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

PLEASE HELP IT'S TIMED
Order from least to greatest 0, -1.9, -1 4/5, -1/3, and 0.25

Answers

Answer:

0.25, 4/5, 1/3, 1.9 and you answer mine please

Answer:

-1.9,-1 4/5, -1/3, 0, .25

Step-by-step explanation:

a) ¿Cómo varia el volumen de una piramide en relación a su altura si el área de la base no cambia?​

Answers

Answer:Step-by-step explanation:

Answer:

si cambia su volumen cada vez se pone mas fina la piramide

For each sequence, find the first 4 terms and the 10th term.
a) 3n + 4
b) 4n-5

Answers

Answer:

see explanation

Step-by-step explanation:

To find the first 4 terms substitute n = 1, 2, 3, 4 into the formula, that is

(a)

a₁ = 3(1) + 4 = 3 + 4 = 7

a₂ = 3(2) + 4 = 6 + 4 = 10

a₃ = 3(3) + 4 = 9 + 4 = 13

a₄ = 3(4) + 4 = 12 + 4 = 16

Similarly substitute n = 10 for tenth term

a₁₀ = 3(10) + 4 = 30 + 4 = 34

(b)

a₁ = 4(1) - 5 = 4 - 5 = - 1

a₂ = 4(2) - 5 = 8 - 5 = 3

a₃ = 4(3) - 5 = 12 - 5 = 7

a₄ = 4(4) - 5 = 16 - 5 = 11, and

a₁₀ = 4(10) - 5 = 40 - 5 = 35

To solve for x in the equation x - 4 = 19, which inverse operation would you
apply? *
O add 4 to both sides
subtract 4 from both sides
add 19 to both sides
O subtract 19 from both sides

Answers

add 4 to both sides......
add 4 to both sides :)

PLEASE HELP!! I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS THESE TWO!

Answers

Answer:

Page 1 = D

Page 2 = D

Step-by-step explanation:

Hope that helps!

What is the slope of the line that passes through the points (-5,-6 ) and (5,1)?

Answers

Answer: Slope-intercept form, y=mx+b, of linear equations, emphasizes the slope and the y-intercept of the line.

m(slope)=7/10 or (7,10)

Write the equation of the line given a slope of 0 through the point (5, -7)

Answers

Answer:

y=-7

Step-by-step explanation:

y-y1=m(x-x1)

y-(-7)=0(x-5)

y+7=0

y=0-7=-7

I need help! ASAP! ITS DUE AT 11:59 PM
Estimate too

Estimate:
9 1\4 - 3 2\3. Word Form: Nine and one - fourth minus three and two - thirds

Estimate them too plss! Ill give brainliest!

Answers

Estimated answer: 13
Exact answer: 12 11/12

Answer:

5 7/12

Step-by-step explanation:

Convert 5.5833333333333

× + 2 + 2x + 3 = 4x PLS HELP ME ​

Answers

Answer: 8

Step-by-step explanation:

Answer:

I dont know what your supposed to do but i can tell you that x = 5 because if you simplify the equation you get 3x + 5 = 4x. Using this you can infer that a single x is equivalent to 5 since you need 5 to get from 3x to 4x.

Solve
S = 2πr(h + r) for h

Answers

Answer:

S/2πr-r = h

Step-by-step explanation:

S = 2πr(h + r)

S/2πr = h+r

S/2πr - r = h

✨ Easy points if you know how to do slope well ✨

Answers

Answer:

I believe it's A

Step-by-step explanation:

Answer:

its y=x

Step-by-step explanation:

A dump truck pours sand into a container in the shape of a rectangular prism with a square base of length 2 feet. The height, h, of the sand in the container increases at a rate of approximately 8 inches per minute. Create an equation that models the volume, V, of the sand in the container in terms of h, then use the equation to determine the time at which the volume is 64 cubic feet. Note that the volume of a rectangular prism is V=l×w×h, where l, w, and h are the length, width, and height of the prism.

Answers

Answer:

I think the answer is 24 minutes!

Step-by-step explanation:

I hope this helps!

Answer:6+89

Step-by-step explanation:439+3947+v=90

The harbor at Green Top Lake has a lot of algae. However, as it gets colder, algae starts dying. At the beginning of fall, there 150,000 square feet of algae. Suppose half of the algae dies per month. What is the relationship between time and amount of algae?
discrete or continuous

Answers

Answer:

Discrete.

If it was continuous, probably all the algae would have died.

Discrete

It is the amount of time of an event. Fall is a type of event, which lasts for a period of time.

Tell which property the statement 7(4+a)=7(a+4) illustrates

Answers

Answer:

The commutative or associative property! Hope that helps!

Step-by-step explanation:

In a bouquet of flowers, there are 16 irises and 29 sunflowers. Write the ratio of sunflowers to irises in 3 different way

Answers

Answer:

29:16

29 To 16

29/16

Which set of values makes the inequality 1/4x + 2≥0
A. {-8,-4, 0, 4, 8}
O
B. {-12, -8, 0, 4, 8}
o
C. {-20, -16, -12, 0,4}
D. {-20, -16, 0, 16, 20}

Answers

Answer:

the answe is A.{-8,-4,0,4,8}

1 cm
3 cm
3 cm
1 cm
3 cm
4 cm
Find the surface area of the above solid.

Answers

I thinks its 50 sorry if it’s wrong

The histogram shows the number of hours volunteers worked one week.

What percent of the volunteers worked fewer than 12 hours

Answers

55% worked fewer than 12 hours

What’s the value of a?

Answers

Answer:

a = 69

Step-by-step explanation:

The linear pair equals 180 degrees.

a + 90 + 21 = 180

a + 111 = 180

a = 69

nice!

Answer:

A= 69 degrees

Step-by-step explanation:

if all those angles equal a total of 180 degrees then all you need to do is add the angles your given which in this case is 21 and a 90 degree angle which would equal 111 degrees, then subtract 111 from 180 and that would be the answer to the missing angle, which is 69 degrees.

21 + 90 = 111

180- 111 = 69

A store bought 250 toys at a cost of ​$24 each. The store sold all the toys at a percent markup of 60 percent. Find the total selling price​

Answers

Hellooo my friend your I need I need point sorry point sorry I need point sorry

14 4/9+ 25 1/6+ 7 11/18=

Answers

Answer:

47 2/9

hope this help :)

Answer:

47 2/9

Step-by-step explanation:

( 14 + 25 + 7) + ( 4/9 + 1/6 + 11/18)

46 + 11/9

46 + 1 2/9

47 2/9

"Sophia and Rebecca's conversations only."

Answers

Answer:

Step-by-step explanation:

Yes

Sophia and Rebbecass conversation

The domain of y = cot x is all real numbers such that _______.

Answers

Answer:

Step-by-step explanation:

x≠ n*π, where n is an integer

because x/π can not be an integer

Any consecutive sides of a parallelogram are parallel.

A. Always True
B. Sometimes True
C. Never true

Answers

It’s always true cuz a parallelogram is parallel

ANSWER:Any consecutive sides of a parallelogram are parallel?

A. Always True is your answer.

What is the ratio of purple cylinders to total cylinders, there are 7 purple and 1 yellow.

Answers

Answer:

7:8

Step-by-step explanation:

There are 7 purple cylinders. There are 8 total cylinders (7 purple and 1 yellow). So the ratio is 7:8

What is the positive solution to the equation 3x2 + 31 = 912
A 10.95
B 8.51
8.36
D 7.75
E 4.47

Answers

Answer:

E) 4.47

Step-by-step explanation:

3x²+31=91

3x²=91-31

3x²=60

x²=60÷3

x²=20

x=√20

x=4.47

Answer:

4.47

Step-by-step explanation:

the only rational answer for this is 4.47 because once you solve as much as you can, you should end up with a whole number multiplied by a square root. the decimal form of that  number is 4.47

1.2. Tim bought 128 sandbags to completely fill a cube-shaped sandbox. Each bag fills a cubic foot in the sandbox. What is the length, in feet, of one of the sides of the sandbox?
A. √128
B. 3√128
c. 128^2
D. 128^3​

Answers

Answer:

b

Step-by-step explanation:

Answer:

I think the answer is c.

Step-by-step explanation:

hope this helps

A sprinkler system uses 800 gallons of water in 5 days. The system uses ___ gallons of water in 1 day

Answers

Answer:

160

Step-by-step explanation:

800 gallons in 5 days. The days is the denominator and the gallons are the numerator, whatever you do the the bottom you do to the top, so you divide the denominator by 5 and the numerator by 5 and you get 160 gallons per day. If you want to know how your answer is right, multiply 160 by 5

A sports drink bottle contains 16.9 fluid Ounces. Andre drank 80% of the
bottle. How many fluid Ounces did Andre drink?

Answers

Answer:

13.52 fluid ounces should be the right answer! :)

Step-by-step explanation:

Andre drank from the bottle 13.52 fluid ounces if he drank 80% of bottle.

What is Percentage?

Percentage is defined as the parts of a number in a whole of 100. This is denoted by the symbol '%'.

In other words, percentage can be defined as the ratio expressed as a fraction of 100.

Any number can be expressed as a percentage of another number by dividing the number with the whole of other number and then multiplying with 100.

Given that, fluid contained in a sports bottle = 16.9 fluid ounces.

Andre drank 80% of the fluid contained in the bottle.

80% of the bottle = 80% × 16.9

                             = (80 / 100) × 16.9

                             = 0.8 × 16.9

                             = 13.52

So this is the total fluid ounces Andre drink.

Hence Andre drank 13.52 fluid ounces from the bottle.

To learn more about Percentage, click on the link given below :

https://brainly.com/question/29306119

#SPJ2


8. Standard to Slope Intercept Form
Put the following equation of a line into slope-intercept
form, simplifying all fractions.
6x + 15y = -15

Answers

Answer:

-2/5-1

Step-by-step explanation:

6x+15y=(-15)

subtract both sides by (-6x)

now the equations becomes: 15y=(-6x)-15

divide both sides by 15, since -6 cannot evenly we just leave it as a fraction

Equation becomes y= -6/15x-1

Then simplify it down to y= -2/5x-1

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