Mathematics College

If the diameter of pulley A is 5.74 cm and the diameter of pulley B is 8.61 cm, what is the pulley ratio? please explain the steps.​

Answers

Answer 1

The pulley ratio is approximately 0.6667, calculated by dividing the Diameter of pulley A (5.74 cm) by the diameter of pulley B (8.61 cm).

The pulley ratio, we need to compare the diameters of the two pulleys. The pulley ratio is the ratio of the diameters of pulley A to pulley B.

Given that the diameter of pulley A is 5.74 cm and the diameter of pulley B is 8.61 cm, we can calculate the pulley ratio using the following steps:

Step 1: Write down the diameters of pulley A and pulley B.

  Diameter of pulley A = 5.74 cm

  Diameter of pulley B = 8.61 cm

Step 2: Calculate the pulley ratio.

  Pulley ratio = Diameter of pulley A / Diameter of pulley B

Substituting the given values, we have:

  Pulley ratio = 5.74 cm / 8.61 cm

Step 3: Simplify the ratio if possible.

  In this case, the ratio cannot be simplified further since the diameters do not have any common factors other than 1.

Step 4: Calculate the final result.

  Pulley ratio = 5.74 cm / 8.61 cm ≈ 0.6667 (rounded to four decimal places)

Therefore, the pulley ratio is approximately 0.6667.

When discussing technical concepts and calculations, it is important to maintain academic integrity and avoid plagiarism. Plagiarism involves using someone else's work or ideas without proper attribution. To ensure originality, it is essential to express the information in your own words and provide accurate calculations based on the given data.

In conclusion, the pulley ratio is approximately 0.6667, calculated by dividing the diameter of pulley A (5.74 cm) by the diameter of pulley B (8.61 cm).

To know more about Diameter .

https://brainly.com/question/30460318

#SPJ8

Related Questions

Solve the equation log(base 2)(x) + log(base 4)(x+1) = 3.​

Answers

We can use the logarithmic identity log_a(b) + log_a(c) = log_a(bc) to simplify the left side of the equation:

log_2(x) + log_4(x+1) = log_2(x) + log_2((x+1)^(1/2))

Using the rule log_a(b^c) = c*log_a(b), we can simplify further:

log_2(x) + log_2((x+1)^(1/2)) = log_2(x(x+1)^(1/2))

Now we can rewrite the equation as:

log_2(x(x+1)^(1/2)) = 3

Using the rule log_a(b^c) = c*log_a(b), we can rewrite this as:

x(x+1)^(1/2) = 2^3

Squaring both sides, we get:

x^2 + x - 8 = 0

This is a quadratic equation that can be solved using the quadratic formula:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 1, b = 1, and c = -8. Plugging in these values, we get:

x = (-1 ± sqrt(1^2 - 4(1)(-8))) / 2(1)

x = (-1 ± sqrt(33)) / 2

x ≈ -2.54 or x ≈ 3.54

However, we must check our solutions to make sure they are valid. Plugging in x = -2.54 to the original equation results in an invalid logarithm, so this solution is extraneous. Plugging in x = 3.54 yields:

log_2(3.54) + log_4(4.54) = 3

0.847 + 0.847 = 3

So x = 3.54 is the valid solution to the equation.

Find the value of each variable

Answers

The value of x is calculated as 30.

The value of y is calculated as 28.

What is the measure of angle x and y?

The measure of x and y is calculated by applying the following circle theorem as follows;

If line XZ is the diameter of the circle, then angle XYZ will be equal to 90 degrees.

The value of x is calculated as;

3x = 90

x = 90 / 3

x = 30

The value of y is calculated as follows;

2y + 34 = 90 (complementary angles sum up to 90 degrees)

2y = 56

y = 56/2

y = 28

Learn more about complementary angles here: https://brainly.com/question/16281260

#SPJ1

Hayden bikes 1.8 miles in 6 minutes. His friend Jordan bikes 3.2 miles in 8 minutes. Part A: Who bikes at a faster speed? Explain your answer.

