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Question 1154878: Draw a large triangle ABC, and mark D on segment AC so that the ratio AD:DC is equal to 3:4. Mark any point P on segment BD.
(a) Find the ratio of the area of triangle BAD to the area of triangle BCD.
(b) Find the ratio of the area of triangle PAD to the area of triangle PCD.
(c) Find the ratio of the area of triangle BAP to the area of triangle BCP.
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Question 1154880: A triangle has two k-inch sides that make a 36-degree angle, and the third side is one inch long. Draw the bisector of one of the other angles. How long is it? There are several ways to calculate the number k. Apply at least two of them.
Click here to see answer by greenestamps(13198)

Question 1154879: Suppose that triangle ABC has a 30-degree angle at A and a 60-degree angle at B. Let O be the midpoint of AB. Draw the circle centered at O that goes through A. Explain why this circle also goes through B and C. Angle BOC is called a central angle of the circle because its vertex is at the center. The minor arc BC is called a 60-degree arc because it subtends a 60-degree angle at the center. What is the angular size of minor arc AC? of major arc AC? How does the actual length of minor arc AC compare to the length of minor arc BC?
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Question 1154876: Draw a circle and label one of its diameters AB. Choose any other point on the circle and call it C. What can you say about the size of angle ACB? Does it depend on which C you chose? Justify your response.
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Question 1154769: Calculate the residual of P = (1.2, 2.4) with respect to the line 3x + 4y = 12.
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Question 1154881: .Consider the points A = (−0.5,−8), B = (0.5,−5), and C = (3,4.5). Calculate the residual for each of these points with respect to the line 4x − y = 7.
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Question 1154874: Find the lengths of both altitudes in the parallelogram determined by [2, 3] and [−5, 7].
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Question 1155071: Mel plans to fence his yard for his new puppy. The yard is a 54 ft by 112 ft rectangle. Fencing costs $ 15 per 10 ft section. What is the cost of the dense not including fencing?
Click here to see answer by Alan3354(69443)

Question 1155112: The radius of a circle is 7 feet. What is the area of a sector bounded by a 180° arc?

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Question 1155112: The radius of a circle is 7 feet. What is the area of a sector bounded by a 180° arc?

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Question 1155112: The radius of a circle is 7 feet. What is the area of a sector bounded by a 180° arc?

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Question 1155138: A document is to contain 80 square centimetres of print. The margins at the top in bottom of the document are each 2 centimetres wide and the margins on each side are 3 centimetres wide. What should be the dimensions (in centimetres) of print so that a minimum amount of paper is used?

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Question 1155144: If two chords of a circle have the same length, then their minor arcs have the same length too. True or false? Explain. What about the converse statement?
Is it true? Why?
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Question 1155151: On a circle whose center is O, mark points P and A so that minor arc PA is a 46-degree arc. What does this tell you about angle POA? Extend PO to meet the circle again at T. What is the size of angle P T A? This angle is inscribed in the circle, because all three points are on the circle. The arc PA is intercepted by the angle P T A.

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Question 1155153: The first angle of a triangle is triple that of the smallest angle. The second angle is 5 more than triple the smallest angle. What is the measure of the smallest angle? Please explain your answer.
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Question 1155152: The area of triangle ABC is 231 square inches, and point P is marked on side AB so
that AP :PB = 3:4. What are the areas of triangles APC and BPC?
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Question 1155158: 1.7 The rectangular swimming pool is 11,5 m long, 5 m wide and 3m deep throughout. Calculate its volume.
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Question 1155155: 1.6 Write down the formulae for calculating volume for each of the shapes.
Shape Formula
Cylinder

Rectangular solid

Cube

Pyramid

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Question 1155159: 2. Calculate the area of a triangle whose base is 13.9 m. and whose altitude is 7.8 m:
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Question 1155161: 4. Calculate the area of a parallelogram whose base is 17,9 cm and whose
altitude is 30,25 cm in length.
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Question 1155160: . Calculate the area of parallelogram GDEF if the base is 5m and the altitude is
3,2m
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Question 1155149: The circle x2 +y2 = 25 goes through A = (5,0) and B = (3,4). To the nearest tenth of a degree, find the size of the minor arc AB.

