Basic Math question and answers for October 12, 2024
- Q can write trigonometric ratios of a right triangle, using my understanding of the Pythagorean theorem and special right triangles.If tan ? = 12/5 , what does cos ? =?5/1312/135/1212/5
- Q I can write trigonometric ratios of a right triangle, using my understanding of the Pythagorean theorem and special righttriangles.If sin ? = 5/13, what does cos ? = ?12/1313/125/1325/169
- Q Solve the triangle shown to the right.A? (Simplify your answer.)b? (Type an integer or decimal rounded to two decimal places as needed.)C (Type an integer or decimal rounded to two...
- Q Given the maximum and minimum of a cosine function are 4 and -2 What's the midline?
- Q Consider the angle ?=-5?/6a. To which quadrant does belong? (Write your answer as a numerical value.)b. Find the reference angle for in radiansc. Find the point where intersects the unit...
- Q 5/6. From the outside the weightroom, Drake sees Cade walking at the track. If the height of the track stairs is 30 feet from the bottom to the top, and...
- Q The angle of elevation to the top of Wayne Tower in Gotham City is found to be 11 from the ground at a distance of 5,280 feet from thebase of...
- Q Find the exact value of the expression.sec ( tan^-1 (8/9) = Select the correct choice and fill in any answer boxes in your choice below.A. sec ( tan^-1 (8/9) =...
- Q Use your calculator to find the angle measures sin- (0.7), cos(0.3), and tan- (38.4) to the nearest tenth of a degree.a. sin-(0.7) = 0.8 , cos-(0.3) = 1.3 , tan-(38.4)...
- Q Orlando and Ryan are taking measurements related to the installation of a TV tower. Orlando measures a 62 angle of elevation to the top of the 950 ft TV tower....
- Q A ship left the bay and has sailed toward 30 degrees to the east for 5 km. If we set thebay to be the origin and the north to be...
- Q Solve the following problem. Be sure to make a diagram of the situation with all the given information labeled.A 72.7-foot rope from the top of a circus tent pole is...
- Q A slide on a playground rises at a 45 angle. The top of the slide is 20 feet above the ground. How far does a child travel down the silde?...
- Q The point (1, -1) is on the terminal side of angle 8, in standard position. What are the values of sine, cosine, and tangent of ?? Make sure to show...
- Q The largest Egyptian pyramid is 146.5 m high. When Rowena stands far away from the pyramid, her line of sight to the top of the pyramid forms an angle of...
- Q A dolphin is jumping in the ocean and makes a leap out of the water. The dolphin leavesthe water traveling at a speed of 32 ft/sec and an angle of...
- Q In a tourist bus near the base of Eiffel Tower at Paris, a passenger estimates the angle of elevation to the top of the tower to be 60. If the...
- Q A bird is sitting on top of a statue. From a point that is 42 feet away from the statue, the angle of elevation is measured to be 16. Findthe...
- Q Sheena claims that all quadrilaterals are rectangles. Which of the statements below disproves Sheena's claim?Quadrilaterals have four sides.Quadrilaterals are polygons.A square is a quadrilateral.A trapezoid is a quadrilateral.
- Q Use a calculator to find the value of the following expression rounded to two decimal places.cos -1 14/15
- Q A surveyor is measuring the height of a building from a sidewalk two meters away from the building. The angle of elevation from the surveyor's eye to the top of...
- Q A resistor and an inductor connected in a series network impede the flow of an alternating current. This impedance Z is determined by the reactance X of the inductor and...
- Q Suppose that a family has 5 children. How could you simulate the probability of having a girl or boy using colns? What outcome would show the outcome of all girls?Let...
- Q Draw triangle JKL with right angle L. If Sin J = 8/17, find each of the following ratios.Give answers in fraction form.Cos J=Tan J =Sin K =Cos K =Tan K...
- Q What is the estimate of the area under the curve of f using rectangular approximations and sample points on the interval [-1.5, 1.5]?Evaluate the function at:x = -1.3 on [-1.5,...
