What is the greatest common factor shared by 40 and 20?
Answer here
SUBMIT

an employee's overtime rate is 1.5 times their regular rate, but this can vary depending on the company and jurisdiction. Once the overtime rate is known

what is regular rate?

Regular rate refers to the standard hourly wage that an employee receives for their regular, non-overtime work. This is the base rate of pay that an employer agrees to pay an employee for their normal working hours

In the given question,

In order to determine how much Ashley made in overtime, we would need to know her overtime rate and the number of overtime hours she worked. Without this information, it is not possible to calculate the amount she earned in overtime.

Typically, an employee's overtime rate is 1.5 times their regular rate, but this can vary depending on the company and jurisdiction. Once the overtime rate is known, we could multiply the overtime rate by the number of overtime hours worked to determine the amount earned in overtime.

To know more about  regular rate , visit:

https://brainly.com/question/15146389

#SPJ1

14)The sum of the tangent and the sine of the angle is obtained as 1.21.

15)The area of the segment is 95.6 m^2 while the perimeter of the segment is 11.047 m.

16)The angle opposite the largest side is  130°.

The trigonometric ratios are the ratios that are designated as cos, tan and sine. It is important to note that the  trigonometric ratios are particular to the right angled triangle. The meaning of the right angle triangle is that one of the angles in the triangle is about 90 degrees.

14)) We can find the hypotenuse by the use of the Pythagoras theorem that is used to find the parts of the right angle triangle.;

a = √2^2 + 3^2

a = √ 4 + 9

a = 3.6

We know that;

tan θ = 2/3 = 0.66

sin θ = 2/3.6 = 0.55

Then;

tan θ + sin θ

0.66 + 0.55

= 1.21

We can see by the use of the trigonometric ratios that we would obtain the sum of the sine and the tangent as 1.21.

15)

The area of the segment is obtained as;

Area of the triangle;

1/2r^2 sinθ

r= radius of the circle

θ = angle of inclination

1/2 * (10)^2 * sin 60

= 43.3

Area of the sector;

60/360 * 3.142 * (10)^2

= 52.3

Therefore the area of the triangle is;

43.3 +  52.3 = 95.6 m

b)The perimeter of the segment;

(2πr * θ/360) + 2rsin(θ/2)

(2 * 3.142 * 60/360) + (2 * 10 * sin (60/2))

1.047 + 10

= 11.047 m

16)

Using;

c^2 = a^2 + b^2 - 2abcos C

20^2 = 13^2 + 9^2 - 2(13 * 9) cos C

400 = 250 - 234cosC

400 - 250 = - 234cosC

150 =  - 234cosC

Cos C = -(150/234)

C = Cos-1-(150/234)

C = 130°

Learn more about trigonometric ratios:https://brainly.com/question/25122825

#SPJ1

Unit Rate

It measures how much one quantity varies with respect to another.

We are interested in calculating the unit rate that measures the number of kilometers that Bandile's large truck uses by liter of fuel. It's called the efficiency.

We calculate the unit rate as the division of both quantities. The truck uses 20 liters per 100 kilometers. The efficiency is:

The efficiency of Bandile's large truck is 5 km per liter

Answer: The function would have a minimum value because the least you will ever have is 0$. It cannot go below 0, so that is the minimum. However, depending on how much time has passed, the maximum amount of money you have can change. It can always go up more, so there is no set maximum.

Step-by-step explanation:

Answer:

99 yeah yeah

Step-by-step explanation:

okayyyyyyy

The length of a side of the square-shaped table is 1.5 meters.

To find the length of a side of the square-shaped table, we need to calculate the square root of the given area.

The area of a square is given by the formula:

Area = side length * side length

In this case, we have:

Area = 144/64 square meters

To find the side length, we take the square root of the area:

√(144/64) square meters

To simplify the calculation, we can express 144 and 64 as the square of their factors:

√((12^2)/(8^2)) square meters

Taking the square root of the numerator and the denominator separately, we have:

(√12^2) / (√8^2) square meters

Simplifying further, we get:

12/8 square meters

The fraction 12/8 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 4:

(12 ÷ 4) / (8 ÷ 4) square meters

3/2 square meters

Therefore, the length of a side of the table is 3/2 square meters or 1.5 meters.

For more such question on length visit:

https://brainly.com/question/28322552

#SPJ8

Answer:

The expected value for this game is -$0.75, indicating that, on average, players would expect to lose $0.75 per game.

