A Ferris wheel car moves from point C to point D on the circle shown below: What is the arc length the car traveled, to the nearest hundredth
Answers
The result to the nearest hundredth, the arc length traveled by the Ferris wheel car is approximately 22.02 feet.
To find the arc length traveled by the Ferris wheel car, we need to know the radius of the circle and the central angle subtended by the arc CD.
Given:
- Angle C = 42°
- Radius d = 30 ft
To calculate the arc length, we can use the formula:
Arc Length = (Central Angle / 360°) * (2π * Radius)
Let's plug in the values and calculate the arc length:
Arc Length = (42° / 360°) * (2π * 30 ft)
Arc Length ≈ (0.1167) * (188.5 ft)
Arc Length ≈ 22.02 ft
Rounding the result to the nearest hundredth, the arc length traveled by the Ferris wheel car is approximately 22.02 feet.
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A Ferris wheel car moves from point C to point D on the circle shown below: с D 42° A d = 30 ft What is the arc length the car traveled, to the nearest hundredth?
0 7.91 feet
O 8.32 feet
O 10.99 feet
O 22.02 feet
Related Questions
(05.06 LC)
Which graph best represents a decreasing function?
A graph shows a non linear curve that joins the ordered pairs 0, 0, and 3, 1.5, and 5, 5.
A graph shows a straight line that joins the ordered pairs 5, 0 and 5, 5.
A graph shows a non linear curve that joins the ordered pairs 0, 5, and 1, 2, and 5, 0.
A graph shows a straight line that joins the ordered pairs 0, 3 and 5, 3.
Answers
A graph shows a non linear curve that joins the ordered pairs 0, 5, and 1, 2, and 5, 0.
What does it mean when a graph or a point on the Cartesian plane is symmetric about the origin or with respect to the origin?
Answers
When a graph or a point on the Cartesian plane is symmetric about the origin or with respect to the origin, it means that the graph or point maintains its shape and position when reflected across the origin.
In other words, if you draw a line passing through the origin and the graph or point, the portion of the graph or point on one side of the line will be an exact mirror image of the portion on the other side.
To determine if a graph is symmetric about the origin, we can check if the coordinates of a point on the graph, (x, y), satisfy the condition that (-x, -y) is also on the graph. For example, if the point (2, 3) is on the graph, we can verify that (-2, -3) is also on the graph.
Similarly, for a single point on the Cartesian plane to be symmetric about the origin, its coordinates (x, y) must satisfy the condition that (-x, -y) is also a point on the plane. For instance, if the point (4, -1) is symmetric about the origin, (-4, 1) should also be a point on the plane.
symmetry about the origin in the Cartesian plane refers to maintaining the same shape and position when reflected across the origin. It involves verifying that for every point (x, y) on the graph or plane, (-x, -y) is also a point on the graph or plane.
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OMGGGGGGG PLSSS HELP ME WITH THIS QUESTION, IM SUPER STUCK PLS PLS PLS ITS DUE VERY SOON!!!! EXPLAIN PLSSS, WILL MARK THE BEST ANSWER BRAINEST
Answers
find dy/dx. x = t2, y = 9 − 4t dy dx =
Answers
The value of dy/dx is -2/t.
The given equation is x = t², y = 9 − 4t.
We are to find dy/dx.
To find dy/dx, we use the following steps:
Step 1: Find dx/dt by differentiating x w.r.t t. dx/dt = 2t
Step 2: Find dy/dt by differentiating y w.r.t t. dy/dt = -4
Step 3: Find dy/dx by dividing dy/dt by dx/dt. dy/dx = (dy/dt) / (dx/dt)
Substitute dx/dt and dy/dt values obtained in Steps 1 and 2 into the formula obtained in Step 3.
Therefore, dy/dx = -4 / 2t = -2/t.
Hence, the value of dy/dx is -2/t.
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Mrs. DeRossett's sister goes to the bank to get a loan to purchase a new home. The bank advises that she make sure her mortgage payment does not exceed 30% of her monthly take home pay. If Mrs. DeRossett's sister makes roughly $5,000 per month, then what would be her recommended maximum monthly mortgage?
Answers
Answer:
1,500
Step-by-step explanation:
NEED HELP ASAP PLEASE!!
