanation:

It's 4/8 or reduced as 1/2 because there are 4 even numbers 2, 4, 6, 8

f(-3)=x^2+4

just need help with this

Answers

Step-by-step explanation:

f(-3)=(-3)^2+4

=9+4

=13

hope it helps u dear friend

Answer:

Step-by-step explanation:

Given

f(x) = x² + 4

Now

f(- 3) = (-3)² + 4

       = 9 + 4

       = 13

hope it helps :)

HELP I HAVE 5 MINUETS, DONT GUESS ITS NOT ADDING BTW

Answers

Answer:

63.554

Step-by-step explanation:

V=pir^2h

r=3.4/2

h=7

V=pi(1.7)^2(7)

=63.554

Container A has 200 Liters of water, and is being filled at a rate of 6 liter per minute. Container B has 500 Liters of water, and is being drained at a rate of 6 liters per minute. How many minutes will it take for both containers to have the same amount of water.

Answers

Answer:

25 minutes

Step-by-step explanation:

let x represent total time when both containers to have the same amount of water.

the equation to represent container A = 200 + 6x

the equation to represent container B = 500 - 6x

Because both containers would have the same amount of water,  the two equations would be equal to each other

200 + 6x = 500 - 6x

collect like terms

12x = 300

x = 300/12

x = 25 minutes

3(g + 4) = 9
Need help

Answers

Answer:

g=-1

Step-by-step explanation:

3(g+4)=9

Divide both sides by 3.

g+4=  9/3

Divide 9 by 3 to get 3.

g+4=3

Subtract 4 from both sides.

g=3−4

Subtract 4 from 3 to get −1.

g=−1

Answer:

3(g+4)=9

or, 3(g+4)/3=9/3 [Dividing both sides by 3.]

or, g+4=3

or, g+4-4=3-4 [Subtracting 4 from both sides.]

So, g=-1

help me with this math question gr 8 math please

Answers

Answer:

C = 112, A = 150, D = 30, B = 38

Step-by-step explanation:

I solved C first using:

30+38+c = 180 (angles along a straight line should add up to 180 since a whole circle is 360)

-

I solved A by looking across from C.

Angles on opposite sides should mirror each other but A includes 38* + C

Just by doing 112 + 38 you get 150.

-

I solved D by looking at 30*, alternative interior angles are the same so D is 30*.

-

I solved B by taking C (112) and D (30) and adding them together and subtracting from 180.

Interior angles of a triangle should all add up to 180,

112 + 30 + B = 180

From this I got that B was 38.

Alternatively you can find this out by looking at the 38 degrees, corresponding congruent angles are always the same.

I suggest reviewing this angles sheet if you're ever stuck in the future.

Answer:

C = 112, A = 150, D = 30, B = 38

Step-by-step explanation:

Ms. Robinson has $75 in her bank account and is depositing $15
each week. Ms. LaSpina has $225 in her bank account and is
withdrawing $10 each week. How many weeks will it take for the
bank accounts to have the same amount? What will that amount
be?

Answers

Answer:

It will take 6 weeks

Step-by-step explanation:

Ms. Robinson: 75+15(6)=$160

Ms. LaSpina: 225-60 =$160

Therefore both will take 6 weeks

What is the midpoint between (3,-1)and(7,-5)

Answers

it is (5,-3) hope that helps

I would like help on this math problem please!

Answers

Answer:

4^11

Step-by-step explanation:

[(4^3)(4^4)]÷(4^1+4^-4)

using laws of indices

(4^3)(4^4)=4^(3+4)

=4^7

(4^1 +4^-4)=4^(1-4)

=4^-3

4^7/4^-3,recalling about laws of indices if the exponentials are dividiy ,you subtract the powers give their base is equal

4^7/4^-3=4^(7-(-3)

=4^(7+3)

=4^11

answer asap no wrong answer ~-~

Answers

Answer:

The correct option is (b).

Step-by-step explanation:

Given that,

The radius of the circle, r = 8 cm

The area of the sector, [tex]A=56\pi \ cm^2[/tex]

We need to find the measure of the sentral angle. The formula for the area of a sector is given by :

[tex]A=\dfrac{1}{2} r^2\theta[/tex]

Where

[tex]\theta[/tex] is the central angle

Substitute all the values,

[tex]\theta=\dfrac{2A}{r^2}\\\\\theta=\dfrac{2\times 56\pi }{8^2}\\\\\theta=\dfrac{7\pi}{4}\ rad[/tex]

So, the correct option is (b).

When rolling a number cube, what is the probability of rolling a 2 or an even number. Express your answer as a fraction in lowest terms

Answers

Answer:

https://www.sketchywebsite.net/

Step-by-step explanation:

The square pyramid below represents a tent that Wayne is making. The sides of the tent will be covered in blue fabric, and the base of the tent will be covered in brown fabric. Find the surface area that will be covered in each color of fabric. Enter your answer in the boxes

Answers

Ta furie le Wola t in fatiguer

Deandre wants to earn at least $30 trimming trees. He charges $7 per hour and pays $5 in equipment fees. What are the possible numbers of hours Deandre
could trim trees?
E
Use t for the number of hours.
Write your answer as an inequality solved for t.

Answers

8 hours for the possible numbers of house

Given that f(x) = 3x ^ 3 + x - 1 evaluate the function f(- 2)

Answers

Answer:

-27

Step-by-step explanation:

3(-2)³-2-1 =

3(-8)-3 =

-24-3=-27

Karen buys candy that cost $5 per pound. She will spend more than $35 on candy. What are the possible numbers of pounds she will buy?​

Answers

If I were Karen I’d just take em all and run
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