Verify the identity. cot(x - pi/2) = -tan(x)

Answer:

Step-by-step explanation:

y = -5x + 3 ........... Equation 1

y = 1 ................ Equation 2

To solve the equation substitute equation 2 into equation 1

That's

Substitute y = 1 into y = - 5x + 3

So we have

1 = - 5x + 3

Group like terms

- 5x = 1 - 3

- 5x = - 2

Divide both sides by - 5

x = 2/5

Substitute x = 0.4 into equation 1

That's

y = - 5( 0.4 ) + 3

y = - 2 + 3

The solution for the system of equations is

Hope this helps you

Answer:

A. (0.4, 1)

Step-by-step explanation:

just took the edg. 2020 unit test

Answer:

A. <

Step-by-step explanation:

-9.5 is greater than -11.5

Answer:

A) <

less than

Step-by-step explanation:

-11.5 < -9.5

Answer:

20.78feet

Step-by-step explanation:

The question made us to understand that the man is standing and also there is angle of elevation, then we need to draw a right triangle having a base equal to 36 feet with an angle from the base to the top of the pole which is 30 degrees.

tan= opposite side / adjacent side

Let height of the pole =h

Tan(30)= h/36

But tan 30degree= 1/√3

h= 36 × 1/√3

h= 20.78feet

Therefore, the height of the pole= 20.78feet

CHECK THE ATTACHMENT FOR DETAILED FIGURE

Answer:

B. 12\sqrt{3} ft

Step-by-step explanation:

Answer:

peter: subtraction mistake at unit place . wrote 6 in place of 9

Jeff: subtraction mistake at tens place: wrote 4 while the correct digit is 3

peter: He has written 3 at unit place while correct digit is 2

John: he has carried 1 twice from 5 at hundred place and then subtracted 2 from it which gives value 1 at hundred place.

Step-by-step explanation:

we have to subtract 503 from 269

      9

  4 10 13

    503

   -269

    ____

     234

Solution

since 3 is less than 9 , we take a carry from 0 but 0 cannot be carries so we take 1 carry from 5\

thus

5 becomes 4, 0 becomes 10,

now 10 can be give  1 carry to 3 at unit place, so 3 becomes 13

now 9 is subtracted from 13

13-4 = 9

this is the mistake of Peter

he has written 6 at unit place which should be

peter: subtraction mistake at unit place . wrote 6 in place of 9

____________________________________________________

since , 1 is carried from 10 at tens place, 9 is left at tens place

so we know subtract 6 from 9 at tens place

9-6 = 3

Here mistake is done by Jeff

Jeff: subtraction mistake at tens place: wrote 4 while the correct digit is 3

________________________________________________

at hundred place,

one is taken from 5 , hence 4 is left at hundred place

we have to subtract 2 from 4

4-2 = 2

hence,

Here, mistake done by both both Peter and jeff

peter: He has written 3 at unit place while correct digit is 2

John: he has carried 1 twice from 5 at hundred place and then subtracted 2 from it which gives value 1 at hundred place.

Answer:

b=13

Step-by-step explanation:

2|208

2|104

2|52

2|26

 |13

208=2^4×13=16×13

now (16,13)=1

as a is an even number so a=16

b=13

∵g.c.d of 16 and 13=1

or (16,13)=1

Answer:

If it were an equation, it would be in the form ax+by+c=0, however if it were an inequality, instead of the equal sign it would be an inequality sign like greater than or less than.

Step-by-step explanation:

Answer:

D; b = -20.75

Step-by-step explanation:

Here in this question, we want to find solution to the given linear equation.

The linear equation is;

-83 = b4

Now, to find the value of b, we will need to divide both sides by its coefficient.

Looking at the question, the coefficient of b is 4

Mathematically, that would be :

-83/4 = b4/4

b = -83/4

b = -20.75

Answer:

b = -20.75

Step-by-step explanation:

Given:

-83 = b4

It can also be written as

-83 = 4b

divide both sides by the coefficient of b which is 4

-83 / 4 = 4b / 4

-20.75 = b

Therefore,

b = -20.75

Check:

-83 = b4

-83 = -20.75(4)

-83 = -83

Answer:

[tex]\boxed{6912 units^2}[/tex]

Step-by-step explanation:

Hey there!

