1. Last week, Mr. Key worked for 50 hours. This week, he work for 58 hours. 2p
Find the percent of change for Mr. Key's hours worked.
SA
be​

Given:

In the given ΔLMN, ∠M = 51° and ∠L = 36°

And,

In ΔFGH, ∠F = 51° and ∠G = 36°

To find the suitable option from the given options.

Formula

By Third angle theorem, we have,

If two angles in one triangle are congruent to two angles in another triangle, then the third pair of angles must also congruent.

In given two triangles

ΔLMN and ΔFGH

∠M = ∠F = 51° and

∠L = ∠G = 36°

So, it satisfies the condition of third angle theorem.

Hence,

We can conclude that, Triangle M L N is similar to Triangle F G H because of the third angle theorem, Angle M is congruent to angle F, Angle L is congruent to angle G, and Angle N is congruent to angle H.

Thus, Option a is the correct answer.

Answer:

Triangle M L N is similar to Triangle F G H because of the third angle theorem, Angle M is congruent to angle F, Angle L is congruent to angle G, and Angle N is congruent to angle H.

Step-by-step explanation:

i just took the quiz and i got it right

Answer:

Radius = 5inch

CD = 2.75 cm

Step-by-step explanation:

A) isosceles triangles AC = AD  BC = BD  BC = AC you join lines up and then do Pythagoras.  AC ² =  1/2 * 8 ²  +  1/2 6²

AC² = 4sq + 3sq

25sq = 16sq + 9sq

AC² = 25sq = 5inch

Radius = 5inch

B) AB = 8inch  CD = 6inch  radius = 5  ratio = 4 : 3 : 2.5

AB = 24cm CD =  18  radius = 13cm  ratio = 4 : 3 : 2.1

4- 2.1 = 1.9   1.9 distributed = 1.30 + 0.65 + 1 =2.75

so ratio must be 4: 2.75 : 2.1 = 4 : 3 : 2.5

Therefore CD = 2.75 cm

Just to get you started.

Answer:

50.27

Step-by-step explanation:

Answer:

50.27

Step-by-step explanation:

A=1 /4 πd squared

A≈50.27

Hope this helps

Answer:

c. Place the point of the compass on point G and draw an arc, using the same width for the opening of the compass as the first arc.

Step-by-step explanation:

I took the k12 test and it was correct.

To construct the perpendicular bisector of GH, Louis should place the point of the compass on point G and draw an arc using the same opening as the first arc. The intersecting point of these arcs is the midpoint of GH, which separates GH into two equal halves.

Louis should place the point of the compass on point G and draw an arc, using the same width for the opening of the compass as the first arc. This is a required step in constructing a perpendicular bisector. After Louis has created this arc, the intersection of the two arcs is the midpoint of GH. If a line is drawn from this point to GH, it will create two equal halves, creating the perpendicular bisector.

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Answer:

j=70

im sure of it

Answer:

j = 70

Step-by-step explanation:

j + j - 60 = 80

=> 2j - 60 = 80

=> 2j = 80 + 60

=> 2j = 140

=> j = 140/2

=> j = 70

Answer:

The answer is 1,000 sq ft

Step-by-step explanation:

i just finished with 100% on the topic test/quiz

Answer:

7

Step-by-step explanation:

But lets not quote me on that. :]

Let x represent time taken by 20 members to paint 9000 square foot wall.

We have been given that all members of our painting team paint at the same rate. 20 members can paint a 6000 square foot wall in 24 minutes. We are asked to find the time taken by 20 members to paint 9000 square foot wall.

We will use proportions to solve our given problem.

[tex]\frac{\text{Time taken}}{\text{Area of wall painted}}=\frac{24\text{ min}}{6000\text{ ft}^2}[/tex]

[tex]\frac{x}{9000\text{ ft}^2}=\frac{24\text{ min}}{6000\text{ ft}^2}[/tex]

[tex]\frac{x}{9000\text{ ft}^2}\times 9000\text{ ft}^2=\frac{24\text{ min}}{6000\text{ ft}^2}\times 9000\text{ ft}^2[/tex]

[tex]x=\frac{24\text{ min}}{6}\times 9[/tex]

[tex]x=4\text{ min}\times 9[/tex]

[tex]x=36\text{ min}[/tex]

Therefore, it will take 36 minutes for 20 members to paint 9000 square foot wall.

