Find Sin x and Tan x if Cos x=2/3 and Cot x >0. Evaluate without using calculator.​

Answers

Answer 1

[tex]\sqrt5[/tex]Answer:

Sin^2 x + Cos^2 x = 1

Sin^2 x = 1 - 4 / 9 = 5 / 9

Sin x = [tex]\sqrt5[/tex]  / 3

Tan x = Sin x / Cos x = ([tex]\sqrt5[/tex]  / 3) /  (2 / 3) =  [tex]\sqrt5[/tex]  / 2


Related Questions

four pumpkins weigh 26 pounds altogether. Pumkin one weighs four less than three times the weight of Pumkin threee. Pumkin four weighs twice as much as pumkin One. Pumpkin Two weighs five more pounds than Pumkin three. What does each pumpkin weigh

Answers

Answer:

5, 8, 3, 10 lbs.

Step-by-step explanation:

We can solve this using a system of equations! We will call pumpkins [tex]a, b, c, d[/tex].

Our equations are thus:

[tex]a + b + c + d = 26[/tex]

[tex]a = 3c - 4[/tex]

[tex]d = 2a[/tex]

[tex]b = c + 5[/tex]

So now we just need to solve this system of equations.

We can start by solving for the value of pumpkin [tex]c[/tex] and go from there. So first we substitute some equations around.

First we write out pumpkin [tex]d[/tex] in terms of [tex]a[/tex].

[tex]d = 2a = 2(3c - 4) = 6c - 8[/tex]

And now we put the three equations into the first equation:

[tex]a + b + c + d = 26\\(3c-4)+(c+5)+(c)+(6c-8)=26[/tex]

Then we simplify to get:

[tex]11 c - 7 = 26[/tex]

[tex]11c = 33\\c = 3[/tex]

So we know pumpkin [tex]c[/tex] weighs 3 pounds.

Then we use the equations from before to get the value of the other pumpkins:

[tex]a = 3c-4 = (3*3)-4=9-4=5\\d = 2a = 2*5=10\\b = c + 5 = 3 + 5 = 8[/tex]

And we can check our results by putting into first equation:

[tex]5+8+3+10=26[/tex]

So it works out!

Thus our pumpkins weigh 5, 8, 3, 10 lbs each.

Which is the best approximate solution of the system of linear equations y=1.5x -1 and y=1

Answers

Answer:

(1 1/3, 1)

Step-by-step explanation:

1.5x-1=1

1.5x=2

x=1 1/3

y=1

(1 1/3, 1)

find the measures of arc FBD

Answers

Answer:

Option (4)

Step-by-step explanation:

[tex]m(\widehat{FC})[/tex] = 180° [FC is the diameter]

[tex]m(\widehat{FC})=m(\widehat{FB})+m(\widehat{BC})[/tex]

180° = 125° + [tex]m(\widehat{BC})[/tex]

[tex]m(\widehat{BC})=180-125[/tex] = 55°

[tex]m(\widehat{FBD})=360-m(\widehat{FED})[/tex]

               [tex]=360-[m(\widehat{FE})+m(\widehat{ED})][/tex]

               [tex]=360-[m(\widehat{BC})+m(\widehat{ED})][/tex] [Since [tex]m(\widehat{FE})=m(\widehat{BC})[/tex] arcs created by vertical angles]

               [tex]=360-(55+56)[/tex]

               = 249°

Therefore, Option (4) will be the answer.

what is 5 - 5???
idk what that is please help im crying

Answers

Answer:

it is 0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

5-5=?

?=5-5

?=0

PLS RATE BRAINIEST!

Please help hurry!! This is due in 30 minutes and I need help with domain and range.

Answers

min = -infinity
max = infinity
domain = x ≠ 1
range = y ≠ 0
function = 1/x (rational function)
line of symmetry = none
continuous = yes
x-intercepts = none
y-intercepts = (0,-1)

The value of the 5 in the number 594,631 is how many times larger than the value of the 5 in the number 859,463?

Answers

Answer:

1/10 times larger than 859,463

Step-by-step explanation:

The 5 is one digit behind the first number. And 500,000 × 1/10 = 50,000, which 50,000 is 1/10 smaller than 500,000.

what are the measures of angles a,b,c ?

Answers

Answer:

a=30 ,  b=60,  c=105

Step-by-step explanation:

a=30 [Being vertically opposite angle]

Now,

      a+b+90=180 [Being the sum of interior angles of a triangle]

or, 30+b+90=180

or, b+120=180

or, b=180-120

so, b= 60

Again,

     c+75= 180 [Being linear pair]

or, c=180-75

so, c= 105

Select the choice that translates the following verbal phrase correctly to an algebraic expression: (5 points)

4 more than x

Answers

Answer:

x+4

You're just adding 4 to x

240 in a ratio of 3:5?