Well using the given ratio,

3:4

And the area of the small shape we need to do,

72*72 = 5184

Now we can make the following fractions,

[tex]\frac{3}{4}[/tex] = [tex]\frac{5184}{x}[/tex]

Now we can solve,

3*x = 3x

4 * 5184 = 20736

3x = 20736

20736 / 3

x = 6912

So the area of the bigger shape is 6912 units^2

Hope this helps :)

Answer:

6.71cm

Step-by-step explanation:

a²+b²=c²

6²+3²=x²

sqrt(6²+3²)=6.71

Answer:

[tex]\Large \boxed{\sf 6.71 \ cm}[/tex]

Step-by-step explanation:

The triangle is a right triangle. We can use Pythagorean theorem to solve for the hypotenuse.

a² + b² = c²

a and b are the lengths of the legs. c is the length of the hypotenuse.

6² + 3² = x²

Evaluate.

36 + 9 = x²

45 = x²

Take the square root of both sides.

√(45) = √(x²)

6.7082039325... = x

Answer:

The outcomes of this binomial distribution that would be considered unusual is {0, 1, 2, 8}.

Step-by-step explanation:

The outcomes provided are:

(A) 0, 1, 2, 6, 7, 8

(B) 0, 1, 2, 7, 8

(C) 0, 1, 7, 8

(D) 0, 1, 2, 8

Solution:

The random variable X can be defined as the number of employees who judge their co-workers by cleanliness.

The probability of X is:

P (X) = 0.65

The number of employees selected is:

n = 8

An unusual outcome, in probability theory, has a probability of occurrence less than or equal to 0.05.

Since outcomes 0 and 1 are contained in all the options, we will check for X = 2.

Compute the value of P (X = 2) as follows:

[tex]P(X=2)={8\choose 2}(0.65)^{2}(0.35)^{8-2}[/tex]

                [tex]=28\times 0.4225\times 0.001838265625\\=0.02175\\\approx 0.022<0.05[/tex]

So X = 2 is unusual.

Similarly check for X = 6, 7 and 8.

P (X = 6) = 0.2587 > 0.05

X = 6 not unusual

P (X = 7) = 0.1373 > 0.05

X = 7 not unusual

P (X = 8) = 0.0319

X = 8 is unusual.

Thus, the outcomes of this binomial distribution that would be considered unusual is {0, 1, 2, 8}.

Hi there! Hopefully this helps!

----------------------------------------------------------------------------------------------------------

"Two more than five times a number x.​" means:

2 + 5 × x

Answer:

Option D

Step-by-step explanation:

Given

[tex](5, 7), (7, 11). (9, 14). (11, 18)[/tex]

Required

Determine if the function is quadratic

[tex](5, 7), (7, 11). (9, 14). (11, 18)[/tex]

Start by representing the function as an x-y table

x:-  5 || 7 || 9 || 11

y:-  7 ||  11 || 14 || 18

Next; Calculate the difference between the values of y

[tex]Difference: 11 - 7 = 4[/tex]

[tex]Difference: 14 - 11 = 3[/tex]

[tex]Difference: 18 - 4 = 4[/tex]

The resulting difference are: 4 || 3 || 4

Next; Calculate the difference between the difference of values of y

[tex]Difference = 3 - 4 = -1[/tex]

[tex]Difference = 4 - 3 = 1[/tex]

The resulting difference are: -1 || 1

For the function to be quadratic, the above difference must be the same and since they are not, then the function does not represent a quadratic function.

