Could someone explain and show how to solve these

Could Someone Explain And Show How To Solve These

Answers

Answer 1

The answers to the given question are as follows:-

1.  Cos(∠mA)  =  [tex]\dfrac{3}{5}[/tex]

2. Sin(∠mA)   = [tex]\dfrac{\sqrt{20}}{\sqrt{35}}[/tex]

3. Tan(∠mB)  =  [tex]\dfrac{b}{a}[/tex]

What is trigonometry?

Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.

The angles will be calculated by using trigonometric identities.

1. For the first triangle:-

Cos∠mA = [tex]\rm \dfrac{Base}{Hypotenuse}[/tex]

We can see in the first triangle base is 3 and the hypotenuse is 5.

Cos∠mA =  [tex]\dfrac{3}{5}[/tex]

2. For the second triangle:-

Sin∠mA = [tex]\rm \dfrac{Perpendicualr }{Hypotenuse}[/tex]

We can see in the first triangle Perpendicular is √20 and the hypotenuse is √35.

Sin∠mA =  [tex]\dfrac{\sqrt{20}}{\sqrt{35}}[/tex]

3. For the third triangle:-

Tan∠mB = [tex]\rm \dfrac{Perpendicualr }{Base}[/tex]

We can see in the first triangle Perpendicular is b and the Base is a.

Tan∠mA =  [tex]\dfrac{b}{a}[/tex]

Therefore  answers to the given question are as follows:-1. Cos(∠mA)  =  [tex]\dfrac{3}{5}[/tex]2. Sin(∠mA)   = [tex]\dfrac{\sqrt{20}}{\sqrt{35}}[/tex] and 3. Tan(∠mB)  =  [tex]\dfrac{b}{a}[/tex]

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Related Questions

PLEASE HELP!!! DSFVAGETRYHUJ

Answers

Answer: Remeber 2+2=5 and

Step-by-step explanation: if yur on fire stop drop and roll do it and your awesome. Another thing is if someones taking forever drinking water when your behind them sing 123 can you hurry up please 456 imma hit you with a brick 789 imma spit this sick ryme

if1(2) at the level 20= 0.94770 and 1(2) at the level 21= 096020 find the required level of mortality for the estimated value of 1(2)* =0.95656.

Answers

Answer:

Step-by-step explanation

Sorry but your answer is a fake question which I can't answer

please help me fast write the answer in picture ​

Answers

Step-by-step explanation:

hope you can understand

Verify that (cos²a) (2 + tan² a) = 2 - sin² a....

Answers

Trigonometric Formula's:

[tex]\boxed{\sf \ \sf \sin^2 \theta + \cos^2 \theta = 1}[/tex]

[tex]\boxed{ \sf tan\theta = \frac{sin\theta}{cos\theta} }[/tex]

Given to verify the following:

[tex]\bf (cos^2a) (2 + tan^2 a) = 2 - sin^2 a[/tex]

[tex]\texttt{\underline{rewrite the equation}:}[/tex]

[tex]\rightarrow \sf (cos^2a) (2 + \dfrac{sin^2 a}{cos^2 a} )[/tex]

[tex]\texttt{\underline{apply distributive method}:}[/tex]

[tex]\rightarrow \sf 2 (cos^2a) + (\dfrac{sin^2 a}{cos^2 a} ) (cos^2a)[/tex]

[tex]\texttt{\underline{simplify the following}:}[/tex]

[tex]\rightarrow \sf 2cos^2 a + sin^2 a[/tex]

[tex]\texttt{\underline{rewrite the equation}:}[/tex]

[tex]\rightarrow \sf 2(1 - sin^2a ) + sin^2 a[/tex]

[tex]\texttt{\underline{distribute inside the parenthesis}:}[/tex]

[tex]\rightarrow \sf 2 - 2sin^2a + sin^2 a[/tex]

[tex]\texttt{\underline{simplify the following}} :[/tex]

[tex]\rightarrow \sf 2 - sin^2a[/tex]

Hence, verified the trigonometric identity.

Answer:

See below ~

Step-by-step explanation:

Identities used :

⇒ cos²a = 1 - sin²a

⇒ tan²a = sin²a / cos²a

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

Solving :

⇒ (cos²a) (2 + tan² a)

⇒ 2cos²a + (cos²a)(tan²a)

⇒ 2(1 - sin²a) + sin²a

⇒ 2 - 2sin²a + sin²a

2 - sin²a [∴ Proved √]

03 - Describe the set S = {x : | ½x − 3| > 4} in terms of intervals.​

Answers

Answer:

Hi,

Step-by-step explanation:

a)

[tex]if\ \dfrac{x}{2}-3\ > \ 0\ then\ |\dfrac{x}{2}-3|=\dfrac{x}{2}-3\\\\\dfrac{x}{2}-3 > 4\\\\\dfrac{x}{2} > 7\\\\x > 14\\[/tex]

b)