Answer:

36 minutes

Step-by-step explanation:

The amount of time needed and the amount of wall to paint are directly proportional. So, when we multiply the amount of wall to paint by 4/3 (going from 6000 square feet to 9000 square feet), we multiply the time needed by 9000/6000 = 3/2. Therefore, the 20 members need 24 * 3/2 = 36 minutes to paint the 9000 square foot wall.

Answer:

36 km

Step-by-step explanation:

Let time taken by upstream=x hours

Upstream speed=12 km/h

Time spend  for sightseeing=2 hours

Total time=7 hours

Traveling time=7-2=5 hours

Time taken by downstream=5-x

Downstream speed=18km/h

Distance=[tex]speed\times time[/tex]

Using the formula

Distance traveled when Delta Duchess paddled upstream=12 x

Distance traveled when  Delta Duchess paddled back=18(5-x)

According to question

[tex]12x=18(5-x)[/tex]

[tex]12x=90-18x[/tex]

[tex]12x+18x=90[/tex]

[tex]30x=90[/tex]

[tex]x=\frac{90}{30}=3 hours[/tex]

Substitute the values

Distance traveled when Delta Duchess paddled upstream=[tex]12\times 3=36 km[/tex]

Answer:

D

Step-by-step explanation:

The range of the data is 10.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The range of the data can be determined by finding the difference between the maximum and minimum values.

The maximum value is given by the upper whisker, which is 15, and

the minimum value is given by the lower whisker, which is 5.

Therefore, the range of the data is:

Maximum value - Minimum value = 15 - 5 = 10

So, the range of the data is 10.

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Answer:

1:1

Step-by-step explanation:

They look exactly the same so they would equal each other

The circumference of Cole's bass drum is 25.12 inches.

The formula to find the circumference (C) of a circle is C = 2πr, where r is the radius and π is approximately 3.14.

Since Cole's bass drum has a radius of 4 inches, we substitute the values into the formula to get

C = 2 × 3.14 × 4 inches.

So, the circumference of Cole's drum is C = 2×3.14 × 4 = 25.12 inches.

Answer:

Minimum number of pennies = 10

Step-by-step explanation:

Given:

Maximum number of coins Hannah have = 25

Total number of of nickels (coins) she has = 11

Total value of the combined coins = $ 0.65

We have to find the minimum number of pennies.

Let the number of pennies be "p"  and no. of nickels be "n".

Note:

Value of 1 penny = $ 0.01

Value of 1 nickel = $ 0.05

Arranging the above situation in terms of equations:

According to their quantities.

⇒ [tex]n+p\leq 25[/tex]  and [tex]11+p\leq 25[/tex] so [tex]p\leq 14[/tex]

According to their values.

⇒ [tex]0.05(n)+0.01(p)\leq \$\ 0.65[/tex]

⇒ [tex]0.05(11)+0.01(p)\leq \$\ 0.65[/tex]

⇒ [tex]\$\ 0.55+0.01(p)\leq \$\ 0.65[/tex]

⇒ [tex]0.01(p)\leq \$\ 0.65-\$\ 0.55[/tex]

⇒ [tex]0.01(p)\leq \$\ 0.10[/tex]

⇒ [tex](p)\leq\frac{ \$\ 0.10}{0.01}[/tex]

⇒ [tex](p)\leq 10[/tex]

Minimum number of pennies :

⇒ [tex](p)\leq 10[/tex] which also satisfies [tex]p\leq 14[/tex]

Therefore :

⇒ [tex]p=10[/tex]

Plugging p= 10 we can verify the values.

