If y is inversely proportional to (tan x) and y = 2
when x = 30°, find the value of y when this value
of x is doubled.​

Answers

Answer 1

Answer:

When something is inversely proportional it can be solved by using the equation:

y = k/x

where k is the constant.

So using this we can plug in x and y to find the value of k.

3 = k/4.

Next we isolate k and find that k = 12. Now we use this to find the value of y when x = 8. Plug in x and you get y = 12/8 or y = 3/2 or 1.5.

Another way to solve this is to look at how the value of x changes. When the value of x goes up, the value of y goes down.

In other words, when x is multiplied by some number, y is divided by that number. In this equation we can see that x is multiplied by 2 to go from 4 to 8.

Thus, y must be divided by 2.

Thus, y = 3/2 or 1.5.

Answer 2

Answer:

Step-by-step explanation:

y is inversely proportional to tan x means  

                                                            [tex]y \ \alpha \ \frac{1}{tan x}\\\\y = k \times \frac{1}{tanx}[/tex]

Given y = 2 when x =30° . So we will find k.

                            [tex]y =k \times \frac{1}{tanx } \\\\2 = k \times \frac{1}{tan 30}\\\\k = 2 \times tan 30 = 2 \times \frac{1}{\sqrt{3}} = \frac{2}{\sqrt{3} }[/tex]

Now x is doubled, x = 60°, find y

                         [tex]y = k \times \frac{1}{tanx}\\[/tex]

                            [tex]= \frac{2}{\sqrt{3}} \times \frac{1}{tan 60}\\\\= \frac{2}{\sqrt{3}} \times \sqrt{3}\\\\=2[/tex]


Related Questions

help? (i mark brainlist if available)

Answers

Answer:

X < 120

Step-by-step explanation:

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

Answer:

option D

Step-by-step explanation:

X should be less than or equal to $120.00

Question 2 of 20
Which of the following are roots of the polynomial function below?
Check all that apply.
F(x) = x3 - 3x2 + 2
O A. 2+ v12
B.
2-12
3 + 17
D. 1
E. 3-17
SUBMIT

Answers

2+v12 is the answer

The rational root of the function  f(x) = x³ - 3x² + 2 is - 1.

What is a polynomial?

A polynomial is an algebraic expression.

A polynomial of degree n in variable x can be written as,

a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.

Given, A polynomial function of degree three f(x) = x³ - 3x² + 2.

Now, The roots of the function is when f(a) = 0.

The last term is, 2, Hence the roots must be,

± 1, ± 2, The factors of 2.

f(-1) = - 2.

f(1) = 0.

f(-2) = - 18.

f(2) = - 2.

So, The only rational root is x = - 1 and the other roots are irrational and can be obtained by the obtained quadratic equation after factoring or by long division.

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A discount of 15% is offered on an item which previously Cost $1.80. What is the discounted price​

Answers

The discounted price is $1.53

Amount saved is $0.27

Cost Price= CP= $1.80

Discounted Price = $ 1.53

Amount Saved= $ 0.27

Discount= 15%

The Discounted Price $ 1.53 is obtained after the discount percent applied to the cost price and subtracted from the cost price.

When the discounted price is subtracted from the Cost Price we get the amount saved.

Discount = discount % × Cost Price

Discount = 15% × $ 1.80 = $ 0.27

Discounted Price= Cost Price- Discount

                         = $1.8- $ 0.27= $ 1.53

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What is the answer for this question above

Answers

Answer a

Explanation
A would be the answer hope this helps

Please help me answer this
Will give Brainly

Answers

Answer:

9.103

10. 77

11.60

12. 6.4

13. 20

14. 36

Step-by-step explanation:

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees

180 - (47 + 30) = 103

DEG = 180 - 103 = 77 angles on a straight line equals 180

An equilateral triangle has all 3 sides equal

if the sum of angles in a triangle is 180 degrees, each angle measures 180 / 3 = 60

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

5² + 4² = 41

squareroot of 41 = 6.4

b : √(25² - 15²) = 20

√(60² - 48²) = 36

What is 0.25% of 30?

Answers

Answer:

0.075

Step-by-step explanation:

just do 30-0.025% it’s 29.925

What is the inverse operation of the square root?

Answers

Answer:

The square root function is the inverse of the squaring function just as subtraction is the inverse of addition. To undo squaring, we take the square root. In general terms, if a is a positive real number, then the square root of a is a number that, when multiplied by itself, gives a.

Step-by-step explanation:

Hope that this helps! :)

Have a great rest of your day/night!

Find the value of x that makes m || n

Answers

Answer:

x = 133

Step-by-step explanation:

x + 14 = 147

x (+ 14 - 14) = 147 - 14

x = 133

The answer is x = 133

Where would (2,-4) go on the coordinate plane?

Answers

Answer:

in the 4th quadrant

The probability that the number on the card is a perfect square is

Answers

From 2 to 101 , the perfect square numbers are ,

4 , 9 , 16 , 25 , 36 , 49 , 64 , 81 , 100 .

Total number of possible outcomes = 100.

Total number of favourable outcomes = 9 .

Hence ,

→ P ( of getting perfect square ) = 9/100

need help will give brainiest

Answers

Answer:

1. Triangles HIJ and KML

2. Triangles RST and YXZ

3. Reflexive property and Congruent Property

Step-by-step explanation:

Step-by-step explanation:

for 1 and 2 to find which ones are congruent you have to look at the lines on the angles which show congruence

Find the
vertex of this
quadratic.
([?], [ ]
2
1
X
-4 -3 -2 -1 0 1 2 3 4
-1
-2
-3
-4

Answers

Answer:

The vertex of the parabola is [tex]V(x,y) = (0, 3)[/tex].

Step-by-step explanation:

In this case, the vertex of the parabola is the absolute maximum of the graph, that is, the point [tex]V(x,y) = (0, 3)[/tex].  Mathematically speaking, the vertex of the parabola is represents the only point of the range ([tex]y[/tex]) which is related to an only value of the domain ([tex]x[/tex]).

I need the answer fast pls

Answers

Answer:

58

Step-by-step explanation:

The median in a box plot is the line in the middle of the box

The median is 58

Answer:

58

Step-by-step explanation:

The median in a box plot is the line in the middle of the box

The median is 58

Answer for brainlest!!!!

Answers

Answer:

Step-by-step explanation:

angle 2 and angle 7 are alternate exterior angles.so they are always equal.

angle 2=angle 7

8
[tex] \frac{50}{100} [/tex]

Answers

What’s the question?

[tex]\sf\purple{0.5}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \frac{50}{100} \\ = \frac{1}{2} \\ = 0.5[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

A phone company offers two monthly plans. Plan A costs $10 plus an additional $0.15 for each minute of calls. Plan B costs $19 plus and additional $0.10 for each minute of calls.

For what amount of calling do the two plants cost the same?

What is the cost when the tow plans cost the same?

Answers

Answer:

Step-by-step explanation:

A phone company offers two monthly plans. Plan A costs $10 plus an additional $0.15 for each minute of calls. Plan B costs $19 plus and additional $0.10 for each minute of calls.

For what amount of calling do the two plants cost the same?

help me on this. I’d appreciate it

Answers

Answer:

36

Step-by-step explanation:

eight times five is thirty six.

therefore the answer is thirty six! <3

Shelly receives a salary of $450 plus 20% commission on everything she sells. She sold $ 600 worth of office supplies. What was her total pay check​

Answers

Answer:

$1140 or $540

Step-by-step explanation:

450*1.2=540

540+600=1140

ORDENAR DE MAYOR A MENOR
a) -1, 3, 0, 2, -4 : b) 1, -10, 7, -9, -2 : c) 6, -3, 2, -1, -12 : d) 0, 8, -4, 2, -2
porfa

Answers

Answer:

a) 3, 2, 0, -1

b) 7, 1, -9, -10

c) 6, 2, -1, -3, -12

d) 8, 2, 0, -2, -4

Thare are 2 yellow 3 pink and 5 blue. What is the possibility of drawing two pink marbles of the first one is NOT placed back in to the bag before the second draw​

Answers

Answer:

Hint

Step-by-step explanation:

If f(x)=2x+17, then f(12)=

Answers

Answer:

41

Step-by-step explanation:

Simply substitute 12 to the x:

f(12)=2(12)+17

f(12)=24+17

f(12)=41

HELP HELP HELP HELP PLS

Answers

Answer:

D. 14 Please mark as brainliest!

Answer:

14

Step-by-step explanation:

At noon the temperature was 35° Celsius. By late afternoon it was rising 8° Celsius. What is the temperature late in the afternoon

Answers

42° Celsius

your welcome<3

make a table where the constant rate of change is 6 inches for every foot

Answers

It should be noted that a table where the constant rate of change is 6 inches for every foot will be:

1 foot = 6 inches

2 foot = 12 inches.

3 feet = 18 inches.

4 feet = 24 inches

5 feet = 30 inches.

How to illustrate the information?

It should be noted that an expression is used to show the relationship about the numbers given. In this case, it should be noted that there's a constant rate if 6 inches for every foot.

This means that there will be a difference of 6 inches for each foot.

Therefore, 1 foot = 6 inches

2 foot = 2 × 6 = 12 inches.

3 feet = 3 × 6 = 18 inches.

4 feet = 4 × 6 = 24 inches

5 feet = 5 × 6 = 3 inches.

This illustrates that that there is a constant relationship.

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10 points
Which equation should you solve to find x?

Answers

Answer:

B.

Step-by-step explanation:

Using SOHCAHTOA,

sin 24 = 4/10

cos 24 = x/10

tan 24 = 4/x

Answer: B.

Option B. is correct. Using cosine formula the equation cos 24° = [tex]\frac{x}{10}[/tex] is used to find value of 'x'.

What is cosine?

The ratio of the "adjacent side of a right angle triangle to the hypotenuse" is called cosine and given by the symbol 'cos'.

According to the question,

Angle of Right angle triangle is 24°

Adjacent = x

Opposite = 4

Hypotenuse = 10

In order to value of 'x' only if using cosine formula.

Formula for cosine = [tex]\frac{adjacent}{hypotenuse}[/tex]

= [tex]\frac{x}{10}[/tex]

Hence, the equation cos 24° = [tex]\frac{x}{10}[/tex] is used to find value of 'x'.

Learn more about cosine here

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What is one effect of World Bank loans to developing countries?

Answers

One example is they help them develop projects

Answer:

Improved climate for foreign investment

Step-by-step explanation:

I just took the test gs

A building code allows a maximum of 140 people in a meeting room. There is one large table in the room, along with some small tables. When filed, the large table seats 15 people, and the small table each seat 5 people. Which of the following can be used to find t, the greatest number of small tables that can be filled when the large tables are also filled?

Answers

Answer:

25 tables

Step-by-step explanation:

140-15=125

after the big table is filled 125 people are left

small tables fit 5 people

125÷5=25

1 big table and 25 small tables are needed to seat everyone

…..25 tables!!!…






…….hope ……this helps you! …..

Please look at the image

Answers

Answer:

STN = 65 Completing the 180 degrees

115+m(STN)=180

m(STN)=65

mNTR=115

because The NTR and MTS meet theyself

mRTM=65

same The NTR and MTS

because RTM ans STN meet theyself

hopefully you understand it

i am trying hard to explain the question when i solve it but my engilish is not helping to handle it

PLS ANSWER ASAP!! Person with correct answer will be marked brainliest

Answers

Answer:

B

Step-by-step explanation:

The 3 angles (6x + 2), 40, 90 lie on s straight line and sum to 180° , that is

6x + 2 + 40 + 90 = 180

6x + 132 = 180 ( subtract 132 from both sides )

6x = 48 ( divide both sides by 6 )

x = 8 → B

hope this helps! feel free to clarify

1.
What is the range of this data set?
07, 43, 9, 35, 38, 13, 24, 41
36
35
24
26

Answers

43-7= 36

Range is highest number minus smallest number

the answer is 36 (A.) because to find range is gonna be the largest number minus the smallest number. so it would be 43 - 7 and you get 6
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