CD is a perpendicular bisector of chord AB and a chord through CD passes through the center of a circle. Find the diameter of the wheel.



The figure shows a circle. Points A, C, B, E lie on the circle. Chords A B and C E intersect at point D. The length of segment A B is 12 inches. The length of segment C D is 4 inches.




715 in.



10 in.



1425 in.




1215 in.



Need Help ASAP please!!!

Based on the text, the primary source of primate endangerment today is habitat destruction.

Habitat destruction is considered the primary source of primate endangerment based on various factors mentioned in the text. Primates, like many other species, heavily rely on their natural habitats for survival, including food, shelter, and breeding. However, human activities such as deforestation, urbanization, and land conversion for agriculture or infrastructure development have significantly reduced and fragmented primate habitats.

Habitat destruction leads to the loss of critical resources and disrupts the ecological balance necessary for primate populations to thrive. As their habitats shrink, primates face increased competition for limited resources, reduced access to food and water sources, and decreased opportunities for successful reproduction and rearing of offspring. This loss of habitat also exposes primates to increased vulnerability to predation, disease transmission, and human-wildlife conflicts.

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Answer:

hi! this is (insert your name) what does this sybol/mathematical term mean?

√

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

Greetings Mrs.(name here)!

I got my recent test back and I was wondering why this question was incorrect.

For #4, I was sure that you had to find the square root and then multiply by pi, but apparently that's not what some people did and they got it correct.

How do I properly do this question?

-*name here*

There are 15,504 ways to randomly select a team of 5 people from a group of 20 people

If there are 20 people trying out for a team, the number of ways to select a team of n people can be calculated using the formula for combinations, which is:

C(20, n) = 20! / (n! * (20 - n)!)

where C(20, n) represents the number of ways to select n people from a group of 20 people.

For example, if we want to select a team of 5 people, we can plug in n = 5 and calculate:

C(20, 5) = 20! / (5! * (20 - 5)!) = 15,504

Therefore, there are 15,504 ways to randomly select a team of 5 people from a group of 20 people. Similarly, we can calculate the number of ways to select teams of different sizes by plugging different values of n into the formula for combinations.

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There are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

The multiplication principle states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together.

To find the number of ways to choose 3 men from the 12 men, we can use the formula for combination, which is: ⁿCᵣ = n! / (r! (n-r)!).

where n is the total number of men and r is the number of men chosen

so, the number of ways to choose 3 men from the 12 men = ¹²C₃ = 1.

Similarly, we evaluate the number of ways to choose 2 women from the 8 women

as = ⁸C₂ = 14

Now, using the multiplication principle, we can find the total number of ways 3 men and 2 women be chosen if they are equally considered.

220 x 14 = 3080

Therefore, there are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

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1) To find the shear stress from the torque, we need to use the following formula:Shear Stress = (Torque x radius of lead screw) / (Polar Moment of Inertia x length of lead screw)In this case, we are given the rotational speed and power, but not the torque. So, we first need to find the torque.Torque = Power / (Rotational Speed x 2π)Substituting the given values, we get:Torque = 0.25 hp x 550 ft-lbf/sec / (294 rpm x 2π)Torque = 0.888 ft-lbfNow, substituting the torque and lead screw specifications into the shear stress formula, we get:Shear Stress = (0.888 ft-lbf x 0.25 in) / (π x (0.5/2 in)^4 / 2 x 10 in)Shear Stress = 232.69 psi (rounded to two decimal places)Therefore, the shear stress from the torque is 232.69 psi.2) The pitch of a single start 1/2 - 10 lead screw can be found using the formula:Pitch = (1/Threads per inch) x (1/Number of Starts)Substituting the given values, we get:Pitch = (1/10) x (1/1/2)Pitch = 0.1 inches (or 2.54 mm, if you prefer SI units)Therefore, the pitch of the lead screw is 0.1 inches (or 2.54 mm).

