The diameter of a circle is 3 in. Find its area to the nearest hundredth.

Another way to look at it is to draw the chord UW. Then ΔWZU is an isosceles triangle, and the perpendicular bisector of UW bisects ∠Z and also goes through the circle center. Then the figure is symmetrical about that diameter secant, making WT ≅ UV.

A secant of a circle is known to be a straight line that intersects the circle at two different points. Secant is derived from the Latin secare, meaning "to cut". It can also be understood beyond the circle as an extension of the chord of the circle.

If the secant intersects the circle at two points, you get chords at the two points of intersection. A chord of a circle is a segment whose endpoint lies on an arc.  

Using the secant rule:

ZW × WT = ZU × UV

Substituting for ZT and ZV, you have

ZW × (ZW + WT) = ZU × (ZU + UV)

ZW² + ZW×WT = ZU² + ZU×UV

Substituting ZW for ZU everywhere, we have

ZW² + ZW×WT = ZW² + ZW×UV

Dividing by ZW gives

ZW + WT = ZW + UV

and subtracting ZW leads us to the conclusion

WT = UV

To know more about secant rule, visit:

https://brainly.com/question/23026602

#SPJ1

Answer:

Step-by-step explanation:

a, e, f

Answer:

70 ways

Step-by-step explanation:

We can solve our answer by using factorials, we know that the parade organizer recieved 8 entries in total, but the question asks how many ways he can arrange 4 out of the 8. Our equation will be:

8! / 4!

(8 * 7 * 6 * 5) / (4 * 3 * 2)

1680 / 24

70

There are 70 ways the parade organizer can arrange 4 floats out of the 8 entries.

To find the number of ways the parade organizer can arrange 4 floats out of the 8 entries, we can use the concept of combinations, specifically the combination formula.

The number of ways to choose r objects from a set of n objects is given by the combination formula:

C(n, r) = n! / (r!(n-r)!)

Where n is the total number of objects (8 entries in this case), r is the number of objects to be chosen (4 floats in this case), and ! represents the factorial function (the product of all positive integers up to that number).

Now, let's plug in the values:

C(8, 4) = 8! / (4!(8-4)!)

C(8, 4) = 8! / (4! * 4!)

Now, calculate the factorials:

8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1, which is 40,320.

4! = 4 x 3 x 2 x 1, which is 24.

Now, substitute the values back into the combination formula:

C(8, 4) = 40,320 / (24 x 24)

C(8, 4) = 40,320 / 576

C(8, 4) = 70

To learn more about the combination;

https://brainly.com/question/29594894

#SPJ3

The equation of the line that represents the graph will be y = - 1.6x + 3.4.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).

Then the equation of the line is given as,

\(\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)\)

From the graph, the two points are (-1, 5) and (4, -3). Then the equation of the line is given as,

(y - 5) = [(- 3 - 5) / (4 + 1)](x + 1)

y - 5 = - 1.6(x + 1)

y = - 1.6x - 1.6 + 5

y = - 1.6x + 3.4

The equation of the line that represents the graph will be y = - 1.6x + 3.4.

More about the line passing through two points link is given below.

https://brainly.com/question/12740817

#SPJ1

Using the Pythagorean theorem, the length of the side x is √147.

So, the formula of the Pythagorean theorem:

Now, substitute the values and calculate as follows:

Therefore, using the Pythagorean theorem, the length of the side x is √147.

Know more about the Pythagorean theorem here:

https://brainly.com/question/343682

#SPJ1

Answer:

square or rectangle

Step-by-step explanation:

Answer:-1/6

Step-by-step explanation:

Draw a line out in the 2nd quadrant.

Your y=\(\sqrt{35}\)    hypotenuse=6  use pythagorean theorem to solve for x

6² = 35 + x²

x=1

so

cosΘ = -1/6

Answer:

3 (remainder 3)

Step-by-step explanation:

Answer:

The correct answer (B)

Answer:

64

Step-by-step explanation:

 30    

 —— +  72 simplify which is then 15/1 which is then 15+7^2 =64

 2    

Answer:

If both statements are true or if both statements are false then the converse is true​. A conditional and its converse do not mean the same thing.

Step-by-step explanation:

\(\textit{volume of a prism}\\\\\ V=Bh ~~ \begin{cases} B=\stackrel{base's}{area}\\ h=height\\[-0.5em] \hrulefill\\ V=540\\ B=120 \end{cases}\implies 540=120h\implies \cfrac{540}{120}=h\implies \cfrac{9}{2}=h\)

Answer:

1.5cm height giving ace

Answer:

The correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.

Step-by-step explanation:

What is probability?

Probability is the branch of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely it is that a claim is true.

To find which 2 books describe a pair of dependent events:

A pair of two dependent events are simply those in which the selection of the second item is contingent on the selection of the first item, causing the probability to change.

Because the sample size is lowered when the initial item is taken without replacement, choosing the exact same item reduces the chance.

Now, in regard to the question, this means that for two of the occurrences to be independent, they must be on the same shelf and of the same type of book, so that the second book cannot be selected until the first one is.

Option D, where both books are on the same shelf and are of the same type, is the only option that fulfills this requirement.

