Mathematics High School

3sin60°+xcos30°.tan45°=xcot30°

Answers

Answer 1

Answer:

x = (6[tex]\sqrt{2}[/tex])/(4[tex]\sqrt{2}[/tex] -3)

Step-by-step explanation:

sin60 degree = [tex]\sqrt{3}[/tex] /2

cos30 degree = 1/2

tan 45 degree =  sin45 degree / cos45 degree = ([tex]\sqrt{2}[/tex]/2)/([tex]\sqrt{2}[/tex] /2) = 1

cot 30 degree = cos30 / sin30 = ([tex]\sqrt{3}[/tex] /2)/(1/2)  = [tex]\sqrt{3}[/tex]

so, let us plug the above values in the given eqution and solve for x

3([tex]\sqrt{3}[/tex] /2 ) + x(1/2) *1 = x([tex]\sqrt{3}[/tex])

3([tex]\sqrt{3}[/tex] /2 )  = x([tex]\sqrt{3}[/tex]) -x(1/2)

3([tex]\sqrt{3}[/tex] /2 )  = x(([tex]\sqrt{3}[/tex])-(1/2)) (by taking x as a common factor)

3([tex]\sqrt{3}[/tex] /2 ) = x(((2[tex]\sqrt{3}[/tex])-(1))/2))    (making the same common denominator

now devide both sides by (((2[tex]\sqrt{3}[/tex])-(1))/2))

x  = 3([tex]\sqrt{3}[/tex] /2 )  / (((2[tex]\sqrt{3}[/tex])-(1))/2))

x = 3([tex]\sqrt{3}[/tex] ) / ((2[tex]\sqrt{3}[/tex])-(1))

Related Questions

25POINTS HELP!!!!!!!!!!!

Answers

If B is 2/5 like I think it is that is the answer because the probability that someone sits in the middle row is 12/30 which is simplified to 2/5

Pauline is making trail mix. She adds 4 cups of almonds, 3 cups of sunflower seeds, and 1 cup of raisins. What is the ratio of cups of raisins to cups of almonds?

Answers

1/4 is the ration of cups of raisins to almonds.
Hope this helps.

Answer:

1/4

i think

this may not be the answer, but it appears correct.

Solve for all values of c in simplest form.
|C – 21 |= 12

Answers

Answer:

33, 9

Step-by-step explanation:

I33-21I=12

I9-21I=

I-12I=12

Every SUM of an absolute value will always be positive!!

Write an equation in point-slope form for the line that passes through the point with the given slope. point: (4,2) and m=3

Answers

Answer:

y = 3x - 10

Step-by-step explanation:

Please can someone help me with these? I'll give brainliest

Answers

Answer:

first one is right then

45 9/10

31 3/5

99 9/10

3 47/50

6 1/4

12 27/50

10 1/10

Step-by-step explanation:

converting slope-intercept form into standard form, i’m so confused

Answers

Answer:

7x+2y=(-6)

Step-by-step explanation:

Please explain...
y=3x^2-5x+1 solve by completing the square

Answers

Answer:

x=5+√136or x=5−√136

Step-by-step explanation:

To solve this equation we have to factorize 3x2−5x+1. Since we can not use any

Edwin has $50.00 in his bank. He starts spending $2.50 each week on snacks at lunch graph it

Answers

Answer: 50.00 - 2.50 each week

Answer:

Step-by-step explanation:

First label the x axis as "Time (Weeks)" and y axis as "money in the bank account". The x axis should go by 1. As in the squares being, 1,2,3, etc. The y axis should go by 5's and end at 50. Plant a dot at coordinates (0,50) and continue by subtracting $2.5 per week. So the next coordinates should be (1, 47.5). In the end, there should be $25 left in the account (after using all of the boxes).

Find the tip:
A $32 meal with a 15% tip
Tip = $ ____​

Answers

Answer:

$4.80

Step-by-step explanation:

$32 × 0.15 = $4.80

The figure shows the dimensions of a city park in feet.

Part A: What is the area of the park?

A.1,088 ft2

B.1,188 ft2

C.1,208 ft2

D.968 ft2

Answers

c ............................
B 1,188 ft2 i think

Which expression is equivalent to 5(x + 7)??????

Answers

Answer:

5x+35

Step-by-step explanation:

the parentheses means that you can multiply the outer number (5) with the inner numbers/variables

5*x=5x

5*7=35

5x+35

Triangle DAN has coordinates D(-10,4), A(-4,1), and N(-2,5) Using coordinate geometry, prove that triangle DAN is a right triangle.

Answers

Answer:

75

Step-by-step explanation:

eeeeeeeeeeeeeeeeeeeeeeeee

help pls alot points pls

Answers

NP would be 41.4. Half of NP is 20.7 so you would multiply by 2 to get 41.4

NM is 24. MP is 26. So you would add 24 and 26 and get 50. NMP is 50.

solve for x and the measures for x=4

Answers

Answer:

Below in bold.

