A water trough is 800 cm long and a cross-section has the shape of an isosceles...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
A water trough is 800 cm long and a cross-section has the shape of an isosceles trapezoid that is 40 cm wide at the bottom, 90 cm wide at the top and has a height of 50 cm. If the trough is being filled with water at the rate of 18000 cm³/min, how fast (in cm/min) is the water level rising when the water is 30 cm deep? Recall that the volume of a trapezoidal prism is given by the formula V = (b₁ + b₂)hl, where b₁ and be are the lengths of the two bases of the cross- sectional trapezoid, h is the height of the cross-sectional trapezoid, and is the length of the prism. Note: Round to the nearest thousandth. A water trough is 800 cm long and a cross-section has the shape of an isosceles trapezoid that is 40 cm wide at the bottom, 90 cm wide at the top and has a height of 50 cm. If the trough is being filled with water at the rate of 18000 cm³/min, how fast (in cm/min) is the water level rising when the water is 30 cm deep? Recall that the volume of a trapezoidal prism is given by the formula V = (b₁ + b₂)hl, where b₁ and be are the lengths of the two bases of the cross- sectional trapezoid, h is the height of the cross-sectional trapezoid, and is the length of the prism. Note: Round to the nearest thousandth.
Expert Answer:
Answer rating: 100% (QA)
Solution Area of trapezoid is A 1 h ab Giuen a 40 cm V dv dt du dt So l 800 cm dv dt 3... View the full answer
Related Book For
Posted Date:
Students also viewed these accounting questions
-
A detonation pond has the shape of an inverted truncated pyramid, it has a rectangular bottom of dimension 120 ( 80 ft, a maximum depth of 5 ft, and uniform side slopes of 3 : 1 (horizontal :...
-
A racetrack has the shape of an inverted cone, as the drawing shows. On this surface the cars race in circles that are parallel to the ground. For a speed of 34.0 m/s, at what value of the distance d...
-
An 800 g steel plate has the shape of the isosceles triangle shown in FIGURE P12.50. What are the x- and y-coordinates of the center of mass? y 20 cm 30 cm FIGURE P12.50
-
Two slot machines offer to double your money 3 times out of 5. Machine A takes $10 bets and Machine B takes $100 bets on each occasion. A risk-averse investor prefers to bet on A) Machine A B)...
-
Ivan Klumb has just rented space in a strip mall. In this space, he will open a photography studio, to be called "Picture This!" A friend has advised Ivan to set up a double-entry set of accounting...
-
Is the following statement true or false? Explain your answer. Abundant natural resources are a necessary condition for economic growth.
-
Determine the bending strain energy in the beam. \(E I\) is constant. T 22
-
Determining the break-even point and preparing a contribution margin income statement Inman Manufacturing Company makes a product that it sells for $60 per unit. The company incurs variable...
-
d) Describe how we could use a common ("by hand") device to simulate the children's selection process (if children were "just guessing" or "had no preference" on each trial - recall that there are...
-
Consider a sphere in a hypersonic flow. Using newtonian theory, show that the drag coefficient based on cross-sectional area is equal to 1 .
-
1 Pen Company acquired 70% of the outstanding common stock of Bal Corporation on January 1, 2016 for P1,780,000 cash. The statement of financial position of the Pen and Bal immediately after the...
-
CoCo's Bakery would like to revamp its production process. Currently it takes 15 minutes to bake a loaf of bread, in order to produce 5,000 units of bread per hour (measured in number of units that...
-
Assuming you are not using the Loan Manager to record your loan payments, what is the best way to record loan payments that include both interest and principal?
-
On January 1, Year 1, Twisted Pretzel, Inc., purchased equipment for $32,000 with an estimated useful life of 8 years and $0 salvage value. On January 1, Year 5, Twisted Pretzel, sold the equipment...
-
Correct the information needed and fill the information missing using the table format bellow Determine the cost of goods sold and the cost of ending inventory. The company uses the perpetual...
-
Traditional costing methods are still widely used today and work well in many situations, where total costs are calculated by adding variable costs to fixed costs. However, there are times when this...
-
What is Green Transformation and Digital Transformation? Explain them separately and briefly. How "green and digital transformation" will affect / change companies competitive strategies.
-
White Bolder Investments (WBI) You are an intern working for WBI, a large investment advisory services in Sydney. Among other regular customers, WBI has been providing advisory services for Jumbo...
-
Evaluate the limit, if it exists. x2-6x + 5 lim 5 5x 6 lim lim
-
If a sphere of radius is sliced by a plane whose distance from the center of the sphere is d, then the sphere is divided into two pieces called segments of one base. The corresponding surfaces are...
-
Find the domain of the function. F(x) = x + 4 / x2 - 9
-
Find each probability using the standard normal distribution. (a) \(P(z>-1.68)\) (b) \(P(z <2.23)\) (c) \(P(-0.47
-
Are you more likely to randomly select one person with an IQ score greater than 105 or are you more likely to randomly select a sample of 15 people with a mean IQ score greater than 105? Explain. In...
-
What is the lowest score that would still place a person in the top \(5 \%\) of the scores? In a standardized IQ test, scores are normally distributed, with a mean score of 100 and a standardized...
Study smarter with the SolutionInn App