(-2/3, 1/4); y - 2 = -2/3(x+1)

The rear windshield wiper of a car rotated 120 degrees, as shown in the figure. The area cleared by the wiper blade is approximately 205.875 square inches.

The problem states that a car’s rear windshield wiper rotates 120 degrees, as shown in the figure. Our aim is to find the area cleared by the wiper.

The wiper's arm is represented by a line segment and has a length of 14 inches.

The wiper's blade is perpendicular to the arm and has a length of 25 inches.

Angular degree measure indicates how far around a central point an object has traveled, relative to a complete circle. A full circle is 360 degrees, and 120 degrees is a third of that.

As a result, the area cleared by the wiper blade is the sector of a circle with radius 25 inches and central angle 120 degrees.

The formula for calculating the area of a sector of a circle is: A = (θ/360)πr², where A is the area of the sector, θ is the central angle of the sector, π is the mathematical constant pi (3.14), and r is the radius of the circle.

In this situation, the sector's central angle θ is 120 degrees, the radius r is 25 inches, and π is a constant of 3.14.A = (120/360) x 3.14 x 25²= 0.33 x 3.14 x 625= 205.875 square inches, rounded to the nearest thousandth.

Therefore, the area cleared by the wiper blade is approximately 205.875 square inches.

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Answer:

ohh

Step-by-step explanation:

Answer:

answer is B

Step-by-step explanation:

edgen 2021

Answer:

12/20

Step-by-step explanation:

\(\displaystyle \frac{3}{5}=\frac{3}{5}\cdot\frac{4}{4}=\frac{12}{20}\)

The answer is:

In-depth-explanation:

The denominator of 3/5 is 5. To get from 5 to 20, we multiply it by 4.

We need to multiply both the numerator and the denominator by 4, so we do this:

\(\sf{\dfrac{3\times4}{5\times4}}\)

\(\sf{\dfrac{12}{20}}\)

Answer:

a

Step-by-step explanation:

In set-builder notation, the same set can be expressed as {x|x (N and 4<x<10)}, which reads as "the set of all x such that x is a natural number and 4 < x < 10."

How to solve the question?

a. The set of natural odd numbers greater than 2, but less than 11 can be expressed using the roster method as {3, 5, 7, 9}. The set includes all the odd natural numbers between 2 and 11, excluding the endpoints, since 2 is not odd, and 11 is not less than 11.

b. The set {x|x (N and 4<x<10)} can be expressed using the roster method as {5, 6, 7, 8, 9}. The set includes all the natural numbers greater than 4 and less than 10, since x is a natural number (N) and satisfies the condition 4 < x < 10.

In set-builder notation, the same set can be expressed as {x|x (N and 4<x<10)}, which reads as "the set of all x such that x is a natural number and 4 < x < 10." The vertical bar separates the description of the elements of the set (the condition) from the set itself.

The roster method and set-builder notation are both ways of describing sets, but the roster method lists all the elements of a set, while the set-builder notation describes the properties or conditions that define the set. Both methods are useful in different situations and depend on the specific context and the purpose of the set description.

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Your complete question is :-

express each set using the roster method.

a. the set of the natural odd numbers greater than 2, but less than 11

b.{x|x (N and 4

Answer:

50 cents

Step-by-step explanation:

half of 5.00$ is 2.50$

Answer:

  a) False

  b) True

Step-by-step explanation:

a) h(1) = 0/0, which is certainly undefined. There may or may not be a finite limit at that point, so the line x=1 is not necessarily a vertical asymptote.

The assertion that x=1 is necessarily a vertical asymptote is False.

__

b) h(2) = 4/0, another undefined value. However, we can be certain that the limit of h(x) as x → 2 is infinite, meaning the line x=2 will be a vertical asymptote.

The assertion that x=2 is necessarily a vertical asymptote is True.

_____

The graph shows a simple example of a function that has the given characteristics.

EXPLANATION

Given the equations in the problem, we just need to replace each p-term by -1/4 in order to see if this is a solution to each equation:

A.) 3*(-1/4) +2 = 5/4 = 5/4 --------> p = -(1/4) is a solution of this equation. ✔✔

B.) 5*(-1/4) - 2 = -13/4 ≠ 3/4 -------> p = -(1/4) is NOT a solution of this equation.✘✘

C.) 3*(-1/4) -2 = -11/4 ≠ 5/4 -------> p = -(1/4) is NOT a solution of this equation.✘✘

D.) 5*(-1/4) +2 = -11/4 ≠ 5/4 -------> p = -(1/4) is NOT a solution of this equation.✘✘

Siama and Wills used different methods to find the differences between (5x + 6x) and (2x - 1) but they both arrived at the same answer.

