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Question 1154276: Sketch the circle whose equation is x2 + y2 = 100. Using the same system of coordinate axes, graph the line x + 3y = 10, which should intersect the circle twice — at A = (10, 0) and at another point B in the second quadrant. Estimate the coordinates of B. Now use algebra to find them exactly. Segment AB is called a chord of the circle.

Click here to see answer by rothauserc(4718)

Question 1154271: Square ABCD has 8-inch sides, M is the midpoint of BC, and N is the intersection of AM and diagonal BD. Find the lengths of NB, NM, NA, and ND.
Click here to see answer by Edwin McCravy(20054)

Question 1154275: Apply the Angle-Bisector Theorem to the smallest angle of the right triangle whose sides are 1, 2, and the square root of 3. The side of length 1 is divided by the bisector into segments of what lengths? Using a calculator, check your answer for the tangent of a 15-degree angle.

Click here to see answer by greenestamps(13200)

Question 1154363: A field is 4 times as long as it is wide. From corner to corner the field is 150 meters. What is the perimeter
Click here to see answer by josgarithmetic(39617)

Question 1154363: A field is 4 times as long as it is wide. From corner to corner the field is 150 meters. What is the perimeter
Click here to see answer by ikleyn(52780)

Question 1154273: Parallelogram PQRS has PQ = 8 cm, QR = 9 cm, and diagonal QS = 10 cm. Mark F on RS, exactly 5 cm from S. Let T be the intersection of PF and QS. Find the lengths TS and TQ.
Click here to see answer by Edwin McCravy(20054)

Question 1154422: Measure the circumference and diameter of one of the 10 common circular objects supplied by your teacher. Together with your classmates, make a chart of the 10 ordered pairs (diameter, circumference).
(a) On a sheet of graph paper, make a scatterplot of the set of ordered pairs.
(b) Use a ruler to draw a line that fits the trend of the data. Find an equation for your line. Compare your linear equation with the results of your classmates.
(c) Give an interpretation (with units) for the slope and intercept of your line. Are there theoretical values for each of these parameters? Explain.

Click here to see answer by ikleyn(52780)

Question 1154421: Measure the circumference and diameter of one of the 10 common circular objects supplied by your teacher. Together with your classmates, make a chart of the 10 ordered pairs (diameter, circumference).
(a) On a sheet of graph paper, make a scatterplot of the set of ordered pairs.
(b) Use a ruler to draw a line that fits the trend of the data. Find an equation for your line. Compare your linear equation with the results of your classmates.
(c) Give an interpretation (with units) for the slope and intercept of your line. Are there theoretical values for each of these parameters? Explain.

Click here to see answer by ikleyn(52780)

Question 1154420: 689.What is the radius of the largest circle that you can draw on graph paper that encloses
(a) no lattice points?
(c) exactly two lattice points?
(b) exactly one lattice point? (d) exactly three lattice points?

Click here to see answer by ikleyn(52780)

Question 1154419: Without doing any calculation, what can you say about the tangent of a k-degree angle, when k is a number between 90 and 180? Explain your response, then check with a calculator.
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Question 1154423: Let λ be the line y = 1 and F be the point (−1,2). Verify that the point (2,6) is equidistant from λ and F. Sketch the configuration of all points P that are equidistant from F and λ. Recall that this curve is called a parabola. Point F is called its focus, and line λ is called its directrix. Find an equation that says that P = (x, y) is on the parabola.

Click here to see answer by greenestamps(13200)

Question 1154417: What is the radius of the smallest circle that surrounds a 5-by-12 rectangle?
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Question 1154417: What is the radius of the smallest circle that surrounds a 5-by-12 rectangle?
Click here to see answer by ikleyn(52780)

Question 1154418: A triangle is defined by placing vectors [5, 7] and [−21, 15] tail to tail. Find its angles.
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Question 1154274: The lengths of the sides of triangle ABC are often abbreviated by writing a = BC, b = CA, and c = AB. Notice that lower-case sides oppose upper-case vertices. Suppose now that angle BCA is right, so that a2 + b2 = c2. Let F be the foot of the perpendicular drawn fromCtothehypotenuseAB. Ifa=5,b=12andc=13,whatarethelengthsofFA, FB,andFC? Doesc=FA+FB?
Click here to see answer by mananth(16946)

Question 1154445: The length of the base of a triangle is twice it's perpendicular height if it's area is 36cmfind it's length and perpendicular height
Click here to see answer by MathLover1(20849)

Question 1154498: For their students who turn the steering wheel too often while on the freeway, driving instructors suggest that it is better to focus on a point that is about 100 yards ahead of the car than to focus on a point only 10 yards ahead of the car. Comment on this advice.

Click here to see answer by ikleyn(52780)

Question 1154497: The line y = x + 2 intersects the circle x2 + y2 = 10 in two points. Call the third- quadrant point R and the first-quadrant point E, and find their coordinates. Let D be the point where the line through R and the center of the circle intersects the circle again. The chord DR is an example of a diameter. Show that triangle RED is a right triangle.

