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Question 1156829: Show that the lines y = 2x − 5 and −2x + 11y = 25 create chords of equal length when they intersect the circle x2 + y2 = 25. Make a large diagram, and measure the inscribed angle formed by these chords. Describe two ways of calculating its size to the nearest 0.1 degree. What is the angular size of the arc that is intercepted by this inscribed angle?

Click here to see answer by ikleyn(52778)

Question 1157056: A farmer has just tilled her 72-yard by 65-yard field. To survey her field, the farmer begins in one corner and walks the length of the field. She then turns and walks the width before crossing diagonally across the field to the original corner. How far does the farmer walk?

Click here to see answer by josmiceli(19441)

Question 1157115: A toy rocket is launched from the top of a building 114 feet tall at an initial velocity of 167 feet per second
a) give the function that describes the height of the rocket in terms of time t
b) determine the time at which the rocket reaches its maximum height, and the maximum height in feet
c) for what time interval will the rocket be more than 122 feet above ground level
d) after ho many seconds will it hit the ground?
the function that describes the height of the rocket in terms of t is s(t)=
Click here to see answer by Boreal(15235)

Question 1157163: A rectangular piece of cardboard, whose area is 143 square centimeters, is made into an open box by cutting a 2-centimeter square from each corner and turning up the sides. If the box is to have a volume of 126 cubic centimeters, what size cardboard should you start with?
Click here to see answer by josgarithmetic(39617)

Question 1157188: A 15 inch by 8 inch tablecloth is placed on a circular table.each of the four corners of the table clothes touch the edge of the table. Determine the radius of the table.
Click here to see answer by Alan3354(69443)

Question 1157421: John is building a pen in his backyard. the sides of the pen will form a right triangle with his home. the legs (base and height) of the triangle will be the pen material and the remaining side (hypotenuse) will be formed by his home. in other words, he only needs fencing for the legs of the triangular region. you may assume the side of his home is as long as necessary. given that he only has 50 feet of material for the wall what is largest possible area of his backyard?
Click here to see answer by ikleyn(52778)

Question 1157422: The figure below consists of a smaller square inside a larger one. The difference in their areas (the shaded part) is 17 cm². The sum of the perimeters of the two squares is 68 cm. How long are the sides of the larger square?
Click here to see answer by ikleyn(52778)

Question 1157459: the area of a trapezoid is A=h(a+b)/2, where A is the area, h is the height and a and b are the two parallel sides.
a) rearrange the formula to isolate a
b) the are of the trapezoid is 70cm2 , the height is 10 cm and the length of b is 6cm find the length of a
Click here to see answer by mananth(16946)

Question 1157504: A 15“ x 8“ tablecloth is placed on a circular table. Each of the four corners of the tablecloth touched the edge of a table. Determine the radius of the table.
Click here to see answer by ikleyn(52778)

Question 1157510: The area of an equilateral triangle is 100 3 square inches. How long are its sides?
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Question 1157512: The points A = (0,13) and B = (12,5) lie on a circle whose center is at the origin.
(a) Write an equation for the perpendicular bisector of segment AB. Notice that this bisector goes through the origin; why was this
(b) Find center and radius for another circle to which A and B both belong, and write an equation for it.
(c) How small can such a circle be? How large? What can be said about the centers of all such circles?
Click here to see answer by ikleyn(52778)

Question 1157511: Points P, E, and A are marked on a circle whose center is R. In quadrilateral PEAR,
angles A and E are found to be 54 degrees and 113 degrees, respectively. What are the other two angles?
Click here to see answer by greenestamps(13198)

Question 1157507: A right triangle has 6-inch, 8-inch, and 10-inch sides. A square can be inscribed in this triangle, with one vertex on each leg and two vertices on the hypotenuse. How long are the sides of the square?
Click here to see answer by greenestamps(13198)

Question 1157651: Kayson is looking at two buildings, building A and building B, at an angle of elevation of 59°. Building A is 40 feet away, and building B is 60 feet away. Which building is taller and by approximately how many feet?
Building A; it is around 66.57 feet taller than building B
Building A; it is around 33.29 feet taller than building B
Building B; it is around 66.57 feet taller than building A
Building B; it is around 33.29 feet taller than building A
Click here to see answer by Boreal(15235)

Question 1157508: Find a triangle two of whose angles have sizes tan−1(1.5) and tan−1(3). Answer this question either by giving coordinates for the three vertices, or by giving the lengths of the three sides. To the nearest 0.1 degree, find the size of the third angle in your triangle.
Click here to see answer by Boreal(15235)

Question 1157523: If the sun is 55° above the horizon find the length of the shadow cast by your building 96 feet tall

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Question 1157722: The length of a rectangle is 3cm longer than its width. If the perimeter of the rectangle is38 cm find its area
Click here to see answer by josgarithmetic(39617)

Question 1157758: A circular garden has a diameter of 6 feet. Which of the following is the closes to the area of the garden?

