a 25% tip was payed on a 30$ meal what is the amount of the tip

Answer:

AB = 8.66 m

Step-by-step explanation:

Here, we want to get the length AB

What we have is a right triangle

so to get the length AB, we are going to use the appropriate trigonometric ratio

From the question, AB faces the given angle and that makes it the opposite

AC faces the right angle and that makes it the hypotenuse

The relationship between the hypotenuse and the opposite can be defined by the sine

the sine of an angle is the ratio of the length of the opposite to the hypotenuse

so, we have it that;

sine 60 = AB/10

AB = 10 * sine 60

AB = 8.66 m

Answer:

it's 5

Step-by-step explanation:

Answer:

r = 5

Step-by-step explanation:

if x and y are proportional then 'y = rx' where 'r' is the constant of proportionality

35 = 7r

60 = 15r

100 = 20r

'r' is 5

The solution is Option C.

The graph which represents the inequality equation is

f ( x ) = { 0.50 , if x < 3

             1       , if 3 ≤ x < 6

             1.50  , if 6 ≤ x < 9

             2.00 , if 9 ≤ x < 12 }

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the number of years be = x

Let the increment in wages be = y

Now , the equation will be

For the employees that have been with the company for less than three years can expect to receive an increase of $0.50 per hour

So , the inequality equation is x < 3 , f ( x ) = 0.50

Employees that have been with the company for at least three years, but less than six years can expect an increase of $1.00

So , the inequality equation is 3 ≤ x < 6 , f ( x ) = 1

Employees that have been with the company for at six years, but less than nine years, receive an increase of $1.50 per hour

So , the inequality equation is 6 ≤ x < 9 , f ( x ) = 1.50

Employees of at least nine years, but less than twelve years receive an increase of $2.00

So , the inequality equation is 9 ≤ x < 12 , f ( x ) = 2

Therefore , the graph which represents the solution is Option C.

Hence , the inequality equation is 9 ≤ x < 12 , f ( x ) = 2

To learn more about inequality equations click :

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Answer:

It's 1,3

Step-by-step explanation:

Coordinate plane and x is 1 and y is 3

Answer:

(1,3)

Step-by-step explanation:

The spot where both lines intersect is the solution to the system of equations.

Hope that this helps!

The question is incomplete, the complete question is:

The elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the y-variable, and what is the solution for this system?

x + 3y = 42

2x − y = 14

A: Multiply the second equation by -3. The solution is x = 12, y = 9.

B: Multiply the second equation by -2. The solution is x = 12, y = 10.

C: Multiply the second equation by 2. The solution is x = 15, y = 9

D: Multiply the second equation by 3. The solution is x = 12, y = 10

Answer: The correct option is D.

Step-by-step explanation:

The elimination method is a technique wherein we eliminate the coefficient of any one variable.

The given equations are:

x + 3y = 42

2x − y = 14

We multiply the second equation by (3) and the equations formed are:

x + 3y = 42

6x − 3y = 42

The final equation after eliminating the y-term becomes:

7x = 84

x = 12

Putting value of 'x' in any of the original equation, we get:

⇒ 12 + 3y = 42

⇒ 3y = 30

⇒ y = 10

Hence, the correct option is D.

Answer:

C

Step-by-step explanation:

Find the graph that shows temperatures decreasing. Two of the graphs show that it's decreasing; C and D. When something is in a constant rate, it is going to be a straight line (doesn't mean it can't be slanted!). Therefore it is C.

Answer:

C. 8

Step-by-step explanation:

You double the distance of the x coordinate (ignore the sign in front of it) because you reflect it across the y-axis. So your math should look like this:

4*2= 8

Answer:

35x

Step-by-step explanation:

Start with parentheses, 2 x 1/2 = 1

9 x 4 = 36

36 - 1 = 35

Answer:

A

Step-by-step explanation:

just A

successive y values are 5 TIMES the previous y value

In all the others the y value is an ADDITION of the same amount to the previous y value

Step-by-step explanation:

hope the picture above help u to understand:)

Answer:

1st option

Step-by-step explanation:

Solving the inequality

5.25 - b ≥ 6.5 ( subtract 5.25 from both sides )

- b ≥ 1.25

Divide both sides by - 1, reversing the symbol as a result of dividing by a negative quantity.

b ≤ - 1.25

Since less than or equal to the number line will have a solid circle at - 1.25 and the arrow pointing left.

The solution is represented on the first diagram

Answer:  

30 + 6x inches

Step-by-step explanation:  

Let the required number be x

If the length of the triangle for the pool table is twice the sum of 5 and a number

L = 2(5+x)

L = 10+2x

Since the triangle is quadrilateral, this means that all sides are equal

Perimeter = 3L

Perimeter = 3(10+2x)

Perimeter = 30+6x

Hence the perimeter, in inches, of the triangle is 30 + 6x inches

Answer:

x+5y >5 => red

y< 2x+4 => blue

Step-by-step explanation:

you can substitute x and y in each inequality to determine

Rewrite 50% as a decimal : 0.50

Multiply the price by 0.50:

18 x 0.50 = 9

The sale price is $9

Answer:

$9

Step-by-step explanation:

price of an item=$18

discount=50%

sale price =? (be x)

sale price= original price -discount% of original price

x=$18 -50/100 * $18

x=$1800-$900/100

=$900/100

=$9

therefore sale price of an item is $9.

