GH is a mid segment of triangle DEF and DE is a mid segment of triangle ABC. If GH=1.5 cm, what is the length of segment BC?

A cylinder and cone having the same volume. The cylinder having radius x and height y. The cone has radius 12x. Then, the height of the cone in terms of y is 48h.

The volume of the cylinder will be given by the formula V_cylinder = [tex]πr^{2h}[/tex], where r is radius and h is height. The volume of a cone is given by the formula V_cone = (1/3)[tex]πr^{2h}[/tex], where r is the radius and h is the height.

Since the cylinder and cone have the same volume, we can set their volume formulas equal to each other and solve for the height of the cone;

[tex]πX^{2y}[/tex] = (1/3)[tex]π(12X)^{2h}[/tex]

Simplifying, we get;

[tex]πX^{2y}[/tex] = [tex]π144X^{2h/3}[/tex]

Dividing both sides by [tex]πX^{2}[/tex], we get;

y = 144h/3

Simplifying further, we get;

y = 48h

Therefore, the height of the cone in terms of y is h = (1/48)y.

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The missing step is:

<1 ≅ <1 and <3 ≅ <5

Reason:

Alternate interior angles theorem

The Alternate Interior Angles Theorem is a geometric proposition demonstrating the number of angles born when two parallel lines are intersected by an angled transversal.

Precisely expressed, it holds that whenever two lines of equivalence are cut by a straight line crossing them, the alternate interior angles (angles on both sides of the transversal, which lie inside the parallel lines) will be identical in measure.

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Answer:

Step-by-step explanation:

This looks like a pyramid problem.  The sum of the 2 numbers in the bottom boxes must equal the number in the top box.  All you have to do to find the missing number is subtract the bottom number from the top number.

a.  200 - 30 = 170

b. 200 - 30 = 130

c. 200 - 105 = 95

d. 200 - 85 = 115

The partial sum of both arithmetic sequence are:

1) S₄ = 58

2) S₃ = 2

An arithmetic sequence is defined as a sequence where each term increases by adding/subtracting some constant k. This is in contrast to a geometric sequence where each term increases by dividing/multiplying some constant k.

The formula for the partial sum of an arithmetic sequence is:

Sₙ = (a₁ + aₙ)ⁿ/₂

1) The first term is 4

The fourth term is 25

Thus:

S₄ = ⁴/₂(4 + 25)

S₄ = 58

2) The first term is 1 while the third term is 1/3. Thus, the sum is:

S₃ = ³/₂(1 + ¹/₃)

S₃ = 2

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Answer:  30 in

Step-by-step explanation:

Multiply the length and width and divide the number you get from 2175.

Brainliest Please!

Step-by-step explanation:

See image:

The possible numbers of hours the chemistry club could rent the meeting room is any value less than 8.

In inequality form:

t < 8

Let's begin by referring to the number of hours the chemical club rents the meeting space as "t".

The reservation charge plus the additional fee for the specified number of hours will equal the total cost to rent the meeting space:

Cost in total = $19 + $4.

The chemical club has stated that they want to pay less than $51 to rent the space:

Total cost < $51

Substituting the expression for total cost:

$19 + $4t < $51

Simplifying:

$4t < $32

Dividing both sides by 4:

t < 8

Therefore, the possible numbers of hours the chemistry club could rent the meeting room is any value less than 8.

In inequality form:

t < 8

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Answer: 50 degrees

Step-by-step explanation:

The area of the figure is 9 square units.

We have,

Rectangle : l = 3 unit and w= 2 unit

Triangle: Height = 3 unit and Base= 2 unit

Now, Area of rectangle

= l w

= 3 x 2

= 6 square unit

and, area of Triangle

= 1/2 x b x h

= 1/2 x 2 x 3

3 square unit

Thus, the area of figure is

= 6 + 3

= 9 square unit

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Where a number has three digits 6 8 and 1 to the nearest hundred the number rounds to 800 the number is 768.

In this case, the hundreds digit is 6, which means the number is between 600 and 699. The tens digit is 8, which is greater than 5, so we round up to the next hundred, which is 700. Therefore, the number is between 700 and 799.

We also know that when the number is rounded to the nearest hundred, it rounds to 800. This means the number is closer to 800 than to 700, and is at least 750. The ones digit is 1, which means the number is odd, and the sum of its digits is 6 + 8 + 1 = 15. This eliminates numbers that are multiples of 10 or have a sum of digits less than 15.

The only three-digit number that satisfies these conditions and rounds to 800 is 768. Therefore, the number is 768.

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Answer:

3n+10=3()+10

We move all terms to the left:

3n+10-(3()+10)=0

We add all the numbers together, and all the variables

3n=0

n=0/3

n=0

Step-by-step explanation:

Answer:
The cost of Jordan’s visits to the hair salon depends on the number of visits. The cost for 2 visits would be $60.00 (membership fee) + 2 * $26.00 (cost per visit) = $112.00. The cost for 4 visits would be $60.00 + 4 * $26.00 = $164.00. The cost for 5 visits would be $60.00 + 5 * $26.00 = $190.00. The cost for 8 visits would be $60.00 + 8 * $26.00 = $268.00.

