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Write the statement in symbols using the p and q given below. Then construct a truth table for the symbolic statement and select the best match.
An airplane is flying at an altitude of 50 000 ft. if the radius of the earth is about 4 000 miles, find the distance from the plane to the horizon.
Question: For the Minkowski plane, dM(AB) = |x2 - x1|+ |y2 - y1|. Proposition 2.2 states that if A(x1,y1) and B(x2,y2) are on the line y = mx + b, then dM(AB) = |x1 - x2|(1+|m|) . Prove that the tw
You are given two points on a circle. Is it possible to find an equation of the circle? Is it possible if you are given three non-collinear points? Explain.
A ladder that is 3.0 m long is leaning against a wall at an angle of 66.0 o with respect to the ground. If the base of the ladder is moved 0.51 m away from the wall, how far will the top of the l
The surface areas of two similar cylinders are 6πft2 and 54πft2. The volume of the smaller cyllinder is 2πft3. What is the volume in cubic feet of the larger cyllinder?
Write the standard for of the equation of the line with slope 1 and y-intercept 2.
The diagonal of a square is 24 feet. Jane wants to build a fence around the garden. In order to buy enough fencing, jane needs to find the perimeter of the garden.
The measure of the exterior angle of a triangle is greater than or equal to the sum of the two measures of the two opposite interior angles.
Two sides of a triangle measure 12 and 20. The measure of the included angle is 40. Find the area of the triangle to the nearest tenth.
AN and CM are medians. A. If the area of triangle ABC is 48 units^2, what are the areas of triangles AMC and CNA? Explain.
Consider quadrilateral ABCD with A = (-3,4), B = (2,6), C = (2,-1), and D = (-3,-3). Find the area and perimeter of ABCD. Please show work.
If you construct a 12 faced polyhedron of all congruent rhombi, where at each vertex either three or four angles meet. What is the specific angle for the rombus to build this object? How is it found
A plot of land is a trapezoid whose bases have lengths 80m and 110m, and whose height is 50m. if a bag of seeds covers 50 square meters, how many bags are needed to cover this plot of land?
A bicyclist passes beneath it, traveling in a straight line at the constant speed of 10 m/sec. How fast is the distance between the bicyclist and the balloon increasing 2 seconds later?
Braun invested a certain sum of money at 8% p.a. simple interest for 'n' years. At the end of 'n' years, Braun got back 4 times his original investment. What is the value of n?
The sunday newspaper cost 2.10 per issue delivered and the saturday and weekday newspaper cost 40 cents per issue delivered. how many complete weeks can be purchased for $117.00?
One side of a triangular lot is 150 ft and the angel oppiste this side is 55 degrees. Another angel is 63 degrees. Determine how much fencing is needed to enclose it.
The distance between the points where the wires are fixed to the ground is equal to the length of one guy wire. How tall is the flagpole( to the nearest inches)?
They decide thy will each order a different entree, salad, and dessert, and share the portions. how many different meals are possible?
After reaching a lighthouse, the ship turns and sails another 6.7 nautical miles to a position that is due east of the starting point. FInd the bearing of the lighthouse from the ship's final pos
A plane is headed due south with an air speed of 192 mph. a wind from a direction of a 78º is blowing at 23.0 mph. find the groundspeed and resulting bearing of the plane.
If the car has maintained a constant speed of 64 mi/h, how far is it from its starting position? Round your answer to 2 decimal places.
Imagine covering an unlimited plane surface with a single layer of pennies, arranged so that each penny touches six other tangentially. What percentage of the plane is covered?
There is a narrow alley. A ladder leans against each wall starting at the opposite corner. One ladder is 20 feet long, the other is 25 feet long. They cross 10 feet above the ground. How wide is