What value of x makes m/n(pls show work)

Step-by-step explanation:

Hey there!

LHS

[tex] = \frac{ \cos(a) }{ \tan(a) } [/tex]

Use tan A = sin A/cosA

[tex] = \cos(a) \times \frac{ \cos(a) }{ \sin(a) } [/tex]

[tex] = \frac{ { \cos(a) }^{2} }{ \sin(a) } [/tex]

Then, Use formula cos²A = 1-sin²A and sinA = √(1-cos²A)

[tex] = \frac{1 - { \sin(a) }^{2} }{ \sqrt{ - { \cos(a) }^{2} } } [/tex]

Proved!

Hope it helps!

Answer:

8/9 (decimal: 0.888889)

Answer:

[tex]2[/tex]

Two is the answer.

Step-by-step explanation:

simple explanation is; when you go through your two times table.. in order to arrive at eight, (8), you have to mention or go through 3 numbers

Or .... cube root of 8 is two..

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Answer:

Number of hour work per shift = 11 hour per day

Amount paid for one shift = Rs 198

Step-by-step explanation:

Given:

Amount pay per hour = Rs 18

Shift time = 12 h  to 23 h

Find;

Number of hour work per shift

Amount paid for one shift

Computation:

Number of hour work per shift = 23:00 - 12:00

Number of hour work per shift = 11 hour per day

Amount paid for one shift = Number of hour work per shift x Amount pay per hour

Amount paid for one shift = 11 x 18

Amount paid for one shift = Rs 198

Answer:

Alex is correct.

Step-by-step explanation:

In order for Alex to get to $0, meaning he owes the bank nothing, he has to add 155 dollars to negative 155 dollars, because this means he has no debt left. The absolute value of -155 is 155 and if Alex pays the 155 dollars, he will not have to pay anything else to the bank.

Answer:

I dont know for sure, but maybe try B

Step-by-step explanation:

Answer:

$3000

Step-by-step explanation:

$2000×5/×30

$1000×3=$3000

Answer:

P(N) = 5/14

Step-by-step explanation:

Find P(N) by finding the probability of getting a noisemaker.

There are 42 items in total, and 15 are noisemakers. Find the probability by dividing 15 by 42:

15/42

Simplify:

5/14

So, P(N) = 5/14

Answer:

D: (2, -3)

Step-by-step explanation:

We have;

y = 3x - 9 - - - (1)

y = -2x + 1 - - - (2)

By substitution method, from eq 1, we see that: y = 3x - 9

Thus,let's put 3x - 9 for y in eq 2;

3x - 9 = -2x + 1

Rearranging to get;

3x + 2x = 9 + 1

5x = 10

x = 10/5

x = 2

Thus;

y = 3(2) - 9

y = 6 - 9

y = -3

Thus,the solution (x, y) = (2, - 3)

Answer:

5 times

Step-by-step explanation:

Using visual inspection, the bar of North HS is 5 times longer Than the bar of West HS.

The gtids are of equal size, West HS occupies one portion of the grid, while North HS occupies 5 portions of the grid

5 portions / 1 portion = 5

Hence, North HS according to the graph is 5 times West HS

Answer:

Step-by-step explanation:

Begin by distributing the L into the parenthesis:

T = 3L + LRS and

T - 3L = LRS and finally,

[tex]\frac{T-3L}{LR}=S[/tex]

Answer:

y2 = m(x2 - x1) + y1

Step-by-step explanation:

Given the slope formula :

m = (y2 - y1) / (x2 - x1)

To obtain an equivalent expression :

We cross multiply :

m(x2 - x1) = y2 - y1

Making y2 the subject ;

Add y1 to both sides

m(x2 - x1) + y1 = y2 - y1 + y1

m(x2 - x1) + y1 = y2

y2 = m(x2 - x1) + y1

Answer: A

Step-by-step explanation:

Answer:

D. 45%

Step-by-step explanation:

there are 11 paintings and 9 paintbrushes, added together you have a total of 20 items. There are 9 paintbrushes and 20 items in total which is 9/20. 9/20 as a percentage is 45%

Answer:

Step 1 is wrong

Step-by-step explanation:

[tex] \frac{1}{4} r+ 2 = 10[/tex]

[tex] \frac{r}{4} + 2 = 10[/tex]

[tex] \frac{r}{4} = 10 - 2[/tex]

[tex] \frac{r}{4} = 8[/tex]

[tex]r = 8 \times 2[/tex]

[tex]r = 32[/tex]

Answer: The answer is D

Step-by-step explanation:

You add z to the other side then it will cancel out which then it would be (w+z)  and then you times it by 2 by both sides which would be 2(w+z) and then you would subtract x from both sides which will be 2(w+z)-x

Hopefully this helps

Answer:

(4)

Step-by-step explanation:

element =4

frequency=1

cumulative frequency-=1

relative frequency=1

cumulative relative frequency=1

Answer:

the answer is a.

Step-by-step explanation:

two times the sum of x and seven plus ten

2(x+7)+10

Answer:

7x-2x+20=40

5x+20=40

5x=40-20

5x=20

x=20/5

x=4

Answer:

Step-by-step explanation:

first work what's in the brackets { 4 x 2 -10}^3

{4 x 2-1000}

4 x -998

Answer:

20 games are required to be play

Answer:

[tex]\sqrt{85}[/tex] /2

Step-by-step explanation:

lets find hypotenuse( longest side) first

let other two samller sides be a and b and hypotenuse be c

pythagorsd theorem

a^2 + b^2 =c^2

9^2 + 2^2 =c^2

81 + 4=c^2

85 =c^2

[tex]\sqrt{85}[/tex] =c

take theta as reference angle

cosec theta=hypotenuse/opposite

=[tex]\sqrt{85}[/tex] / 2

Answer:

Answer is B. CSC ∅ = √85 /2

Step-by-step explanation:

CSC = 1 / Sin ∅

So first find Sin ∅ = 2 / √ 85 and then substitute in the formula

And oh, in case you're wondering, √ 85 is the hypotenuse side which you find like this:

√ 9² + 2²

√ 81 + 4

√ 85

Answer:

Given in the graph

Step-by-step explanation:

Step-by-step explanation:

This is your answer

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Answer:

12 gallons

Step-by-step explanation:

If each pitcher can hold only a third of one of her makings. Think about it. Just pour the glasses in your mind. She fills it up a little bit, and then keeps doing it until 12 are full. or how else to explain it or really explain it at all.

Answer:

b=109 degree

Step-by-step explanation:

26 + 45 + b=180 degree (being sum of interior angles of a triangle)

71 + b = 180

b=180-71

b=109 degree

Step-by-step explanation:

109°

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Orthocenter is the best term to describes point R in the triangle UVW.

" Orthocenter is defined as intersecting point of the altitudes of the sides of the acute angle triangle."

According to the given figure,

In triangle UVW,

Ray VR perpendicular to UW

Ray UR perpendicular to VW

Ray WR perpendicular to UV

Altitudes of side  ( UV , VW, and WU) of triangle UVW intersect at

point R.

As per the definition of orthocenter , point R represents orthocenter.

Hence, orthocenter is the best term to describes point R in the triangle UVW.

Learn more about orthocenter here

https://brainly.com/question/19763099

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