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Select at least 5 more Pythagorean Triples. Show why your 5 sets of Pythagorean triples work in the Pythagorean Formula.
Explain how to derive the formula for the distance between two points in analytic geometry in 3-space.
Given that x = 3sin theta and y = 4cos theta,express x + y in the form R sin (theta + alpha) giving alpha in radians correct to 4 decimal places.
The examples you find should be different from each other in the sense that one should not be a multiple of another.
Use a protractor and graph paper to map out the following path for the turtle. Be sure to scale for any distances.
An airplane propeller rotates 1000 times per min. Find the number of degrees that a point on the edge of the propeller will rotate in 1 sec.
A billboard painter has been assigned the task of changing the advertisement on a 20 ft billboard, the bottom is 15ft off the ground, two other sites.
20ft billboard, the bottom which is 15ft off the ground, the painter has a 25ft ladder. from the 10ft from the base at what point will the ladder reach the sign
A man is placing a ladder against a tree to climb to the top. The ladder is placed 3 feet from the base of the tree.
Bhascara found a right triangle whose area is numerically equal to the length of its hypotenuse. Show that this cannot happen if the triangle has integer sides.
Prove that two Pythagorean triangles with the same area and equal hypotenuses are congruent.
The bottom right hand corner is folded along the crease so that the corner just touches the left hand side of the page.
A 30-foot ladder is leaning up against a roof that is 20 feet above the ground. How far from the building is the foot of the ladder?
The Numbers 3,4, and 5 are called Pythagorean triples since 32 + 42 = 52. The Numbers 5,12, and 13 are also Pythagorean triples since 52 + 122 =132.
Find the length of the diagonal of a rectangular billboard whose sides are 5 feet and 12 feet.
An electron with a mass of 9.11x10-31 kg has a velocity of 4.3 106 in the innermost orbit of a hydrogen atom.
The engine of a sports car rotates at 5,000 revolutions per minute (rpm). Calculate the angular speed of the engine in radians per second.
Use DeMoirvre’s Theorem to find the indicated power of the complex number. Write answer in rectangular form.
The components of v = 240i +300j represent the respective number of gallons of regular and premium gas sold at a gas station.
A pilot in a helicopter sights an ambulance heading toward an accident scene. He measures the angles of depression to the ambulance.
A bicycle tire has a diameter of 20 inches and is revolving at a rate of 10 rpm. At t =0, a certain point is at height 0.
A plane sets a course to fly with a ground speed of 200 km/h due east while climbing at an angle of 14 degrees.
Draw a square on each of the sides of the triangles. Compute the areas of the squares and use this information to investigate.
The line l1 passes through O and through the midpoint of the face ABFE. The line l2 passes through A and through the midpoint of the edge FG.
In the triangle with sides a= 21 cm, b=45cm, and c = 60 cm, where the angle gamma is between the sides a and b.