[tex]if\ \dfrac{x}{2}-3\ < \0 \ then\ |\dfrac{x}{2}-3|=-(\dfrac{x}{2}-3)=-\dfrac{x}{2}+3\\\\-\dfrac{x}{2}+3\ > \ 4\\\\-\dfrac{x}{2}\ > \ 4-3\\\\-\dfrac{x}{2}\ > \ 1\\\\\dfrac{x}{2}\ < \ -1\\\\x\ < \ -2\\[/tex]

[tex]S=\{x\in\mathbb{R}\ :\ |\dfrac{x}{2}-3|\ > \ 4\}=(-\infty,-2[\ \cup\ ]14,\infty)\\[/tex]

The diameter of a semicircle is 6 kilometres. What is the semicircle's radius?

Answers

Answer:

3km

Step-by-step explanation:

d = 2r so r = 1/2 * d = 1/2 * 6 = 3km

The Father of the Bride flips out when he realizes that the hot dogs and buns don't
match. There are 8 hot dogs in a package and 12 buns in a package. How many
packs of hot dogs and how many packs of buns do you need to purchase in order to
have the exact same number of each?

Answers

Using the least common multiple, it is found that you need to buy 3 packs of hot dogs and 2 packs of buns to have the exact same number of each.

How to find the number of packs needed?

First, we need to find the total number of each element, finding the least common multiple of the sizes of each package, that is, 8 and 12.

The lcm is found factoring them by prime factors, hence:

8 - 12|2

4 - 6|2

2 - 3|2

1 - 3|3

1 - 1

Hence, lcm(8,12) = 2³ x 3 = 24.

Then:

24/8 = 3.24/12 = 2.

Which means that you need to buy 3 packs of hot dogs and 2 packs of buns to have the exact same number of each.

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For questions 1 and 2, multiple answers may be selected

1. Circle the data that represents discrete data: The weight of cows The number of books in your apartment The color of your hair The ounces of water that you drink each day.

2. Circle the data that represents continuous data: The weight of cows The number of books in your apartment The color of your hair The ounces of water that you drink each day​

Answers

The discrete data is (b) while the continuous data are (a) and (d)

What are discrete data?

These are data that can be represented using positive whole numbers.

Using the above definition as a guide, the discrete data is (b) The number of books in your apartment

What are continuous data?

These are data that can be represented using decimal numbers.

Using the above definition as a guide, the continuous data are (a) The weight of cows  and (d) The ounces of water that you drink each day

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Based on past experience, a building contractor sets the
probability of winning a contract at 0.10. The contract is
worth $75,000 and the cost to prepare the contract proposal
is $10000. What is the expected value of the contract
proposal?

A. $2500
B. $22600
C. $22600
D. $2500

Answers

Based on the cost of the contract and the probability to win it, the total expected value of the contract proposal is -$2500.

How to calculate the expected value of a contract proposal?

The general formula to calculate the expected value is:

Expected value: possibility of winnind the contract x the amount when winning - possibility of loing the contract x possible loss

Possibility of winning the contract= 0.10Possibility of losing the contract = 0.90Gain: $65000Loss: $10000

What is the expected value of the contract?Expected value: 0.10 x 65000 - 0.90 x 10000Expected value: 6500 - 9000Expected value: -$2500

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which choices are in the solution set of the equation below check all that apply 4x=30

Answers

The choice in the solution set of the equation 4x = 30 is x = 7.5

How to determine the solution set?

The equation is given as:

4x = 30

Divide both sides of the equation by 4

4x/4 = 30/4

Evaluate the quotients

x = 7.5

Hence, the choice in the solution set of the equation 4x = 30 is x = 7.5

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PLEASE ANSWER DUE IN 30 MINS ALSO BRAINLIEST THANK YOU
write these as an algebraic expression:
42 is the product of 6 and y
The difference of x and 15 is 62.

Answers

Step-by-step explanation:

part 1

6y = 42

part 2

x - 15 = 62

product means multiplication and difference means subtraction.

hope this helps

Which statements describe one of the transformations performed on f(x) = x^2 to create g(x) = (x - 2)^2 + 5? Choose all that apply.

A. A translation of 5 units up

B. A translation of 2 units to the right

C. A translation of 2 units to the left

D. A translation of 5 units down

Answers

A and B
you’re welcome

A point that is exterior to an angle is found on the acute side of the angle. true of false?​

Answers

A point that is exterior to an angle is found on the acute side of the angle which is true.

What is an angle?

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

We know that the sum of the exterior angle and interior angle is equal to 180 degrees.

"If one of the exterior angles is an acute angle, then the corresponding interior angle is an obtuse angle."

A point that is exterior to an angle is found on the acute side of the angle which is true.