⇒ [tex]0.05(11)+0.01(10)\leq \$\ 0.65[/tex]

⇒ [tex]0.55+0.10\leq \$\ 0.65[/tex]

⇒ [tex]\$\ 0.65\leq \$\ 0.65[/tex]

So,

Minimum number of pennies Hannah have = 10

Final answer:

Hannah can have a minimum of 10 pennies along with her 11 nickels to make at least $0.65, while having a maximum of 25 coins in total.

Explanation:

Hannah has a maximum of 25 coins and among them, she has 11 nickels. Since she has a minimum combined worth of $0.65, we can calculate the minimum number of pennies she could have. One nickel is worth $0.05, so 11 nickels have a combined worth of $0.55 (11 times $0.05). To reach at least $0.65, we need at least $0.10 more.

A penny is worth $0.01, so to make up the additional $0.10, Hannah would need a minimum of 10 pennies. Therefore, with 11 nickels already accounted for, and the rest being pennies to reach $0.65, Hannah could have a minimum of 10 pennies. She cannot have more than 25 coins in total, so the number of pennies must also not exceed the limit of 25 total coins when added to the number of nickels she has. Since 11+10=21, this is less than the maximum of 25 coins, and thus, it is possible for Hannah to have a minimum of 10 pennies.

Answer:

Step-by-step explanation:

We would determine the mean an standard deviation first

Mean = (107 + 92 + 97 + 95 + 105 + 101 + 91 + 99 + 95 + 104)/10 = 98.6

Standard deviation = √(summation(x - mean)/n

n = 10

Summation(x - mean) = (107 - 98.6)^2 + (92 - 98.6)^2 + (97 - 96.6)^2 + (95 - 98.6)^2 + (105 - 98.6)^2 + (101 - 98.6)^2 + (91 - 98.6)^2 + (99 - 98.6)^2 + (95 - 98.6)^2 + (104 - 98.6)^2 = 274

Standard deviation = √(274/10) = 5.23

The confidence interval is used to determine the range of values that could possibly contain a population parameter (population mean)

Confidence interval is written in the form,

(Point estimate - margin of error, Point estimate + margin of error)

The sample mean, x is the point estimate for the population mean.

We will use the t distribution because the sample size is small and the population standard deviation is not given.

Degree of freedom, df = 10 - 1 = 9

α = 1 - 0.99 = 0.01

z α/2 = 0.01/2 = 0.005

The area to the right of z 0.005 is 0.005 and the area to the left of z0.005 is 1 - 0.005 = 0.995. Using the t distribution table,

z = 3.25

Margin of error = z × s/√n

Where

s = sample standard Deviation = 5.23

Margin of error = 3.25 × 5.23/√10 = 5.38

Confidence interval = sample mean(point estimate) ± z × σ/√n

The lower boundary of the confidence interval is

98.6 - 5.38 = 93.22

The upper boundary of the confidence interval is

98.6 + 5.38 = 103.98

We estimate with 99% confidence that the mean weekly child care cost of their employees is between $93.22 and $103.98

Also,

99% of the confidence intervals constructed in this way would contain the true value for the population mean of mean weekly child care cost of their employees.

The 99% confidence interval for the average weekly childcare cost based on this sample data is [$94.6, $102.6], which means we're 99% certain the true average cost falls within this range.

When we are talking about a confidence interval for the population mean, we're trying to determine a range within which we're confident the true average child care cost falls, given the data we have from a sample of employees. To do this, we first have to calculate the mean (or average) child care cost and the standard deviation of our sample.

The mean weekly child care cost would be ($107 + $92 + $97 + $95 + $105 + $101 + $91 + $99 + $95 + $104) / 10 = $98.6. To calculate the standard deviation, you would subtract each data point from the mean, square the results, find the average of these squared differences, and finally take the square root. In this case, the standard deviation equates to ~5.27. Now we can use these values to calculate the confidence interval. For a 99% confidence interval with a sample size of 10, the appropriate t-value from the t-distribution table is 3.25. The confidence interval would therefore be Mean +/- t-value*(standard deviation/sqrt(n)). So the interval would be 98.6 +/- 3.25*(5.27/sqrt(10)). This calculates to an interval of [94.6, 102.6]. That means we're 99% confident the true average weekly child care cost falls between $94.6 and $102.6.

