Basic Math question and answers for October 15, 2024
- Q Solve for the missing angle: the angles are given in degrees, despite the lack of a degree signsin (47)/18=sin(B)/17?B=.Enter your answer as a decimal value.. You must be accurate to...
- Q Which of the answer choices could NOT be the measure of an unknown side of a triangle with twoknown side lengths of 10 and 45?38555045
- Q Solve the triangle.a=7 c=12B = 99.8What is the length of side b? Select the correct choice below and, if necessary, fill in the answer box within your choice.What is the...
- Q Explain how the angle-angle-side congruence theorem is an extension of the angle-side-angle congruence theorem. Be sure to discuss the information you would need for each theorem.
- Q Solve the triangle.a = 59.79 mi, b=40.04 mi, C= 52.1Find the length of side c. Select the correct choice below and, if necessary, fill in the answer box to complete...
- Q Consider a triangle ABC like the one below. Suppose that C= 101, a=57, and b=66. (The figure is not drawn to scale.) Solve the triangle.Carry your intermediate computations to at...
- Q The equation P = 3s represents the perimeter P of an equilateral triangle with side length s. Is there a proportional relationship between the perimeter and the side length of...
- Q One side of an equilateral triangle is 10 cm longer than the side of a smaller equilateral triangle. The sum of the perimeters of the triangles is 168 cm. How...
- Q Find the height of the triangle with an area of 231cm and a base of 22 cm. Be sure to include the units.
- Q Environmental Science A geologist wants to determine thedistance, AB, across a sinkhole. Choosing a point E outsidethe sinkhole, she finds the distances AE and BE. Shelocates the midpoints C and...
- Q Calculate the length of the hypotenuse of a right triangle that has sides that measure 2' and 3'5'6.5'3.6'13'
- Q A triangle has rotation symmetry that can take any of its vertices to any of its other vertices.Select all conclusions that we can reach from this.A. All sides of the...
- Q You are building a new desk for your room and decide to make it triangular in shape. You want to be able to put chairs on all three sides of...
- Q In triangle ABC, segment BF is an angle bisctor and the m<ABF = 40.What is the m<ABC?1340O 8090
- Q An isosceles triangle had one angle that measures 96. Find the measures of the other two angles and classify the triangle as acute, right, or obtuse.Select one:O a. 380, 380,...
- Q Tameka's back yard has three trees that form a small triangle. She is planning to plant a flower garden in this triangular area and must calculate the area in order...
- Q A right triangle with vertices J(4, 0), K(0,0), and L(0,5) is rotated around the x-axis. To the nearest tenth of a unit, what is the volume of the resulting three-dimensional...
- Q Two ships leave a harbor at the same time. One ship travels on a bearing S11 W at 13 miles per hour. The other ship travels on a bearing N75...
- Q At a certain time of the day, a television relay tower casts a shadow on the ground 1500 cm long. A nearby pole 15 meters tall, casts a shadow 1250...
- Q The line segment with endpoints P(1,2) and Q(3,6) is the hypotenuse of a right triangle. The third vertex, R, lies on the line with Cartesian equation -x+2y-1=0.a. Determine the coordinates...
- Q Select all true statements.A. The incenter of a triangle is the intersection of the angle bisectors.B. The incenter is the same distance from all the vertices of the triangle.C. The...
- Q The cities of Fayetteville, Raleigh and Durham form a triangle. They are building a new baseball stadium. How should they determine where to place the stadium so it is the...
- Q Solve the triangle.a = 16, b= 12, c=5(Round to one decimal place as needed.)
- Q Three sidewalks cross near the middle of City Park, forming a triangular region. Levi donated money to the city to create a fountain in memory of his father. He wants...
- Q A triangular lot bounded by three streets has a length of 300 feet on one street, 250 feet on the second, and 420 feet on the third. Find the measure...
- Q Solve the triangle.a = 9, b=9, c = 9Solve for the value of each unknown.A =(Round to one decimal place as needed.)
- Q An iron tank is constructed in the form of an isosceles trapezoid. Each base angle measures 105, the length of the base is 10 feet, and each of the nonparallel...
- Q Ella selects backsplash a rhombus. Each side of the a tile for her that is in the shape of rhombus measures 4 inches. The diagonal opposite the smaller angle is...
- Q If you wish to show that two triangles are similar, which statement(s) is correct? You may choose more than one correct answer.It is enough to show that one pair of...
- Q If a dilation is applied to a triangle, then the image must beO a larger or smaller triangle.O a congruent triangle.O a triangle that is rotated about a given point.O...
- Q By a Pythagorean triple, we call a triple of positive integers a, b, c such that a^2 +b^2 = c^2 and the integers a, b, c do not have a...
- Q A marathon swim follows a triangular course marked with three buoys, A, B, and C. The distance from buoy A to B is 400 meters, B to C is 500...
- Q Two American flags of different dimensions are properly folded into two similar isosceles right triangles. The ratio of the length of the legs of the smaller triangle to that of...
- Q A surveyor standing next to a hut on one side of a river sights a boulder on the other side and determines the angle from the hut to the boulder...
- Q A carousel is being designed for the Spring Festival. The horses will be mounted to a regular hexagon and the hexagon is then placed on a revolving circle so that...
- Q Tina ordered a replacement part for her desk. It was shipped in a box that measures 3 in. by 3 in. by 12 in. What is the greatest length in...
- Q Given ?ABC with m?B=82, m?C=48, and a = 16 inches, what is the length of b? 15.522 inches 19.101 inches 20.683 inches 21.321 inches
- Q Recall that "to solve a triangle" means to find values for all the angles and sides that weren't already given values. Using your knowledge of the sine and cosine laws,...
