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The vertices of a triangle are R (3,0), S (-1,3), and T (0, -2). a) Classify the triangle by side length and b) Find the perimeter of the triangle to the nearest tenth.


To excavate for a basement, 7m by 12m, a man had the earth removed to a depth

of 3m. How much did this cost at Php 100 per cubic meter of earth removed?


A pottery manufacturer has an order to manufacture 5,000 hanging vases each to hold 1/6 pt of water when full. The


vases are designed so as to fit int the corner of the room. The faces of each vase are triangular in shape and intersect to


form a pointed bottom. the area of polygon cut out of the plane of the base by lateral faces is 3 sq. in. The height of the


vase is 8 in. Compute the weight of pottery required if pottery weighs 130 lb. per cu.ft.



Find the perimeter of an isosceles triangle whose base is 40 cm and whose base angle is 70o


. Differentiate 10x2 with respect to x.

Ray and Heather are upgrading the storage shed in their backyard. The existing shed has


the shape of a rectangular prism with dimensions 1 m by 2 m by 4 m. By what amount


should they increase each dimension so that the new shed is 9 times the volume of the


original shed? Provide a full algebraic solution.


a triangle has sides that measures 15 cm, 20 cm, and 25 cm. find the exact volume of the solid of revolution formed when the triangle is revolved about the side of length 25 cm.


A plan of a house is drawn to a scale of 1:50. The lounge is 8cm long and 6.8cm wide. Find in centimeters, its length and it's width on the plan.


A hemispherical container contains water to a depth of 10 cm. If the volume of the water inside the container is 5000m/3 cubic centimeter, find the diameter of the vessel.


The volume of a cone shaped hole is 16 on ft cubes if the hole is 3 feet deep is hat is the radius of the hole?


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