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A communication tower is fixed to the top of a building. From a point 10 m from the base of the building, the angle of elevation to the top of the building is 60°, and to the top of the tower is 68°. What is the height of the communication tower, to the nearest tenth of a metre?
A rectangular storage unit has dimensions 1 m by 2 m by 3 m. If each linear dimension is increased by the same amount. What increase would create a new storage unit with a volume 10 times the original
A cylinder is inscribed in a right circular cone of height 3.5 and radius (at the base) equal to 2.5. What are the dimensions of such a cylinder which has maximum volume?
The robot gets out of the well (carrying the wrench) by climbing up the cable with one end of the cable still attached to the robot. How much work does the robot do in climbing to the top of the well?
Compare the two sets and describe what you discover.
Jam buys 12 pens for $10.Each pen costs the same amount of money. Write a proportion to find the number of pens Jan can buy for $15.Then solve your proportion for the number of pens.
Amanda's grandmother made a quilt for Amanda's bed. The quilt was made of 9 squares. Each square was 2ft. wide. How wide was Amanda's quilt?
the base of a right triangular prism is a isosceles triangle whose equal sides measure 25 cm each. the volume is 0.075 cubic meters. what is the height of the prism.
Express the volume of this region as a single triple integral in rectangular coordinates and Express this integral in terms of one or more integrals in the order dz dx dy.
Solve the following linear system using Gaussian elimination. Solve the following linear system using Gaussian elimination.
A basket contains 4 black, 2 blue, and 5 green balls. A sample of 3 balls is drawn. Find the probabilities that the sample contains the following.
To pass a course, you must have a final average of at least 60%. If a student scores 42 and 74 on the first two tests, what must be earned on the third test to pass the course?
How much dinitrogen pentoxide will remain after 30 minutes? How long will it take until 0.01 M of dinitrogen pentoxide remains?
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