Find the missing side length

The measure of cot(a) given that csc(a) = -5√6/12 is -1/4√61.5

Given the following trigonometry function as shown below:

csc(a) = -5√6/12

Since csc(a) = 1/sin(a)

sin(a) = -12/5√6
sin(a) = -12√6/30 = -4√6/15 = opp/hyp

Determine the measure of cos(a)

adj^2 = (-4√6)^2+15^2
adj^2 = 144+225
adj = √369

cot(a) = cos(a)/sin(a)

cot(a) = √369/15 * 15/ -4√6
cot(a) = -1/4√61.5

Hence the measure of cot(a) given that csc(a) = -5√6/12 is -1/4√61.5

Learn more on trigonometry function here: https://brainly.com/question/1143565

Answer:

1/4

Step-by-step explanation:

on flipping a coin, we either get a heads or a tails and both the events are equally likely. So the probablity of getting a tails is 1/2.

Now

On rolling a die, we can get 6 possible outcomes(1,2,3,4,5,6)

But the favourable outcomes (an even number) are only 3. So the probablity of getting an even number is 3/6=1/2

In case. we have 2 events that need to occur together, we simply need to multiply their individual probablities to get the probablity of getting both the events together

So our required answer is

Answer:

Step-by-step explanation:

According to the given box plot, the 25% point matches the number 2.

It means the rest of the scores are 2 or more runs:

Answer:

C

Step-by-step explanation:

Answer:

i think last one is the right answer

Step-by-step explanation:

y=1/3x

Answer:

x = 1.6 or [tex]\frac{8}{5}[/tex]

Step-by-step explanation:

12x - 11 = 2x + 5

Add 11 to both sides,

12x - 11 + 11 = 2x + 5 + 11

12x = 2x + 16

Subtract 2x from both sides,

12x -2x = 2x - 2x + 16

10x = 16

Divide both sides by the same factor (in this cas the factor is 10),

[tex]\frac{10x}{10} =\frac{16}{10}[/tex]

[tex]x=\frac{8}{5}[/tex]

x = 1.6 or [tex]\frac{8}{5}[/tex]

Answer:

seventy-six and two hundred eighty thousandths.

Step-by-step explanation:

Answer:

Varies - possibly not enough information

Step-by-step explanation:

How many doses per day?

Do you only need to know the amount of oz. for "today"?

Does this need to be expressed in decimal form?

If the patient is ordered to take 2- 2/3 oz. per day, you have your answer.

Decimal form: 2-2/3 = 8/3 = 2.667 oz.  

Answer:

There is two simple equations one where you take out x as a comman factor and y as a common factor

Step-by-step explanation:

x(2x - 5y+ 2y squared)

Y(2x squared - 5x + 2y)

Sorry I don't know how to do the sqaure thingy but that's how you find two separate equations

Answer:

I think its 50 if this is correct can u mark me brainliest?

The answer to the given permutation and combination are

To solve the given problems, we have to use permutation and combination

This is a topic in mathematics that deals with the probability or number of ways an event can occur.

a)10P5

[tex]_1_0P_5 = 30240[/tex]

b) 6C2

[tex]_6C_2 = 15[/tex]

c) This will be a multiplication of permutation of number. This becomes

[tex]_2_6P_2 * _1_0P_2 = 58500[/tex]

This can happen in 58,500 ways.

d) To arrange 9 blocks in a row, she can do it in

[tex]_9C_1 = 9[/tex]

she can do this in 9 ways

e) This can be solved using combination by writing it as

[tex]_1_0C_5 = 252[/tex]

She can do this in 252 ways.

From the above calculations, the answer to the given permutation and combination are

Learn more on permutation and combination here;

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Answer:

The simplest fraction is 11/20

Step-by-step explanation:

Given that,

Guests order the signature dish is 55%.

We need to find simplest fraction of guests who order signature dish.

Let the fraction be X.