Answer: 2 = 112 4 = 164 5 = 190 8 =268

Step-by-step explanation:

In order to solve this, the equation would be:

26x + 60

where x is the number of appointments, 26 is the amount each appointment costs, and 60 is the original price of the membership.

So...

2 visits would be $112

4 visits would be $164

5 visits would be $190

8 visits would be $268

Hope this is helpful

The line shown below are parallel: B. False, because their slopes are different.

In Mathematics and Geometry, parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.

In Mathematics and Geometry, two (2) lines are parallel under the following conditions:

m₁ = m₂

For the slope of the red line, we have:

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (8 - 4)/(4 + 2)

Slope (m) = 4/6

Slope (m) = 2/3.

For the slope of the green line, we have:

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (2 + 2)/(-1 + 8)

Slope (m) = 4/7

2/3 ≠ 4/7.

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There are two key pieces of information we will need to solve this problem: the area of the section of the circle and the area of the triangle.

First, let's find the area of the section/part of the circle. We can do this by only finding 1/4 (90/360) of the area of the given circle.

1/4 x pi x 6^2

1/4 x pi x 36

Area of 1/4 of circle = 9pi ft^2

Second, let's find the area of the triangle.

1/2 x 6 x 6

3 x 6

Area of triangle = 18 ft^2

Next, let's find the area of one shaded section by subtracting the area of the triangle from the area of the section.

9pi - 18

Finally, to find the area of both shaded sections we'll need to double the answer from the previous step.

2(9pi - 18)

18pi - 36 = 20.549 (rounded to 3 decimal places)

Answer: [ 18pi - 36 ft^2 ] or [ 20.549 ft^2 ]

Hope this helps!

The distance further that Jeremy drives more than Kia would be 100 kilometers .

The distance that Jeremy drives in cm from A to B is 5 cm. In kilometers, this would be:

= 5 x 200 per cm

= 1, 000 kilometers

The distance that Kia drove from B to C was 4.5 cm and in kilometers this is:

= 4.5 x 200

= 900 kilometers

The distance that Jeremy drove more was:

= 1, 000 - 900

= 100 kilometers

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Answer:

The answer is 60

Step-by-step explanation:

Solution:

[tex] \frac{4}{?} = \frac{1}{15} [/tex]

Hope you understand

Answer:

52%

Step-by-step explanation:

Since the question asks about tails, we don't need the information about heads.

So out of 200 flips, 104 were tails. If we put 104 out of 200 in fraction form, you get;

104

-----

200

Now we just divide;

104/200 = 0.52, also known as 52%

Please Mark brainliest! :)

The volume of this rectangular pyramid is equal to 1,080 cubic centimeters.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

By substituting the given dimensions (parameters) into the formula for the volume of a rectangular prism, we have the following;

Volume of rectangular prism = 9 × 15 × 8

Volume of rectangular prism = 1,080 cubic centimeters.

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Answer: .82n

Step-by-step explanation:

Add the numbers in front because they are all like terms.  1 + 1 - .18 = .82

It's like if you had 5x+2x  you can add the numbers in front to combine like terms =7x

So your answer is .82n

According one-way ANOVA, the test is false.

We learn about one-way ANOVA

"One-Way ANOVA, also known as "analysis of variance," examines the refers to two or more independent groups to see if there is statistical support for the notion that the related population means are statistically substantially different."

According to the given information, it is inappropriate to compare two means at a time using multiple independent two sample​ t-tests. It will create multiple testing problem and error.

So using one way ANOVA test when comparing three or more populations refers to within a set of quantitative data that is categorized according to one​ factor/treatment and compare two means at a time using multiple independent two sample​ t-tests is false.

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a) Approximately 99.7% of Veronica's weight measurements lie within the range of 134 to 146 pounds.

b) Approximately 15.87% of Veronica's weight measurements are less than 138 pounds.

a. According to the 68-95-99.7 rule for a normal distribution, approximately 99.7% of the data falls within 3 standard deviations of the mean. Therefore, the range for Veronica's weight measurements can be calculated as follows:

Upper bound: Mean + 3(Standard Deviation) = 140 + 3(2) = 146

Lower bound: Mean - 3(Standard Deviation) = 140 - 3(2) = 134

b. To find the percentage of her weight measurements that are less than 138 pounds, we need to calculate the z-score and then use a standard normal table or calculator to find the area under the curve to the left of that value.

z-score = (138 - 140) / 2 = -1

Using a standard normal table or calculator, we find that the area to the left of a z-score of -1 is approximately 0.1587. Therefore, approximately 15.87% of Veronica's weight measurements are less than 138 pounds.

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To find the inverse of a function, we switch the x and y values. So the values representing the inverse of the function in the table above are: x: 4, 2, 1, 3, 4, and y: -2, -3, 6, 7, 5.