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What are two points on the line

Answers

Answer:

(0, 3) (3, 0)

Situation:
Tina wants to save money for school.
Tina invests $400 in an account that
pays an interest rate of 8%.
A = P(1+r)¹
P= amount of money invested
r = interest rate percentage in decimal form
t = time in years
A = total money in the account at timet
How many years will it take for the account to
reach $5,500? Round your answer to the nearest
hundredth.
Enter the correct answer.
DONE

Answers

It will take 4 year for the account to reach $5,500.

How to find the amount?

The formula we use to calculate the amount is

A = P(1+r)¹

Where, P= amount of money invested

r = interest rate percentage in decimal form

t = time in years

A = total money in the account at time

Tina wants to save money for school.

Tina invests $400 in an account that pays an interest rate of 8%.

A = P(1+r)¹

5500 = 400(( 1 + 0.08)^t

5500/ 400 = ( 1 + 0.08)^t

55/ 4 = (1.08)^t

13.75 = (1.08)^t

t = 4

It will take 4 year for the account to reach $5,500.

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As a preliminary measure, you want to review only the top 25% of applicants on the basis of of standardized test scores. How does calculating the z-score provide additional information regarding how each subject did overall. Provide specific examples of how you would use the information and interpret the scores

Answers

Calculating the z-score provides additional information regarding how each subject did overall as the z-score takes dispersion into account.

What is a z score?

Z-score indicates how much a given value differs from the standard deviation.  For example, the mean of a test could be a 73 and if a student scored an 85, that's great.

However, if the data is not spread out, that 85 could be the highest in the class by 10 points. That's much more information than just 15 points above the mean. This way you can tell when someone not only did well but did exceptionally well in comparison to his or her peers.

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The population of a certain city was 4001 in 1999. It is expected to decrease by about 0.37% per year. Write an exponential decay function, and use it to approximate the population in 2027

Answers

An exponential decay function, and use it to approximate the population in 2027 is P(t) = 4001e^-(0.0037)(28) = P(t) = 4001e^-0.1036

Exponential equation

The standard exponential function is expressed as:

P(t) = P0e^-rt

P0 is the initial population = 4001r is the rate. = 0.37% = 0.0037t is the time

Substitute

P(t) = 4001e^-(0.0037)t

If t = 28 (by 2027)

An exponential decay function, and use it to approximate the population in 2027 is P(t) = 4001e^-(0.0037)(28) = P(t) = 4001e^-0.1036

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A rectangular deck has a length of 12 feet and a perimeter of 36 feet. What is the deck's width and area?

Answers

Answer:

Deck's width is 6 feet.The area is 72 sq. ft.

Step-by-step explanation:

First, label it out:

Length: 12 ft.Width: ?Area: ?Perimeter: 36 ft.

Then, we add up 12 twice (Since the length is on 2 sides):

12 + 12 = 2436 - 24 = 1212 - ? = ?

Now, we write down a 6 in the ?:

12 - 6 = 6.

Width = 6.

We are not done!

Now, we have to solve for area.

12 * 6= 72Answers are:Area = 72 sq. ft.Width = 6 ft.

At a highschool in a class of 235 students, 90 pass Mathematics, 85 pass English and 78 pass both courses. What’s the probability that a random student passed either Mathematics or English or both? ((Union question)

Answers

Answer:

  41.3%

Step-by-step explanation:

The probability of interest is found by dividing the number of students passing either course by the total number of students.

The number passing only one of the courses is the number passing that course, less the number passing both courses. This is shown in the attached 2-way table.

__

The number passing either course will be the sum of the number passing one course (including the number passing both courses), and the number passing only the other course. It can also be found as the sum of the numbers passing either course, less the number passing both courses (since the latter would be counted twice).

Here those passing either (or both) Math or English will be ...

  90 +(85 -78) = 85 +(90 -78) = (90 +85) -78 = 97

So, the probability is ...

  p(passing either M or E) = 97/235 = 0.41277 ≈ 41.3%

Which number line shows the solution set for 1h-21 = 4?

Answers

Answer: Option 2

Step-by-step explanation:

[tex]|h-2|=4\\\\h-2=\pm 4\\\\h=-2, 6[/tex]

City there are 244,000 48-year-olds. Based on the table below how
many are not expected to be alive in a year?

Answers

Answer:

405

Step-by-step explanation:

It tells in the table.

A small plane flew 808 miles in 4 hours with the wind. Then on the return trip flying against the wind it travels only 488 miles in 4 hours. What were the wind velocity and speed of the plane?

