Part B
What did Archimedes discover in the bath? Why was he so excited? Describe the discovery using geometric terms. What do you predict Archimedes did next with his new discoveries? Explain.

Answer:

n=-559

Step-by-step explanation:

Hope this helps and have a great day. :)

Answer:

n= -559

Step-by-step explanation:

So in order to solve this, you need to subtract 184 on both sides.

n+184=-374

   -184=-184

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

n= -559

So the answer is n= -559

Hope this helped!!! :)

Answer:

Note: it seems a typo, should be 2340 instead of 2240

Sum of interior angles of a polygon:

We have:

Find n:

15 sides

90(2n-4)=Sum of interiors

Answer:

measure of Angle 7 would also be (3y - 8), by the alternate exterior angles theorem

Hope this helps!

Answer:

14130= I rounded  

Step-by-step explanation:

This is the formula

4/3 x pi x r cubed

radius :15

pi = 3.14

substitue the Values

4/3 times 3.14 times 15 times 15 times 15.

3375 = 15 times 15 times 15

3375 x 3.14 = 10597.5 x  4/3

14130

Answer:

14,137.1669 ft^3

Step-by-step explanation:

1. Cube the radius: 15^3 = 3375

2. Multiply the cubed radius by 4/3: 3375*4/3 = 4500

3. Multiply the equation by 3.14159 (pi): 4/3(3.14159)(3375) = 14,137.1669 ft^3

4. Round your answer as needed.

Answer:

if you ant to find the area of the traporziord prism you have to multiply the height and with to find the area

Answer:

24 Red Cars

Step-by-step explanation:

Step 1 : Create a ratio

7:6 = 28:x

Step 2 : Find the relation between the two.

28/7 = 4

Step 3 : Multiply 6 by 4 to find x

6 * 4 = 24

Edit : Reread question

Answer:

24

Step-by-step explanation:

7/6=28/x

7x=28*6

7x=168 ...both divide by 7

x=24

red cars in garage 24

Answer:

8 cm

Step-by-step explanation:

Ok lets on the biggest square we have 17 cm

17cm is the hypotenuse for the right triangle

The second largest's area is 225 cm^2

Sq root of 225 cm^2, is 15

To find x, lets plug the info we have to the pythagorean theorom

[tex]a^2 + b^2 = c^2\\a^2 + 15^2 = 17^2\\a^2 + 225 = 289\\\\289 - 225 = a^2\\64=a^2\\a = 8 cm[/tex]

The side length of the smallest Square is 8 cm

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

B Center: (-4, 8) Radius = 4

Step-by-step explanation:

Answer:

15.9454=15.9

Step-by-step explanation:

Answer:

Answer: 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you.

Step-by-step explanation:

Answer:

The probability that they will meet is 0.4375

Step-by-step explanation:

Let A and B be two friends who choose to meet  the same one-hour period.Since there are 60 minutes in an hour therefore n= 60

A can wait for 15 minutes

So the probability of A to meet is given by P(A)=  (15/60)= 1/4

Similarly

B can wait for 15 minutes

So the probability of B to meet is given by P(B)=  (15/60)= 1/4

The  probability  that A cannot meet is given by 1- P(A)=  1-1/4= 3/4

Similarly

The  probability  that B cannot meet is given by 1- P(B)=  1-1/4= 3/4

And

The  probability  that both  A  and B cannot meet is given by = 3/4*3/4= 9/16

So the probability that both will meet = 1- 9/16= 7/16= 0.4375

es norte sur este y oeste  es un camino completamente recto esta en circulo por ue esta la brujula que apunta al norte y al sur

Answer:

Mean: 88

Median:93

Step-by-step explanation:

To find the mean, add all the numbers to get the sum, then divide by how many numbers there are.

Put the numbers from smallest to largest, then find the number in the middle if there’s an odd amount of numbers. If there is an even amount of numbers, find the two in the middle, add them together, and divide by 2 to get the median.

Mean: 76+82+54+100+100+82+100+93+100+93 = 880/10 = 88

Median: 54, 76, 82, 82, 93, 93, 100, 100, 100, 100

There is an even amount of numbers (10)

The two in the middle are 93 and 93

93+93=186/2=93

Answer:

A 95% confidence interval for a population mean is computed from a sample of size 400. Another 95% confidence interval will be computed from a sample of size 100 drawn from the same population. Choose the best answer to fill in the blank: The interval from the sample of size 400 will be approximately _______as the interval from the sample of size 100.

Answer: Trapezoid

Step-by-step explanation:

Trapezoids are parollelograms, that’s all

Answer:

Step-by-step explanation:

The length of arc MKL in the image given is: 19.02 m.

Arc length = ∅/360 × 2πr, where r = 1/2(diameter of circle).

∅ = 180 + (90 - 52) = 218°

Radius (r) = 10/2 = 5 m

Arc length of MKL = ∅/360 × 2πr = 218/360 × 2π(5)

Arc length of MKL = 19.02 m

Therefore, the length of arc MKL in the image given is: 19.02 m.

Learn more about arc length on:

https://brainly.com/question/2005046

C is the closest to 78.089

Answer:

Depth = 5

Width = 4

Height = 4

Total = 80

Step-by-step explanation:

For depth, width, and height you just count

The total equals, depth times width times height = 5x4x4 = 80

Answer:2^7 ≠ 7^2

Step-by-step explanation:

2^7 = 2 * 2 * 2 * 2 * 2 * 2 * 2

The only factor is 2

7^2 = 7 * 7

The only factor is 7

Comparing the factors when written as a repeated multiplication,

2^7 and 7^2 have no common factor :

2^7 = 2 * 2 * 2 * 2 * 2 * 2 * 2 = 128

7^2 = 7 * 7 = 49

Answer:

Objective Minimize 10x1 +15x2 + 12x3+18x4+15x5+ 21x6

The central total cost $ 17586 due to the number of central undergraduate students 1458 is very high.