Therefore, the correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.

Know more about probability here:

brainly.com/question/25870256

#SPJ4

The line is horizontal so the x value of the dot doesn’t matter because the x is a horizontal location.

The vertical distance would be the y value to the line.

-19 to 0 would be 19 and from 0 to 3 is 3

Total distance is 19 + 3 = 22

The answer is 22

Answer:

Step-by-step explanation:

Given that Ruben's distance from Barstow is d = |210 -60t|, you want to know the time t when he is exactly 90 miles from Barstow.

The absolute value will be 90 when the argument of the function is either -90 or +90.

The question resolves to two equations:

These two-step linear equations can be solved in the usual way:

Then ...

Ruben is 90 miles from Barstow after driving 2 hours, and again after driving 5 hours.

Answer:

The exterior angle to the vertex P, measuring 90°

Step-by-step explanation:

The sum of the internal angles of any triangle needs to be equal 180 degrees. So, we can write two equations:

mP = mQ + mR

mP + mQ + mR = 180°

Substituting (mQ + mR) by mP in the second equation, we have:

mP + mP = 180°

mP = 90°

this right angle is the bigger angle in the triangle, because the sum of all three angles needs to be 180°.

Each exterior angle is the supplementary angle of the respective internal angle, so the bigger the internal angle, the smaller the external angle.

So if the bigger internal angle is mP = 90°, the smaller exterior angle is 180 - 90 = 90°.

The speed of the rabbit in miles per hour is 50.33 mi/h.

We know that the speed of the jackrabbit is:

1.35 km/min.

Now we need to use the relations:

1 hour = 60 minutes.

So, in one hour, the rabit runs 60 times the distance that it runs in one minute, then:

1.35 km/min = 60*(1.35 km/h) = 81km/h

Now we need to change kilometers for miles.

1km = 0.6214 mi

Then we can rewrite:

81km/h = 81*0.6214mi/h = 50.33 mi/h

The speed of the rabbit in miles per hour is 50.33 mi/h.

If you want to learn more about changes of units:

https://brainly.com/question/9032119

#SPJ1

Answer:

The probability is 0.857

Step-by-step explanation:

We know that:

There is a total of 440 cars

There are 63 cars with defective turn signals

There are 39 with defective tires.

Now we want to find the probability that a randomly selected car does not have defective turn signals.

If all the cars have the same probability of being selected, this probability will be equal to the quotient between the number of cars that do not have defective turn signals and the total number of cars.

We know that the total number of cars is 440

And 63 of these have defective turn signals, then the rest don't.

440 - 63 = 377 cars do not have defective turn signals.

Then the probability is:

P = 377/440 = 0.857

If y steel have any question i am waiting for your massage(comment. Or pv)

The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

for such more question on linear function

https://brainly.com/question/9753782

#SPJ8

Answer:

I have completed the answers and attached them to the explanation.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question asks for a subtraction expression:

length is always a positive number so bigger number first here.

OB = 4-(-1)              >only moves in x direction so subtract x's

AB = 4-(-2)             >only moves in y direction so subtract y's

Answer:

m=0

Step-by-step explanation:

the slope is calculated using two points on the line and the formula

m = (y2 - y1) ÷ (x2 - x1)

where

x1 and y1 are the coordinates of point 1

x2 and y2 are the coordinates of point 2

for example, you can take

point 1 = (x1;y1) = (-2;3)

point 2 = (x2;y2) = (-1;3)

then your slope is

m = (3 - 3) ÷ (-1 - (-2)) = 0

notice that x1 is always at the left of x2 on the x axis

and it makes sense that your slope is 0 because for each x your y is the same

Answer:

456

Step-by-step explanation:

Product means an answer derived from multiplication.  Therefore, if the product is 155952, and one value is 342, then the following equation is true:

342x = 155952, or 342 * x = 155952

Divide 155952 by 342 to get: 456.

Check the work in the equation:

342(456) = 155952

155952 = 155952, which is true, so the answer is 456.

If I helped, please make this answer brainliest! ;)

Answer:

170, 171, 172

Step-by-step explanation:

x + x + 1 + x + 2 = 513

3x + 3 = 513

3x = 510

x = 170

x + 1 = 171

x + 2 = 172

Step-by-step explanation:

not sure about last question but...did it with all my will..

Answer:

C ON EDGE

Step-by-step explanation:

Answer:80

Step-by-step explanation:

Answer:

2x + 1  

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

3x - 1 + x + 2                Combine like terms

2x + 1  

The number of years it would it take for there to be one person for every square yard is 108,325.68 years.

When there is one person for every square yard, it means that the population and land area are equal in value.

Number of years = (In FV / PV) / r

(In 19 billion / 4,079,000) / 0.043 = 108,325.68 years

To learn more about exponential functions, please check: brainly.com/question/26331578

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer.....

Variable costs are costs that change as the quantity of the good or service that a business produces changes. Variable costs are the sum of marginal costs over all units produced. They can also be considered normal costs. Fixed costs and variable costs make up the two components of total cost. 

Hope it helps you!

Mark me brainliest pls....

Follow me!:)