5sinA=4, find the value of tanA.​

Answers

Answer 1

Answer: tan A=4/3

Step-by-step explanation:

Theo đề ta có: 5sinA=4 suy ra: sinA=4/5, mà ta đã biết là: sinA= cạnh đối/cạnh huyền, suy ra: cạnh đối của góc A =4, cạnh huyền =5

Áp dụng định lí py ta go ta đc:

5^2=4^2+x^2

=) x=3

Vậy cạnh kề của góc A=3

Mà tanA = cạnh đối/cạnh kề

Vậy giá trị của tanA=4/3

(bạn vẽ hình ra thì có thể nhìn rõ hơn đấy, cảm ơn bạn đã tham khảo câu trả lời của mik)


Related Questions

Grace works as a salesperson at an electronics store and sells phones and phone
accessories, and makes a fixed commission for each phone sale and a different fixed
commission for each accessory sale. Yesterday Grace sold 18 phones and 21
accessories and made a total commission of $204. Today she sold 6 phones and 14
accessories and made a total commission of $82. Determine the price of each phone
and the price of each accessory.

Answers

We can use a system of linear equations to solve this. I will use the variable P for phones and A for accessories.

Our first equation is: 18P + 21A = 204. This is because she told 18 phones and 21 accessories yesterday which got her $204.

Our next equation is: 6P + 14A = 82. This is because she sold 6 phones and 14 accessories today which got her $82.

We can use elimination to solve this system. We can multiply the equation 6P + 14A = 82 by -3. This is so we can avoid sign errors if we multiply by 3. Our new equation is -18P - 42A = -246.

Next, we add that equation to 18P + 21A = 204. This gives us -21A = -42. Once we solve for A, by dividing by -21, we get A = 2.

Next, we can plug A into our equation. I will plug it into the second one. 6P + 14(2) = 82. This gives us 6P + 28 = 82. Once we get 6P alone, we get 6P = 54. Solving for P gives us 9.

One phone costs $9, and an accessory costs $2.

HELP!!!

2 + 4x = 30

Please do not just type the answer, please explain how you got it. Whoever explains best gets brainliest.

Answers

Answer:

x=7

Step-by-step explanation:

2+ 4x =30

-2          -2

0+ 4x =28

     4x= 28

4x divided by 4= 0

28 divided by 4 equals 7

x=7

All the workers in a company were asked a survey question. The two-way frequency table shows the responses from the workers in the day shift and night shift. Complete parts a and b.
Please don't ask me to download the answer​

Answers

A two-way relative frequency table  consists of two types of data or data in two categories one relating to the columns and the other relating to the rows.

Shift                                     Response                              

                          Yes                        No                        Total

Day            

                          67%                  33%                     100%

Night              

                           23%                      77%                    100%

Total            

                         45%                              55%              200%

In this table there is data relating to two categories day/ night and yes/no.

Along the rows the percentages of the day/night data are calculated.

Along the columns the percentages of the yes/no data are calculated.

Shift                                     Response                              

                          Yes                        No                        Total

Day                  67/100*100           33/100  *100           100

                             = 67%                  =33%                     100%

Night                23/100*100           77/100*100               100

                          = 23%                     =77%                        100%

Total              90/200 *100               110/200*100           200

                         = 45%                       =   55%                   200%

These calculations are done by dividing the row cells by their respective row totals.

Similarly the columns cells are filled by dividing the column cells with their respective column totals.

For more understanding of  two-way frequency table click

https://brainly.com/question/6985885

https://brainly.com/question/16410093

https://brainly.com/question/2815014

what is the vaule of y when x=28

Answers

Answer:

62

Because u do 180-90-28=62

53 1/3 in the form 53^n where n is a whole number

Answers

[tex] {53}^{ \frac{1}{3} } \\ [/tex]

Domain and Range of a linear function

Answers

Answer:

domain is the lenght of the road (in miles)

range is the number of days

Step-by-step explanation:

domain is the input because there building the road that is the input because the number of days is the output (range) because that is what happens from working on the roads (the input) what come out is the days they worked on the road

What is the value of |-7| - |3|

Answers

Answer:

4 is the correct answer

Step-by-step explanation:

|-7| = 7

|3| = 3

7 - 3 = 4

A worm wriggled forward
4
5
of an inch in 3 minutes. At that rate, how far would the worm go in 1 minute?