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The equation of the circle is x² + y²=20

Step-by-step explanation:

The equation of circle is written as

(x-h)² +( y-k)²=r²

x² + y²=r²

The circle passes through (0,0) and (4, -2)

The equation of the circle is x² + y²=20

I have attached the document for the explanation part

The gradient of the line that is perpendicular to the line 2y = 3 + 5x is found to be -0.4, after converting the given equation to slope-intercept form and determining the negative reciprocal of the original slope.

To find the gradient of a line that is perpendicular to the given line 2y = 3 + 5x, we first need to put the given equation in slope-intercept form (y = mx + b). By dividing everything by 2, we get y = 2.5x + 1.5, where the gradient (or slope) of this line is 2.5. Since perpendicular lines have slopes that are negative reciprocals of each other, the slope of the line perpendicular to the given one is -1/2.5, which simplifies to -0.4. Therefore, the gradient of the line that is perpendicular to the line 2y = 3 + 5x is -0.4.

Answer:

0.62

Step-by-step explanation:

2*4.19=4.38

5-4.38=0.62

Answer: number 1

Step-by-step explanation:

That is how you would write the ratio word for word.

- hope this helped!

Answer:

1

Step-by-step explanation:

Answer:

0.1835

Step-by-step explanation:

This question can be solved by way of binomial distribution.

Let’s have the probability of success as p which is the probability that they stay with the company for more than five years;

p = 8/100 = 0.08

probability of failure, meaning not staying is q = 1-p = 1-0.08 = 0.92

Now let’s write the expression for the binomial distribution. That would be;

probability = 12C2 * 0.08^2 * 0.92^10

= 0.1835

Probabilities are used to determine the chances of an event.

The probability that exactly two stays more than 5 years is 0.1835

The given parameters are:

[tex]\mathbf{n = 12}[/tex] ---- sample

[tex]\mathbf{x = 2}[/tex] --- selected

[tex]\mathbf{p = 80\%}[/tex] --- sample proportion

So, the probability that exactly two stays more than 5 years is calculated using the following binomial probability:

[tex]\mathbf{P(x) = ^nC_x p^x (1 - p)^{n -x}}[/tex]

So, we have:

[tex]\mathbf{P(x) = ^{12}C_2 (8\%)^2 (1 - 8\%)^{12 -2}}[/tex]

[tex]\mathbf{P(x) = ^{12}C_2 (8\%)^2 (92\%)^{10}}[/tex]

Solve 12C2 using a calculator

[tex]\mathbf{P(x = 2) = 66 \times (8\%)^2 \times (92\%)^{10}}[/tex]

[tex]\mathbf{P(x = 2) = 0.1835}[/tex]

Hence, the probability that exactly two stays more than 5 years is 0.1835

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Answer:

The height of the pyramid is 11 cm.

Step-by-step explanation:

We are given the following in the question:

Volume of triangular pyramid = 110 cubic cm

Base of trianle,b = 10 cm

Height of triangle,h = 6 cm

Area of triangular base =

[tex]A = \dfrac{1}{2}\times b\times h\\\\A = \dfrac{1}{2}\times 10\times 6\\\\A = 30\text{ square cm}[/tex]

Volume of triangular pyramid =

[tex]V = \dfrac{1}{3}AH[/tex]

where H is the height of the pyramid, A is the area of triangular base.

Putting values, we get,

[tex]110 = \dfrac{1}{3}\times 30\times H\\\\H = \dfrac{3\times 110}{30}\\\\H = 11\text{ cm}[/tex]

Thus, height of the pyramid is 11 cm.

Answer:

the answer is a

Step-by-step explanation:

i got the question right. please mark me brainliest. look at a population density map of southeast Asia

Answer:

a

Step-by-step explanation:

i did the test

Answer:

Step-by-step explanation:

Answer:

Two figures that have the same shape are said to be similar. When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles below are similar, compare their corresponding sides

Step-by-step explanation:

From what we know about percentages and unit rates, the correct options are:

1) 100

2) 1

Suppose we have an amount A, this would be the 100%.