To determine if the inverse is a function, we need to check if each input value has only one output value.

Since the original function is a function, we know that each input value has only one output value.

When we switch the x and y values to find the inverse, we need to make sure that each y value only has one corresponding x value.

Looking at the values in the table, we can see that there are two different y values (4 and -2) that both have an x value of 5.

Therefore, the inverse is not a function.

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The requried choosing a tile from a pair of tiles, one with the letter A and one with the letter B will have a sample space of S = {A, B}.

Choosing a tile from a pair of tiles, one with the letter A and one with the letter B will have a sample space of S = {A, B}. The other events listed have sample spaces with more than two outcomes:

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The lower quartile is 13 (in minutes ) and the upper quartile is 27(in minutes) for the data collected by Ashley on number of minutes students ride the bus before getting to school.

Ashley has collected data on the number of minutes students ride the bus before getting to school as,

10, 11, 13, 18, 19, 21, 22, 25, 27, 30, 32

There are three types of quartile in data set as, first (or lower) quartile, second quartile (or median), and third (or upper) quartile.

The formula to calculate quartiles for ungrouped data are as follow,

Lower (or first) quartile = {(n +1)4} th term

where, n is the total number of observations in the data set, that is n = 11

Therefore, Lower (or first) quartile = {(11 +1)4} th term

= (3)rd term = 13

Therefore, Upper (or third ) quartile = {3(n +1)/4} th term

= { 3(11+ 1)/4} th term

= 9th term = 27

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The given question is incomplete, the complete question is

"Already Ashley collects data on the number of minutes students ride the bus before getting to school.

10, 11, 13, 18, 19, 21, 22, 25, 27, 30, 32

What is the lower and upper quartile."

There will be 27 smaller cubes of length 5 cm each.

V = s^3, where s is the length of a side of the cube.

In this case, the length of the side of the original cube is 15 cm, so its volume is:

V = 15^3 = 3,375 cubic cm

When the cube is melted down and reformed into smaller cubes of 5 cm, the number of smaller cubes is equal to the total volume of the original cube divided by the volume of each smaller cube. The volume of each smaller cube is:

V = s^3 = 5^3 = 125 cubic cm

So, the number of smaller cubes is:

Number of smaller cubes = Total volume of original cube / Volume of each smaller cube

Number of smaller cubes = 3,375 / 125

Number of smaller cubes = 27

Therefore, there will be 27 smaller cubes of length 5 cm each.

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The probability that a positive integer divisor of 12! is a perfect square can be expressed as 18/415. The sum of the numerator and denominator is 433.

We can start by finding the prime factorization of 12! which is

12! = 2¹⁰ × 3⁵ × 5² × 7 × 11

To find the number of divisors of 12!, we add 1 to each exponent and multiply them together:

Number of divisors = (10+1) × (5+1) × (2+1) × (1+1) × (1+1) = 3320

Now, we want to find the probability that a randomly chosen divisor of 12! is a perfect square.

A positive integer is a perfect square if and only if each of its prime factors has an even exponent.

Therefore, we need to count the number of divisors of 12! that have each prime factor with an even exponent.

For 2, there are 6 choices: 0, 2, 4, 6, 8, 10

For 3, there are 3 choices: 0, 2, 4

For 5, there are 2 choices: 0, 2

For 7, there are 2 choices: 0, 1

For 11, there are 2 choices: 0, 1

The total number of divisors of 12! that are perfect squares is the product of these choices

6 × 3 × 2 × 2 × 2 = 144

Therefore, the probability that a randomly chosen divisor of 12! is a perfect square is

P = 144/3320 = 18/415

The numerator and denominator have no common factors, so m=18 and n=415. Thus, m+n=433.

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Answer:

I can solve it, but you'll have to find out, because it's your homework, if it is an independent or dependent event:

9/(9 + 15 + 20)  -->  because we want to know chances of a red pen (qty 9)

9/(24 + 20)

9/44

0.2045454..., approx. 0.2045, or 20.45%

Answer: Hello!

Step-by-step explanation:

If no one can do it, I'll try.

This scenario is an example of dependent probabilities because the outcome of the second draw depends on what happened during the first draw. Specifically, if Joseph drew a red pen during the first draw, then there are fewer red pens remaining in the bag than before the first draw. As a result, the probability of drawing a red pen during the second draw decreases relative to the initial probability, assuming all pens were equally likely to be drawn initially. If the first pull didn't remove any pens from the bag, then the second pull is an independent event, and the probability remains unchanged.

In summary, whether the second event is independent or dependent depends on how many red pens remain in the bag after the first draw.

Answer:

y<-3x+2

Step-by-step explanation:

ok. it's shaded below, so y is gonna be less than. we can eliminate A and B.

looking at the y-intercept, it's 2. that doesn't narrow anything down so lets do rise/run or delta y over delta x

rise/run is -3/1

that gives us -3

putting it all together....

y<-3x+2

D is the correct answer.

i hope you understood. have a great day :)