Answers

Jordan bikes at a Faster speed than Hayden because he covers a greater distance in the same amount of time.

To determine who bikes at a faster speed, we can compare the rates at which Hayden and Jordan cover distance over a given time period.

Hayden bikes 1.8 miles in 6 minutes, which can be expressed as a rate of 1.8 miles / 6 minutes = 0.3 miles per minute.

Jordan bikes 3.2 miles in 8 minutes, which can be expressed as a rate of 3.2 miles / 8 minutes = 0.4 miles per minute.

Comparing the two rates, we can see that Jordan bikes at a faster speed. Jordan covers a greater distance (3.2 miles) in the same amount of time (8 minutes) compared to Hayden, who only covers 1.8 miles in 6 minutes. Therefore, Jordan's rate of 0.4 miles per minute is greater than Hayden's rate of 0.3 miles per minute, indicating that Jordan bikes at a faster speed.

In summary, Jordan bikes at a faster speed than Hayden because he covers a greater distance in the same amount of time.

For more questions on  Faster speed

https://brainly.com/question/19595131

#SPJ8

The measure of angle 1 is 130⁰.

Answers

The measure of angle 1 is given as 130 degrees.the measure of angle 1 is 130 degrees provides specific information about the amount of rotation between the two rays or lines

An angle is a geometric figure formed by two rays or lines that share a common endpoint called the vertex. The measure of an angle is determined by the amount of rotation between the two rays or lines.

In this case, angle 1 has a measure of 130 degrees. This means that if we were to rotate one of the rays or lines forming the angle by 130 degrees, it would coincide with the other ray or line.

The degree is a unit of measurement for angles, and it is based on dividing a full circle into 360 equal parts. Each part, or degree, corresponds to a specific amount of rotation. In this case, angle 1 is measured to be 130 degrees, which is less than half of a full circle.

When interpreting the measure of angle 1, it's important to consider the context in which it is being used. Angles can be found in various settings, such as geometry, trigonometry, or real-world applications. Depending on the context, the measure of an angle can have different interpretations and implications.

In geometry, angles are used to describe the relationships between lines, shapes, and spatial configurations. They are often classified based on their measures, such as acute (less than 90 degrees), right (exactly 90 degrees), obtuse (greater than 90 degrees but less than 180 degrees), or straight (exactly 180 degrees).

In trigonometry, angles are used to define the ratios of sides in right triangles and to study periodic functions such as sine and cosine.

In real-world applications, angles can be used to measure directions, inclinations, or orientations of objects or phenomena.

Therefore, knowing that the measure of angle 1 is 130 degrees provides specific information about the amount of rotation between the two rays or lines

For more questions on amount .

https://brainly.com/question/29029046

#SPJ8

Other Questions
20. Determine the interest rate for a billing period with 31 days for a loan that charges an APR of 9%. in the context of the passage as a whole, the authors discussion of eddys study in the sixth and seventh paragraphs primarily serves to Increase uncertainty resulting from the global financial crisis _____ the required return on investment in equity According to an article, 12.4% of Internet stocks that entered the market in 1999 ended up trading below their initial offering prices. If you were an investor who purchased four Internet stocks at their initial offering prices, what was the probability that at least three of them would end up trading at or above their initial offering price? (Round your answer to four decimal places.)P(X 3) =____ as seen from above in the image, a string is wrapped around the edge of a uniform cylinder of radius r = 42 cm and mass m = 5 kg which is initially resting motionless on a frictionless table Perform one step of the gradient descent method w/ the exactline search to minimize the function h(x,y)= 2cos(x^2+y^2). Initialguess is (1,1) The forecast for 2019 by the linear regression method is 87.3723 83.7387 89.0824 84.9406forecasting regression File Edit View Insert Format Tools Data Window T ABC ABC B Calibri 11 fx = A C E *** You want to estimate, given 95% confidence, the population proportion of adults who think they should be saving more than they currently are. Your estimate must be accurate within 5% of the population proportion. a.) Find the minimum sample needed to attain this level of confidence.340 367 385375 at full power, how long would it take for the car to accelerate from 0 to 56.0 mph ? neglect friction and air resistance. Which of the following items would appear in the financing activities section of the statement of cash flows? Multiple Choice a.Cash outflow for the purchase of land. b.Cash inflow from sales revenue c.Cash inflow from issuance of common stock d.Cash outlow for the payment of accounts payable Your boss is considering a 4-year investment project. 20 If the project is accepted, it would require an immediate spending of $545 to buy all necessary production equipment. This equipment would be sold at the end of the project and bring your company estimated $196 in sale proceeds after taxes (or after-tax salvage value) Your boss's consulting team estimated that the annual after-tax profits (or operating cash flows) would equal $163. The team also recommends immediately setting aside $57 in cash to cover any unforeseen expenses. 110 The required annual rate of return is 9.2%. Calculate the Net Present Value of this proposed investment project. If your answer is negative, don't forget the minus sign! Increase decimal places for any intermediate calculations, from the default 2 to 6 or higher. Only round your final answer to TWO decimal places. For example, 1,000.23 or -1,000.23 Do NOT use "$" in your answer. An epidemiologist is interested in estimating the incidence of appendicitis in the state of Texas. People who had appendicitis had their appendix removed; therefore, they are not at risk to have appendicitis in the future. If the PI incorrectly failed to exclude people who had previously had appendicitis from the study population, how would the calculated incidence rate compare to the true incidence rate (e.g., would the calculated incidence rate be higher or lower than the true incidence rate)? Please explain your answer 1-2 full sentences. For women aged 18-24, systolic blood pressures (in mm Hg) are normally distributed with a mean of 114.8 and a standard deviation of 13.1 (based on data from the National Health Survey). Hypertension is commonly defined as a systolic blood pressure above 140. If a woman between the ages of 18 and 24 is randomly selected, find the probability that her systolic blood pressure is greater than 140. EXERCISE 6: a/ Find Laplace transform of : f(t) = cos 5t + et +e-at sh5t - -9 b/ Find Inverse Laplace transform of: F(s)= 1+2, +34 lease answer asap, will thumbs up. When a per unit tax is imposed on the sale of a product of a uniform or single price monopolist with a linear downward sloping demand curve and a MC that is upward or downward sloping; the new eguilibrium price will be than the old equilibrium price and the new equilibrium quantity will be -than the old equilibrium quantity O higher, higher O higher, lower. O None of the other alternatives are correct O lower,higher if it has been determined that the probability of an earthquake occurring on a certain day in a certain area is 0.04, what are the odds in favor of an earthquake? uppose you use simple random sampling to select and measure 27 watermelons' weights, and find they have a mean weight of 60 ounces. Assume the population standard deviation is 13.7 ounces. Based on this, construct a 99% confidence interval for the true population mean watermelon weight. Give your answers as decimals, to two places Rank the following compounds in order from most reduced to most oxidized sulfur. Most reduced O SO42- O NaSO3 O S8 O Na2S draw the major organic product (other than ethanol) formed in the reactio A mass of consumers is uniformly distributed along the interval [0, 1]. Two firms, A and B, are located at points 0 and 1 respectively. We denote by p; the price of firm i A, B. A consumer located at point x [0, 1] obtains utility U(x) = u - PA - tx if he consumes from firm A, and UB(x)=u-PB-t(1-x) if he consumes from firm B. In the following, we assume that the gross utility u is sufficiently high, so that the market will be covered and all consumers will get positive utility in equilibrium. Both firms have a cost function equal to T;(q) = (1+X)qi, where you should substitute X for the last number of your student ID number.a- Find the demand function for both firms.b- Assume firms set their prices simultaneously. Solve for the Nash equilibrium prices, and compute the equilibrium profits.c- Now, assume a Stackelberg timing, where firm A is the leader. Explain briefly why we should not use the Nash equilibrium concept to solve this game, and solve for the equilibrium prices and profits.