Step-by-step explanation:

Expected Value = (Probability of Winning * Payout for Win) - Cost of Playing

In this case:

Probability of Winning = 0.05

Payout for Win = $5

Cost of Playing = $1

Expected Value = (0.05 * $5) - $1

Expected Value = $0.25 - $1

Expected Value = -$0.75

The equation that is equivalent to the expression 7-2(3x+4)=8x is

-6x - 1 = 8x.

Option B is the correct answer.

We have,

To find the equation that is equivalent to 7-2(3x+4)=8x, simplify the given equation by applying the distributive property and combining like terms.

7 - 2(3x + 4) = 8x

First, distribute the -2 to the terms inside the parentheses:

7 - 6x - 8 = 8x

Combine like terms:

-6x - 1 = 8x

Thus,

The equation that is equivalent to the expression 7-2(3x+4)=8x is

-6x - 1 = 8x.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ4

The equivalent equations  are;

For equations to be equivalent they must be reduced to obtain the same terms. Thus if the terms that are found on an equation are not similar it is not possible to think that the equations are by any means equivalent.

Given the four equations as we have them in the question, the following equations are equivalent;

Learn more about equivalent equations;https://brainly.com/question/28263804?

#SPJ1

Answer:

E

Step-by-step explanation:

Answer:

It would be 2x^2 - x -2 + 3/x-2.

12.8 km per hour

51.2 km in 4 hours

The mean is  2,071,798.33

The Median is 1,485,552

The range is 7,425,310

The standard deviation is given as 1961105.68

Mean = (Sum of all populations) / (Number of cities)

= (8,336,817 + 979,576 + 2,693,976 + 2,320,268 + 1,680,992 + 1,584,064 + 1,547,253 + 1,423,851 + 1,343,573 + 1,021,795 + 978,908 + 911,507) / 12

= 24,861,580 / 12

= 2,071,798.33

To find the median, we need to arrange the populations in increasing order and find the middle value. If we arrange these values, we get:

911,507, 978,908, 979,576, 1,021,795, 1,343,573, 1,423,851, 1,547,253, 1,584,064, 1,680,992, 2,320,268, 2,693,976, 8,336,817

Since there are 12 cities (an even number), the median would be the average of the 6th and 7th values:

Median = (1,423,851 + 1,547,253) / 2

= 1,485,552

The mode isn't applicable here as no city population repeats.

The range is the highest population minus the lowest population:

Range = 8,336,817 - 911,507

= 7,425,310

Standard deviation  =  (911507- 2068548.3333333)² +  (978908 - 2068548.3333333)² + (979576  - 2068548.3333333)²  + ( 1021795 -  2068548.3333333)² +  (1343573- 2068548.3333333)²  +( 1423851- 2068548.3333333)² + (1547253- 2068548.3333333)² +( 1584064- 2068548.3333333)² + (1680992- 2068548.3333333)² + ( 2320268- 2068548.3333333)²  +(2693976- 2068548.3333333)² +( 8336817 - 2068548.3333333)² / 12

= 46151226311869 / 12

=  3845935525989.1

\(standard deviation = \sqrt{ 3845935525989.1}\)

=  1961105.6896529

Read more on mean , mode and median here https://brainly.com/question/14532771

#SPJ1

25% percent of the females in Math town have brown eyes. To find the number of females with brown eyes, we need to subtract the number of males with brown eyes from the total number of people with brown eyes

what is percent  ?

A percent is a way of expressing a number as a fraction of 100. The symbol for percent is %, which means "per hundred".

In the given question,

Let's assume that there are 100 people in Math town.

60% of them are males, so there are 60 males and 40 females.

Out of the 60 males, 30% have brown eyes, so there are 18 males with brown eyes.

28% of the entire population have brown eyes, so there are 28 people with brown eyes.

To find the number of females with brown eyes, we need to subtract the number of males with brown eyes from the total number of people with brown eyes:

28 - 18 = 10

So, there are 10 females with brown eyes.

Out of the 40 females in Math town, what percentage have brown eyes?

10 brown-eyed females out of 40 females is:

10/40 = 0.25 or 25%

Therefore, 25% of the females in Math town have brown eyes.

To know more about percent , visit:

https://brainly.com/question/28670903

#SPJ1

The Relative Maximum will be (7, 50) and minimum is (12, 0).

We have the graph showing average low temperatures in international falls minnesota.

From the graph the maximum y coordinate is 50.

So, the Relative Maximum will be (7, 50).

and, the minimum y coordinate is 0.

