Trusses are frequently used to support roofs on buildings. The simplest type of roof truss is a triangle, as shown in the figure. One basic task when constructing a roof truss is to cut the ends of the rafters so that the roof has the correct slope. Use part (b) of the figure to determine the measure of angle B to the nearest degree.

Q: B D C *BAD=30° *DAC=40° BD=2[cm] ·0c = 3 [cm] Calculate B

A: The given figure

Q: Write the equation of a parabola with vertex at the origin and a focus of (0,3)

A: The objective of this question is to find the equation of a parabola with a given vertex and focus.…

Q: cos 2x= = √√₂ 2

A: Consider the equation

Q: The pressures caused by pure tones on the eardrum are sinusoidal The change in pressure P in pounds…

A:

Q: A light aircraft was traveling 108 miles per hour straight and level when the pilot measured a…

A: A light aircraft was traveling 108 miles per hour straight and level when the pilot measured a…

Q: A ball on spring is pulled 4 inches below its rest position and then released. After t seconds, the…

A:

Q: Find the direction of the resultant vector. (2,14) 13 w (13,4) 0 = [?]° Round to the nearest…

A: To find the direction of the resultant vector.

Q: Find the exact value of the expression. π 2 + tan

A:

Q: 32. Use a half angle formula to find the exact solution of sin 22.5°. 21

A: *Note – As per our company guidelines we are supposed to answer only first question. Kindly repost…

Q: For each vector, find the angle that the vector makes with the x-axis. Round your answers to the…

A: The objective of this question is to find the angle that each vector makes with the x-axis. This can…

Q: (a) Give the horizontal and vertical components. (b) Find |v||. (c) Graph v and interpret |v||. 15.…

A:

Q: arcsin (sin(58)) = [ 9

A:

Q: Consider an equilateral triangle of side 2 units. Looking at the 30-60-90 triangle made by the angle…

A:

Q: Write a polar equation for the graph below. Enter theta for if needec -6 -4 -3 -2 r(0) = 6 + 5 4 3 2…

A: The standard equation of the circle with center  and radius  is

Q: 12. Find the following: a) sin ¹(sin(3π/4)) b) tan(cos(-2/3)) c) sin¹(cos(4π/3)) d) sine = -4/7, e…

A:

Q: Let z = -2+ 3i.

A: z=−2+3i|z|=(−2)2+32|z|=4+9|z|=13

Q: Using the Law of Sines to solve the triangle if ZA = 43°, ZC = 67°, b = 12: LB is degrees; a= C= You…

A:

Q: Write the trigonometric expression in terms of sine and cosine, then simplify: sec(x) - cos(x)…

A: Sec(x) =

Q: To find the distance across a small lake, a surveyor has taken the measurements shown. Find the…

A:

Q: Find the area of the triangle ABC with the given parts. Round to the nearest tenth when necessary.…

A:

Q: Find csc(0), if cot (0): = csc (0) = 1 2 " within quadrant IV. Give a reduced answer in exact form.

A:

Q: The bearing from City A to City B is N 33° E. The bearing from City B to City C is S 57° E. An…

A:

Q: Solve triangle ABC subject to the given conditions. Round the lengths of sides and measures of the…

A: The Sine Rule:

Q: Determine the coordinates of the new point after a rotation of 25° about (0, 0) from the point (1,…

A: We need to find a new point after the rotation of  for the point (1,0).The values we used Note: The…

Q: ind theta to the nearest 10th degree If theta is greater than 0 but less than 360 Sec theta= -1.5547…

A: Given that  and  in Quadrant III

Q: Solve the trigonometric equation and leave the answer in radians sen x/2 = 0 The chapter is…

A:

Q: Eliminate the parameter t to find a Cartesian equation in the form x = f(y) for: [x(t) = 3t² ly(t) =…

A: x(t)=3t2y(t)=9+5t

Q: Calculate tg/tan of 32 knowing that cos64= 0,44.

A: Given that

Q: A plane is flying at 560 mph with a bearing of 300". A wind is blowing at 20 mph with a bearing of…

A: Explaning the formula in a clockwise and anti-clockwise direction:-

Q: 9. Domain, range, and period of sine, cosine, tangent functions. f the following

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Two cities have nearly the same north-south line of 92° W. The latitude of the first city is 29° N,…

A: Two cities have nearly the same north-south line of 110° W.The latitude of the first city is 23° N,…

Q: 1. What are the exact equations of these lines? 60° ++++ 135°

A: since you have posted multiple questions in this question which are not interlinked so i have solved…

Q: Find the exact value of the expression using the provided in formation. Find cos(s+t) given that cos…

A: To find the exact value of the expression  given that , with  in quadrant I and  with  in quadrant…

Q: Convert the Cartesian coordinate (5,6) to polar coordinates, 0 <0 < 2T r = Enter exact value. 0 =

A: To convert a rectangular co-ordinate (x,y) to polar form, use the following formulas

Q: Red aerial mini-flares are used by some boaters in an emergency. The flight of one brand of flare,…

A:

Q: 39. Find the dimension of the side p in the triangle PQR if q = 20, r= 18, and P = 78°. 40. Convert…

A: According to Bartleby guidelines, we are supposed to do only one question.  If you want more to be…

Q: b) the range of the function f(x) = 2sin3(x) + 4 is

A: As per our guidelines, we are supposed to answer only one question at a time. Since you have posted…

Q: The blade on a typical table saw rotates at 3700 revolutions per minute. Calculate the linear…

A:

Q: Find all solutions to 2 sin(0) = -1 on the interval 0 ≤0 Next Question

A: The given equation is,Divide both sides by 2

Q: Use a half-angle formula to find the exact value of sin 22.5°. sin 22.5° = 00 8

A:

Q: Use a half angle formula or formula for reducing powers to fill in the blanks in the identity below:…

A:

Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Foci: (-5,0),…

A: To find the standard form of the equation of the ellise satisfying the given conditions.

Q: blade on a typical table saw rotates at 3600 revolutions per minute. Calculate the linear velocity…

A:

Q: 3. Find the indicated power: B) [5(cos 29° +isin 29°)] A) Write answer in polar / trig form r(cos0+…

A: Note - As per our guidelines we are supposed to be answer only one question. Kindly repost other…

Q: Find all solutions in radians using exact values only. (Enter your answers as a comma-separated…

A: To find all solutions in radians using exact values only.

Q: Write the complex number in trigonometric form, once using degrees and once using radians. Begin by…

A:

Q: Let a=&lt;1,-3,5&gt; and b=&lt;-4,-3,k&gt; find k so that a and b will be orthogonal (form a 90…

A: The objective of this question is to find the value of 'k' such that the vectors 'a' and 'b' are…

Q: 3 = (in Quadrant-1), find 28 If cot(x) cos(2x) = (Please enter answer accurate to 4 decimal places.)

A:

Q: The pressures caused by pure tones on the eardrum are sinusoidal. The change in pressure P in pounds…

A: The given function equation is

Q: A curve with polar equation" = 31 4 sin 0+17 cos 0 represents a line. This line has a Cartesian…

A: