Mathematics College

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

What is the volume of the triangle prism? ( HELP PLEASE )

Answers

Answer:

270 km³

Step-by-step explanation:

the volume = ½×9×6×10 = 270 km³

Solve the problem. An experiment consists of randomly choosing a number between 1 and 10. Let E be the event that the number chosen is even. Assuming that each of the numbers between 1 and 10 is equally likely to be chosen, find P(E).
A) .5
B) .8
C) .1
D) .2

Answers

Answer:

A.

Step-by-step explanation:

1. the required probablilty is: P=(number_of_even_numbers)/(number_of_all_the_numbers);

2. according the condition the number of all the numbers is 10; the number of even numbers is 5 (they are: 2; 4; 6; 8; 10), then

3. P=5/10=0.5 (option 'A').

Does anyone understand this?

Answers

Answer: understand what

Step-by-step explanation:

Answer:

where qurstion

Step-by-step explanation:

??????????????

Which of the following sets of data is bimodal?
A {2,3,4,4,5,6,7,7,8}
B {2,2,3,3,4,4,5,5,6,6}
C {2,3,4,4,4,5,6,7,8}
D {2,2,3,3,4,4,5,6,7,8}

Answers

Answer:

a. po

sana po maka tulong

solve for ,"a" in 3(a+2)/4 +3/2=0​

Answers

Answer:

a=-4

Step-by-step explanation:

3(a+2)=-6

3a+6-6=-6-6

3a/3=-12/3

En 9 días, un grupo de trabajadores puede sembrar 72 hectáreas.
¿Cuál es su tasa en hectáreas por día?

Answers

Answer:

8 hectáreas por día

Step-by-step explanation:

72 hectares en 9 días por eso divides 72 por 9 para encontrar la repusta es 8

¡Espero que esta te ayudar! :)

(y sí, hablo un poco de español porque he aprendido desde el primer grado)

Helppppppppppppppp meeeeeeeeee

Answers

Answer:  the forth one

Step-by-step explanation:

If w = 7a + 4b, which of the following equations is solved for a?

Answers

Answer: a= w - 4b/ 7

Step-by-step explanation:

Round 591.48 to the nearest tenth.???? need help dunno

Answers

Answer:

591.5

Step-by-step explanation:

You're rounding so yeah this was simple

Answer:

591.5 because the tenth place is after the . and the number after it is what you use to round it if it larger then 5 the number in the tenth place goes up one and if it's under 5 it stays the same

4. In a mixture of 45 litters, the ratio of sugar solution to salt solution is 1:2. What is the
amount of sugar solution to be added if the ratio has to be 2:1?​

Answers

Answer:

15

Step-by-step explanation:

The amountt of sugar and salt would be x and 2x

x+2x=45x

so sugar solution =15 and salt solution =30

ratio =2:1 then sugar =30 salt =15

The amount of sugar solution to be added =30-15=15

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

[tex]sin^{-1}(\frac{51}{53})\\=74.21[/tex]

≈74

Write an equation for a translation of the parent function y = |x| to translate it 7 units left.

A. y = |x| + 7
B. y = |x + 7|
C. y = |x − 7|
D. y = |x| − 7

Answers

9514 1404 393

Answer:

  B.  y = |x +7|

Step-by-step explanation:

The translations represented by the answer choices are ...

  A. up 7 units

  B. left 7 units . . . . the choice we want

  C. right 7 units

  D. down 7 units

___

In general, the effects of adding things to x and y are summarized by ...

  y = f(x -a) +b . . . . . . . . translation right 'a' units, up 'b' units

Translations left or down are accomplished by using negative values for 'a' and/or 'b.

__

We want translation 7 units left, so a=-7 and b=0

  y = |x|   ⇒   y = |x -(-7))|  or  y = |x+7|

The F-ratio is determined by dividing _________by ___________. Group of answer choices within-groups variance; between-groups variance between-groups variance; within-groups variance systematic variance due to treatment; error variance error variance; systematic variance due to treatment

Answers

Answer:

between-groups variance;

within-groups variance

Step-by-step explanation:

The F-ratio is determined by dividing between-groups variance by within-groups variance

Reason -

The F ratio is the ratio of two mean square values.

5. The Toy Car Company sells toy cars for $8.00
per car and charges $3.50 for shipping.
a.

Answers

Answer:11.50

Step-by-step explanation:

what is the value of a, if 5a-b-c=36 and b=c=1/2a

Answers

Answer:

a=36

Step-by-step explanation:

because look 0a=a

0a=36

a=36

It’s algebra 2 I have no idea help?

Answers

Answer:

outs dnc fungi obi fh hk of dk foo ox dj fk

An equation is shown below:

8x + 2(x – 7) = 7x + 3x – 14

Part A: Solve the equation and write the number of solutions. Show all the steps. (6 points)

Part B: Name one property you used to solve this equation. (4 points)

Answers

All real numbers are solutions

Use pemdas when solving these problems

{5,9,8,6,3,9,1,4,5,9,13}

Answers

Answer:

75

Step-by-step explanation:

75
hoped it helped !:)

The operation  is defined on the set R of real numbers by ab=ab+a.
Determine whether or not the operation  is associative.​

Please I need help.

Answers

Answer:

ab=ab+a

We need to check the following:

(ab)c=a(bc) or not

LHS

(ab)c=(ab+a)c

=(ab+a)c+(ab+a)

=abc+ac+ab+a

RHS

a(bc)=a(bc+b)

=a(bc+b)+a

=abc+ab+a

as LHS ≠ RHS, the operation is not associative

Step-by-step explanation:

Plzz help me well mark brainliest if correct,.......???!!!

Answers

Answer:

im pretty sure is 3 but it says 2 but just pick 3

Answer:

1

Step-by-step explanation:

Depending on what number has the most Xs above it, that will be the answer. The question is slanted so, it's hard to tell between 1 and 3, but, if I had to guess, then 1.

What is the volume of the rectangular prism?

Answers

Answer:

54 in³

Step-by-step explanation:

9×3×2 = 54 in³

_______

Find the circumference of the object 6 Cm

Answers

Answer:

37.7 cm

Step-by-step explanation:

C = 2πr

2 · π · 6

≈ 37.7

A market research team thinks that their new ad campaign is better than their old one. They used to be able to sell to 50% of those who saw their ads. To test their thought, they will run a hypothesis test. They take a random sample of 100 potential buyers and find that they convinced 60 of these people to buy their product. The test will be run at a 1% significance level.
a. The test statistic is 2 and we conclude that the new ad campaign is not signficantly better.
b. The test statistic is 2 and we conclude that the new ad campaign is signficantly better.
c. The test stat is 2.236 and we conclude that the new ad campaign is not significantly better.
d. The test stat is 2.236 and we conclude that the new ad campaign is significantly better.
e. The test stat is 2.5 and we are left with a test that is inconclusive.

Answers

Answer:

a. The test statistic is 2 and we conclude that the new ad campaign is not signficantly better.

Step-by-step explanation:

They used to be able to sell to 50% of those who saw their ads. Test if the new campaign is better.

At the null hypothesis, we test is it is the same, that is, the proportion is the same.

[tex]H_0: p = 0.5[/tex]

At the alternate hypothesis, we test if it is significantly better, that is, the proportion is above 50%.

[tex]H_1: p > 0.5[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.5 is tested at the null hypothesis:

This means that [tex]\mu = 0.5, \sigma = \sqrt{0.5*0.5} = 0.5[/tex]

They take a random sample of 100 potential buyers and find that they convinced 60 of these people to buy their product.

This means that [tex]n = 100, X = \frac{60}{100} = 0.6[/tex]

Test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.6 - 0.5}{\frac{0.5}{\sqrt{100}}}[/tex]

[tex]z = 2[/tex]

The test statistic is 2.

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion above 0.6, which is 1 subtracted the by p-value of z = 2.

Looking at the z-table, z = 2 has a p-value of 0.9772.

1 - 0.9772 = 0.0228.

The p-value of the test is 0.0228 > 0.01, which means that we cannot conclude that the new ad campaign is signficantly better, so the correct answer is given by option A.

Find the value of x in the figure:

PLEASE SHOW WORK:)))

WILL MARK BRAINLIEST TO CORRECT ANSWER.

Answers

Answer:

x = 4

Step-by-step explanation:

ΔAED  ~ ΔACB

[∠DAE = ∠BAC ( common angle ), [tex]\frac{AE}{AC} = \frac{AD}{AB}[/tex] ( gives a ratio 1:2 ) ]

[tex]\frac{AE}{AC} = \frac{DE}{BC}[/tex]

Since AC = 2AE  [ AC = AE + EC, But AE = EC, ∴ AC = AE + AE ]

 [tex]\frac{AE}{2AE} = \frac{x + 1}{4x - 6}\\\\\frac{1}{2} = \frac{x + 1}{4x - 6}\\\\\\Cross - multiplying,\\\\4x - 6 = 2 *(x + 1)\\4x - 6 = 2x + 2\\4x - 2x = 2 + 6\\2x = 8\\x = 4[/tex]

factorise 4a-6ab-18ac​

Answers

Answer:

Step-by-step explanation:

4a-6ab-18ac

=2a(2-3b-9c)

The required factorisation of the given equation is 4a-6ab-18ac​ = 2a(2 - 3b - 9c).

What is factorisation?

In mathematics,  factorisation or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.

The given equation is,

4a-6ab-18ac​

So factorising each term we have,

4a = 2*2*a

6ab = 2*3*a*b

18ac = 2*3*3*a*c

Thus the equation becomes,

4a-6ab-18ac​ = 2*2*a - 2*3*a*b - 2*3*3*a*c

taking 2*a common we get,

4a-6ab-18ac​ = 2a(2 - 3b - 3*3*c)

or, 4a-6ab-18ac​ = 2a(2 - 3b - 9c)

which is the the required factorisation of the equation.

Thus, the required factorisation of the given equation is 4a-6ab-18ac​ = 2a(2 - 3b - 9c).

To learn more about factorisation:

https://brainly.com/question/20293447

#SPJ2

this is going to be hard ok here i go what is 5678,00000 x 4321,0000000

Answers

Answer: 2.45346638e+19

Step-by-step explanation:

Fill in the missing monomials: 100x^2= (____)^2
ITS NOT 100

Answers

Answer:

(10x)^2

Step-by-step explanation:

What is the angle of elevation to a building 1300m away that is 250m high?
•79.1°
•78.9°
•11.1°
•10.9°

Answers

Answer:

∅ = 10.9º

Step-by-step explanation:

tan = opp/adj = 250/1300

∅ = arctan250/1300

use calculator

∅ = 10.9º

Please help ;-;im stuck

Answers

Answer:

999

Step-by-step explanation:

223 →  200 + 20 + 3

374 →  300 +  70 + 4

402 → 400 +    0 + 2

          900 + 90 + 9

standard form = 999

Perfect square trinomial:
(a – b)2 = (a – b)(a – b) = a2 – 2ab + b2
Find the product of (k – 9)2 using the perfect square trinomial rule shown on the left.



The product (k – 9)2 can also be written as
.

The product is k2 –
k +
.

Answers

Answer:

See work below.

Step-by-step explanation:

[tex](k-9)^2=(k-9)(k-9)\\=k^2-2(k)(9)+9^2\\=k^2-18k+81[/tex]

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