Answers
Answer:
\(d\approx 17.5 \text{ g/mL}\)
Step-by-step explanation:
We can use the formula
\(\text{density}=\dfrac{\text{mass}}{\text{volume}}\)
to calculate the density of the gold in the cylinder:
↓ plugging in the given values
\(d = \dfrac{447\text{ g}}{25.5\text{ mL}}\)
↓ evaluating using a calculator
\(d\approx 17.5 \text{ g/mL}\)
For the x-values 1, 2, 3, and so on, the y-values of a function form
an arithmetic sequence that decreases in value. What type of
function is it?
A. Decreasing linear
ОО
B. Exponential growth
C. Exponential decay
d
D. Increasing linear
Answers
Answer:
A. Decreasing linear
Step-by-step explanation:
You have at most $75 to spend on books and music. You want to spend less than $20 on music and no more than $60 on books. Which system represents the situation?
Answers
Answer:
$20>$75>$60
Step-by-step explanation:
hope it helps
The system of inequalities that represent the situation are -
x < 20
y ≤ 60
x + y ≤ 75
We have $75 to spend on books and music and we want to spend less than $20 on music and no more than $60 on books.
We have to determine which system represents the situation.
You have $50 to spend on chocolates and toffees. You want to spend more than $20 on toffees and less than $15 on chocolates. How will you find the possible solutions under such constraints ?Assume the cost spend on toffees is $x and that on chocolates is $y. Then-
x > 20
y < 15
x + y ≤ 50
Solve them graphically and you will find the possible solution set.
According to the question, we have -
Amount available to spend = $75
For music → amount < $20
For books → amount ≤ 60
Assume the cost spend on music is $x and that on books is $y.
Then -
x < 20
y ≤ 60
x + y ≤ 75
Check the graph attached for solution region. The points inside the triangle formed (marked by red thick boundary) represents the points which satisfy the above conditions.
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Help help help help help help help help help help help help help help help help help help
Answers
Answer:
Step-by-step explanation:
Part 1
P(z < -1.45)
Using the z score table
P =
Part 2
We solve using z score formula
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
a) P(X >52)
x = 52
Mean = 60
Standard deviation = 8
z = 52 - 60/8
z = -1
P-value from Z-Table:
P(x<52) = 0.15866
P(x>52) = 1 - P(x<52) = 0.84134
b) P(48 < x < 64)
Write an expression that is equivalent to thank you:)
Answers
Answer:
You can write equivalent expressions by combining like terms. Like terms are terms that have the same variables raised to the same powers. For example, the list shows some pairs of like terms. the new coefficient is 9.
Step-by-step explanation:
\(hope \: it \: helps \: you\)
the set of all images of the elements in the domain of a function is called the
Answers
The set of all images of the elements in the domain of a function is called the "range" or "codomain" of the function.
The set of all images of the elements in the domain of a function is called the range. The domain of a function refers to the set of input values or independent variables that the function can accept. It represents the set of values for which the function is defined. On the other hand, the range of a function refers to the set of output values or dependent variables that the function can produce. It represents the set of values that the function can take on as the input values change. The range is determined by evaluating the function for all possible input values in the domain. Thus, it is essential to determine both the domain and range of a function to fully understand its behavior and properties.
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Danielle pays a monthly charge of $69 for her cable bill. She also pays a fee every time she watches a movie on demand. Last month danielle watched 7 movies on demand, and her total monthly bill was $104. Select from the drop-down menu to correctly complete each statement. The monthly charge for danielle's cable bill is choose. . Danielle also pays choose. Every time she watches a movie on demand.
Answers
Danielle viewed 7 movies on demand, thus you must divide her 35 dollars among them. So the monthly charge for Danielle's cable bill is $5.
Danielle pays a monthly charge of $69 for her cable bill.
She also pays a fee every time she watches a movie on demand.
Last month Danielle watched 7 movies on demand, and her total monthly bill was $104.
We have to find the monthly charge for Danielle's cable bill to choose.
Remove the monthly fee of 69 dollars for cable service from the total of 104 dollars, then check the statement to see that there is still a mystifying 35 dollars on it.
Danielle viewed 7 movies on demand, thus you must divide her 35 dollars among them, giving you the result of $5 per on-demand movie.
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PLSS CAN SOMEONE HELP I'M STUCK IN THIS QUESTION
Answers
The maximum height the projectile will reach is approximately 4.95 feet.
