A jet plane traveling at 500 mph overtakes a propeller plane traveling at 200 mph that had a 2­hour head start. How far from the starting point are the planes?

Q: A gutter with trapezoidal cross section is to be made from a long sheet of tin that is 18 inches…

A: Given that , Total length of the sheet = 18 inches find width across the top will give the greatest…

Q: A service wire reaches from the top of a barn which is 1 meters hight to a point on the ground 6…

A: What is the length of the wire to the nearest tenth of a meter?

Q: In a triangular sandbox, two of the sides are 5 ft and 8 ft long. What is the range of possible side…

A:

Q: . An aircraft is vertically above a point which is 10 km West and 15 km North of a control tower. If…

A:

Q: A 35-foot ladder is leaning against the side of a building and is positioned such that the base of…

A: Length of the ladder = 35 foot Base of the ladder is 21 feet from the base of the building. We can…

Q: A map is scaled in such a way that 4 cm represents 7 km of the actual distance. If two towns are 11…

A:

Q: A ladder 15 feet from the base of a building reaches a window that is 35 feet high. What is the…

A:

Q: A 35-foot ladder is leaning against the side of a building and is positioned such that the base of…

A: Given query is to find the height where ladder touches the wall

Q: A 10 ft ladder is leaning a wall. If the base of the ladder is 6 ft from the wall, how far up the…

A:

Q: A large aircraft is approximately 278 feet long and has a wingspan of 209 feet. If a scale model of…

A:

Q: How high up on a wall does a 34-ft ladder reach if the bottom of the ladder is placed 16 ft from the…

A:

Q: A pole 27 feet long is carried horizontally along a corridor 8 feet wide and into a second corridor…

A: The diagram will be

Q: The floor of a storage unit is 12 meters long and 9 meters wide. What is the distance between two…

A:

Q: A car traveling at 56 mph overtakes a cyclist who, riding at 14 mph, has hada 3 h head start. How…

A:

Q: A man whose height is 1.6 m casts a shadow that is 2.7 m in length. What is the approximate height…

A: Height of building = 6.6 meter Option C is correct Answer.

Q: Rena needed a cone container to hold 450 cubic inches of soil for a new plant. If the container must…

A: Given that V=450 cubic inches r=6 inches find height h=? Volume of a cone isV=13πr2h

Q: As a car moves along a section of the roadway in a mountain pass, it passes through a Rise Run…

A: Consider the given figure as

Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman…

A: we should find the height of the rectangle such that the window will admit the most light.

Q: What is the distance around the inside of the track?

A:

Q: A radio tower is supported by two wires that are each 130 yards long and attached to the ground 50…

A: A radio tower is supported by two wires that are each 130 yards long and attached to the ground 50…

Q: How long must the brace be on a closet rod holder if the vertical side is 17 cm and the horizontal…

A: Given Data: The horizontal length is: H=38 cm The vertical length is: V=17 cm   From the figure, the…

Q: The area of the wings of a small Cessna is 195 ft2. If the length is 34 ft longer than the width,…

A:

Q: The walls in a square room are each 25 feet long. What is the distance from one corner of the room…

A:

Q: Suppose a Red Oak is 30 ft high with a tree trunk radius of 2.5 ft and a Birch tree is 50 ft high…

A:

Q: An observation aircraft flying at a height of 12 km has detected a Brazilian ship at a distance of…

A: We can represent positions of each ship and plane using points as in the triangle below. The…

Q: 8 ft 30°

A: Given :/ Height of Ramp = 8 feet Slope of Ramp = 30° Let, The distance from Ramp from platform  = D…

Q: The perimeter of a square is no less than 72 centimeters. How long can a side be?

A: The perimeter of a square of side x is given as, P=4x Given information: It is given that the…

Q: On the blueprint for a house, a rectangular balcony is 1 inch wide and 1.75 inches long. If the…

A: Perimeter of balcony is 22 feet.

Q: A ladder that is 5 feet long is resting against the top of a wall that is 4 feet high. How far away…

A:

Q: A smockstack 75 feet high is held by 3 wires attached 10 feet from the top. To the nearest whole…

A: Consider the diagram below.The length AC is the length of each wire.

Q: A satellite orbits the earth at an altitude of 690 mi. What is the width of the path on the surface…

A: Given a satellite orbits the earth at an altitude of 690 mi. The radius of earth = 3950 mi Consider…

Q: A circular racetrack has a driving lane that is 12 feet wide, in the center of the track is a grassy…

A:

Q: A 11 foot ladder is placed against a vertical wall of a building, with the bottom of the ladder…

A: This is the question of the application of the Pythagoras theorem.

Q: On a map 1 inch equals 11.4 miles. If two cities are 1.5 inches apart on a map, how far they…

A: To find the actual distance between two cities

Q: The walls in a square room are each 14 feet long. What is the distance from one corner of the room…

A:

Q: A baseball diamond is really a square that measures 90 feet along each base path. What is the area…

A: Given Length of each path (l)= 90 feet

Q: A parcel delivery service will deliver a package only if the length plus girth (distance) around…

A: Given problem is :

Q: A picture frame is in the shape of a square with a circle removed from the centre. If the radius of…

A: Given, a picture frame is in the shape of a square with a circle removed from the centre. if the…

Q: How far will a car skid at 60 mph? at 100 mph?

A: To find How far will a car skid at 60 mph and 10 mph.

Q: A 52 foot ladder is set against the side of a house so that it reaches up 48 feet. If Jace grabs the…

A:

Q: A 24-foot ladder is resting against a wall of a building in such a way that the top of the ladder is…

A: This question is based on use of Pythagoras theorem.

Q: A jet plane traveling at 550 mph overtakes a propeller plane traveling at 200 mph that had a 2​-hour…

A: Given data: The speed of the jet plane is J=550 mph. The speed of the propeller plane is P=200 mph.…

Q: The actual distance between North Chicago and Waukegan is 4 mi. What is the distance between these…

A: Given : The distance between North Chicago and Waukegan is 4 mi. On the map 1 in represents 18 mi.

Q: A jet plane traveling at 500 mph overtakes a propeller plane traveling at 200 mph that had a 4-hour…

A: Let the travelling time for a propeller plane be t, speed  is 200 mph, distance travelled by…

Q: A 45 foot ladder is set against the side of a house so that it reaches up 27 feet. If Latanya grabs…

A:

Q: a car is traveling at a speed of 65 mi/h. how long does it take to cover a distance of 235 m

A:

Q: Randy wants to attach a 17-foot string of lights to the top of the 15 foot mast of his sailboat. How…

A: Given that: Length of string, L=17ftHeight of the mast, H = 15ft

Q: What is the distance, to the nearest mile, from the origin of the Nile when the riverhas an altitude…

A:

Q: A flagpole is secured on opposite sides by two guy wires, each of which is 5 ft longer than the…

A: Let the height of the flagpole be x ft. Then the given data can be shown in the following…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.