According to above information, calculation of data are as follows,

x=55/100

x=11/20

So, the simplest fraction of guests is 11/20

Learn more : brainly.com/question/13173500

The function f(h) = 45h + 80  of the computer repair is a linear function

A linear function is represented as:

f(h) = mh + c

Where:

By comparison;

45 represents the hourly rate and 80 represents the base cost

We have:

f(h) = 45h + 80  

When f(h) = 215, the function becomes

45h + 80 = 215

Subtract 80 from both sides

45h = 135

Divide both sides by 45

h = 3

Hence, the value of h means 3 hours

Read more about linear functions at:

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Answer:

if you want to find c do sqrt( a² + b²)

if you want to find a do sqrt( c² - b²)

if you want to find b do sqrt( c² - a²)

Answer:

Y ≥(greater than or equal to) R or Y ≤(less than or equal to) R

The phrase at least means about equal to, represented by that sign. In this case, equal to, because x + y = 16 total since she spent 16 hours cooking and cleaning. That would mean they both have to equal 8 to get 16. You can also do 10 + 6 to get 16. There are a few more solutions after this you can try, which I will not list at the moment.

__________________________________________________________

Ask in the comments box.

Answer:

in the first one: BMC is equilateral triangle, because BM divides AC into equal sections, and because of that MC is 3.5 so it equals to BC.

Since angle BMC is 60° (because the triangle is equilateral), angle AMC will be 120°.

Since angle A + angle C should be 90°, if amgle C is 60°, then angle A will be 30.

In triangle AMB, angle ABM will be 30° (180°-120°(angle AMB) - 30°(angle BAM)).

As we calulated, angle A is 30° and angle ABM is 30° too, that means in BAM triangle AM=BM.

Answer:

5 with 1 left.

Step-by-step explanation: 7 goes into 36 5 times.

5x7=35

36-35=1 left over.

Using the combination formula, it is found that the number of different simple random samples of size 3 that can be selected from this population is:

b. 56.

The order in which the items are selected is not important, hence the combination formula is used to solve this question.

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 3 items are chosen from a set of 8, hence:

[tex]C_{8,3} = \frac{8!}{3!5!} = 56[/tex]

Hence option b is correct.

More can be learned about the combination formula at https://brainly.com/question/25821700

Answer:

C. 28

Step-by-step explanation:

According to the provided figure :

The measure of the angle EFG equal to the measure of the angle EFH

Which means 2(x + 2) = 60

2(x + 2) = 60

Then

2x + 4 = 60

Then

2x = 60 - 4

Then

2x = 56

Then

x = 56/2

Then

x = 28

Answer:

38

Step-by-step explanation:

Here,

Let one of the unknown integer be x whereas the other one be 82 (according to question)

Now,

X+82=120

Or, x=120-82

Or, x=38

Therefore the value of the unknown integer is 38.

Answer:

It should be 27 from the answer I got

Step-by-step explanation:

Hope this helps <3

Answer:

D

Step-by-step explanation:

D .  .79 d would be the same

d- .21d =   (1-.21) * d= .79 d

Answer:

-295

Step-by-step explanation:

10^2=100

8x3=24

100-24=76

76x4=304

5+4=9

9-304=-295

Answer:

Yes

Step-by-step explanation:

Yes, because the remainder of f(x) is 0

Answer:

4/3

Step-by-step explanation:

correct this answer

Answer:

250 degrees

Step-by-step explanation:

180-55 = 125

360-125= 250

Answer:

its 12p bro...

Step-by-step explanation:

There are 12 cards a pack. Carter bought a unknown amount of packs, so this is represented by p.

Think of it this way.

12p = 12*p

This is because of the distributive property.

Each french fry costs $1.5 and hamburger $3.75

=================

Consider hambugers as "h" and fench fries as "f"

We can solve them to find the cost of each hambuger and fench fry

Solve for f :

Solve for h :