How to calculate the heightFrom the information, x = (60 cos 15°) t
y = (60 sin 15°) t - 16t^2
We can simplify these equations by using the values of sin 15° and cos 15°, which are approximately 0.259 and 0.966, respectively. This gives us:
x = 57.94t
y = 15.87t - 16t²
In this case, to graph the path of the projectile, we can plot the values of x and y at different values of t. Since the projectile is launched from ground level, its initial height is h = 0. We can find the time at which the projectile reaches its maximum height by setting y' = 0:
y' = 15.87 - 32t = 0
t = 0.496s
We can then find the maximum height by plugging this value of t into the equation for y:
= 15.87(0.496) - 16(0.496)²
= 4.95 feet
So the maximum height the projectile will reach is approximately 4.95 feet.
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is f(x)=0 in the range of the function f(x)=log(x)? if so, for what value of x?
Answers
The range of the function f(x) = log does not include f(x) = 0.
No, f(x) = 0 is not in the range of the function f(x) = log(x).
The range of the logarithmic function f(x) = log(x) is the set of all real numbers, except for negative numbers. In other words, the range of f(x) is (−∞, ∞) or { y ∈ R : y > 0 }.
Since the range of the logarithmic function does not include 0, it follows that f(x) = 0 is not in the range of f(x) = log(x). In fact, there is no real value of x for which log(x) equals zero, since log(x) is only zero when x equals 1, and the logarithmic function is not defined for x ≤ 0.
Therefore, f(x) = 0 is not in the range of the function f(x) = log(x).
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1. The current in a clothes washer is 15A when plugged into a 120V outlet. What is
the POWER of the washer? *
Answers
Answer:
Step-by-step explanation:
Power = Force × Velocity.
15*120=1800
To solve the problem we must know about resistance and power.
What is resistance?
Resistance is defined as the measurement that provides opposition to the current that travels through it.
It is given by the formula,
\(\rm Resistance = \dfrac{Voltage}{Current}\)
The power of the washer is 1,800 watts.
Given to us
Current, I = 15 A
Voltage, V = 120V
Resistance Provided by the WasherUsing the formula of resistance to find the resistance,
\(\rm Resistance = \dfrac{Voltage}{Current}\)
\(\rm Resistance = \dfrac{120\ V}{15\ A} = 8\ \Omega\)
Thus, the resistance for the circuit will be 8 ohms.
Power of the washer\(\rm Power = (Current)^2 \times Resistance\)
\(P = I^2 R\\\\P = (15)^2\times 8\\\\P = 1,800\ \rm watt\)
Hence, the power of the washer is 1,800 watts.
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Find the length of the arc subtended by a central angle of 2 radians in a circle whose radius is 30 ft.
Answers
Answer:
\(60\pi\)
Step-by-step explanation:
Use this arc length formula,
\(s = r \times x\)
where s is the arc length, r is the radius and x is the radians.
\(30 \times 2\pi = 60\pi\)
let f(x) = x3 2x2 7x − 11 and g(x) = 3f(x). which of the following describes g as a function of f and gives the correct rule?
Answers
The correct rule to describe the function g as a function of f and gives the correct rule is that g(x) = 3x³-6x²+21x-33.
This function is obtained by multiplying the function f(x) by a constant, which in this case is 3.
The correct rule to describe the function
g(x) = 3f(x)
in terms of the function f(x) = x³-2x²+7x-11 is that
g(x) = 3(x³-2x²+7x-11) and thus
g(x) = 3x³-6x²+21x-33.
In order to obtain the function g(x) from the given function f(x), it is necessary to multiply it by a constant, in this case 3.
Therefore, g(x) = 3f(x) means that g(x) is three times f(x).
Thus, we can obtain g(x) as follows:
g(x) = 3f(x) = 3(x³-2x²+7x-11) = 3x³-6x²+21x-33
Therefore, the correct rule to describe the function g as a function of f and gives the correct rule is that
g(x) = 3x³-6x²+21x-33.
This function is obtained by multiplying the function f(x) by a constant, which in this case is 3.
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Jorge is asked to build a box in the shape of a rectangular prism. The maximum girth of the box is 20 cm. What is the width of the box that would yield the maximum volume? What is the maximum volume given a girth of 20 cm? Use a graphing calculator to determine the width that provides the maximum volume, round to the nearest tenth.