- Q Write the equation of a sine function that has the following characteristics.Amplitude: 9 Period: 9? Phase shift: 1/9Type the appropriate values to complete the sine function.y=sin(x-)
- Q A triangular plot of land has one side along a straight road measuring 289 feet. A second side makes a 62 angle with the road, and the third side makes...
- Q In ?FGH, the measure of ?H-90, the measure of ?F=75, and HF = 31 feet. Findthe length of GH to the nearest tenth of a foot.
- Q In ?PQR, the measure of ?R-90, RP = 3.7 feet, and PQ = 9.5 feet. Find the measure of ?Q to the nearest tenth of a degree.
- Q In ?NOP, the measure of ?P-90, NO = 83 feet, and OP = 49 feet. Find the measure of ?0 to the nearest tenth of a degree.
- Q TIf sin 0= 77,0 <0</2?7,0<8<,(a) sin (20)find the exact value of each of the following.(b) cos (20)7|20(c) sin(c) sin 2(a) sin (20) =12?1349(Type an exact answer, using radicals as needed.)-23(b)...
- Q Use the given information to find the exact value of each of the following.a. sin 20b. cos 20c. tan 20sin?=5/7, ? lies in quadrant IIa. sin 20 =(Simplify your answer....
- Q How long is a ladder that reaches a height of 4.36 m up a wall and rests on the wall at an angle of elevation of 74? Hint: Be sure...
- Q From the top of a lighthouse 210 feet high, the angle of depression of a boat is 27. Find the horizontal distance from the boat to the foot of the...
- Q Given tan A = 12/5 and that angle A is in Quadrant I, find the exact value of sin A in simplest radical form using a rational denominator.
- Q In ?CDE, the measure of ?E=90, EC = 45 feet, and CD = 75 feet. Find the measureof ?C to the nearest degree.
- Q Match the trigonometric expression with its simplified form.cos(x)(1+ tan(x))sec(x) + tan(x)sin(x) tan(x)cos(x) + sin(x)sec(x)sec(x)csc(x)
- Q Find the exact value of cos ?/3, expressing your answer with a rational denominator.
- Q A) Find the exact value for each, given the information.B) In which quadrant is the angle (a + B)?sin a = -4/5 and cos b = 12/13 ; a &...
- Q A hot-air balloon is floating above a straight road. To calculate their height above the ground, the balloonists simultaneously measure the angle of depression to two consecutive mileposts on the...
- Q You are flying a kite on a line that is 350 feetlong. Let's suppose the line is perfectly straight(it never really is) and it makes an angle of 65degrees with...
- Q To be used safely, a ladder should make no more than a 70 angle with the ground. What is the maximum height a 32 ft ladder can reach? Round answer...
- Q Evaluate (if possible) the six trigonometric functions of the real number t. (If an answer is undefined, enter UNDEFINED.)t = 7?/4
- Q Evaluate (if possible) the sine, cosine, and tangent at the real number t. (If an answer is undefined, enter UNDEFINED.)t=-11?/6
- Q A wire is tied from the top of a telephone pole to a stake in the ground. If the stake is 12 ft from the bottom of the pole and...
- Q 3. Mr. Jones observes that the angle of elevation to the top of a nearby building is 41.5. After moving back a distance of 265 feet from the building, he...
- Q A ship leaves the Boston Harbor and travels at a bearing of 52 for 200 miles and then changes course and travels for an additional 80 miles at a bearing...
- Q Jacksonville, Florida is due south of Charleston, West Virginia. Find the distance between Jacksonville (3020') and Charleston (3821'). Assume that the radius of the Earth is 3960 miles. Round your...
- Q The rod on a pump rises and falls as the pump operates. Function /gives the height of the top of the rod above the pumping unit in feet, L(t), as...
- Q The average monthly temperature, T, in degrees Celsius, for any month m, for the town of Someplace, is modeled by the function T(m) = 19.1 sin(3?/9 x) + 7.5.a. What...
