A company has 31 salespeople. A board member at the company asks for a list of the top 4 salespeople, ranked in order of effectiveness. How many such rankings are possible?

Answer:

step 2

Step-by-step explanation:

instead of subtracting 7 to the oposite side they set it aside to then later on add it towards the end.

Answer:

1. If x=5, 3*5=15, 15*15=225 + y (3) = 228.

2. If y=4, then 10*4 = 40, 4^2 is 16, so 40 + 16 is 56.

I might be wrong, but the first one you answered, x^2, x= 1/2, I think that is wrong. when something is squared, you don't go, "Oh, well since 1/2 equals 1, that's the answer." The way to figure out something like this is... 1/2 times 1/2, which is .25, or 1/4. Another example: 3^5 . The way to find this out is 3*3*3*3*3 = 243. But  you don't go 3*5, because that answer would be 15, which is not correct.

Answer:

The time would become 13:40

Step-by-step explanation:

8 in 8:40 is hours

40 in 8:40 is minutes.

Answer:

1:40pm

Step-by-step explanation:

Answer:

13.7%

Step-by-step explanation:

Percentage decrease = (3.65 - 3.15) / 3.65 * 100% = 13.7%

Answer:

180

Step-by-step explanation:

Given:

In ΔFGH, the measure of ∠H=90°, FH = 39, GF = 89, and HG = 80.

To find:

The ratio which represents the cotangent of ∠G.

Solution:

In a right angle triangle, the ratio of the cotangent of an angle is

[tex]\cot \theta =\dfrac{Base}{Perpendicular}[/tex]

It is also written as

[tex]\cot \theta =\dfrac{Adjacent}{Opposite}[/tex]

In ΔFGH, the measure of ∠H=90°. So,

[tex]\cot G =\dfrac{HG}{FH}[/tex]

[tex]\cot G =\dfrac{80}{39}[/tex]

Therefore, the ratio for the cotangent of ∠G is [tex]\cot G=\dfrac{80}{39}[/tex].

Answer:

Let [tex]\left(1+\frac{1}{\tan^{2}A} \right)\cdot \left(1+\frac{1}{\cot^{2}A} \right)[/tex], we proceed to prove the trigonometric expression by trigonometric identity:

1) [tex]\left(1+\frac{1}{\tan^{2}A} \right)\cdot \left(1+\frac{1}{\cot^{2}A} \right)[/tex] Given

2) [tex]\left(1+\frac{\cos^{2}A}{\sin^{2}A} \right)\cdot \left(1+\frac{\sin^{2}A}{\cos^{2}A} \right)[/tex]   [tex]\tan A = \frac{1}{\cot A} = \frac{\sin A}{\cos A}[/tex]

3) [tex]\left(\frac{\sin^{2}A+\cos^{2}A}{\sin^{2}A} \right)\cdot \left(\frac{\cos^{2}A+\sin^{2}A}{\cos^{2}A} \right)[/tex]    

4) [tex]\left(\frac{1}{\sin^{2}A} \right)\cdot \left(\frac{1}{\cos^{2}A} \right)[/tex]    [tex]\sin^{2}A+\cos^{2}A = 1[/tex]

5) [tex]\frac{1}{\sin^{2}A\cdot \cos^{2}A}[/tex]

6) [tex]\frac{1}{\sin^{2}A\cdot (1-\sin^{2}A)}[/tex]    [tex]\sin^{2}A+\cos^{2}A = 1[/tex]

7) [tex]\frac{1}{\sin^{2}A-\sin^{4}A}[/tex] Result

Step-by-step explanation:

Let [tex]\left(1+\frac{1}{\tan^{2}A} \right)\cdot \left(1+\frac{1}{\cot^{2}A} \right)[/tex], we proceed to prove the trigonometric expression by trigonometric identity:

1) [tex]\left(1+\frac{1}{\tan^{2}A} \right)\cdot \left(1+\frac{1}{\cot^{2}A} \right)[/tex] Given

2) [tex]\left(1+\frac{\cos^{2}A}{\sin^{2}A} \right)\cdot \left(1+\frac{\sin^{2}A}{\cos^{2}A} \right)[/tex]   [tex]\tan A = \frac{1}{\cot A} = \frac{\sin A}{\cos A}[/tex]

3) [tex]\left(\frac{\sin^{2}A+\cos^{2}A}{\sin^{2}A} \right)\cdot \left(\frac{\cos^{2}A+\sin^{2}A}{\cos^{2}A} \right)[/tex]    

4) [tex]\left(\frac{1}{\sin^{2}A} \right)\cdot \left(\frac{1}{\cos^{2}A} \right)[/tex]    [tex]\sin^{2}A+\cos^{2}A = 1[/tex]

5) [tex]\frac{1}{\sin^{2}A\cdot \cos^{2}A}[/tex]

6) [tex]\frac{1}{\sin^{2}A\cdot (1-\sin^{2}A)}[/tex]    [tex]\sin^{2}A+\cos^{2}A = 1[/tex]

7) [tex]\frac{1}{\sin^{2}A-\sin^{4}A}[/tex] Result

Answer:

D

Step-by-step explanation:

It is the change in time

Answer:

Step-by-step explanation:

85°

Answer:

60

Step-by-step explanation:

All the sides are equal

Answer:

slope is 0

Step-by-step explanation:

The slope of any horizontal line is zero, 0.

Answer: 8 students

Step-by-step explanation:

2/5 of 40 = 16

1/5 of 40 = 8

16 - 8 = 8

Answer:

8+4

Step-by-step explanation:

Hope this is helpful ! have an amazing day... God Bless you :)

Answer:

8x + 4

Step-by-step explanation:

To answer, we have to make sure to hand out the 4 evenly so that each number or variable within the parentheses gets multiplied by 4:

4(2x + 1) = 8x + 4

As you can see, we multiplied each number inside by the number outside, and we got 8x + 4 as our answer.

Hope this helps :)

9514 1404 393

Answer:

  y = 2/3x -20/3

Step-by-step explanation:

The perpendicular line will have a slope that is the opposite of the reciprocal of the slope of the given line:

  -1/(-3/2) = 2/3

You can use the point-slope form to write the equation of that perpendicular line.

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

  y +2 = 2/3(x -7) . . . . . the equation of the perpendicular line

__

This can be put into slope-intercept form by solving for y and simplifying.

  y +2 = 2/3x -14/3

  y = 2/3x -20/3

Answer:

32

Step-by-step explanation:

We need to find 12k - h² , where

Subsitute upon respective values ,

=> 12k - h² = 12*3 - 2²

=> 12k - h² = 36 - 4

=> 12k - h² = 32

Answer:

sorry dont know

Step-by-step explanation:

Answer:

c=3

Step-by-step explanation:

Answer:

x^2-5x + 6

Step-by-step explanation:

Here, we want to expand the given expressions

To do this, we multiply each term in the first bracket with each term in the second

We then proceed to collect like terms

We have this as;

x(x-3) - 2(x-3)

= x^2 - 3x -2x + 6

= x^2 -5x + 6

Answer:

30f+25 I hope it is a right answers

I hope this answers is useful for you

Answer:

0.87

Step-by-step explanation:

y = ab^x

b is the rate of decay if it is between 0 and 1. Here, b = 0.87.

Answer: 0.87

Answer:

y=5

Step-by-step explanation:

It has same slope of y=3, which means it is also a horizontal line. A horizontal slope will only have one y value. So, if we use the point (1, 5), we can say that the equation is y=5.

Answer:

30/40 and 12/16 are equivalent fractions.

Answer:

7/24

Step-by-step explanation:

in order to get the fraction, you need to add all of the books read together; you should get 120.

Then add all of the books read in even classes(2nd grade and 4th grade) and you should get 35.

Then place 35 on top of 120 to form the fraction: 35/120.

Then simplify the fraction by finding the greatest common factor, which is 5, and divide 35 and 120 by 5 to get 7 and 24.

Answer:

14units

Step-by-step explanation:

Let the vertices of a rectangle be A(3, 1), B(3, 5), C(6, 5), and D(6, 1).

Using the formula for calculating distance between two points;

AB =√(5-1)²+(3-3)²

AB = √4²

AB = 4

BC = √(5-5)²+(6-3)²

BC = √3²

BC =>3

CD = √(1-5)²+(6-6)²

CD = √(-4)²

CD = √16

CD = 4

AD= √(1-1)²+(6-3)²

AD = √3²

AD = √9

AD =3

Perimeter of the rectangle = AB+BC+BD+AD

Perimeter of the rectangle = 4+3+4+3

Perimeter of the rectangle = 14units

Answer:

horizontal shift left of 8 units.

Step-by-step explanation:

I'm gonna infer that the f(x + 8) is squared. If so, then it is a horizontal shift left of 8 units.

Answer:

Radical expressions must be simplified before adding or subtracting so that you are combining “like terms”. In the same way that 2x2 and 3x cannot be combined because they are not like terms, terms involving radicals cannot be combined unless the value under the radical is the same for both terms.

Answer:

20

Step-by-step explanation:

x+8x=180

9x=180

x=20

The measure of angle  A is 20°.

A parallelogram is a geometric object with sides that are parallel to one another in two dimensions. It is a form of a polygon with four sides (sometimes known as a quadrilateral) in which each parallel pair of sides have the same length.

Given the parallelogram ABCD,

the measures of angles A and B are in the ratio 1:8,

the ratio of ∠A to  ∠B = 1/8

since the angle are  in the ratio they have a common multiple, say x

∠A = x

∠B = 8x

and the sum of adjacent angles of a parallelogram is 180°.

∠A + ∠B = 180°

x + 8x  = 180

9x = 180

x =180/9

x = 20°

Hence the value of angle A is 20°.

Learn more about parallelogram;

brainly.com/question/29147156

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