State a possible definition for "small triangle" and comment on why such a definition eliminates the counterexamples allowing SAS to be true on the sphere.
In: Math
Prove that any isometry maps a dinosaur to a dinosaur.
In: Math
George wants to use square pavers that are 6 inches on each side to completely surround his flower garden. The garden is 12 feet long and 3 feet wide. How many pavers should George buy ? show work
In: Math
Use the Law of Cosines to solve the triangle. (Let a = 11.9 ft and c = 12.1 ft. Round your answer for b to two decimal places. Round your answers for A and C to the nearest minute.)
one angle is 50 degrees, 30'
In: Math
A major coffee supplier has warehouses in Seattle and San Jose. The coffee supplier receives orders from coffee retailers in Salt Lake City and Reno. The retailer in Salt Lake City needs 550 pounds of coffee, and the retailer in Reno needs 300 pounds of coffee. The Seattle warehouse has 800 pounds available, and the warehouse in San Jose has 650 pounds available. The cost of shipping from Seattle to Salt Lake City is $2.50 per pound, from Seattle to Reno $ 3 per pound, from San Jose to Salt Lake City $4 per pound, and from San Jose to Reno $2 per pound. Find the number of pounds to be shipped from each warehouse to each retailer to minimize the cost.
In: Math
Graph the line with y-intercept ?5 and slope ?2.
In: Math
use the construction of The circumcircle to construct Euler's line. Describle your construction in detail
In: Math
In: Math
For triangle ABC, the lines:
- through A, parallel to BC;
- through B, parallel to AC;
- through C, parallel to AB
intersect to form a triangle. Prove that the triangle is similar to triangle ABC.
In: Math
Find the equations of the line in the half-plane model of the hyperbolic plane that passes through the points (a) (1,1) and (1,6). (b) (2, 2) and (4,4)
In: Math
type a report illustrating how geometry is used in industry. Be sure to include how the values of community, responsible stewardship and excellence affect the industry you researched.,
In: Math
Goldi s Pizza palace is known throught the city .The small baby Bear pizza has a 6-inch radius and sells for $9.75.The savory medium Mama Bear pizza sells for $12.00 and has an 8-inch radius.The large papa bear pizza is hefty 20-inchs in diameter and sells for $16.50.The edge is stuffed with cheese,and it is the best part of Goldi s pizza.What size has the most pizza edge per dollar?what is the circumference of this pizza?
In: Math
In the following list of subsets of R3 , select the ones that are subspaces of R3 (multiple answers).
(As usual, incorrect answers will earn you negative points)
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Entire R3 |
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{ (x+y, x-y, y ) | x,y are real numbers } |
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{ (x,y,z) | x,y,z are all nonnegative real numbers } |
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{ ( x, -x, 2x ) | x is a real number } |
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{ (1,1,1) } |
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{ (x,y,3) | x,y are real numbers } |
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{ (0,0,0) } |
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{ (x+1, y+1, z+1) | x,y,z are real numbers } |
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{ (x,y,0) | x,y are real numbers } |
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{ (x,y,z) | x + y + z = 1 } |
In: Math
Prove: If [P(H)] holds, then all Saccheri quadrilaterals have accute top angles.
In: Math