If we want to know how much a quantity B represents, compared to A, we have:

A = 100%

B = x

where x is a percentage, to find the value of x we compute:

x = (B/A)*100%

While there is a dependence on A, we actually are comparing the term with 100 (because A represents a 100%), so the correct option is A: 100.

We define the unit rate as the rate for a unit of something.

for example, if we know that

2 apples cost $3

The unit rate per apple is:

U = $3/2 = $1.5

Meaning that each apple costs $1.5

So to get the unit rate, we need to compare the first term with 1 (a unit). So the correct option is D.

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Answer:

{HR H O HY HG TR TO TY TG}

2600

Step-by-step explanation:

We can either get heads or tails on the coin and red yellow green or orange on the spin

HR H O HY HG

TR TO TY TG

There are 26 letters for the first space and 10 digits (0-9) for the second space and 10 digits (0-9) for the 3 space

26 * 10 * 10

2600

Answer:

Option 1

Step-by-step explanation:

A sample space is a collection of all possible outcomes

{Coin,colour}

{H R, H Y, H G, H O, T R, T Y, T G, T O}

Answer:

Step-by-step explangghdhc6vyation:

Hhyvvh

Answer:

The answer to your question is Kevin is 6 years old.

Step-by-step explanation:

Process

1.- Assign a letter to Daniel and another letter to Kevin

Daniel = d

Kevin = k

2.- Write equation that help to solve this problem

      k = d + 3         equation l

       k = 4d             equation ll          four years ago

3.- Solve the system by substitution. Substitute equation ll in equation l

       4d = d + 3

-Solve for d

       4d - d = 3

       3d = 3

         d = 1

-Find k

       k = 1 + 3

       k = 4

4.- Calculate the age Kevin has now

Kevin's age = 4 + 2

                   = 6  

Answer:

the answer is 22 units,hope it helps

The length of line segment AD is 22 units.

ABCD is a kite.

Kite A B C D is shown.

Sides A B and B C are congruent.

The length of A B is 14.

Sides C D and A D are congruent.

The length of C D is 22.

We have to determine the length of line segment AD.

A line segment splits two sides of a triangle into proportional segments if and only if the segment is parallel to the triangle's third side.

Therefore we can say that,

AD=DC

Therefore the length of line segment AD is 22 units.

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Answer:

-7/3 pi radians

Step-by-step explanation:

To convert from degrees to radians, multiply by pi/180

-420 * pi/180

-42/18 *pi

Divide by 6 on the top and bottom

-7/3 pi

Answer:

The population of city Y is 20 times than that of city X.

Step-by-step explanation:

Given:

City X has a population of 3 times 10^5

City Y has a population of 6 times 10^6.

Question asked:

Which statement correctly describes the relationship between the population of city X and city Y?

Solution:

If we will be able to find the number of times the population of city Y more than that of city X, it will be the best and easy to understand relationship between the population of these two towns:

And we can easily calculate by dividing the population of city Y by population of city X.

[tex]=\frac{6\times10^{6} }{3\times10^{5}} \\ \\ =\frac{6\times10^{6-5} }{3}\ (\frac{a^{m} }{a^{n} }= a^{m-n} )[/tex]

[tex]=\frac{6\times10^{1} }{3} \\ \\ =\frac{60}{3} \\ \\ =20\ times[/tex]

Thus, the population of city Y is 20 times than that of city X.

City Y's population is 20 times larger than that of city X. This is determined by dividing City Y's population by City X's.

The relationship between the populations of city X and city Y can be understood by comparing the numbers provided: 3 times 10^5 (or 300,000) for city X and 6 times 10^6 (or 6,000,000) for city Y. It's clear that city Y has a significantly larger population. In fact, city Y's population is 20 times larger than that of city X.

This is calculated by dividing city Y's population (6,000,000) by city X's population (300,000), getting the result 20.

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