Answers

ANSWER: let the ratios are 3x and 5x
therefore,3x+5x=240
8x=240
x=30
so,3x=3×30=90
5x=5×30=150
so,we divide 240 in 90 and 150 to get ratio 3:5

The number who needs to be made into a ratio = 240

Total number of parts = 3 + 5

= 8 parts

Each part = 240 ÷ 8

= 30

Then three parts = 30 × 3 = 90

Five parts = 30 × 5 = 150

Then , the ratio will be = 90 : 150

Therefore , 240 in a ratio of 3 : 5 = 90 : 150 .

For the function, f(x)=1/4x-2, find x if f(x)=-1

Answers

f(x) = 1/4x-3

When f(x) = -1,

= 1/4(-1)-3

= -13/4

Answer

-2.25

Step-by-step explanation:

(1/-4) -2= (1/-4)- 2^4= -9/4= -2.25

Solve the inequality: -2x>-6

Answers

Answer:

x < 3

Step-by-step explanation:

Divide both sides by -2

x < -6/-2

Two negatives equals a positive

x < 6/2

Simplify 6/2 to 3

x < 3

Hope this helps!

-Jerc

The value of a stock over a 12 year period form 2003 to 2015 is shown in the line graph. Which statement is not supported by the graph?

Answers

The correct answer is the last one listed: the statement not supported by the graph is that a stock purchased in 2006 has not yet recovered the losses from 2008. That is not true.

Answer:

an individual who invested in the market in 2006  has yet to regain the losses incurred in 2008

Step-by-step explanation:

True or false the ordered pair (3,28) is a solution to the equation 3x-2y=-8

Answers

Answer:

true.................................

Solve the equation 3(x+1 )-2=x+5

Answers

Answer:

x=2

Step-by-step explanation:

first, let's distribute.

3(x+1)-2=x+5

3x+3-2=x+5

then, let's combine like terms.

3x+1=x+5

now, we subtract x on both sides.

2x+1=5

subtract 1 on both sides.

2x=4

divide by 2 on both sides.

x=2

The answer to the equation is x=2
Here’s how:

Find an equation of the circle that has center (-6, 4) and passes through (4, -5).

Answers

Answer:

waala kang jowa sabi ko

3x-29=6x-7 what is x

Answers

Answer:

Step-by-step explanation:

You want to get x on one side and the constants on the other. First subtract both sides by 3x to get:

-29 = 3x - 7

Now add 7 to both sides to get:

-22 = 3x

Divide each side by 3 to get:

x = -22/3

3x-29=6x-7
-6. -6
-3x-29=-7
+29 +29
-3x=22
x=-22/3

answer pls , pls dont answer for points , ill report if u do ( btw will mark brainlest if right )

Answers

Answer:

Step-by-step explanation:

First you would find what the difference is between the school enrollment

you would do 1456 - 1234 =  222

Then you would divide 1234/1456 = 84.75% to see the total percentage

The increase however has a percentage of .18%

To check your work you would do .18 x 1234 = 222.12 ( round to the nearest whole number so it would just be 222) then add 1234+ 222 = 1456!

Answer:

you must hvae did it im so srry

Step-by-step explanation:

i never get brainlist so thanks anyways..... :(

Answer below
5*____= 1

Answers

Answer:

1

Step-by-step explanation:

just keep the first number and flip the sign and it would be 1 i think idrk

Hello.. Find an angle between 0 and 2pi (in decimal form) that is coterminal with the given angle.
a. 13pi/5
b. -13pi/3
c. 57pi/2
d. 11pi/7

I know the answer to the first one is 1.88495559215. However, following the formula I was given by my teacher gives me decimals that are higher than the decimal for 2pi or lower than 0, so the other questions keep being wrong. Can someone please help?? I have no idea what to do.

Answers

9514 1404 393

Answer:

  a. 1.88495559215 radians

  b. 5.23598775598 radians

  c. 1.57079632679 radians

  d. 4.93678845564 radians

Step-by-step explanation:

You want the coefficient of pi to be between 0 and 2. That is, you want its value modulo 2--the remainder from division by 2.

  a. 13/5 = 2.6; 2.6 mod 2 = 0.6. 0.6π ≈ 1.88495559215 (as you know)

  b. -13/3 = -4 1/3; -4 1/3 mod 2 = 1 2/3*. 5/3π ≈ 5.23598775598

  c. 57/2 = 28.5; 28.5 mod 2 = 0.5. 0.5π ≈ 1.57079632679

  d. 11/7 = 1 4/7. 11/7π ≈ 4.93678845564

All angles are in radians.

__

* My calculator gives the value of -4 1/3 mod 2 as -1/3. We want the positive value, so must add 2 to this. The attachment shows Desmos is smarter than my calculator.

How do you do this question?

Answers

4 Answers: A, C, E, and F

================================================

Explanation:

Choice A is true assuming we have [tex]a_n = (-1)^n*b_n[/tex]

In this case, [tex]a_n = (-1)^n*\frac{1}{\sqrt{n}}[/tex] and [tex]b_n = \frac{1}{\sqrt{n}}[/tex]

--------

Choice B is false. See choice A above.

--------

Choice C is true. The sequence [tex]\{b_n\}[/tex] is decreasing. As n gets larger, [tex]b_n[/tex] gets smaller. This is because the denominator is growing larger with the numerator held constant.

