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Find the perimeter of the triangle whose vertices are the following specified points in the plane....
7. (9 pts) Find a vector perpendicular to the plane containing the triangle whose vertices are (1, 3, 2), (4, –2, 1), and (2, 3, –1)
1.) Given that the perimeter of a triangle is 216. If the angles of the triangle are in the ratio 5:6:7, determine the longest side of the triangle. 2.) 4 times the sine of a certain angle is 6 times of the square of the cosine of the same angle. Find the angle in degrees if it’s in the first quadrant. 3.) Determine k so that the points A(3,8), B(-1,0), and C(k,-2) are the vertices of a right triangle with...
Suppose a triangle is plotted on a coordinate plane with vertices located at ( -9, 3),(-3, -9) and (13, -1). What is the perimeter of the triangle?
what is the approximate perimeter of a triangle that has vertices at (-1,-9) (6,-3) and (-3,5)
Q = (0,6, -4) R= (5,-4, -5) Consider the triangle with vertices: P= (-2,0, -1) (a) Find the vectors PO, PŘ, and QŘ (b) What is the measure of the angle at P (ZQPR)? (c) What is the perimeter of the triangle APQR ? (d) What is the area of the triangle APQR? (e) Find a vector that is perpendicular to the plane containing P, Q, and R Verify that the vector you have found is perpendicular to PO (f)...
Find the measures of the angles of the triangle whose vertices are A = ( - 2,0), B = (2,1), and C=(2,-3)
4. A triangle has vertices at W(2,3), V(-6,-3) and X(0,-5). Use algebra to 1) determine the midpoints of the sides of the triangle. Label each midpoint A, B, and C. 2) verify each of the midsegments are parallel to the third side. 3) show the perimeter of the midsegment triangle is half the perimeter of AWVX.
3. The pair of random variables X and Y is uniformly distributed on the interior of the triangle with the vertices whose coordinates are (0,0), (0,2), and (2,0) (i.e., the joint density is equal to a constant inside the triangle and zero outside). (a) (10 points) Find P(Y+X< 1). (b) (10 points) Find P(X = Y). (c) (10 points) Find P(Y > 1X = 1/2).
3. The pair of random variables X and Y is uniformly distributed on the interior...
Find the three angles of the triangle with the given vertices: P(1,1,1), Q(1,−5,2), and R(−2,2,6) Find a nonzero vector orthogonal to the plane through the points: A=(0,1,−1), B=(0,6,−5), C=(4,−3,−4)
Problem 6 A current i runs counterclockwise along the perimeter of an equilateral triangle whose sides are length a. The bottom of the triangle is horizontal. A uniform magnetic field, B, points to the right (horizontally.) (a) Draw a diagram showing the current, the field, and the force on each side of the triangle. (b) Find the magnitude of the force on each side and the net force on the entire triangular loop (c) Determine if there is a net...