A 50-foot ladder leans against a wall so that it is 40 feet high at the top. The ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up. How much higher is the top of the ladder now? (Hint: Let 30 – 2x be the distance from the base of the ladder to the wall.) -

Q: A, who travels 4 miles an hour starts from a certain place 2 hours in advance of B, who travels 5…

A: Let after x hours B will overtake A B travels 5 miles an hour.  So in x hours B will cover 5x miles.…

Q: Suppose you are standing such that a 49-foot tree is directly between you and the sun. If you are…

A: Suppose you are standing such that a 49-foot tree is directly between you and the sun. If you are…

Q: The base of a three-dimensional figure is bound by the circle x2 + y? = 9. Vertical cross sections…

A:

Q: Express the length plus the girth in terms of x and h.

A: Given: length l and the girth xie., length =l and sides of a square=x

Q: A runner is participating in a 11 1/2 mile race. If the runner stopped at the water station that is…

A:

Q: At a certain time of day, a 6ft tall man casts a 4ft shadow. How tall is a tree whose height is 10ft…

A: Height of the man = 6ft Height of man's shadow = 4ft  Let the height of tree's shadow be x ft, then…

Q: A 23​-foot ladder is resting against a wall of a building in such a way that the top of the ladder…

A:

Q: A cyclist plans to cover the distance of 240 km. He calculated that if he is going to ride 8.4 km/h…

A:

Q: A 13 foot ladder is placed so that it reaches to a point on the wall that is 2 feet height than…

A:

Q: A 50-foot ladder leans against a wall so that it is 40 feet high at the top. The ladder is moved so…

A: We have to find the height where top of ladder is higher from base.

Q: A ladybug crawls around the outside of a rectangle that measures 9.5 cm by 7.5 cm. The ladybug stays…

A: The dimensions of rectangle 9.5 cm by 7.5 cm The ladybug stay 3.2 cm from the rectangle at all time…

Q: A small radio transmitter broadcasts in a 27 mile radius. If you drive along a straight line from a…

A: According to questionA small radio transmitter broadcasts in a 27 mile radius.

Q: Find a positive number such that the sum of the number and its reciprocal is as small as possible.

A:

Q: A wooden beam needs to be carried horizontally around the corner of a hallway (diagram provided on…

A:

Q: An open-top box is to be constructed from a sheet of tin that measures 42 inches by 24 inches by…

A:

Q: Suppose a trip from the dormitory to the late at 30 mph takes 12 minutes longer than the return trip…

A: Please refer the attached image for complete solution. THANK YOU.

Q: Suppose you are standing such that a 40-foot tree is directly between you and the sun If you are 5…

A: Given,         Suppose we are standing such that a 40-foot tree is directly between you and the sun.…

Q: At a construction site, a worker raises an 8-ft sheet of plywood to a platform by sliding the sheet…

A:

Q: In the 1939 movie The Wizard of Oz, upon being presented with a Th.D. (Doctor of Thinkology), the…

A:

Q: an oracle ordered a prince to build a sacred building whose space would be 400 cubic cubits, the…

A: Given,Volume of building=400 cubic cubitsLet height be x Width be x+3Length be x+3+6 =x+9

Q: Is any real number exactly 1 less than its cube?

A: Is any real number exactly 1 less than its cube?

Q: Ladders used by fruit pickers are typically tapered with a wide bottom for stability and a narrow…

A: We can see this problem can be modeled with an arithmetic sequence:   49, 46.5, 44, 41.5, 39, 36.5,…

Q: The area of a parallelogram is x8 . If the base is x4 , what is the height interms of x?

A: The area of parallelogram is x8 and base is x4.

Q: Cleatus, owner and operator of ACME Golf Inc., has a scheduled appointment at Spudnickville Golf…

A: In order to find the distances through river and ground to reach in minimum time, total time taken…

Q: Will the ladder be long enough to reach the bottom of the window (the base of the ladder cannot be…

A: We have to find that if the length of ladder would be long enough to reach the bottom of the window.

Q: A model of the Statue of Liberty is 1% of the height of the real Statue of Liberty. If the real…

A: Given,  The height of real statue of liberty is 46 metres. height of the model is 1% of the height…

Q: t ladder is leaning against a vertical wall. If the foot of the ladder is 8 feet from the wall, how…

A: The Pythagorean Theorem states that the sum of the square of the two shorter legs of a right…

Q: 37. Suppose that 1200 sq. cm of material is available to make a box with a square base and an open…

A: Let the side of the bottom be ax and the height of the box  h.  The volume of the box will be…

Q: The fastest drag racers can reach a speed of 330 mi>hr over a quarter-mile strip in 4.45 seconds…

A: Mean Value theorem:- If a function f(x) is continuous in closed interval [a,b] and differentiable in…

Q: To the nearest hundredth, suppose that on each bounce, a superball bounces to 72% of the height from…

A: Geometric series problem.....

Q: Find the absolute extremum values of

A: Given,           f(x)=xe12-2x2

Q: The length of a ladder is equal to the height of the wall. The ladder leans against the wall in such…

A: The length of a ladder is equal to the height of the wall. The ladder leans against the wall in such…

Q: 3. Find the length of a loading ramp which extends from a building to the ground. The lower end of…

A:

Q: A ball returns two-thirds of its preceding height on each bounce.  If the ball is dropped…

A: Here, the ball is dropped from a height of 6 m., it will rebound to a height of 23rd of initial…

Q: Follow the Bouncing Ball-A ball rebounds one-fourth the height from which it is dropped. The…

A:

Q: A is thrice as good a workman as B and threfore is able to finish a job in 60 days less than B.…

A:

Q: to deliver products to an outline which is 600 km away from the company warehouse. At the same…

A: Given that  Time taken for delivery  = 10 hours Distance travelled = 600 kilometers    We know that…

Q: Suppose that the length of the edge of a cube is doubled. Which of the following is NOT a true…

A:

Q: A snail is crawling straight up a wall. The first hour it climbs 16 inches, the second hour it…

A: A snail is crawling straight up a wall. The first hour it climbs 16 inches. The second hour it…

Q: A ladybug crawls around the outside of a rectangle that measures 9.5 cm by 6.5 cm. The ladybug stays…

A:

Q: Starting with a 60-foot-long stone​ wall, a farmer would like to construct a rectangular enclosure…

A: So perimeter of the fence = x+w+60+x+w= 480 feet So,

Q: A 50-foot ladder leans against a wall so that it is 30 feet high at the top. The ladder is moved so…

A:

Q: Consider two real numbers such that the sum of their squares is no more than 1. How big can the sum…

A:

Q: Find the length of the latus rectum and the distonce between foci of the elipse 4x +9y? - 8x + 36y…

A:

Q: According to U.S. postal regulations, the girth plus the length of a parcel sent by mail may not…

A: Given the parcel sketch as:

Q: Find a positive number such that the sum of the number and its reciprocal is as small as possible

A: Second Derivative Test :   Firstly find critical point of f(x).i.e, f'(x)=0 and find the value of…

Q: Two motorists start at the same point and travel in two straight courses. The courses diverge by…

A:

Q: A man in a rowboat at P, 5 miles from the nearest point A on a straight shore, wishes to reach to a…

A: Given: A man in a rowboat at P, 5 miles from the nearest point A on a straight shore,wishes to reach…

Q: ind the maximum product of two positive numbers given that the sum of the umber and twice the second…

A: Please refer to the image below

Q: The length of a ladder is equal to the height of a wall. The ladder leans against the wall in such…

A: The length of a ladder is equal to the height of a wall. The ladder leans against the wall in such…