The width of the box is __________cm
The maximum volume is __________cm3
Answers
Answer:
The width of the box is 6.7 cm
The maximum volume is 148.1 cm³
Step-by-step explanation:
The given parameters of the box Jorge is asked to build are;
The maximum girth of the box = 20 cm
The nature of the sides of the box = 2 square sides and 4 rectangular sides
The side length of square side of the box = w
The length of the rectangular side of the box = l
Therefore, we have;
The girth = 2·w + 2·l = 20 cm
∴ w + l = 20/2 = 10
w + l = 10
l = 10 - w
The volume of the box, V = Area of square side × Length of rectangular side
∴ V = w × w × l = w × w × (10 - w)
V = 10·w² - w³
At the maximum volume, we have;
dV/dw = d(10·w² - w³)/dw = 0
∴ d(10·w² - w³)/dw = 2×10·w - 3·w² = 0
2×10·w - 3·w² = 20·w - 3·w² = 0
20·w - 3·w² = 0 at the maximum volume
w·(20 - 3·w) = 0
∴ w = 0 or w = 20/3 = 6.\(\overline 6\)
Given that 6.\(\overline 6\) > 0, we have;
At the maximum volume, the width of the block, w = 6.\(\overline 6\) cm ≈ 6.7 cm
The maximum volume, \(V_{max}\), is therefore given when w = 6.\(\overline 6\) cm = 20/3 cm as follows;
V = 10·w² - w³
\(V_{max}\) = 10·(20/3)² - (20/3)³ = 4000/27 = 148.\(\overline {148}\)
The maximum volume, \(V_{max}\) = 148.\(\overline {148}\) cm³ ≈ 148.1 cm³
Using a graphing calculator, also, we have by finding the extremum of the function V = 10·w² - w³, the coordinate of the maximum point is (20/3, 4000/27)
The width of the box is;
6.7 cm
The maximum volume is;
148.1 cm³
Which of the following numbers is a factor of 63
Answers
The number that is a factor is 63 is C. 7.
What exactly is a factor?In mathematics, a factor of a number is a divisor of the given number that divides it completely without leaving any remainder.
A factor is a number that divides another number by itself and leaves no remainder. In other words, if multiplying two whole numbers yields a product, then the numbers being multiplied are factors of the product because the product is divisible by them.
A divisor of an integer n, also known as a factor of n, is an integer m that can be multiplied by another integer to produce n. In this case, n is also said to be a multiple of m.
In this case, the factors of 63 are 1, 3, 7, 9, 21 and 63.
The factor is 7.
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Complete question
Which of the following numbers is a factor of 63
2
5
7
11
PLS!! help just answer no download or links
Answers
Answer:
6.15 in squared
Step-by-step explanation:
Hope This Helps :b
Answer:
The radius is 6.15
Step-by-step explanation:
r=(3 V/4π)⅓=(3* 972/4·π)⅓≈6.14506
It's about equal to 6.15 :)
This equation shows how the total number of quizzes Angie has ever taken in high school depends on the number of weeks she has attended school this quarter.
q = w + 3
The variable w represents the number of weeks she has attended school this quarter, and the variable q represents the total number of quizzes she has ever taken in high school. How many weeks of school will Angie have to attend this quarter before she will have taken a total of 12 quizzes?
Answers
Answer:
9 weeks
Step-by-step explanation:
Knowing that the "q" is the total number of quizzes, you can set the equation equal to 12, and solve for w.
12 = w + 3 Subtract 3 both sides
9 = w
Will Mark brainlest help please please pease
Answers
Answer:
6
Step-by-step explanation:
very easy.
this simply means what is the value of x, so that the result of the function is 7.
remember, the domain is the interval of valid values for x.
and the range is the interval of valid values of y (or functional results).
so,
7 = (3x - 4)/2
14 = 3x - 4
18 = 3x
x = 6
so, for x = 6 the function delivers 7 as result.
Create two Polynomials that when you subtract them you are left with 3x^2-4x+2
Answers
Answer:
\(=5x^{2} +2x-4-(2x^{2} +6x-6)\\=5x^{2} +2x-4-2x^{2} -6x+6\\=5x^{2} -2x^{2} +2x-6x-4+6\\=3x^{2} -4x+2\)
Step-by-step explanation:
Hence,5x²+2x-4 and 2x²+6x-6 are the two polynomials.