The total minimum cost would $ 17586 +$260+ $300= $ 18146

Step-by-step explanation:

Let

X1 = # of undergraduate students from the East region,

X2 = # of graduate students from the East region,

X3 = # of undergraduate students from the Central region,

X4 = # of graduate students from the Central region,

X5 = # of undergraduate students from the West region, and

X6 = # of graduate students from the West region.

Then  the cost functions are

y1= 10x1 +15x2

y2= 12x3+18x4

y3= 15x5+ 21x6

According to the given conditions

The constraints are

x1 +x2 + x3+x4+ x5+ x6 ≥ 1500------- A

15X2 +18X4+21X6 ≥ 400---------B

21X6 ≥ 100

X6 ≥ 100/21

X6 ≥ 4.76

Taking

X6= 5

10X1 ≤ 500

X1 ≤ 500/10

X1≤ 5

18X4 ≥ 75

X4 ≥ 75/18

X4 ≥ 4.167

Taking

X4= 5

Putting the values

15X5+ 21X6 ≥ 300

15X5+ 21(5) ≥ 300

15X5+ 105 ≥ 300

15X5 ≥ 300-105

15X5 ≥ 195

X5 ≥ 195/15

X5 ≥ 13

Putting value of X6 and X4 in B

15X2 +18X4+21X6 ≥ 400

15X2 +18(5)+21(5) ≥ 400

15X2 +195 ≥ 400

15X2  ≥ 400-195

15X2  ≥ 205

X2  ≥ 205/15

X2  ≥ 13.67

Taking X2= 14

Now putting the values in the cost equations to check whether the conditions are satisfied.

y1= 10x1 +15x2

y1= 10 (5) + 15(14)= 50 + 210= $ 260

y3= 15x5+ 21x6

y3= 15 (13) + 21(5)

y3= 195+105= $ 300

x1 +x2 + x3+x4+ x5+ x6 ≥ 1500

5+14+x3+5+13+5≥ 1500

x3≥ 1500-42

x3≥ 1458

y2= 12x3+18x4

y2= 12 (1458)  + 18 (5)

y2= 17496 +90

y2= $ 17586

The cost can be minimized if the number of students from

                                 Undergraduate         Graduate

East Region              X1≤ 5                            X2  ≥ 13.67

Central                      X3≥ 1458                   X4 ≥ 4.167

West                          X5 ≥ 13                          X6 ≥ 4.76

This will result in the required number of students that is 1500

Constraints:

East Undergraduate must not be greater than 5

East Graduate must not be less than 13

Central Undergraduate must  be greater than 1458

Central Graduate must  be greater than 4

West Undergraduate must  be greater than 13

West Graduate must  be greater than 4

The central total cost $ 17586 due to the number of central undergraduate students 1458 is very high.

The east region has a least cost of $260 and west region has a cost of $300.

The total minimum cost would $ 17586 +$260+ $300= $ 18146

Answer:

Step-by-step explanation:

There are 36 possibilities. That's a lot. I'll give you the two sets of them to give you the idea of how to set it up.

1    1

1    2

1    3

1    4

1    5

1    6

Now you can list all the reverse numbers

2   1

3   1

4   1

5   1

6   1

Do this pairing all the way down and then add the doubles amount.

B: 36  (Stated Above)

C:

4   4

3   5

5   3

6   2

2   6

D

There are 36 possible outcomes.

The Probability is 5/36

The Probability is  0.1388 .... repeating.

Answer:

0.0336

Step-by-step explanation:

the hint says so

According to the result of the test statistic, the approximate p-value for Fay's test is of 0.034.

It depends on the test statistic z, as follows.

In this problem, we are testing if the proportion is greater than a value, hence it is a right-tailed test.

The test statistic is z = 1.83, which has a p-value of 0.966.

1 - 0.966 = 0.034.

Hence, the approximate p-value for Fay's test is of 0.034.

You can learn more about p-values at brainly.com/question/13873630

Answer:

( + 2 ) ( + 4 )

Step-by-step explanation:

Answer:

See below for answers and explanations (along with a graph)

Step-by-step explanation:

To calculate the vertex, we can transform the expression into an equation in the form of y=a(x-h)²+k and take (h,k) as our vertex. By completing the square, we see that y=x²+6x+8 is the same as y=(x+3)²-1, implying that our vertex is (-3,-1)

To calculate the axis of symmetry, it is defined as the vertical line that passes the x-axis, defined as x=h, therefore the axis of symmetry is x=-3

To calculate the y-intercept, it is defined as the y-value when x=0, therefore the y-intercept would be y=(0)^2+6(0)+8=8, so y=8 or (0,8)

To calculate the x-intercepts, which are the x-values when y=0, we can factor the expression and set it equal to 0 so we can use the Zero Product Property. Therefore, if x²+6x+8=0, then (x+2)(x+4)=0, implying that x+2=0 and x+4=0 are solutions. This means that our x-intercepts are x=-2 and x=-4 or (-2,0) and (-4,0).

Note that there are different ways to achieve these answers. See the graph for a visual reference (you may need to click on it to zoom in).

Answer:

B. 144√3 in².

Step-by-step explanation:

Given the following data;

Sides of length = 24 inches

Mathematically, the area of an equilateral triangle is given by the formula;

A = √3 * s²/4

Where, s represents the sides of length.

Substituting into the formula, we have;

A = √3 * 24²/4

A = √3 * 576/4

A = √3 * 144

A = 144√3 in²

Answer:

false

Step-by-step explanation:

72 - (-100) --> two negatives turn into a positive

72 + 100

Answer:

sepalacola

Step-by-step explanation: