5sinA=4, find the value of tanA.​

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]

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

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!!

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

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:

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:

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

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

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 :)

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

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

Answer:

62

Because u do 180-90-28=62

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

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

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%

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

Answer:

9h + 18

Step-by-step explanation:

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

Answer:

y= 2x - 1

Step-by-step explanation:

i hope that helps

Answer:

Step-by-step explanation:

Given:

Find the number of Science Society members:

Find the total number of group members:

Find the number of Mathematics Society members:

Answer:

4 is the correct answer

Step-by-step explanation:

|-7| = 7

|3| = 3

7 - 3 = 4

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.

[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

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

[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

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

[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

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

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

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

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.

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.

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)

Answer:

207.1

Step-by-step explanation:

4.65×22=102.3

103.55+102.3= 207.1

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.