--------

Choice D is false. This contradicts choice C.

--------

Choice E is true since the denominator is growing forever

This is similar to  [tex]\displaystyle \lim_{n \to \infty} \frac{1}{n} = 0[/tex]

--------

Choice F is true due to choices C and E being true.  

--------

Choice G is false because it contradicts choice F.

At a local festival, general admission was $3 for students and $5 for adults. 331 people came to the festival and they sold a total of $1431 tickets. How many students came to the festival?

Answers

Answer:112

Step-by-step explanation:

I did it and we doing the same test rn haha. What did you get for the grant one?

If -2 + v = 16, then v = 14

Answers

Answer: deduction???

-------------------------------

Answer:

That is incorrect.

Step-by-step explanation:

-2+v=16

+2     +2

v=18

v will not equal 14; it will equal 18

PLEASE HELP, WILL GIVE BRAINLIEST! Which descriptions can describe more than one triangle? Select two options.
side lengths of 6 ft, 8 ft, and 10 ft
angle measurements of 35 degrees, 35 degrees, and 110 degrees
angle measurements of 30 degrees, 40 degrees, and 50 degrees
angle measurements of 40 degrees, 60 degrees, and 80 degrees
side lengths of 4 cm, 6 cm, and 9 cm

Answers

Answer:

B and D

Step-by-step explanation:

i got it right :D

2, 4/3, 8/9, 16/27 whats next ?

Answers

Answer:

32/81

Step-by-step explanation: multiply the numerator by 2 and the denominator by 3.

Answer:

  32/81

Step-by-step explanation:

Each term in the sequence is 2/3 of the previous one. Following that same pattern, the next term is 2/3 of the last one.

  16/27 × 2/3 = 32/81

Which of the following is a point on the graph of y-7=3(x-5)

Answers

Answer: (5, 7)

Explanation: The formula for point slope form is,

y2 - y1 = m (x2 - x1)

When you look at the values that have been substituted in, you can see the the x value is 5 and the y value is 7.

When you look at the formula, you can se

After going trick-or-treating, Jeremy is trying to
figure out how many houses he visited. Jeremy knows
he started with 9 pieces of candy in his bag and
averaged 2 candies per house. If Jeremy has 71
pieces of candy, how many houses did he visit?

Answers

He visited 31 house
Answer: 31
Please mark as brainliest!! :)

match each retirement planes to it's description​

Answers

Answer:

1. 401(k)

2. IRA

3. 403(b)

Step-by-step explanation:

1. 401(k) is a employer-sponsored defined-contribution pension account

2. IRA stands for individual retirement account (hence individual)

3. 403(b) is a tax-advantaged retirement savings plan

hope this helps!!

Answer:

1.401k

2.425k

3.740k

Step-by-step explanation:

hehe naisip ko lang haha

6
Ms. Banks walks at about 3 feet per second. How many miles per day could she travel.if she walked without
taking a break?
1
0.81 miles per day
16.36 miles per day
49.09 miles per day
2.04 miles per day

Answers

Answer:

49.09 miles per day

Step-by-step explanation:

There are 5,280 feet in one mile.

There are 60 seconds in one minute.

3 * 60 = 180 feet per minute

There are 60 minutes in one hour.

180 * 60 = 10,800 feet in one hour.

There are 24 hours in one day.

10,800 * 24 = 259,200 feet per day.

Divide to find how many miles she can walk.

259,200 / 5,280 = 49.09 miles

Best of Luck!

Graph the image of the given triangle after the transformation that has the rule (x, y)→(x−5, y+6). Select the Polygon tool. Then, click the points of the triangle vertices to create the triangle by connecting the sides.

Answers

Answer:

Step-by-step explanation:

Transformation involves changing the position of a shape in the coordinate.

See attachment for the image of the triangle

Assume the triangle is triangle ABC.

The coordinates of ABC are:

[tex]\mathbf{A = (-1,-4)}[/tex]

[tex]\mathbf{B = (-2,-7)}[/tex]

[tex]\mathbf{C = (5,-6)}[/tex]

The transformation rule is given as:

[tex]\mathbf{(x,y) \to (x -5,y+6)}[/tex]

So, we have:

[tex]\mathbf{A' = (-1 -5,-4+6)}[/tex]

[tex]\mathbf{A' = (-6,2)}[/tex]

[tex]\mathbf{B' = (-2 -5,-7+6)}[/tex]

[tex]\mathbf{B' = (-7,-1)}[/tex]

[tex]\mathbf{C' = (5 -5,-6+6)}[/tex]

[tex]\mathbf{C' = (0,0)}[/tex]

So, the coordinates of the new triangle would be:

[tex]\mathbf{A' = (-6,2)}[/tex]

[tex]\mathbf{B' = (-7,-1)}[/tex]

[tex]\mathbf{C' = (0,0)}[/tex]

See attachment for the image of ABC

Read more about transformations at:

https://brainly.com/question/12463306

I need to see how you solve this problem.

Answers

How you solve this problem

Answer:

What is the problem?

Pls follow me!

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