I prefer Wills method because it is easier and less complicated.

Wills method:

(5x + 6x) - (2x - 1)

Subtract both 2x and -1

5x + 6x - 2x - - 1

5x + 4x + 1

In conclusion, Wills method is preferred when both methods are compared.

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Answer:

U GO TO DHS

Step-by-step explanation:

the difference of elevation between a and b.Let AB = x, tan 36 = x/111.356 ,x = 111.356 tan 36= 64.39 m and Difference in elevation = 64.39m

We are given that two ridges B and C form a valley with a point A at the bottom part with an elevation difference of 111.356m between the ridges and and angle of elevation of 36 degrees at point A. To find the difference of elevation between A and B, we use the formula of tangent which is tan θ = Opposite/Adjacent. We substitute the values and solve for x, which is the elevation difference between A and B. So the difference in elevation between A and B is 64.39m.

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Answer:

6/4. Simplified, is 1 2/4

Step-by-step explanation:

To determine how many trees the lot must sell each season to break even, a system of equations should be written and solved.The cost of operating the Christmas tree lot is $1200 per season. It pays an average of $15 per tree sold, and the average selling price of each tree is $45. Let's assume that the number of trees sold is t. Then we can write two equations to represent the situation:

Revenue = Selling Price * Number of Trees SoldCost = Operating Cost + Pay Per Tree SoldBased on the information given in the problem statement, we can write the following equations:Revenue = 45tCost = 1200 + 15tTo break even, revenue must equal cost. Therefore, we can set the two equations equal to each other and solve for t:45t = 1200 + 15t30t = 1200t = 40The Christmas tree lot must sell 40 trees each season to break even. This means that the revenue generated from selling the 40 trees would be equal to the cost of operating the lot plus the pay per tree sold.

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The set of pairs for which x and y vary inversely is given as follows:

{(-1, -2/7), (4, 1/14), (6, 1/21)}.

(third set).

A direct proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

For an inverse relation, the relation is modeled as follows:

y = k/x.

Meaning that when x increases, y decreases at a constant rate.

The constant is then obtained as follows:

k = yx.

Hence the third relation is then the relation for which x and y vary inversely, as:

k = -1 x -2/7 = 4 x 1/14 = 6 x 1/21.

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The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:

"2/3y" represents two-thirds of a number.

"9" represents the number nine.

"y + 1" represents the number increased by one.

Now let's construct the sentence:

"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.

"is less than" - This is the comparison symbol in the inequality.

"the number" - This refers to the expression "y + 1," representing the number increased by one.

Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."

Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

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By subtracting and adding mixed numbers, we can see that at the end she has (5 + 7/8) tubes of paint.

We know that initially Allie had (4 + 3/4) tubes of purple paint, and she sed (2+ 1/4) tubes.

So at this point we need to take the difference between the two mixed numbers, we will get:

(4 + 3/4) - (2 + 1/4) = (4 - 2) + (3/4 - 1/4)

(4 - 2) + (3/4 - 1/4) = 2 + 2/4

2 + 2/4  = 2 + 1/2

Then she founds (3 + 3/8) more. Now we need to add that:

2 + 1/2 + (3 + 3/8) = (2 + 3) + (1/2 + 3/8)

(2 + 3) + (1/2 + 3/8) = 5 + (4/8 + 3/8)

5 + (4/8 + 3/8) = 5 + 7/8

She has 5 + 7/8 tubes of purple paint.

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Answer:

The effective annual rate is 11.03%

Step-by-step explanation:

The effective interest rate is calculated through the formula:

\(r = (1 + i/n)^n - 1\)

In this formula, r represents the effective interest rate, i represents the stated interest rate or APR, and n represents the number of compounding periods per year.

For a quarterly compounded interest, n=4. The APR i=10.60%=0.106

Given an APR r, the effective annual rate for a quarterly compound is:

\(r = (1 + 0.106/4)^4 - 1=1.0265^4-1\)

\(r=1.11029-1=0.1103\)

The effective annual rate is 11.03%

Answer: This is the answer. please give me the brainliest. Thanks

Answer:

23.52

Step-by-step explanation:

12x3-12.48

Answer:

10 yd, because you subtract 15 to 5.

The area of triangle G is 4 times the area of triangle B.

The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies.

Triangles G and B are scaled copies of each other.

The area of Triangle G is 6 and the area of triangle B is 1.5.

Let x be the number by which the area of triangle G is greater than the area of triangle B.

So,

area of triangle G = x times Triangle B

6 = 1.5x

x = 6/1.5

x = 4

The area of triangle G is 4 times greater than the area of triangle B.

