Solve the following problems COMPLETELY. Provide illustrations for each problem. 1. A gutter having triangular cross-section is to be made by bending a strip of tin in the middle. Findthe angle between the sides when the carrying capacity is a maximum.

According to the given information, it is required to find the angle between the sides that has…

Answered: 1. A gutter having tríangular…

1. A gutter having tríangular cross-section is to be made by bending a strip of tin in the middle. Find the angle between the sides when the carying capacity is a maximum.

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter3: Radian Measure

Section3.4: Arc Length And Area Of A Sector

Problem 59PS: Cycling The Campagnolo Hyperon Ultra Two carbon wheel, which has a diameter of 700 millimeters, has...

See similar textbooks

Related questions

Q: An obtuse triangle with area 12 square centimeters has two sides of length 4 and 10 cm. Determine…

Q: Consider an isosceles triangle whose leg measures 2 cm. Let be the vertex angle (the angle between…

Q: 7. Construct a right triangle with legs of lengths a and b.

A: Topic:- right angle triangle A triangle in which one of the measures of the angles is 90 degrees is…

Q: A__________ _____________is a positive angle whose vertex is at the center of a circle.

A: A __________ _____________ is a positive angle whose vertex is at the center of a circle.

Q: 4. Not a possible triangle Short Medium Type Long length length length Acute Obtuse Right Not a…

Q: The Converse of the Corresponding Angles Theorem states that if two coplanar lines are cut by a…

A: The theorem of converse of correspondingangles : If two parallel lines are cut by a transversal,…

Q: 9. Prove that an exterior angle of a triangle is always greater than the sum of the two opposite…

Q: Part B Which best describes the relationship between polygon GHJK and polygon G'H'J'K'?

A: i have provided solution in step2.

Q: If DE 4w - 90 and DG = w, find the value of w in parallelogram EFGH. %3D W = Submit

A: Topic:- geometry

Q: Prove that if the Fermat-Torricelli with the orthocenter, then ABC is equilateral. point of an acute…

A: To prove that if the fermat-torricelli point of an acute triangle ABC coincides with the…

Q: 8. Compute the length of the arc that subtends angle B If Its measure Is 110°.

Q: This is a right triangle with dimensions in centimeters. If θ = 41∘, what is the length of x to the…

A: Given: A right angle triangle with the length of hypotenuse 33 cm and θ=41°. Aim: To find the…

Q: In obtuse-angled triangles the square on the side subtending the obtuse angle is greater than the…

Q: A_______ __________ is a positive angle whose vertex is at thecenter of a circle

A: It is given that, A_______ __________ is a positive angle whose vertex is at thecenter of a circle.

Q: What is the maximum number of right angles a triangle can have in (a) Euclidean geometry? (b)…

A: Given that

Q: 23. What is the length of an arc having a radius of curvature of 12 and an angle measure of 226…

A: Given Radius = 12 Angle = 226 degree

Q: What is the distance of a plane from the center of a sphere, if the radius of the sphere is 10 cm…

Q: A cone has a radius of 10 cm and a height of 24 cm. What is the slant height?

Q: 2. A semicircle will be drawn with the unknown side of a triangular lot as its diameter. Calculate…

A: Perimeter of the above image = ?

Q: Sketch the torus that results when the given circle of radius length 1 unit is revolved about the…

A: Given: Radius of the circle is 1 unit. Distance between horizontal and center is 4 units. A torus…

Q: Suppose that AB is the diameter of a circle with çenter O and that C is a point on one of the two…

A: given: AB is the diameter of the circle with center O and that C is a point on one of the two arcs…

Q: Find the largest conical tent that can be constructed having a given slant height.

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: Here is a right square pyramid. 4 15 16 What is the measurement of the slant height I of the…

A: Explanation and solution is given below....

Q: Consider the non-right triangle below. B у ст ZCAB A х ст Suppose that m/CAB= 61°, and that x = 35…

A: Given triangle

Q: It is possible for two tangents to form an inscribed angle in a circle. O True O False

Q: A factory is to be built on a lot measuring 102 ft by 136 ft. A local building code specifies that a…

A: Let the lawn will be of x feet in width. so the length of the factory= 136-2x and width=102-2x

Q: a velor egualion, paiamet sie equation } dymmetriu oguation containing (4,6, c) } paalles to direj.…

Q: A circle is inscribed in a polygon if each side of the polygon is tangent to the circle. true or…

A: If all the vertices of a polygon are on the circumference of a circle, the polygon is inscribed in a…

Q: 8. Classify the following triangle based on its shape. C isosceles equilateral scalene right A,

A: There is right angle between sides A and C.

