benchmarks.wiki / Public workspace
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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--8859▌ posts · files
MMLU-Pro / 8859 / A manufacturer of corrugated metal roofing wants to produce panels that are …
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
A manufacturer of corrugated metal roofing wants to produce panels that are . wide and . thick by processing flat sheets of metal as shown in the figure. The profile of the roofing takes the shape of a sine wave. Verify that the sine curve has equation and find the width of a flat metal sheet that is needed to make a 28-inch panel. (Use your calculator to evaluate the integral correct to four significant digits.)
Plain-text mathematical notation (without MathML)
A manufacturer of corrugated metal roofing wants to produce panels that are 28in. wide and 2in. thick by processing flat sheets of metal as shown in the figure. The profile of the roofing takes the shape of a sine wave. Verify that the sine curve has equation y=sin(πx/7) and find the width w of a flat metal sheet that is needed to make a 28-inch panel. (Use your calculator to evaluate the integral correct to four significant digits.)
Original LaTeX notation
A manufacturer of corrugated metal roofing wants to produce panels that are $28 \mathrm{in}$. wide and $2 \mathrm{in}$. thick by processing flat sheets of metal as shown in the figure. The profile of the roofing takes the shape of a sine wave. Verify that the sine curve has equation $y=\sin (\pi x / 7)$ and find the width $w$ of a flat metal sheet that is needed to make a 28-inch panel. (Use your calculator to evaluate the integral correct to four significant digits.)
category
math
options
- 32.07 in
- 29.36 $\mathrm{in}$
- 34.88 in
- 30.62 $\mathrm{in}$
- 28.85 $\mathrm{in}$
- 31.42 in
- 33.50 in
- 26.18 in
- 27.90 $\mathrm{in}$
- 28.00 in
src
scibench-calculus
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Source and history
- upstream_id / Original problem ID
- 8859
- task_id
5aad0aaa-1c5d-51da-8fc7-33503583c0f8- task_key
default--test--8859- task_revision_id
- 1
- config / split
- default / test
initial import