Answers

Answer:

Step-by-step explanation:

let wind velocity=x

speed of plane=y

(x+y)*4=808

x+y=808/4=202   ...(1)

(y-x)*4=488

y-x=122 ...(2)

add (1) and (2)

2y=202+122=324

y=324/2=162

from (1)

x+162=202

x=202-162=40

wind velocity=40 m/hr

speed of plane=162 m/hr

Daryl was prescribed 14 antibiotic take one tablet daily for 14 days there's 8 pills left what fraction of the prescription has he taken

Answers

Answer:

3/7

Step-by-step explanation:

He took 6 out of 14 so that is 6/14 then simplify it to 3/7

1
Select the correct answer.
Can triangle A be mapped onto triangle B using rigid transformations?
B
A

Answers

Answer: A

Step-by-step explanation:

Since the triangles are congruent by HL, we know that there is a sequence of rigid motions.

By inspection, we know this sequence involves rotating triangle A 90 degrees clockwise and then translating it right.

Find the area of a regular

polygon with 8 sides that has a

the side length of 4 inches and an

apothem of 5 inches.


Area = [?]in2

Answers

Answer:

  80 in²

Step-by-step explanation:

When side length and apothem of a regular polygon are given, the applicable area formula is ...

  A = 1/2Pa

where P is the perimeter of the polygon, and 'a' is its apothem.

__

The perimeter of a regular 8-sided polygon will be 8 times the side length, so the area is ...

  A = 1/2(8×4 in)(5 in) = 80 in²

6x³ + 3x
how do you factor out the GCF in this question??

Answers

hope this helps, comment if you have any questions:)))

Hi student, let me help you out! :)

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

We are asked to factor out the GCF in the expression

[tex]\star~\star\mathrm{6x^3+3x}~\star~\star[/tex]

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

Divide every single term of the expression by the GCF (Greatest Common Factor).

So let's divide.

But first. we should work out the GCF.

Both terms have 3x in common, so we divide both terms by 3x:

[tex]\mathrm{6x^3+3x}[/tex]

[tex]\mathrm{3x(2x^2+1)}[/tex]

To ensure that we've factored correctly, we can always use the distributive property, distribute 3x and see whether or not we end up with [tex]\mathtt{6x^3+3x}[/tex].

So the answer is

[tex]\mathrm{3x(2x^2+1)}[/tex]

Notice I put parentheses around 2x²+1. This indicates that 3x is multiplied times both 2x² and 1.

Hope it helps you out! :D

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Is √13 + 4 rational or irrational?

Answers

Answer:

irrational

Step-by-step explanation:

what are rational numbers ?

every number that can be expressed as a/b, with a and b being integer numbers, and b different to 0.

the square root of any number that is not a squared rational number is then an irrational number.

I am not sure, if the expression here is

sqrt(13) + 4

or

sqrt(13 + 4), which would then be sqrt(17).

but in both cases we are creating the square root of a not- squared rational number.

neither 13 nor 17 are the result of a multiplication of a rational number with itself.

in fact, 13 and 17 are prime numbers with no other factors than either 1 or themselves.

so, both, sqrt(13) and sqrt(17) are irrational numbers.

adding or subtracting rational numbers to irrational numbers result again in irrational numbers.

Hi student, let me help you out! :)

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

We are asked to find out if [tex]\pmb{\sqrt{13} +4}[/tex] is rational or irrational.

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

Irrational numbers cannot be expressed as fractions (in [tex]\pmb{\cfrac{p}{q}}[/tex] form).

So, can we write [tex]\pmb{\sqrt{13} +4}[/tex] as a fraction? We can write 4 as a fraction, but we cannot write [tex]\pmb{\sqrt{13}}[/tex] as a fraction, because this number has infinitely many digits after the decimal point, and they never repeat; there's no pattern at all!

And even if we add 4, which is a rational number, to [tex]\pmb{\sqrt{13}}[/tex], we'll still get an irrational number.

Thus, [tex]\pmb{\sqrt{13}+4}[/tex] is irrational.

Hope it helps you out! :D

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WHAT IS THE VOLUME HELPPP!!!!!

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's find the volume of the given figure ~

[tex]\qquad \sf  \dashrightarrow \:Volume_{(cuboid)}= length \cdot width \cdot height [/tex]

[tex]\qquad \sf  \dashrightarrow \:Volume_{(cuboid)}= 4 \cdot x \cdot x [/tex]

[tex]\qquad \sf  \dashrightarrow \:Volume_{(cuboid)}= 4 {x}^{2} [/tex]

So, the correct choice is ~ C

L=xB=xH=4

Volume

LBH4(x)(x)4x²

Option C

Find the rule, and type the missing number in the sequence.

96, 192, ____, 384

Answers

Answer:

Missing number is 288, and the rule is +96

Step-by-step explanation:

First subtract 96 from 192, which is 96

then add that to 192 and the missing value is 288

you should also add 96 to 288 just to make sure it gets you to the last number which is 384.


interest on 2000 at 10% per 4years

Answers

Answer:

2,800

A = 2000(1 + (0.1 × 4)) = 2800

A = $2,800.00

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