Kelson sporting equipment, inc., makes two different types of baseball gloves: a regular model and a catcher"s model. the firm has 900 hours of production time available in its cutting and sewing department, 300 hours available in its finishing department, and 100 hours available in its packaging and shipping department. the production time requirements and the profit contribution per glove are given in the following table: production time (hours) model cutting and sewing finishing packaging and shipping profit/glove regular model catcher`s model letting r = number of regular gloves c = number of catcher's mitts leads to the following formulation: max s. t. ure: the solution for the kelson sporting equipment problem optimal objective value = 3700. variable value reduced cost r 500. 0. c 150. 0. constraint slack/surplus dual value 1 175. 0. 2 0. 3. 3 0. 28. variable objective coefficient allowable increase allowable decrease r 5. 7. 1. c 8. 2. 4.7 constraint rhs value allowable increase allowable decrease 1 900. infinite 175. 2 300. 100. 166.7 3 100. 35. 25.

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

add the numbers under frequency to find the total number:

5 + 8 +7 + 4 + 0 +1 = 25

the answer is 25.

answer: they are supplementary angles

step-by-step explanation: 161+19=180. supplementary angles equal 180 degrees