To create them:
Let,5x²+2x-4 be the first polynomial and x be the another
Now, we have,
→5x²+2x-4-x=3x²-4x+2
→5x²+2x-4-(3x²-4x+2)=x
→5x²+2x-4-3x²+4x-2=x
→x=3x²-4x+2
X 2 4 6 8
Y 10 20 30 40
the table shows a proportional relationship between x and y. what is the unit rate of y per x
A 1
B 2
C 4
D 5
Answers
Answer:
The correct answer is D, 5
Step-by-step explanation:
If the table represents a proportional relationship between our values x and y, we can find our function.
From our constants in x, the increase is a product of x by 5 to result in y's value. Therefore, the constant unit rate of y per x is 5.
MARKING BRAINLIEST PLEASE HELP. Louie's Lemonade is available in 2.5 gallon jugs. A Serving is 8 fl.oz. How many servings are in one jug of lemonade? 1 cup = 8 oz. 1 gallon = 16 cups
Answers
1 cup= 8 oz
8oz= 1 serving size
40 servings
Hopes this helps!
Which ordered pair is a solution to the following linear system? y = x y = –x
A (0, 0)
B (0, 1)
C (1, 1)
D (1, 0)
Answers
Answer:
A (0, 0).
Step-by-step explanation:
y = x
y = -x
Therefore x = -x.
x + x = 0
x = 0
and y = x = 0.
Answer:
Which ordered pair is a solution to the following linear system?
y = x
y = –x
(1, 1)
(0, 1)
(1, 0)
Correct Answer
(0, 0)
Step-by-step explanation:
just did this on a test.
The ratio of two numbers is 7:2. If the greater number is 28, find the smaller one.
Answers
Answer:
Answer:
8
Step-by-step explanation:
7 : 2
We know the larger number is 28
28 : x
We multiply 7 * 4 = 28, so multiply the first ratio by 4
7*4 : 2*4
28 : 8
The second number is 8
Please give brainliest
Have a nice day!
Lisa Has $ 7.80 to spend on some tomatoes and loaf of bread. Tomatoes cost $1.20 per pound, and a loaf of bread costs $1.80.
The inequality 1.20x + 1.80 ≤ 7.80 models this situation, where x is the number of pounds of tomatoes
solve the inequality how many piunds of tomatoes can lisa buy?
Answers
Find the equation of a circle with the center at ( 0, 0 ) and a radius of 1.
Answers
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the given details
\(\begin{gathered} center:(0,0) \\ radius:1 \end{gathered}\)STEP 2: Write the formula for equation of a circle
\(\begin{gathered} (x-h)^2+(y-k)^2=r^2 \\ Where\text{ }(h,k)\text{ is the center} \\ r\text{ is the radius} \end{gathered}\)STEP 3: Find the equation of the circle
\(\begin{gathered} By\text{ substitution,} \\ (x-0)^2+(y-0)^2=1^2 \\ x^2+y^2=1^2 \\ x^2+y^2=1 \end{gathered}\)Hence, the equation of the circle is given as:
\(x^2+y^2=1^\)In a clinical trial to test a vaccine's effectiveness, the researchers report a slight reduction in the percentage of those catching the virus in comparison to those in a control group, and publish a p-value of 0.23. What is the best interpretation of this value
Answers
A p-value of 0.23 in the context of a clinical trial testing a vaccine's effectiveness suggests that the observed reduction in the percentage of individuals catching the virus, when comparing the vaccine group to the control group, is not statistically significant at conventional levels of significance (such as 0.05 or 0.01).
The p-value represents the probability of obtaining the observed data, or data more extreme, under the assumption that the null hypothesis is true.
In this case, the null hypothesis would typically state that there is no difference in the percentage of virus cases between the vaccine and control groups. A p-value of 0.23 indicates that there is a 23% chance of observing the reported reduction in cases or an even more substantial reduction if the null hypothesis were true.
Therefore, based solely on the p-value of 0.23, the best interpretation is that the observed reduction in virus cases could plausibly be due to random variation or chance, rather than a true effect of the vaccine. However, it is important to consider other factors, such as the study design, sample size, and clinical significance of the observed reduction, before drawing final conclusions about the vaccine's effectiveness.
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