Answers

Answer:

4/15 of an inch

Step-by-step explanation:

=> At that rate, the distance the worm would go in 1 minute is:

D = (4/5)/3 = 4/(5x3) = 4/15 of an inch

Hope this helps

Have a great day

~Zero

Answer:

4/15 of an inch

Step-by-step explanation:

A worm wriggled forward 4/5 of an inch in 3 minutes.

=> At that rate, the distance the worm would go in 1 minute is:

D = (4/5)/3 = 4/(5x3) = 4/15 of an inch

Darren got 42 out of 56 questions correct on a test. What percent of the questions did he get correct?

Answers

Answer:

75%

42/56 =  42/56

Convert to decimal form:

42÷56 = 0.75

= 75%

Can you mark as brainliest if its right?

Answer:

75%

Step-by-step explanation:

42/56 = 0.75 = 75%

-9/12-(-1/3) A 8/9. B. -8/9. C 5/12 D -5/12

Answers

Answer:

-5/12/ D

Step-by-step explanation:

-9/12 -(-1/3)

turn 1/3 into a fraction with a similar denominator

-9/12-(-4/12)

-(- = addition (+)

-9+4= -5

-5/12

A business woman bought a stove for $1209.calculate the selling price of the stove if she made a profit of 11%. (B) the stove was damage in transporting it to the customer . determine the selling price of the stove if she incurred a loss of 8% on the cost price​

Answers

Answer: Look below

Step-by-step explanation:

10% = $120.90

1% = $12.09

11% = $132.99

$1,209 + $132.99 = $1,341.99

She made a $132.99 profit or $1,341.99

—————————————————————

8% = 96.72

$1,341.99 - $96.72 = $1245.27

————————————————

Or if it is $96.72 off the price she bought it then it would be

$1,209 - $96.72 = $1,112.28

Julio says, "If you subtract 17 from my number and multiply the difference by - 3, the result is - 36." What is Julio's number? ​

Answers

It would be 29, to solve this, you just have to reverse everything that was said, so there you would divide -36 by 3 and add 17

Answer:

Julio’s number is 29

Step-by-step explanation:

(x - 17) · -3 = -36

x - 17 = 12

x = 29

Check:

29 - 17 = 12 · -3 = -36

Is the answer 8? If so, what is the unit?

Answers

Step-by-step explanation:

that depends on the expected unit rate.

there are infinite correct answers to this as it is stated. including the initial numbers.

2 miles in 0.25 hours is by itself already a unit rate :

2 m/0.25h

but if we want it to be the classical miles per hour rate for speed, then we need to calculate how many miles she would have run with the same speed in 1 hour.

when we change the denominator of a fraction or ratio by multiplication, but want to keep the overall value of the fraction unchanged, then we need to apply the same factor also to the numerator.

what is the factor for 0.25 hours to create 1 hour ?

you know that 0.25 = 1/4.

0.25 × f = 1

f = 1/0.25 = 1 / 1/4 = 4

we need to multiply by 4 to get 1 hour as denominator.

therefore, by keeping the ratio value unchanged, the whole operation is then

2 m/0.25h × 4/4 = 8 m/1 hour = 8 m/h

the answer is therefore only 8, if we required mph or m/h as unit rate.

we could just as easily request "miles / 10 hours", and we would get 80 as answer. or 0.13 as per 0.13 miles/minute. and so on. infinite possibilities.

you see ? the question in that form is actually not complete.

-3(8+j)=-16+5j
HELP ASAP NEED THIS DONE TONIGHT BEFORE MIDNIGHT

Answers

Answer:

  j = -1

Step-by-step explanation:

Eliminate parentheses:

  -24 -3j = -16 +5j

Add 3j+16

  -8 = 8j

Divide by the coefficient of j.