Option D answers the question

Answer:

x = [tex]\frac{3wyz}{4wz+wy-2yz}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2}{w}[/tex] + [tex]\frac{3}{x}[/tex] - [tex]\frac{4}{y}[/tex] = [tex]\frac{1}{z}[/tex]

Multiply through by wxyz to clear the fractions

2xyz + 3wyz - 4wxz = wxy ( subtract wxy from both sides )

2xyz + 3wyz - 4wxz - wxy = 0 ( subtract 3wyz from both sides )

2xyz - 4wxz - wxy = - 3wyz ( factor out x from each term on the left side )

x(2yz - 4wz - wy) = - 3wyz ( divide both sides by (2yz - 4wz - wy )

x = [tex]\frac{-3wyz}{2yz-4wz-wy}[/tex] ( multiply numerator/ denominator by - 1 )

x = [tex]\frac{3wyz}{4wz+wy-2yz}[/tex]

Answer:

30 crayons

Step-by-step explanation:

Let x be the number of crayons he started with

gave out 14 crayons

x-14

Got 12 back

x-14+12

Gave out 11 after lunch

x-14+12 -11

This equals 17

x-14+12 -11 =17

Combine like terms

x-13 = 17

Add 13 to each side

x -13+13 =17+13

x = 30

Answer: 30

Step-by-step explanation:

For this problem work backwards. Start from 17 and add 14. You should get 31. Then subtract 12, which equals 19. Finally add 11 to 19, which equals 30. Basically you are doing the inverse operation to get your answer. Hope this helps!

-5+6=1 because if it's not a normal equation it has a negative

Answer:

1

Step-by-step explanation:

When adding a negative and a positive number, subtract the biggest number from the smallest (ignore the signs), so :

[tex]6-5=1[/tex]

After you have your answer, keep the symbol of the bigger number (pay attention to the signs now). Since positive 6 is greater than negative 5, keep the positive. Add this symbol to the answer, making the answer positive.

[tex]-5+6=1[/tex]

Answer:

32

Step-by-step explanation:

Brainlist plz

Answer:

[tex]\Large \boxed{161\°}[/tex]

Step-by-step explanation:

Adjacent angles in a parallelogram add up to 180 degrees.

m∠Q and m∠S add up to 180 degrees.

m∠Q + m∠S = 180

m∠Q + 19 = 180

Subtract 19 from both sides.

m∠Q + 19 - 19 = 180 - 19

m∠Q = 161

Answer: 33

First you divide 55 by 5 to get the total number of squares in one part, which equals 11. Then you multiply by 3 since there are 3 parts of green squares to get your answer, 33.

Answer:

Step-by-step explanation:

Adding both equations

4x+5y+5y-4x=19+38

10y = 57

y= 5.7

Subtracting equation i from ii

5y-4x-4x-5y=38-19

-8x=9

x= -0.9

Answer:

2  1/4

Step-by-step explanation:

We need to see how much clay they used if each person in that group used 3/4 clay. There are 4 people in the group.

=> 3/4 x 4 = 12/4 =    3

Now, we need to see how much clay they used if each person in that group used 1/4 clay. There are 3 people in the group

=> 1/4 x 3 =   3/4

Now, we need to see how much more clay was used.

=>3 - 3/4

=> 3/1 - 3/4

=> Take the LCM of the denominators and make the denominators equal.

=> 12/4 - 3/4

=> 9/4

They used 9/4 more clay.

Since there are no options with 9/4, we need to make this improper fraction into a proper fraction.

=> 9/4 = 2  1/4

They used 2  1/4 more clay.

Answer:

Well, we can write a really simple quadratic polynomial as:

P(x) = a*(x - c1)*(x - c2)

Where a is a constat, and c1 and c2 are the roots, here we have:

c1 = 5 and c2 = -3

P(x) = a*(x -5)(x + 3) = a*x^2 + a*x*3 - a*5*x - a*15

then the quadratic polynomial can be:

P(x) = a*x^2 + a*(3 - 5)*x - a*15

P(x) = a*x^2 - 2*a*x - a*15

Where a can be any real number.

Answer:

52 / 5424 = 0.00958..

198 / 8549 = 0.0231 ..

Step-by-step explanation:

52 / 5424

First of all, you need to add 0 plus a coma → 0.

52 becomes 520, but this value is smaller than 5424, so we need to add another 0

5200 → another 0 → 52000

So now, we have 52000 / 5424.

We start,  5424 . 10 = 54240, we are higher than 52000, so let's try 9

5424 . 9 = 48816, great!