Step-by-step explanation:

The angles on the line AC add up to 180 degrees, so:

11x - 8 + 90 + 6x + 2 + 4x + 12 = 180

21x + 96 = 180

21x = 180 - 96 = 84

x = 84/21

x = 4.

<ABD = 11(4) - 8 = 36 degrees.

<EBF = 6(4) + 2 = 26 degrees.

<CBF =  4(4) + 12 = 28 degrees.

what is 8x > -136??????

Answers

Hope this helps

x > -17

I'm too lazy to do this, so like- anyone wanna do it for me? lol

Answers

Tbh I’m too lazy as well s try lol

Answer:

a

Step-by-step explanation:

its a big fat a

NEED ASAP!!!!!!!!!!!!!!!simply 495/500

Answers

Answer:

0.99

Step-by-step explanation:

99/100 = 0.99
I hope this helps ! :)

An elevator in a tall building starts at a floor of the building that is 102 meters above the ground. The
elevator descends 2 meters every 0.5 seconds for 9 seconds.

Answers

Answer:

An elevator in a tall building starts at a floor of the building that is 102 meters above the ground. The

elevator descends 2 meters every 0.5 seconds

step by step solution

An elevator in a tall building starts at a floor of the building that is 102 meters above the ground. The

elevator descends 2 meters every 0.5 seconds for 9 seconds.

Pls help! I WILL MARK BRAINLIEST IF YOU ARE CORRECT

Answers

The correct answer is C

Use simple interest to find the ending balance
$14,000 at 6% for 9 years​

Answers

Answer:

$21,560.00

Step-by-step explanation:

SI = 14,000 x 0.06 x 9

SI = $7,560

$14,000 + $7,560 = $21,560.00

PLEASE HELP I'M BEING TIMED!!
Yuri triples a number, x, to get a number, y. Which is the graph of Yuri's function?

First One will get Brainliest!!

Answers

Answer:

It will be A

Step-by-step explanation:

Hope this helped you out

answerrrrrrrrr
D.
y=3x

Can I plz have some help with this...?

Answers

Answer:

x=19

Step-by-step explanation:

The sum of the three anagles is 180

(5x+4)+(x-2)+(3x+7)=180

5x+x+3x+4-2+7=180

9x+9=180

9(x+1)=180

x+1=20

x=20-1

x=19

find an Equation for the perpendicular bisector of the line segments whose in points are (8,3) and (2,-7)

Answers

y = -0.600x + 1
(I’m not 100% sure but I think this is it!)

What’s the purchase price??

Answers

Answer:

$18,000

Step-by-step explanation:

Trust me it's right

How much is a new car?

Para que sirven los modelos matemáticos?

Answers

Answer:

Un modelo matemático es una representación simplificada, a través de ecuaciones, funciones o fórmulas matemáticas

Step-by-step explanation:

Un modelo matemático es una descripción de un sistema usando conceptos matemáticos y lenguaje. El proceso de desarrollo de un modelo matemático se denomina modelado matemático. Los modelos matemáticos se utilizan en las disciplinas de las ciencias naturales y la ingeniería, así como en sistemas no físicos como las ciencias sociales.

Please help
What is 5x(1+6x) simplified

Answers

Answer: 35x is the answer

Step-by-step explanation:

5x + 30x

35x

Game Stop has 48 video games to sell. If it sells 1/8 of its games each day. how many days will it take to sell all of the games? ​

Answers

Answer:

8 days to sell all the games

Step-by-step explanation:

;)

Answer:

Infinite

Step-by-step explanation:

Well look at it this way.

It will just a smaller piece of something but never everything. For example 1/8 of 1/100000 is still going to be a number. So, it will never sell all video games. This is a mathematical perspective, not a logical perspective since logically you cant sell a part of a video game.

pleaase please please please please help meeeeeeeee i cant rn please help pleaseeee

Answers

Answer:

x+7

Step-by-step explanation:

A house costs $18,000, which is 9/10 of the cost of a car. A motorcycle costs 1/5 of the cost of the car or 4/5 the cost of 100 basketball balls. How much do you need to pay for 30 basketball balls?

Answers

Answer:

.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Elena and jada are going home. Elena runs at a constant speed of 4 miles per hour, and jada walks at a constant speed of 2 miles per hour. How far will each one be after 1.5
hours

Answers

Answer:

Elena will run 6 miles in 1.5 hours

Jada will walk 3 miles in 1.5 hours

Step-by-step explanation:

Multiply: 4*1.5=6 (Elena's)

Multiply:2*1.5=3  (Jada's)

Elena will run 6 miles in 1.5 hours

Jada will walk 3 miles in 1.5 hours

Hope this helped!! :)

Stay safe and have a wonderful day/night!!!!!

Brainliest?!?!

Please correct me if I'm wrong

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