Click here to see answer by Edwin McCravy(20054)

Question 1154548: A scale drawing of a building needs to be made using the scale 1=180 ft. How tall will the building in the scale drawing be if the building is 1440 ft tall?
Click here to see answer by ikleyn(52780)

Question 1154546: Suppose that one of the angles of a triangle is exactly twice the size of another angle of the triangle. Show that any such triangle can be dissected, by a single straight cut, into two triangles, one of which is isosceles, the other of which is similar to the original.

Click here to see answer by greenestamps(13200)

Question 1154583: Lourdes is decorating a toy box for her sister. She will use self-adhesive paper to cover all of the exterior sides except for the bottom of the box. The toy box is 4 feet long, 3 feet wide, and 2 feet high. How many square feet of adhesive paper will Lourdes use to cover the box?
Click here to see answer by mananth(16946)

Question 1154584: Extended Constructed Response
a drawing of a wall that is to be covered with either wallpaper or paint. The wall is 6 ft. high and 20 ft. wide. The window, mirror, and fireplace are not to be painted or papered. The window measures 18 in. wide and 14 ft. high. The fireplace is 6 ft. wide and 4 ft. high, while the mirror above the fireplace is 6 ft. wide and 3 ft. high.
Pay attention to the units! You need to make them all the same.
How many square feet of wallpaper are needed to cover the wall?
Explain how you arrived at your answer.
Click here to see answer by mananth(16946)

Question 1154654: Adam needs to build a shed and he can only use triangular frames that form a right triangle for the corner walls.Which of the following dimensions for a triangular frame should Adam use?

Click here to see answer by ikleyn(52780)

Question 1154713: At a certain time of day, a tree that is x meters tall casts a shadow that is x−34 meters long. If the distance from the top of the tree to the end of the shadow is x+2 meters, what is the height, x, of the tree?
Click here to see answer by Alan3354(69443)

Question 1154728: Alex is decorating a circular cake. She wants to place a triangle with the longest possible side within the circle. The radius of the circle is 4.5 inches. What can the longest side of the triangle measure?
Click here to see answer by jim_thompson5910(35256)

Question 1154763: Raul is 537 ft from the world's tallest totem pole in Albert Bay, Canada. He decides to place a mirror on the ground between himself and the totem pole to use the angle of reflection to estimate the pole's height indirectly. he places the mirror at a spot that is 519 ft from the pole and backs up to his original position. if Raul is 6 ft tall, how tall does he calculate the pole to be? (draw a picture to help you solve it.)
Click here to see answer by josgarithmetic(39617)

Question 1154775: The sides of a square are parallel to the coordinate axes. Its vertices lie on the circle of radius 5 whose center is at the origin. Find coordinates for the four vertices of this square.
Click here to see answer by Edwin McCravy(20054)

Question 1154772: To the nearest tenth of a degree, calculate the angles of the triangle with vertices (0, 0), (6, 3), and (1, 8).
Click here to see answer by VFBundy(438)

Question 1154791: One side of a square was decreased by 3. The other side stayed the same . The area of the neve rectangle is 75% of the area of the square. Write and solve an equation to find the side of the original square.
Click here to see answer by ikleyn(52780)

Question 1154777: .Make an accurate drawing of a regular hexagon ABCDEF. Be prepared to report on the method you used to draw this figure. Measure the length of diagonal AC and the length of side AB. Form the ratio of the diagonal measurement to the side measurement. When you compare answers with your classmates, on which of these three numbers do you expect to find agreement?
Click here to see answer by Alan3354(69443)

Question 1154774: .Make an accurate drawing of a regular hexagon ABCDEF. Be prepared to report on the method you used to draw this figure.
Click here to see answer by Alan3354(69443)

Question 1154774: .Make an accurate drawing of a regular hexagon ABCDEF. Be prepared to report on the method you used to draw this figure.
Click here to see answer by ikleyn(52780)

Question 1154773: .In a right triangle, the 58-cm hypotenuse makes a 51-degree angle with one of the legs. To the nearest tenth of a cm, how long is that leg? Once you have the answer, find two ways to calculate the length of the other leg. They should both give the same answer.

Click here to see answer by Alan3354(69443)

Question 1154771: Show that the area of a square is half the product of its diagonals. Then consider the possibility that there might be other quadrilaterals with the same property.
Click here to see answer by mananth(16946)

Question 1154778: Let A and B be the positive x-intercept and the positive y-intercept, respectively, of the circle x2 + y2 = 18. Let P and Q be the positive x-intercept and the positive y-intercept, respectively, of the circle x2 + y2 = 64. Verify that the ratio of chords AB : P Q matches the ratio of the corresponding diameters. What does this data suggest to you?
Click here to see answer by ikleyn(52780)

Question 1154776: Find the lengths of both altitudes in the parallelogram determined by [2, 3] and [−5, 7].
Click here to see answer by ikleyn(52780)

Question 1154908: The dimensions of a triangular street are shown at left. An accurate map of this street is shown at the right.
An image shows two similar right triangles. The first triangle has base 400 feet, leg 300 feet, and hypotenuse 500 feet. The second triangle has leg N inches and hypotenuse 20 inches.
Click here to see answer by MathLover1(20849)

Question 1154927: A gardener makes a new circular flower bed. The bed is ten feet in diameter. Calculate the circumference and the area of the circular flower bed.

Click here to see answer by Alan3354(69443)

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