- Q Select all of the right triangles.Triangle ABC with AB = 30, BC = 40, and AC = 50Triangle XYZ with XY = 1, YZ = 1, and XZ = 2Triangle...
- Q Solve the following triangle. There may be two, one, or no such triangle.A = 142.54, b= 5.995 feet, a = 8.858 feetSelect the correct choice below and, if necessary, fill...
- Q Which of the following is a true statement about the three angles of any right triangle?Each of the three angles has a measure of 60 degrees.Each of the three angles...
- Q Sketch the triangle and use the Law of Cosines to find the indicated value. Round your answer to the nearest hundredth. 19. Find the third side of a triangle with...
- Q A puzzle piece in the shape of a triangle has perimeter 28 centimeters. Two sides of the triangle are each three times as long as the shortest side. Find the...
- Q For isosceles ?PNQ, the vertices are P(-2a, 0), N(2a, 0). and Q(0, 2b). In terms of a and b, find the coordinates of the circumcenter of ?PNQ. (The circumcenter is...
- Q Solve the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.3) B= 53.2C=100.6b= 31.5A) A = 24.2, a = 38.7, c = 17.4B) A...
- Q A 13-foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away from the wall at the rate of 7 feet per second,...
- Q Starting from an airport, an airplane flies 210 miles west and then 110 miles south. How far, in miles, from the airport is the plane? (Round your answer to the...
- Q Solve the triangle.a=8.895 in c= 6.110 in B=74.86What is the length of side b?in(Round to the nearest thousandth as needed.)What is the measure of angle A?O(Round to the nearest hundredth...
- Q Solve the triangle.a=4.09 m c=5.83 m B= 29.8What is the length of side b?(Simplify your answer. Type an integer or a decimal. Round to four decimal places if needed.)What is...
- Q A parallelogram has sides of length 14.4 cm and 12.4 cm. The longer diagonal has length 22.1 cm. Find the angle opposite the longer diagonal.What is the degree measure of...
- Q Find the unknown angles in triangle ABC for the following triangle that exists.C=51 30', b= 24.9 m, c = 35.3 mA. There is only one possible solution for the triangle....
- Q Solve the trianglea=4.16 m c=5.94 m B=25.4what is the length of side B?(Simplify your answer. Type an integer or a decimal. Round to four decimal places if needed)What is the...
- Q A flagpole 94.5 ft tall is on the top of a building. From a point on level ground, the angle of elevation of the top of the flagpole is 35.4,...
- Q The equation for the area of a triangle is A = 1/2 bhArea = (1/2) (base) (height)The following information is provided to you:?ABC??DEFThe height of the ?ABC is equal to...
- Q The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times the measure of...
- Q Solve the triangle ABC, if the triangle exists.B=3518' a=38.6 b=30.8A. There are 2 possible solutions for the triangle.The measurements for the solution with the longer side c are as follows.m...
- Q Solve the triangle.A=68, B=48, a=11C=b?C?
- Q Consider kite ABCD with diagonals intersecting at E, where BD is the perpendicular bisector of AC. Which is a pair of congruent triangles in the kite? Check all that apply.A...
- Q Starting from an airport, an airplane flies 110 miles west and then 210 miles northwest. How far, in miles, from the airport is the plane?
- Q Use the law of sines to solve the triangle, if possible.B=36, C= 27, b=29A=(Do not round until the final answer. Then round to the nearest degree as needed.)a=(Do not round...
- Q Given that a rectangle has a width of 3 feet and a perimeter of 34 feet, what is the length?Step 2 of 3: Without substitution, solve the formula for the...
- Q One leg of a right triangle is 49 inches longer than the other leg, and the hypotenuse is 91 inches.Find the lengths of the legs of the triangle.The lengths of...
- Q Which statement is true? When an altitude is drawn from the right angle of a right triangle it createsthree similar triangles. When an altitude is drawn from an acute angle...
- Q Which statement correctly describes two triangles that are similar?The distance between corresponding vertices are equal and the corresponding angle measures are the same.O The distance between corresponding vertices are equal,...
- Q Transversal CD cuts parallel lines PQ and RS at points X and Y, respectively. Points P and R lie on one side of CD, while Q and Slie on theother...
- Q A ladder 24m long is placed on the ground in such a way that it touches the top of a vertical wall 15m high. Find the distance of the foot...
- Q Han wrote a proof that triangle BCD is congruent to triangleDAB. Han's proof is incomplete. How can Han fix his proof?Line AB is parallel to line DC and cut by...
- Q One side of triangle is 7 more than 2 times the shortest side. The third side is 23 feet more than the shortest side. The perimeter is 74. Find all...
- Q One of the angles of ?ABC has a measure of 63. One of the angles of ?DEF has a measure of 81. If ?ABC and ?DEF are similar, what is...
- Q Assume a is opposite side a, is opposite side b, and y is opposite side c. Determine whether there is no triangle, one triangle, or two triangles. Then solve each...
- Q A person in a balloon which is 2,000 feet above the airport find the angle of depression to a ship out at sea is 21 degrees. Find the horizontal distance...
- Q Triangle ABC was dilated by 50%. What is the relationship between AC and A'C'?AC = (AC)(AC) = A'CAB'A%CC'
- Q On a dogleg golf hole, one golfer hits the ball 270 yards and then another 170 yards to reach the green. The angle between the two hits is equal to...
- Q Triangle DEF has angles of three different measures. What are all the possible types of DEF? Selectall that apply.Select all that apply:isoscelesrightscaleneobtuse
- Q Which is the best definition of an equilateral triangle?A. A triangle in which no two sides are congruentB. A triangle that has at least two congruent sidesA triangle that has...
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