Q: Af noon, ship A is 20 kilometers north of Ship B. Ship A is fraveling south at 50 kilometers per…

A: Ships at Initial positions = A and B Positions of ships after time t =C and D Then AC=50t (in Km)…

Q: Suppose point Y is the bisector of segment XZ. If XY = 5.6 cm, what is the length of XZ? If needed…

Q: A point moves outside an equilateral triangle of side 5 cm such that its distance from the triangle…

A: Given: Equilateral triangle of side 5 cm such that the point moves at a distance of…

Q: suppose line x does not intersect the circle centered at O having radius (r). From O, drop a…

A: Given: (Orange color Or Black color) OB is line perpendicular to X. OB intersecting circle at A.…

Q: 1. The diagram of the kickball field on the left is a rhombus. What is the perimeter of the field?

Q: A factory is to be built on a lot measuring 240 ft by 320 ft. A local building code specifies that a…

Q: Your friend claims that the SAS Congruence Theorem (Theorem 5.5) will apply to a triangle and its…

A: It is known that the triangle that is obtained after translated, reflected, rotated, and dilated…

Q: 3. TB and TC are tangents to circle O. a. If LTIS 35°, find LCOB, BC and CDB b. If CDB is twice BC,…

A: 1. angles between radius and tangents is a right angle. 2. Arc angle property The…

Q: A factory is to be built on a lot measuring 270 ft by 360 ft. A local building code specifies that a…

A: According to guidelines we can solve only first question.Upload remaining again.

Q: A factory is to be built on a lot measuring 270 ft by 360 ft. A local building code specifies that a…

A: The formula for the area of rectangle is length x width.

Q: what is the maximum interior angle possible for a regular p olygon?

Q: Theorem 78 states that if the radius of a circle is r, its area is πr2. true or false

A: In the statement, it is asked if the area of circle is ∏r2

Q: A factory is to be built on a lot measuring 300 ft by 400 ft. A local building code specifies that a…

Q: prove that if A is a point on the perpendicular bisector of line segment B-C then A is the same…

A: Prove that if A is a point on the perpendicular bisector of line segment B-C then A is the same…

Q: c) Two poles, one 6 m tall and one 15 m tall, are 20 m apart. Alength of wire is attached to the top…

Q: In the triangles PQR and STU, ZRPQ = 2 × ZUST, ZPRQ = 2 × ZSUT and ZRQP = = x LUTS. %3D %3D How…

A: Given that in triangle PQR and STU, ∠RPQ=2×∠UST, (1)∠PRQ=2×∠SUT,…

Q: Show that if a line is drawn from the vertex of an isosceles triangle that bisects the base of the…

A: Let ABC is an isosceles triangle such that AB=AC. Let AD is the bisector of angle A. To prove BD=BC…

Q: (13) The building code requires that the minimum angle of a roof (measured from the horizontal) is…

Question

Solve the following problems COMPLETELY. Provide illustrations for each problem.

1. A gutter having triangular cross-section is to be made by bending a strip of tin in the middle. Find
the angle between the sides when the carrying capacity is a maximum.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Paths and Circuits$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

a For the through in the shape of half-cylinder, find the volume of water it will hold Use 3.14 and disregard the thickness b If the trough is to be painted inside and out, find the number of square feet to be painted Use 3.14.
A goat is tethered to a barn by a 12-ft chain. If the chain is connected to the barn at a point 6 ft from one end of the barn, what is the area of the pasture that the goat is able to graze?
The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch for the lateral surface and 2 cents per square inch for the bases. What is the total cost of constructing the box?
A rectangular solid has length L=12.6 mm, width W=23.8 mm, and height H=32.5 mm. Find the length of a diagonal AB from the upper left rear vertex to the lower right front vertex. Round the answer to 1 decimal place.
A storage shed is in the shape of a trapezoidal prism. Each trapezoid represents one of its bases. With dimensions as shown, what is the storage capacity volume of its interior?
Cycling The Campagnolo Hyperon Ultra Two carbon wheel, which has a diameter of 700 millimeters, has 22 spokes evenly distributed around the rim of the wheel. What is the length of the rim subtended by adjacent pairs of spokes (Figure 15)?