Answer:

{15, 16} or {-15, -16}

Step-by-step explanation:

Quick solution:

take half of the sum (approx. 240), sqrt(240)=15.5

So the numbers are 15 and 16.  and also the negative equivalents since squares are always positive.

Exact method:

Let

x=smaller integer,

x+1 = next integer.

sum:

x²⁺(x+1)^2 = 481

2x^2 + 2x + 1 = 481

2x^2 + 2x - 480 = 0

x^2 + x -240 = 0

x = 15 or x = -16

so the integers are

either

{15, 16} or {-15, -16}

The sum of the squares of two consecutive integers is 481 will be -15 & -16 and 15 and 16.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Successive numbers are those that follow one another continually, from lowest to biggest. For instance, the numbers 1, 2, 3, 4, 5, and so on are all consecutive.

Assume 'x' is the number and the successive number is (x + 1).

The sum of the square of the consecutive number is 481. Then the equation of the number is given as,

x² + (x + 1)² = 481

Simplify the equation, then we have

x² + (x + 1)² = 481

x² + x² + 2x + 1 = 481

2x² + 2x - 480 = 0

x² + x - 240 = 0

x² + 16x - 15x - 240 = 0

x(x + 16) - 15(x + 16) = 0

(x + 16)(x - 15) = 0

x = 15, -16

Then the successive numbers are given as,

x + 1 = 15 + 1

x + 1 = 16

x + 1 = - 16 + 1

x + 1 = - 15

More about the solution of the equation link is given below.

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Answer:

It should be 74+(-28) as 2 signs can bit be put together.

74+(-28)

=74-28 (sign only changes when there is (minus) before it

=48

We are not putting a minius (-) as 74 is digger that 28 and it has plus (+) before it.

I HOPE IT HELPS

HAVE A GREAT DAY

[tex]#Liliflim✌[/tex]

Answer:

The area of the label is 176,000 cm²

Step-by-step explanation:

The given parameters are;

The radius of the cylindrical container, r = 14 cm

The height of the cylinder, h = 20 m

The area covered with the label = The curved surface of the cylinder, A

The curved surface area of a cylinder, A = 2 × π × r × h

π = 22/7

∴ The curved surface area of the cylinder = A = 2 × 22/7 × 14 × 2000 = 176,000

A = 176,000 cm²

∴ The area of the label = The curved surface area of the cylinder = 176,000 cm².

Answer:

425000×0.0235=9987.5

379000×0.0235=8906.5

9987.5+8906.5=18894 that is the amount he gonna get

Answer:

76°

Step-by-step explanation:

Applying trigonometry :

Angle x ;

Tan x = opposite / adjacent

Tan x = (30/20)

x = tan^-1(30/20)

x = 56.31°

Angle y;

Tan y = opposite / adjacent

Tan y = (22/20)

x = tan^-1(22/20)

x = 47.73°

The angle θ ;

Sum of angles in a straight line = 180

56.31 + 47.73 + θ = 180°

θ = 75.96°

Answer:

4c

Step-by-step explanation:

c + c +c+c​

Factor out c

c(1+1+1+1)

c(4)

4c

Answer:

the answer to your first question is 235 degrees or B

the answer to your second question is 83 degrees

Step-by-step explanation:

for the first question simply add all of the angles

for the second question a straight line/angle is 180 degrees so simply subtract 97 from 180 to get 83 degrees

Answer:

[tex]x=-36[/tex]

Step-by-step explanation:

[tex]\frac{x}{6} +12=6[/tex]

[tex]\frac{-36}{6} +12=6[/tex]

[tex]-6+12=6[/tex]

Hence, x = -36

Answer:

X = -36

Step-by-step explanation:

x/6 + 12 = 6

-12         = -12

x/6 = -6

(6) = (6)

 x = -36

Answer:

x = 6

Step-by-step explanation:

The sum of the angles of a quadrilateral is 360

69+111+12x-3 +111 = 360

Combine like terms

12x+288=360

Subtract 288 from each side

12x+288-288 = 360-288

12x = 72

Divide by 12

12x/12 = 72/12

x = 6

Answer:

x = 6

Step-by-step explanation:

All angles together equal 360

Us this to set up your formula

360 = 111 + 111 + 69 + 12x-3

360 = 288 + 12 x

360 - 288 = 12x

72 = 12x

72/12 = x

6 = x

You could also use the fact that angle t and r are equal to set your formula up as

69 = 12x-3

69+3=12x

72=12x

72/12=x

6=x

Answer:

option A : about 2.8 units

Step-by-step explanation:

To find the distance from P to RQ , Find the distance from ( 1 , 1) to (3 , 3).

 [tex]Distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

                 [tex]= \sqrt{(3-1)^2 + (3-1)^2}\\\\= \sqrt{2^2 + 2^2 }\\\\= \sqrt{4 + 4 }\\\\= \sqrt{8}\\\\=2\sqrt{2}[/tex]

                 = 2.83 units

Answer:

A

Step-by-step explanation:

Remark

The distance you want is the point P to the (3,3). Then two lines meet as these two do, the shortest distance is the right angle distance. And that is how distance is defined.

Formula

d = sqrt( (x2 - x1)^2 + (y2 - y1)^2  )

Givens

x2 = 1

x1 = 3

y2 = 1

y1 = 3

Solution

d = sqrt( (1 - 3)^2 + (1  - 3)^2 )

d = sqrt( (-2)^2 + (-2)^2 )

d = sqrt ( 4 + 4)

d = sqrt(8)

d = 2√2

d = 2.8

20%

Hope this helps! :)

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