So, the Relative minimum is (12, 0)

Learn more about Relative Maximum and Minimum here:

https://brainly.com/question/29158306

#SPJ1

Answer:

Height = 64 feet

Step-by-step explanation:

(***It's very important to model these kinds of problems.  I attached a picture modeling the problem so show how modeling makes it easier to solve the problem)

We know that the building is vertical, and the ground is horizontal.  Thus, the ground and the building make a right angle.  

Therefore, the top of the building, the base of the building, and the surveyor form a right triangle, where

Because we're working with a right triangle, we can now find h, the heigh of the building using one of the trigonometric ratios.

We know that the angle of elevation is made by the ground and the distance between the surveyor and top of the building.

When the 65° (angle of elevation) is our reference angle, the height of the building is the opposite side and the distance between the base of the building and the surveyor is the adjacent side.

Thus, we can use the tangent ratio, which is:  tan (θ) = opposite / adjacent:

We can now plug in 65 for θ and 30 for the adjacent side.  This will allow us to find the opposite side, which is the heigh of the building:

tan (65) = h / 30

30 * tan(65) = h

64.33520762

64 = h

Thus, the height of the building to the nearest foot is 64 feet.

Using the trapezoidal rule with 5 ordinates, we approximate the integral [sin(x²+1) dx] over the interval [0,1] to be 0.5047 to 4 decimal places.

To approximate the integral [sin(x²+1) dx] using the trapezoidal rule with 5 ordinates, we can use the following formula:

∫[a,b]f(x)dx ≈ [(b-a)/2n][f(a) + 2f(a+h) + 2f(a+2h) + 2f(a+3h) + 2f(a+4h) + f(b)]

where n is the number of ordinates (in this case, n = 5), h = (b-a)/n is the interval width, and f(x) = sin(x²+1).

First, we need to find the interval [a,b] over which we want to integrate. Since no interval is given in the problem statement, we'll assume that we want to integrate over the interval [0,1].

Therefore, a = 0 and b = 1.

Next, we need to find h:

h = (b-a)/n = (1-0)/5 = 0.2

Now, we can apply the trapezoidal rule formula:

∫[0,1]sin(x²+1)dx ≈ [(1-0)/(2*5)][sin(0²+1) + 2sin(0.2²+1) + 2sin(0.4²+1) +             2sin(0.6²+1) + 2sin(0.8²+1) + sin(1²+1)]

≈ (1/10)[sin(1) + 2sin(0.05²+1) + 2sin(0.15²+1) + 2sin(0.35²+1) + 2sin(0.65²+1) + sin(2)]

≈ (1/10)[0.8415 + 2sin(1.0025) + 2sin(1.0225) + 2sin(1.1225) + 2sin(1.4225) + 1.5794]

≈ 0.5047

Therefore, using the trapezoidal rule with 5 ordinates, we approximate the integral [sin(x²+1) dx] over the interval [0,1] to be 0.5047 to 4 decimal places.

Learn more about Trapezoidal Rule at

brainly.com/question/30401353

#SPJ1

1. Figure STUV is congruent to Figure KLMN because rigid motions can be used to map Figure STUV onto Figure KLMN.

2. Figure STUV is also similar to Figure KLMN because rigid motions and/or dilations can be used to map Figure STUV onto Figure KLMN. The scale factor is 2.

When it is said that two figures are congruent, like the ones shown on the graph, This means that they have the same shape and size.

Similar figures have the same shape, but they may have different sizes and be located in different positions.

Find more exercises on congruent figures;

https://brainly.com/question/29193622

#SPJ1

The side and angles of the right triangle are as follows:

1. 5 units

2. 5 units

3. tan ∅ = 4 / 5

The side of a right triangle can be found using Pythagoras's theorem and the angles of a right angle triangle can be found using trigonometric ratios as follows:

c² = a² + b²

where

Therefore,

1.

c² = 4² + 3²

c = √16 + 9

c = √25

c = 5 units

2.

a² = 13² - 12²

a = √169 - 144

a = √25

a = 5 units

3.

tan ∅ = opposite / adjacent

tan ∅ = 4 / 5

learn more on right triangle here: https://brainly.com/question/30966657

#SPJ1

Answer:

the probablity of rolling a number greater than 18 is 0

Step-by-step explanation:

mark me as brainliest

Answer:

The probability is 0 since there is no outcome that gives him a role greater than 18

Please mark as braniest if this is what you are looking for

Using proportions, it is found that you need an income of $124,722.22 to claim a $22,450 contribution in 2011.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

To claim a $22,450 contribution in 2011, this amount has to be 18% of your income, hence:

0.18x = 22450

x = 22450/0.18

x = $124,722.22.