A. The shear stress from the torque applied to the lead screw is 1.71e8 lb/ft².

B. The pitch of the single start 1/2 - 10 lead screw is 0.1 inches.

a. To determine the shear stress from the torque applied to the lead screw, we need to use the formula:

τ = Tc / J

where:

τ = shear stress

Tc = torque

J = polar moment of inertia

First, we need to calculate the torque from the given power and speed:

P = Tω

where:

P = power = 0.25 hp = 137.5 ft-lbf/sec (using 1 hp = 550 ft-lbf/sec)

ω = angular velocity = (294 rpm) * (2π/60) = 30.8 rad/sec

Therefore, T = P / ω = 4.46 ft-lbf

Next, we need to calculate the polar moment of inertia:

J = π/2 * (D⁴ - d⁴)

where:

D = major diameter = 0.5 inches = 0.0417 ft

d = minor diameter = D - 2p = D - 2/10 = 0.3 inches = 0.025 ft

Therefore, J = π/2 * ((0.0417)⁴ - (0.025)⁴) = 2.61e-8 ft⁴

Substituting these values into the formula, we get:

τ = Tc / J = (4.46 ft-lbf) / (2.61e-8 ft⁴) = 1.71e8 lb/ft²

Therefore, the shear stress from the torque applied to the lead screw is 1.71e8 lb/ft².

b. The pitch of a single start 1/2 - 10 lead screw is 0.5 inches, which means that the screw will travel a linear distance of 0.5 inches in one complete revolution. The 10 in the lead screw specification refers to the number of threads per inch, which means that there are 10 complete threads in one linear inch of the screw.

Therefore, the pitch of the lead screw is the distance between adjacent threads, which is:

pitch = 1 / threads per inch = 1 / 10 = 0.1 inches

Therefore, the pitch of the single start 1/2 - 10 lead screw is 0.1 inches.

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The expression when evaluated is 17

From the question, we have the following parameters that can be used in our computation:

a = 2, b = 3, c = 4 and d = 12

Also, we have

20 - 2b/a

Substitute the known values in the above equation, so, we have the following representation

20 - 2b/a = 20 - 2 * 3/2

Evaluate

20 - 2b/a = 17

Hence, the solution is 17

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More than 50% of Americans rely upon television broadcasts for their news.

News, current occasions and ancient programming can help make younger humans extra aware of other cultures and those. Documentaries can help increase vital thinking about society and the arena. television can help introduce teens to classic Hollywood movies and overseas movies that they might not otherwise see.

It broadens the know-how of various cultures, and promotes tolerance and international information of worldwide issues. Through contemporary affairs, discovery, lifestyle, cooking indicates and children's programs, television encourages medical and cultural interest.

Agree with and effect: television is the most relied on a form of marketing and stays maximumly probable to make consumers chortle, circulate them to tears or cause feelings. For example, television is with the aid of a long way the maximum relied on shape of video advertising in Canada. 70% of 18-34-year-olds named tv the most truthful compared to 12% for online video.

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Let's denote the ages of the two remaining men as x and x + 3 (since one is 3 years older than the other).

We know that the average age of 6 men is 35 years. So, the sum of their ages is 6 * 35 = 210 years.

We also know that the average age of four of them is 32 years. So, the sum of their ages is 4 * 32 = 128 years.

To find the sum of the ages of the two remaining men, we subtract the sum of the ages of the four men from the sum of the ages of all six men:

210 - 128 = 82 years.

Now, we can set up an equation to solve for the ages of the remaining two men:

x + (x + 3) = 82.

Combining like terms, we get:

2x + 3 = 82.

Subtracting 3 from both sides:

2x = 79.

Dividing both sides by 2:

x = 39.5.

So, one of the remaining men is 39.5 years old, and the other is 39.5 + 3 = 42.5 years old.