  -1 = j

[tex]\rm⇢ \: \: - 3(8 + j) = - 16 + 5j[/tex]

[tex]\rm⇢ \: \: - 24 - 3j = - 16 + 5j[/tex]

[tex]\rm⇢ \: \: 5j + 3j = - 24 + 16[/tex]

[tex]\rm⇢ \: \: 8j = - 8[/tex]

[tex]\rm⇢ \: \: j = - 1[/tex]

A group of 120 seventh- and eighth-grade students were asked whether they participate in sports or in nonâ€"sports-related activities. The two-way table shows their answers. Participation in Sports or Non-Sports A 4-column table with 3 rows. The first column has no label with entries seventh grade, eighth grade, total. The second column is labeled sports with entries 39, 29, 68. The third column is labeled non-sports with entries 24, 28, 52. The fourth column is labeled total with entries 63, 57, 120. Which statement is correct? Twenty-nine seventh-grade students chose a sports activity. Twenty-eight eighth-grade students chose a sports activity. Twenty-four seventh-grade students chose a non-sports activity. Thirty-nine eighth-grade students chose a non-sports activity.

Answers

The true statement about the group of 120 seventh-and eighth-grade students is (c) twenty-four seventh-grade students chose a non-sports activity

The entries are given as:

                           Sports       Non Sports          Total

Seventh Grade:     39              24                    63

Eighth Grade:        29              28                    57

Total                       68              52                   120

From the above entries, we have the following highlights:

39 seventh-grade students chose a sports activity. 29 eighth-grade students chose a sports activity. 24 seventh-grade students chose a non-sports activity28 eighth-grade students chose a non-sports activity.

From the above highlights, we can conclude that the following statement from the options is true

(c) twenty-four seventh-grade students chose a non-sports activity

Read more about data representation at:

https://brainly.com/question/1592223

Answer:

c)

Step-by-step explanation:

a homeowners association charges a 4.65 fee for each day your payment is late if a bill was originally 103.55 and paid 22 days late then how much is owed to the home owners?

Answers

Answer:

207.1

Step-by-step explanation:

4.65×22=102.3

103.55+102.3= 207.1

can someone help me please?

Answers

Answer:

1) x = 3, y = 2 or (3, 2)

2) x = 0, y = 2 or (0, 2)

6) x = 3, y = – 4 or (3, – 4)

Step-by-step explanation:

I will only provide solutions for questions 1, 3, and 6 in accordance with Brainly's guidelines.

Question 1:  

[tex]\displaystyle\mathsf{\left \{ {{\:\:Equation\:1:\:y\:=\:-2x\:+\:5} \atop{Equation\:2:\:y\:=\:-x\:+\:2}} \right. }[/tex]  

Substitute the value of y in equation 2 into the first equation:

y = -2x + 5

-x + 2 = -2x + 5

Add 2x on both sides:

-x + 2x + 2 = -2x + 2x + 5

x + 2 = 5

Subtract 2 from both sides to isolate x:

x + 2 - 2 = 5 - 2

x = 3

Substitute the value of x into Equation 2 to solve for the value of y:

y = -x + 5

y = -(3) + 5

y = 2

Solution of the given systems of linear equations:

Therefore, the solution to the given systems of linear equations is: x = 3, y = 2 or (3, 2).

Question 3:

[tex]\displaystyle\mathsf{\left \{ {{Equation\:1:\:3x\:+\:5y=\:10} \atop{Equation\:2:\:y\:=\:-5x\:+\:2}} \right. }[/tex]

Substitute the value of y from Equation 2 into Equation 1:

3x + 5y = 10

3x + 5(-5x + 2) = 10

Distribute 5 into the parenthesis:

3x + -25x + 10 = 10

Combine like terms:

-22x + 10 = 10

Subtract 10 from both sides:

-22x + 10 - 10 = 10 - 10

-22x = 0  

Divide both sides by -22 to solve for x:

[tex]\displaystyle\mathsf{\frac{-22x}{-22}\:=\:\frac{0}{-22}}[/tex]

x = 0

Substiute the value of x into Equation 2 to solve for y:

y = -5x + 2

y = -5(0) + 2

y = 2

Solution of the given systems of linear equations:

Therefore, the solution to the given systems of linear equations is: x = 0, y = 2 or (0, 2).