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Question 1155150: An equilateral triangle is inscribed in the circle of radius 1 centered at the origin (the unit circle). If one of the vertices is (1, 0), what are the coordinates of the other two? The three points divide the circle into three arcs; what are the angular sizes of these arcs?

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Question 1155231: The sine of a 38-degree angle is some number r. Without using a calculator, you should be able to identify the angle size whose cosine is the same number r.
Click here to see answer by Alan3354(69443)

Question 1155230: In triangle ABC, it is given that angle BCA is right. Let a = BC, b = CA, and c = AB. Using a, b, and c, express the sine, cosine, and tangent ratios of acute angles A and B.
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Question 1155233: Draw non-parallel vectors u, v, and u + v emanating from a common point. In order that u+v bisect the angle formed by u and v, what must be true of u and v?

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Question 1155232: Given SSS information about an isosceles triangle, describe the process you would use to calculate the sizes of its angles.
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Question 1155232: Given SSS information about an isosceles triangle, describe the process you would use to calculate the sizes of its angles.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1155229: The area of a trapezoidal cornfield IOWA is 18000 sq m. The 100-meter side IO is parallel to the 150-meter side W A. This field is divided into four sections by diagonal roads IW and OA. Find the areas of the triangular sections.
Click here to see answer by greenestamps(13198)

Question 1155235: One piece of leftover plywood is 0.75 in. Thick, 3 ft. Wide, and 7 ft. Long. Estimate the approximate surface area of two stacks of 11 piece leftover plywood. Round your answer to the nearest hundredth.
Click here to see answer by mananth(16946)

Question 1155227: Triangle ABC has a 53-degree angle at A, and its circumcenter is at K. Draw a good picture of this triangle, and measure the size of angle BKC. Be prepared to describe the process you used to find K. Measure the angles B and AKC of your triangle. Measure angles C and AKB. Make a conjecture about arcs intercepted by inscribed angles. Justify your assertion.
Click here to see answer by mananth(16946)

Question 1155147: .Suppose that MP is a diameter of a circle centered at O, and Q is any other point on the circle. Draw the line through O that is parallel to MQ, and let R be the point where it meets minor arc PQ. Prove that R is the midpoint of minor arc PQ.

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Question 1155225: Show that the medians of any triangle divide the triangle into six smaller triangles of
equal area. Are any of the small triangles necessarily congruent to each other?
Click here to see answer by Edwin McCravy(20054)

Question 1155568: One piece of leftover plyword is .75 inches thick 3 feet wide and 7 feet long estimate the approximate service area of two stacks of 11 piece Of leftover plywood. Round your answer to the nearest hundredth
Click here to see answer by ikleyn(52778)

Question 1155607: A playground is being built in the shape of a circle with a diameter of 12 meters long. For all calculations involving π, use π≈3.14. How much fencing would need to bought to enclose the playground?
Amount of fencing =
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Question 1155552: A french fry stand at the fair serves their fries in paper cones. The cones have a radius of 222 inches and a height of 666 inches. It is a challenge to fill the narrow cones with their long fries. They want to use new cones that have the same volume as their existing cones but a larger radius of 444 inches.
Click here to see answer by mananth(16946)

Question 1155551: A secant and a tangent intersect in the external of a circle. The chord which is a part of the secant is 3 times as long as the tangent segment and the internal segment of the secant is 10cm. Find the length of their common internal tangent.
Click here to see answer by greenestamps(13198)

Question 1155663: A square mirror is framed with stained glass as shown. Each corner of the frame began as a square with a side length of d inches before it was cut to fit the mirror. The mirror has a side length of 3 inches. The area of the stained glass frame is 91 square inches.
Click here to see answer by ikleyn(52778)

Question 1155872: A gardener has a 40 foot by 35 foot rectangular plot of ground. She wants to build a brick walkway of uniform width on the border of the plot. If the gardener wants to have 1,000 square feet of ground left for planting, how wide (to two decimal places) should she build the walkway?
Click here to see answer by josmiceli(19441)

Question 1155936: Jen is packing the storage shelf with items for their summer expedition. Each box of food if 6 inches long and 4 inches wide. The shelf is 54 inches long and 45 inches wide. How many boxes of food can fit on the shelf if there is not any empty space left?
Click here to see answer by ikleyn(52778)

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