The linear model that represents the cost of any number of candy bars can be written as: C = $1.90B + $0.95

To write the linear model that models the cost of any number of candy bars, we need to find the equation of a line that best fits the given data points. We'll use the variables B for the number of candy bars purchased and C for the total cost of the candy bars.

Looking at the given data, we can see that there is a linear relationship between the number of candy bars and the total cost. As the number of candy bars increases, the total cost also increases.

To find the equation of the line, we need to determine the slope and the y-intercept. We can use the formula for the equation of a line: y = mx + b, where m is the slope and b is the y-intercept.

First, let's find the slope (m) using two points from the given data, for example, (3, $6.65) and (25, $48.45):

m = (C2 - C1) / (B2 - B1)

 = ($48.45 - $6.65) / (25 - 3)

 = $41.80 / 22

 ≈ $1.90

Now, let's find the y-intercept (b) using one of the data points, for example, (3, $6.65):

b = C - mB

 = $6.65 - ($1.90 * 3)

 = $6.65 - $5.70

 ≈ $0.95

Therefore, the linear model that represents the cost of any number of candy bars can be written as:

C = $1.90B + $0.95

This equation represents a linear relationship between the number of candy bars (B) and the total cost (C). For any given value of B, you can substitute it into the equation to find the corresponding estimated total cost of the candy bars.

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Answer:

A. An exterior angle of a triangle can equal one of the interior angles of the triangle.

Step-by-step explanation:

The triangle can have more than one exterior angles that can be acute or obtuse angles since the triangles angles must sum to 180 degrees. The exterior angle of a triangle is equal to the sum of the interior angles of the triangle.

Answer:

35 + 37

Step-by-step explanation:

if you try any other number like: 37 + 39 = 76 that doesn't work well because its higher that 75.

Answer:whats the question  

Explanation:(pls dont report me as soon as u tell me the question i will edit my answer and answer correctly)

Answer:

It is because the is

Step-by-step explanation:  

A one-sided significance test provides a p-value of 0.4, which helps us make decisions about the null hypothesis in a statistical analysis. The p-value represents the probability of obtaining results as extreme or more extreme than the observed data, assuming the null hypothesis is true. In most cases, a significance level (alpha) of 0.05 is used as a threshold for determining statistical significance.

When we compare the p-value of 0.4 to the significance level of 0.05, we notice that the p-value is greater than the alpha value. This indicates that we do not have sufficient evidence to reject the null hypothesis. In other words, the results of the study are not statistically significant, and we cannot conclude that there is a significant effect or relationship between the variables of interest.

It is important to remember that failing to reject the null hypothesis does not necessarily mean that there is no effect or relationship between the variables; it merely suggests that the evidence is not strong enough to make such a claim. Further research or larger sample sizes might be needed to explore the relationship between the variables more accurately.

In conclusion, a one-sided significance test with a p-value of 0.4 suggests that we cannot reject the null hypothesis, as the results are not statistically significant at the commonly used alpha level of 0.05.

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The system of linear equations representing lines 1 and 2 is y = x and y = -1/2x + 3

from the question, we have the following parameters that can be used in our computation:

The graph

A linear equation is represented as

y = mx + c

Using the points, we have

Line 1

y = x

For line 2, we have

y = mx + 3

Next, we have

6m + 3 = 0

This gives

m = -1/2

So, we have

y = -1/2x + 3

Hence, the system of linear equations is y = x and y = -1/2x + 3

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Answer:

sociable I think........

Option A. In observational studies, the variable of interest can be either numerical or categorical, so it does not have to be numerical.

Observational studies are a type of study in which researchers observe and record data on variables of interest without manipulating them directly. These studies are often used in fields such as epidemiology, social sciences, and psychology to investigate relationships between variables and identify potential risk factors for diseases or other outcomes.

The variable of interest in an observational study can be either numerical or categorical. Numerical variables are those that can be measured and expressed as a numerical value, such as age, height, weight, or blood pressure. Categorical variables are those that are qualitative or nominal in nature, such as gender, race, or smoking status.