You need an income of $124,722.22 to claim a $22,450 contribution in 2011.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Answer: f=32+9/5c,c=r

Step-by-step explanation:

The values under and inside the radical is 4 and 129 respectively

A quadratic equation is any equation that can be rearranged in standard form as where x represents an unknown value, and a, b, and c represent known numbers. One supposes generally that a ≠ 0; those equations with a = 0 are considered degenerate because the equation then becomes linear or even simpler.

A quadratic equation is given as ax²+ bx+ c=0

this can be solved using formula x=( -b±√b²-4ac)/2a.

in the equation 2x²-10=7x, it can be Rearranged As 2x²-7x-10= 0

a= 2, b= -7 and c= -10

x= -(-7)±√(-7)²-4×2×-10)/2×2

x= 7±√49+80)/4

x= 7/4 ± √129/4

therefore the values inside and under the radical is 129 and 4

lear more about quadratic equation from

https://brainly.com/question/28038123

#SPJ1

Answer: hope this helps . Check out the image I also have graph if u want

Step-by-step explanation:

Answer:

it's 2/3

Step-by-step explanation:

i have da proff

a)The total cost of a slice of pizza and a drink for $3.99 is $4.59.

b)The total cost of two hamburgers for $3.89 each, two orders of fries for $1.49 each, and two soft drinks for $1.29 each is $16.675.

c)$0.78 is saved for both the bills being separate.

Given that,

Restaurant tabs of $4 or less only include GST. Both taxes are applied to items costing more than $4.

Assume,

The HST rate is 15%.

The PST rate is 10%.

You can change as per your data.

a) we have to find the total cost of a slice of pizza and a drink for $3.99.

Slice of Pizza and drink is $3.99 < 4. So only HST would be only subjected.

Then the tax amount $3.99 x 15% = $0.5985

So, the total cost will be $3.99 + 0.5985 = $4.5885 = $4.59

b)We have to find the total cost of two hamburgers for $3.89 each, two orders of fries for $1.49 each, and two soft drinks for $1.29 each.

Two hamburger $3.89 x 2 = $7.78

Two fries            $1.49 x 2 = $2.98

Two soft drinks  $1.29 x 2 = $2.58

Total order price $7.78 + $2.98 + $2.58 = $13.34

The HST is $13.34 x 15% = 2.001

The PST is $13.34 x 10% = 1.334

Total cost will be $13.34 + 2.001 + 1.334 = $16.675

c)Two friends each order a chicken dinner with a drink for $3.89. We have to find the total savings be if they had two bills rather than one.

The price of each chicken dinner with drink $3.89

Then the tax will be for each order $3.89 x 15% = 0.5835

So the cost of each order $3.89 + 0.5835 = $4.4735 = $4.47

Total cost will be $4.47 x 2 = $8.94

If both are in same bill

Then the order price $3.89 x 2 = $7.78

The additional PST on it is $7.78 x 10% = 0.778 = $0.78

Hence $0.78 is saved for both the bills being separate.

To learn more about cost visit: https://brainly.com/question/15135554

#SPJ9

The number of solutions that the system of equations has is given as follows:

The system of linear equations represented in the graph have

No solutions.

The first step in obtaining the number of solutions of the system of equations is obtaining the linear function that represents each line.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

m is the slope.

b is the y-intercept.

here, we have,

The first line goes through these following points:

(0,3) and (3,4).

The slope is given by change in y divided by change in x, hence:

slope = 3

When x = 0, y = 3,

hence the intercept is of b = 3

and the function is given as follows:

y = 3x - 3

The second line goes through these following points:

(0,-2) and (3,-1).

Hence the slope is of:

m = 3

The intercept is of b = -2,

and the equation is given as follows:

y = 3x-2.

Hence the solution is obtained as follows:

3x - 3=3x-2.

i.e.

The system of linear equations represented in the graph have

No solutions.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

Answer:

$2,400,000

Step-by-step explanation:

Just multiply them together

Answer

The answer is B

Step-by-step explanation:

Answer:

The points lie in a horizontal line y = 2

The distance = 4

Step-by-step explanation:

The points lie in a horizontal line y = 2

The distance = 5 - 1 = 4

Answer:

The same quadrant

4 units

Step-by-step explanation:

I got it right