- Q The angle of depression from the top of a tower to a boulder on the ground is 38. If the tower is 25 m high, how far from the base...
- Q Jan and her brother Mel go to different schools. Jan goes 6 kilometers east from home. Mel goes 8 kilometers north. How many kilometers apart are their schools? 9.75 kilometers...
- Q Two ships leave the same port at the same time. The Explorer is traveling at a bearing of N 17 W at43 miles per hour and the Adventurer is traveling...
- Q All 3 medians of a triangle will have the same length.TrueFalse
- Q A skyscraper is 396 meters tall. At a certain time of day, it casts a shadow that is 332 meters long. At what angle is the sun above the horizon...
- Q Use a symmetry test to determine which of the following equations demonstrate ? = symmetry. Select all that apply.Select all that apply:
- Q Find the exact value of sin?/12 using the half-angle identity. Support your answer with a calculator approximation.
- Q Airports A and B are 462 km apart, on an east-west line. Jim flies in a northeast direction from A to airport C. From C he flies 353 km on...
- Q Given that cos?= 2/3 and 0 < ? < ?/2, determine the exact value of cos ?/2
- Q A particular sound wave can be graphed using the function y = sin4x. Find the amplitude and period of the function.a. amplitude = 1, period= (1/2)pb. amplitude = 2p, period=-1c....
- Q Use radian measure and enter your answers using at least four significant digits.(b) Determine all solutions for csc(?)=2Solutions with base angle in quadrant I: ?=Solutions with base angle in quadrant...
- Q The Cartesian coordinates of a point are given.(a) (-7,7)(i) Find polar coordinates (r, ?) of the point, where r> 0 and 0 ? ?< 2?(r,?) =(ii) Find polar coordinates (r,...
- Q Insert the proper sign, > or < or =, between the given expressions. Explain your answer.cos 0 3 cos 60Because cos 0 = and 3 cos 60 =, the correct...
- Q Given that the point (160, -36) is on the terminal side of an angle, ?, find the exact value of the following:sin(?)=cos(?)=tan(?)=csc (?)=sec (?)=cot (?)=
- Q Without using a calculator, compute the sine and cosine 5?/3 of by using the reference angle.What is the reference angle?In what quadrant is the original angle?
- Q Use the unit circle, along with the definitions of the circular functions, to find theexact values for the given functions when s= -2?.sin (-2?), cos (-2?), tan (-2?)
- Q 1. Suppose sin(A) = 3/4 Use the trig identity sin (A) + cos (A) = 1 and the trig identity tan(A) = sin(A)/cos(A) to find tan(A) in quadrant II. Round...
- Q Find values of the trigonometric functions of the angle (in standard position) whose terminal side passes through the given point.(21,72)sin (= (Type an exact answer in simplified form.)cos (= (Type...
- Q A flag pole 25 feet tall casts a shadow 50 feet long at a certain time of day. Find, to the nearest degree, the angle of elevation of the sun...
- Q Find the exact value of the following expression without using a calculator.COS x/6(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)COS x/6
- Q On separate sets of axes, graph each of the following equations. If you do not remember any shortcuts for graphing, you can always make an x?y table.a. y=-2x +7 b....
- Q Verify which of the following are trigonometric identities.1) 1 + cos ? / [cot? (1-sin?)]= 12 sec ?2) 18 cos ?[(1/ cos ?)-(cot?/csc?)]=18 sin ?Both the equations are identities.Only the...
- Q Find the exact value of cos? , given that sin ?=12/13 and ? is in quadrant II. Rationalize denominators when applicable.Select the correct choice below and, if necessary, fill in...
- Q Find all solutions of the trigonometric equation.2 cos (t) =1(Give your answer in the form of a comma-separated list if needed. Express numbers in exact form. Use symbolic notation and...
- Q The shadow of a vertical tower is 65.0 ft long when the angle of elevation of the sun is 30.0. Find the height of the tower.
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