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In observational studies, the variable of interest ____

A. cannot be numerical.

B. must be numerical.

C. is controlled.

D is not controlled.

To prove that the triangles are similar by the SSS similarity theorem, we use MN corresponds to QR, also ∠S ≅ ∠O

Two triangles are comparable if the measurements of their corresponding sides are proportionate. Additionally, if the measurements of two sides in one triangle are proportional to the measurements of the corresponding sides in another triangle and the included angles are congruent, the triangles are similar.

Similar figures

Two figures are said to be similar if they have the same shape and the ratio of their corresponding sides is in the same proportion.

From the image, MN corresponds to QR, also ∠S ≅ ∠O

To prove that the triangles are similar by the SSS similarity theorem, we use MN corresponds to QR, also ∠S ≅ ∠O

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Step-by-step explanation:

A) 4(3) + 2 = 14

True

B 3(5) - 8 = 7

False

C 2 - 10 = - 8

False

D 6 - 2(7) = 6 - 14 = - 8

True

From the given information provided, the area of the new hexagon when dilated by scale factor is 675 square inches.

When a polygon is dilated by a scale factor of k, its area is multiplied by k².

A hexagon is a six-sided polygon. It is a flat shape with straight sides, and all six of its angles add up to 720 degrees.

In this case, the hexagon is being dilated by a scale factor of 3, so the area of the new hexagon will be:

Area of new hexagon = (scale factor)² x Area of original hexagon

Area of new hexagon = 3² x 75

Area of new hexagon = 9 x 75

Area of new hexagon = 675 square inches

Therefore, the area of the new hexagon is 675 square inches.

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Answer:

-1

Step-by-step explanation:

l -1 l = 1

1 - -1 = 2

i HOPE U UNDERSTOOD!! :)

Answer: D-60

Step-by-step explanation:

Let x be the number of weeks.

For Account A,

Initial amount = $80

Amount added per week = $3.50 per week

Money after x weeks = 80+3.50x    ....(i)

For Account B,

Initial amount = $95

Amount added per week = $3.25 per week

Money after x weeks = 95+3.25x    ....(i)

When both account have the same amount , then

\(80+3.50x=95+3.25x \\\\\Rightarrow\ 3.50-3.25x=95-80\\\\\Rightarrow\ 0.25x=15\\\\\Rightarrow\ x=\dfrac{15}{0.25}\\\\\Rightarrow\ x=60\)

hence, it will take 60 weeks.

The correct option is D-60.

Answer:

Step-by-step explanation:

I'm going to assume you want it to be a perfect triangle, so then we would have the equation 4x=24. So we can divide each side by 4 to get rid of the 4 and get x by itself. So 24/4= 5. So x=5

The lowest integer value m can take in the inequality 7m + 5 > 49 - 3m is 5.

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

In other words, Inequalities are mathematical expressions involving the symbols >, <, ≥ and ≤.

Therefore, let's solve the inequality for the lowest integer value of m

7m + 5 > 49 - 3m

add 3m to both sides of the inequality

7m + 5 > 49 - 3m

7m + 3m + 5 > 49 - 3m + 3m

10m + 5 > 49

subtract 5 from both sides of the inequality

10m + 5 > 49

10m + 5 - 5 > 49 - 5

10m > 44

m > 44 / 10

m > 4.4

Hence,

lowest integer = 5

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Answer:

we have x = y +2

now we put that value in other eq.

2(y+2)-3y = 1

2y+4-3y = 1

2y-3y = 1-4

-y= -3 (cut the signs on both side)

y= 3

now we put y value in the other given equation

x = 3+2

x = 5

we have y as 3 and x as 5.

Answer:

(5^8)pi

Step-by-step explanation:

(5^4)^2 * pi=5^8 * pi

Answer:

122.5 i solved it on paper

Step-by-step explanation: