D128 MATHEMATICS FOR ELEMENTARY EDUCATORS|2023 LATEST UPDATE|GUARANTEED SUCCESS

What is the length of the missing leg in a right triangle with a hypotenuse of 25 in. and a leg of 9 in.? 4√34 in. A scalene Triangle has no congruent sides Find the distance between points (0, 4) and (15, 0) by applying the Pythagorean theorem. 15.52 A circle has a diameter of 12.8 ft. What is the area of this circle? 128.61 ft. A circle has a circumference of 12.65 cm. Assuming π = 3.14, what is the measure of this circle's diameter? 4.03 cm A directional sign can be best described as which type of polygon? rectangle A quadrilateral has four congruent sides and diagonals that are perpendicular. Rhombus Points P (−2, 1), R (−2, −5), and Q (−6, −5) create triangle PQR, which is then translated 1 unit down and 3 units to the right. What is the new x-coordinate of R? A23 What is the triangle rotated 90 degrees about the origin? The triangle now sits in the upper left corner Which shows a dilation of the figure below? Enlargement by scale factor of one half Triangle ABC is congruent with triangle DEF. Which of the following angles in DEF is congruent to m BCA in the first triangle? EFD A square with vertices A(2, 6) B(4, 8) C(4, 6) and D(2, 4) is dilated by a scale factor of 3 with reference to the origin. Which of the following is the coordinate of B'? (12,24) Given ABCD ~ WXYZ, which of the following is true? BC~ XY Which of the following theorems proves that two figures are similar, but not congruent? Angle Angle Which transformation will map (2, 5) onto (-2, 5) (-x, y) Two triangles are drawn in the coordinate plane. The vertices of the first triangle are (5, 4), (−4, 6), (−8, 9). The vertices of the second triangle are (1, 6), (−8, 8), ( x, y). Find the value of x and y that allow these two triangles to be congruent. (−12, 11) An octagon in the coordinate plane is transformed.Which of the following transformations would result in a similar figure? (-5x, -5y) Which type of transformation are these figures an example of? Dilation A circle has an area of approximately 615.75 in 2. What is the circumference of the circle? 87.96 inches What is the area of this figure? 63 square units A triangular window has an area of 600 in 2. The base of the window is three times its height. What is the length of the base of the window? 60 in. A gardener has a rectangular garden with an area of 374 yd 2. The length of the garden is 17 yd. The gardener wants to enlarge the garden by doubling only the width of the current garden. How much fencing will the gardener need to enclose the new garden? 122 yd A teacher is making a game of ring toss for her class. She starts by using a circle with a diameter of 10 in. and then cuts out a smaller circle with a diameter of 6 in., leaving a ring as shown in the given image. 50.27 sq. cm What is the approximate capacity of a spherical water tank with a radius of 7 ft? 1,436 ft 3 A cylinder has a volume of 484π in. 3 and a height of 4 in. What is the radius of the cylinder? 6.21 inches A cylinder has a volume of 600 in 3. Find the volume of a cone with the same radius and height as the cylinder. 200 cubic inches How many square centimeters of sheet metal are required to manufacture a can with a radius of 3.5 cm and a height of 8 cm without overlapping? 252.77 cm 2 What is the surface area of a sphere with a diameter of 14 in.? 615.44 in 2 Find the surface area of a rectangular prism with a length of 3 in., a width of 4 in., and a height of 5 in. 94 in 2 What device would you use to measure the volume of a liquid? Graduated Cylinder What should a student use to measure the length and width of a textbook? Ruler