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Answer:

120 Girls

Step-by-step explanation:

First, you have to combine the dark shade girls and the light shade girls together to get 7.

Then, you should divide 210 by 7, to get 30

Finally, using 30 as your multiplier,

you go and multiply 30 x 4 to get 120 girls :D

Answer:

the one you've selected pink, (the one that looks like a U)

Step-by-step explanation:

if you can pass a vertical line through a supposed function and have it only cross once, it's a function.

The class width used for the frequency distribution is 6.

The class midpoint for the class 23-29 is 26.

The class midpoint for the class 30-36 is 33.

The class midpoint for the class 37-43 is 40.

To find the class width of the frequency distribution, we need to determine the range of each age class. The range is the difference between the upper and lower boundaries of each class. Looking at the table, we can see that the class boundaries are as follows:

23-29

30-36

37-43

For the class 23-29, the lower boundary is 23 and the upper boundary is 29. To find the class width, we subtract the lower boundary from the upper boundary:

Class width = 29 - 23 = 6

So, the class width for the frequency distribution is 6.

To find the class midpoint for each class, we take the average of the lower and upper boundaries of each class.

For the class 23-29:

Class midpoint = (23 + 29) / 2 = 52 / 2 = 26

For the class 30-36:

Class midpoint = (30 + 36) / 2 = 66 / 2 = 33

For the class 37-43:

Class midpoint = (37 + 43) / 2 = 80 / 2 = 40

So, the class midpoint for the class 23-29 is 26, for the class 30-36 is 33, and for the class 37-43 is 40.

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Answer:

The height of the flag was 3 feet.

Step-by-step explanation:

To solve this problem, we must first recall the formula for area of a rectangle to be:

Area = base * height

Next, we can substitute in the values that we were given in the problem.  We were told that the area was 27 square feet and the base was 9 feet.

27 = 9 * height

Now we can treat this equation that we have created similar to any other equation we would like to solve.  We must solve for the unknown, or the variable, which in this case is the height.  To do this, we should divide both sides by 9 to get the "height" variable by itself on the right side of the equation.  This is modeled below:

27/9 = (9 * height)/9

3 = height

Therefore, the height of the flag was 3 feet.

Hope this helps!

Answer:

The height is 3,

Step-by-step explanation:

First up, if we know the B in the B*H=A formula, we can divide the area by the base (27/9) and get the height, 3.

I too am learning this. The thing is you want to do a reverse order. For example, 2*3=6; so automatically we would know that 6/3=2.

Hope this has helped!

:)

Answer:

x is 9

Step-by-step explanation:

By changing the central angle, ∠CAB, the inscribed angle, ∠CDB has the following data sets:

m∠BAC (β)                                m∠BDC (α)

42°                                               84°

40°                                               80°

45°                                               90°

35°                                               70°

52°                                               104°

A circle can be defined as a closed, two-dimensional curved geometric shape with no edges or corners. Also, a circle refers to the set of all points in a plane that are located at a fixed distance (radius) from a fixed point (central axis).

In Geometry, a circle is considered to be a conic section which is formed by a plane intersecting a double-napped cone that is perpendicular to a fixed point (central axis) because it forms an angle of 90° with the central axis.

The inscribed angle theorem states that the measure of an inscribed angle is one-half the measure of the intercepted arc in a circle. Thus, this is given by this mathematical expression:

m∠BDC = ½ × m∠BAC.

For this exercise, we would change the central angle, ∠CAB, so that the inscribed angle, ∠CDB can have the following data sets:

m∠BAC (β)                                m∠BDC (α)

42°                                               84°

40°                                               80°

45°                                               90°

35°                                               70°

52°                                               104°

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Answer:

plato

Step-by-step explanation:

m∠BAC m∠BDC

50° 25°

70° 35°

90° 45°

125° 62.5°

150° 75°

Using the function f(x) = 1/2 x and the inverse of the function f⁻¹(x) = 2x, the solutions of the given are :

f(2) = 1, f⁻¹(1) = 2, f⁻¹(f(2)) = 2

f⁻¹(-2) = -4, f(-4) = -2, f(f⁻¹(-2)) = -2

Given a function,

f(x) = 1/2 x

And an inverse function,

f⁻¹(x) = 2x

We have to find the values of the following.

f(2) = 1/2 × 2 = 1

f⁻¹(1) = 2 × 1 = 2

f⁻¹(f(2)) = f⁻¹(1) = 2 × 1 = 2

f⁻¹(-2) = 2 × -2 = -4

f(-4) = 1/2 × 4 = -2

f(f⁻¹(-2)) = f (-4) = 1/2 × 4 = -2

So, in general, f⁻¹(f(x)) = f(f⁻¹(x))

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