52000 - 48816 = 3184

This is smaller than 5424, so we need a zero, again. But we do not add 0 to the result, because we are in the decimal side

31840 → 31840 / 5424. We would try 6,

5424 . 6 = 32544. It's bigger!, We use 5

5424 . 5 = 27120!

31840 - 27120 = 4720. We get another 0

47200, and we try 8.

5424 . 8 = 43392

47200 - 43392 = 3808.

So we are going to add 0, until we have four digits that can be divided by 5424 and decimals are infinte.

52 / 5424 = 0.00958..

198 / 8549 → Need to add, the first 0 to convert 198 to 1980

1980 = 0. → Another zero

19800 = 0.0 → 19800 / 8549

We try 2 → 8549 . 2 = 17098

19800 - 17098 = 2702 → we add 0

27020 / 8549 → We try 3

8549 . 3 = 25647 → 27020 - 25647 = 1373 → we add 0

13730 / 8549 → We use 1 → 13730 - 8549 = 5181

As decimal are infinite, we can express the result as:

198 / 8549 = 0.0231 ..

Answer:

A = 15

B = -3

Step-by-step explanation:

3 ,7,11..... You add 4 each time so 11+4 is 15

12,7,2.... You take 5 each time so 2-5 is -3

Answer:

Step-by-step explanation:

Since < RQS = < QLK and < RQS = x

< QLK is also x

< QLK and < KLM lie on a straight line

Angles on a straight line add up to 180°

To find x add < QLK and < KLM and equate them to 180°

That's

< QLK + < KLM = 180°

x + x - 36 = 180

2x = 180 - 36

2x = 144

Divide both sides by 2

We have the final answer as

Hope this helps you

Answer:

$6.67

Step-by-step explanation:

$20/3 people

20/3

=6 2/3

=6.67

Each person gets $6.67.

Hope this helps!

Answer: Hi!

If you split a $20 dollar bill evenly in three parts, each person would get about $6.67 dollars. (If you divide 20 by 3, you get a recurring decimal, so it would round to 6.67.)

Hope this helps!

Answer:

1

Step-by-step explanation:

(-2)(1/4)=-1/2

(-2)(-1/2)

=1

the third term of the geometric sequence with first term = 1/4 and common ratio r = -2 is 1

We have a geometric sequence in which the first term is [tex]\frac{1}{4}[/tex] and the common ratio is -2.

We have to find the third term of this geometric sequence.

The formula to find the [tex]n^{th}[/tex] term of a geometric sequence with first term [tex]a_{1}[/tex] and common ratio r is -

[tex]a_{n} =a_{1} r^{n-1}[/tex]

In our question, [tex]a_{1}[/tex] = [tex]\frac{1}{4}[/tex]  and r = -2 and n =3.

Substituting the values, we get -

[tex]a_{3} =\frac{1}{4}(-2)^{3-1} = \frac{1}{4} (-2)^{2} =\frac{1}{4}\times4=1[/tex]

Hence, the third term of the geometric sequence with first term = 1/4 and common ratio r = -2 is 1.

To solve questions on geometric sequences, visit the link below -

https://brainly.com/question/4069689

#SPJ5

Answer:  3(7+12) - 2

Step-by-step explanation:

Answer:

Q10ii: x axis horizontal, y axis vertical, a straight line through the origin and point (5,20)

Q11i: z = 8y

Q11ii: y axis horizontal, z axis vertical, a straight line through the origin and (6,48)

Step-by-step explanation:

Linear proportions will always produce straight lines when graphed. Also, they will have to go through the origin when there is not some kind of offset.

Answer:

(7, 5)

Step-by-step explanation:

(x+5)/2, ( y-3)/2)=(6,1)

(x+5)/2=6, x= 7

( y-3)/2=1, y=5

Answer:

6b^2 +4b

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh

A = 1/2 * (3b+2) * (4b)

    =1/2 (12 b^2 +8b)

   = 6b^2 +4b

Answer:

F , D, E

Step-by-step explanation:

The smallest angle is opposite the smallest side

The largest angle is opposite the largest side

DE is smallest so F is smallest

Then EF so D

DF is largest so E is the largest angle