Click here to see answer by Boreal(15235)

Question 1157821: The Longest side of a triangle measures 267m. If two angles are 37° and 48°, find the shortest side of the triangle
Click here to see answer by Boreal(15235)

Question 1157931: Mary went for a mountain bike ride in a relatively flat wooded area. She rode for 6 km in one direction and then turned and pedalled 5 km in another. Finally, she turned in the direction of her starting point and rode 9 km. When she stopped, was it possible that Mary was back at her starting point? Explain.
Click here to see answer by greenestamps(13198)

Question 1157993: The graph of x2 −6x+9+y2 +2y+1 = 25 is a circle. Where is the center of the circle? What is the radius of the circle?
Click here to see answer by math_helper(2461)

Question 1157995: The altitude drawn to the hypotenuse of a right triangle divides the hypotenuse into
two segments, whose lengths are 8 inches and 18 inches. How long is the altitude?
Click here to see answer by mananth(16946)

Question 1157994: Show that the line y = 10 − 3x is tangent to the circle x2 + y2 = 10. Find an equation for the line perpendicular to the tangent line at the point of tangency. Show that this line goes through the center of the circle.
Click here to see answer by greenestamps(13198)

Question 1157991: Drawn in a circle whose radius is 12 cm, chord AB is 16 cm long. Calculate the angular
size of minor arc AB.
Click here to see answer by mananth(16946)

Question 1157991: Drawn in a circle whose radius is 12 cm, chord AB is 16 cm long. Calculate the angular
size of minor arc AB.
Click here to see answer by MathTherapy(10551)

Question 1157990: The length of segment AB is 20 cm. Find the distance from C to AB, given that C is a point on the circle that has AB as a diameter, and that
(a) AC = CB; (b) AC = 10 cm; (c) AC = 12 cm.
Click here to see answer by greenestamps(13198)

Question 1157989: Triangle ABC has P on AC, Q on AB, and angle APQ equal
to angle B. The lengths AP = 3, AQ = 4, and PC = 5 are given. Find the length of AB.
Click here to see answer by greenestamps(13198)

Question 1157986: A kite has an 8-inch side and a 15-inch side, which form a right angle. Find the length of the diagonals of the kite.
Click here to see answer by MathLover1(20849)

Question 1157987: Does (1,11) lie on the parabola defined by the focus (0,4) and the directrix y = x?
Click here to see answer by greenestamps(13198)

Question 1157985: Two circles have a 24-cm common chord, their centers are 14 cm apart, and the radius of one of the circles is 13 cm. Make an accurate drawing, and find the radius for the second circle in your diagram.
Click here to see answer by greenestamps(13198)

Question 1157984: Trapezoid ABCD has parallel sides AB and CD, of
lengths 8 and 16, respectively. Diagonals AC and BD in- tersect at E, and the length of AC is 15. Find the lengths of AE and EC.
Click here to see answer by ikleyn(52778)

Question 1157983: Show that (−2, 10), (1, 11), (6, 10), and (9, 7) are concyclic.
Click here to see answer by solver91311(24713)

Question 1158136:

Consider the diagram shown where the sun is 20° above the horizon. How long is the shadow cast by a building 150 ft tall? (to the nearest ft)
A) 51 ft
B) 160 ft
C) 412 ft
D) 430 ft

Click here to see answer by mananth(16946)

Question 1158185: For each of the following, fill in the blank to create a perfect-square trinomial:
(a) x^2 −6x+ ____
(b) y^2 +7y+ ____
(c) x^2 −0.4x+ ____
(d) y^2 −___y+42.25
Click here to see answer by josgarithmetic(39617)

Question 1158182: Let A = (1,3), B = (6,0), and C = (9,9). Find the size of angle BAC.
Click here to see answer by ikleyn(52778)

Question 1158198: Write an equation that says that P = (x, y) is on the parabola whose focus is (2, 1) and
whose directrix is the line y = −1.
Click here to see answer by josgarithmetic(39617)

Question 1158197: A circle goes through the points A, B, C, and D consecutively. The chords AC and BD intersect at P. Given that AP = 6, BP = 8, and CP = 3, how long is DP?
Click here to see answer by ikleyn(52778)

Question 1158199: A triangle has two 13-cm sides and a 10-cm side. The largest circle that fits inside this triangle meets each side at a point of tangency. These points of tangency divide the sides of the triangle into segments of what lengths? What is the radius of the circle?
Click here to see answer by MathLover1(20849)

Question 1158192: From any point P outside a given circle, there are two lines through P that are tangent to the circle. Explain why the distance from P to one of the points of tangency is the same as the distance from P to the other point of tangency. What special quadrilateral is formed by the center of the circle, the points of tangency, and
Click here to see answer by greenestamps(13198)

Question 1158194: A 72-degree arc AB is drawn in a circle of radius 8 cm. How long is chord AB?

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