Question 6:

[tex]\displaystyle\mathsf{\left \{\quad\:Equation\:1:\:-2x+6y=\:-30} \atop{Equation\:2:\:y-2x=\:-10}} \right.}[/tex]

Add 2x to both sides of Equation 2 to isolate y:

y – 2x = –10

y – 2x + 2x = 2x – 10

y = 2x – 10

Substitute the value of y from the previous step into Equation 1:

– 2x + 6y =  – 30

– 2x + 6(2x – 10) =  – 30

Distribute 6 into the parenthesis:

– 2x + 12x  – 60 =  – 30

Combine like terms:

10x – 60 =  – 30

Add 60 to both sides:

10x – 60 + 60 =  – 30 + 60

10x = 30

[tex]\displaystyle\mathsf{\frac{10x}{10}\:=\:\frac{30}{10} }[/tex]

x = 3

Substitute the value of x into Equation 2 to solve for y:

y – 2x = –10

y – 2(3) = –10

y – 6 = –10

y – 6 + 6 = –10 + 6

y = – 4

Solution of the given systems of linear equations:

Therefore, the solution to the given systems of linear equations is: x = 3, y = – 4 or (3, – 4).

Lightning struck seven times in four minutes during a storm. On average, the next storm had lightning strikes two more times per minute than the first storm. How many times did lightning strike in six minutes of the second storm?

Answers

Answer: Lightning struck 22.5 times in 6 minutes, of the second storm.

First Storm

7/4= 1.75 strikes per minute

Second Storm

1.75+2=3.75

3.75*6=22.5 strikes in the second storm

Answer

so uh

Step-by-step explanation:

thats how to solve

A forest covers 74,000 acres. A survey finds that 0.8% of the forest is old-growth trees. How many
acres of old-growth trees are there?

Answers

Answer:

592

Step-by-step explanation:

0.008(74,000)

592

Hope this helps!!

If I am wrong please tell me I enjoy learning from my mistakes:)

Answer:

592

Step by step explanation:

0.8% = [tex]\frac{8}{1000}[/tex]

8 out of every 1000 trees are old

74 * 8 = 592

What is the measure of 2C?
30
30
А
30
O A. 60°
O B. 90°
O C. Cannot be determined
D. 30°

Answers

Answer:

60

Step-by-step explanation:

All sides are equal, so all angles are equal.

All angles equal 60 because 180 ÷ 3 = 60

I hope this helps!!

Plzzz plzzzzzz help meeeee

Answers

Answer:
A.
Hope it helpsssÙnÚ

HELP!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

y = -1/2x+4

Step-by-step explanation:

y = 2x-1

This equation is in slope intercept form  y = mx+b  where m is the slope

m=2

A line perpendicular will have a slope that is the negative reciprocal

m = -1/2

Using the slope intercept form

y = mx+b

y = -1/2x+b

and the point given (2,3)

3 = -1/2(2)+b

3 = -1+b

4 =b

y = -1/2x+4  is the equation of a line that is perpendicular to the original line and contains (2,3)

Topic: Determining if given values are solutions to a two variable equation

Answers

Answer:

2. a & c

3. a, b & c

Step-by-step explanation:

Substitute each solutions to the question to see if you get the answer

a. 5(2)-0=10 -- so (2,0) is the solution

b. 5(3)-0=15 -- (3,0) is not the solution

c. 5(0)-(-10)=10 -- (0,-10) is the solution

d. 5(1)-(1)=4 -- (1,1) is not the solution

a. -(-4)+ 6(1) = 10 -- so (-4,1) is the solution

b. -(-22)+ 6(-2) = 10 -- so (-22,-2) is the solution

c. -(2)+ 6(2) = 10 -- so (2,2) is the solution

d. -(10)+ 6(0) = - 10 -- so (10,0) is not the solution

With a headwind a plane traveled 128 km in 2h. The return trip with a tail wind took 24 min less. Find the air speed of the plane. A. 64 km/h B. 72km/h C. 80km/h D. 88km/h E. 96km/h

Answers

Answer:

B

Step-by-step explanation:

128/2=64 mph

(the rate)

2 hr= 120 min

so.. 120-24= 96

and with the wind speed is r-c and without it is r+c because your going against the wind.

Find the inverse function. 1 f(x) = 1 = 2x+2 + f-1(x) = [? ]x + [​

Answers

Answer:

y= 2x - 1

Step-by-step explanation:

i hope that helps

Which expression is equivalent to 9(h + 2)?

Answers

Answer:

9h + 18

Step-by-step explanation:

9 multiplyed by h is 9h. 9 multiplyed by 2 is 18. Therefore it is 9h + 18.

(In , (c) in a group of students of them are Science Society members and the rest are Mathematics Society members of the Science Society 5 members or 16 of them are girls. Find the total number of Mathematics Society members. Dalam satu kumpulan murid, daripada mereka 9 ialah ahli Persatuan Sains dan selebihnya ialah ahli 2. Persatuan Matematik. daripada ahli Persatuan . 5 Sains atau 16 orang daripadanya ialah perempuan. Cari jumlah bilangan ahli Persatuan Matematik [3 marks / 3 markah) Answer / Jawapan:​

Answers

Answer:

50 students

Step-by-step explanation:

Given:

4/9 of students are Science Society membersThe rest are Mathematics Society members2/5 of Science Society members are girls = 16 people

Find the number of Science Society members:

2/5x = 16x = 16*5/2 = 40

Find the total number of group members:

4/9x = 40x = 40*9/4 = 90

Find the number of Mathematics Society members:

90 - 40 = 50

NO LINKS PLEASE. 18 POINTS! WHAT IS THE ANSWER TO 5 and 6 IN THE SCREENSHOT? PLEASE HURRY! P.S. BRAINLIEST

Answers

Answer:

#5 -1.75, 2.5, -0.2

#6 3 1/2, 2 1/4, -1/2

Step-by-step explanation:

Well when the opposite they mean if the number is positive it becomes negative, and if is negative it becomes positive. very simple happy to help :)

find the derivative of sin2X

Answers

Step-by-step explanation:

Derivation using Product rule : -

To find the derivative of f(x) = sin 2x by the product rule, we have to express sin 2x as the product of two functions. Using the double angle formula of sin, sin 2x = 2 sin x cos x. Let us assume that u = 2 sin x and v = cos x. Then u' = 2 cos x and v' = -sin x. By product rule,

f '(x) = uv' + vu'

= (2 sin x) (- sin x) + (cos x) (2 cos x)

= 2 (cos2x - sin2x)

= 2 cos 2x

This is because, by the double angle formula of cos, cos 2x = cos2x - sin2x.

Thus, derivation of sin 2x has been found by using the product rule.

Answer:

2cos2x

Step-by-step explanation:

Using the Chain rule

[tex]\frac{d}{dx}[/tex] (sin2x)

= cos2x × [tex]\frac{d}{dx}[/tex] (2x)

= cos2x × 2

= 2cos2x

If f(x) = -3 and g(x) = 4x2 + x - 4, find (f+9)(x).
2
A.
X
-1
A. 4x2 + 2x-1
B. 4x2 +
-7
C. 4x2 +2x-1
7
X-1
D. 6x2 - 7

Answers

Step-by-step explanation:

(f+g)(x) = f(x) + g(x) =

x/2 - 3 + 4x² + x - 4 = 4x² +3x/2 - 7

so, yes, B is the right answer.

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