A plane travels at a speed of 210mph in still air. Flying with a tailwind, the plane is clocked over a distance of 500 miles. Flying against a headwind, it takes 1 hour longer to complete the return trip. What was the wind velocity? (Round your answer to the nearest tenth.)

Q: A 31-m tall building casts a shadow. The distance from the top of the building to the tip of the…

A: Explanation: Given that: Concept used: Pythagoras theorem c2=a2+b2

Q: A telephone pole is 24 feet tallI. A support cable is attached to the top of the pole to keep the…

A:

Q: d. If an outfielder catches the ball at a height of 6 ft, for how long was the ball in the air after…

A: For finding parametric equation,The vertical position is given by, x=v0cosθt And horizontal position…

Q: Use the Pythagorean Theorem to Solve for the Missing Side! (Round your answer to the nearest tenth.)…

A:

Q: Suppose you drop a tennis ball from a height of 8 feet. After the ball hits the floor, it rebounds…

A: Heights, calculation

Q: The height of the ramp is about feet. 14 ft 260 C y Note: Round your answer to the nearest tenth.…

A: A triangle is a polygon having three sides and three vertices. Sum of interior angles of triangle is…

Q: The radius of the wheel on a bike is 27 inches. If the wheel is revolving at 144 revolutions per…

A: Given: The radius of wheel=27 inches Number of revolutions of the wheel per minute=144…

Q: What is the height of the tower? Round to the nearest tenth. How tall is the t ower? 200ft a

A: The angle of elevation of the top of the tower from the observation point on the ground, θ = 50° The…

Q: A company wants to lay a string of buoys across a lake. To find the length of the lake, they made…

A:

Q: the diameter of a circle is 10 m. Find its area to the nearest tenth

A: Given that Diameter of circle =10 mTo find ; Area of circle .Solution :Radius r=Diameter d2r=10 m2=5…

Q: To find the distance across a lake, a surveyor took the measurements in the figure shown. Use these…

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Q: east and then 11 mi no

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Q: The length that a hanging spring stretches varies directly as the weight placed at the end of the…

A:

Q: A gate casts a shadow that is 5 ft long. A nearby cactus is 9 ft tall and casts a shadow that is 15…

A: A gate casts a shadow that is 5 ft long. A nearby cactus is 9 ft tall and casts a shadow that is 15…

Q: The radius of a bike wheel is 13in. How far will the bike travel in 20 revolutions ? (A revolution…

A: Explanation and solutions is given below.....

Q: A 33-m tall building casts a shadow. The distance from the top of the building to the tip of the…

A: We have to find out length of shadow

Q: A 35-m tall building casts a shadow. The distance from the top of the building to the tip of the…

A:

Q: A ship sails 20 miles on course 35°T and then sails 30 miles on a course 300°T. How far is it from…

A:

Q: A ship is 12 km due north of Gauss Island when it sends a distress signal to the coast guard. If the…

A: According to Pythagorean theorem, in a triangle square of hypotenuse is equal to sum of square of…

Q: An airplane flying 340 knots (nautical miles per hour) has a bearing of S45°W. After flying for 2.6…

A:

Q: A pole 8 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal…

A:

Q: A bicycle tire has a diameter of 22 in. How many feet does the bicycle travel when the wheel makes…

A:

Q: a tree casts an 18 foot shadow at the same time a 5¼ foot person casts a 2½ foot shadow. estimate…

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Q: 1. Using the right triangle below, solve for x. 8.9 cm 55°

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Q: 5食 8 ft 24 ft

A: From the given figure:     Let 'y' is the height of the tree:   Let triangle ADE and ABC be similar…

Q: A tent frame is made as shown in the diagram. How long must the metal rods be to support the roof?…

A:

Q: In circle P, mZQRO 49°. Solve for x if mQO = (9x + 26)°. If necessary, round your answer to the…

A:

Q: Round your answer to the nearest hundredth 42° -20 ft- 31° What is the height, in feet, of the tree?

A: Given,  The distance between the tree and the person is 20 ft Angle of elevation is 42° Angle of…

Q: A 12 foot ladder is leaning up against a wall, as shown. How high does the ladder reach up the wall…

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Q: A baseball is a square with sides that measure about 27 metres. How far does the second - base…

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Q: To measure the height of an inaccessible cliff on the opposite side of a river, a surveyor makes the…

A: Consider the figure below where the measurements are labelled to find the height h of the cliff.

Q: An airplane flying 370 knots (nautical miles per hour) has a bearing of S40°W. After flying for 2.9…

A: Given that ,  the navigation problem. Having bearing s40°w and 370 knots speed.

Q: The radius of a bike tire was measured to be 33.0 cm. Find the circumference of the tire. (This is…

A:

Q: Syll Solve the formula for the specified variable. t= pb for p Ani Ma p= My Ma

A:

Q: To find the distance across a lake, a surveyor took the measurements in the figure shown. Use these…

A:

Q: A woman drives 20 km north, then 5 km east, then 4 km south to her final destination. How far is she…

A:

Q: The length of a shadow of a building is 28 m. The distance from the top of the building to the tip…

A: Using pythogoras theorem

Q: Firefighters need to use a 60-foot ladder to save a child. She is 50 feet above street level. To the…

A:

Q: The radius of a circle is 13 cm. Find its circumference in terms of ™.

A: Given that, radius of a circle is 13 cm. It is known that, circumference of a circle of radius r is…

Q: QUESTION 16 Miranda would like to put a fence around her circular garden that has a diameter of 48…

A:

Q: Find the value of x if the inscribed angle is 70 degrees, and the measure of the intercepted arc is…

A: Given the inscribed angle is 70 degree and the intercept arc is 4x+9. To find the value of x.

Q: The length of a shadow of a building is 83 ft when the sun is 59° above the horizon. Find the height…

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Q: Surveyors are determining the height of a cliff that will be used to secure a tram car for travel…

A: First use the Sine rule of triangle than with the help of trigonometric ratio calculate the height…

Q: 23.1 ft 19.9 ft/80.3° A

A: Here, from the given figure: So, to find ∠A, ∠B & c

Q: A company wants to lay a string of buoys across a lake. To find the length of the lake, they made…

A:

Q: Solve. Round to the nearest tenth.If you travel 19 mi east and then 18 mi north, how far are you…

A: 19 mi east and then 18 mi north forms a right triangle as shown

Q: Big Ben, the famous clock in London, has a minute hand that is 14 feet long. How far does the tip of…

A: This question can be solved using the formula θ=lr

Q: A certain television is advertised as a 21-inch TV (diagonal length). If th height of the TV is 13…

A: We know that a TV is rectangular in shape. The length of the diagonal = 21 inch The height of the TV…

Q: Substitute the given values into each given formula and solve for the unknown variable. If…

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Q: 60 feet 6 ft

A: here we use the Pythagoras theorem which is given as ( Hypotenuse )² = ( perpendicular )²+( base )²

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.