A student who is driving home for the holidays averages 45.9 miles per hour.Show, using dimensional analysis, how long the trip would take if the student traveled a distance of 252 miles.

Q: Find the measure of each marked angle. Assume the lines are parallel. (2x-26)° (x+2) = O C (2x-26)°…

A: Alternate Interior Angle Theorem:- When two parallel lines are cut by a transversal, the resulting…

Q: 9. Using the formula cos A = √(1-sin² A); solve for sin A Page #

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Q: -6 -5 -4 b= 6 + 5 4 q The plot above is created with the parametric equations = a cos(bt) (x(t)…

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Q: To project the construction of a new industrial estate specialized in sustainable manufacturing…

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Q: 3x¹3 5,₁ X13 +39 + 3. Determine the exact radian measure of each angle. (a) 125° (b) 80° (c) 16° 4.…

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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: Evaluate the integral. √6²x5* dx

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Q: 6²x5² x5 dx

A: I=∫01x5xdxUsing the Power Rule∫xndx=xn+1n+1+C∫axdx=axln⁡a+C

Q: Find the lengths of side x and side y. Round your answers to the nearest hundredth, if necessary. X…

A: Given a Right angled Triangle ABC right angle at B with sides a,b and c.The Pythagorean theorem…

Q: An observer is on the Calgary Tower Observation Deck, 157.5 m above the ground. She estimates the…

A: The height of the tower is above the ground.The angle of depression is .The building is  away from…

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: (d) cos 23 9. Angle z is located in the second quadrant and angle y is located in the first quadrant…

A: 9.The given values  and , where  in the second quadrant and  in the first quadrant.f)The aim is to…

Q: J 6x cos(5x) dx

A: I=∫6xcos⁡(5x)dxUsing the Power Rule∫xndx=xn+1n+1+C∫cos⁡(ax)dx=1asin⁡(ax)+C

Q: 19. Find the amplitude of each trig function below:19a. 2 sin(3x), 19b. 3 cos(5x), 19c. −7 cos(4x)

A: The objective of this question is to find the amplitude of the given trigonometric functions. The…

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

A: To find the value of the following composite function.

Q: COS X w/x - 1 3 2

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Q: A forest ranger sights a fire directly to the south. A second ranger, 7 miles east of the first…

A: Let AB be the distance between first ranger and second ranger = 8 miles AF be the distance between…

Q: A roller coaster travels 80 ft of track from the loading zone before reaching its peak. The distance…

A: Let distance between the loading zone and the peak be..Given, .Let the horizontal distance between…

Q: Evaluate the integral using integration by parts with the indicated choices of u and div. (Use C for…

A: We need to find out the integration.

Q: Exercises 21-28: (Refer to Example 4.) Find the following. (a) sin(a + B) (c) tan (a + B) (b) cos (a…

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Q: Find the volume and the surface area of the figure. Assume a = b = 20 in. (Round the answers to two…

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

A: Sec(x) =

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

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

A: Given Trigonometric equation is as follows Formula used

Q: Use an addition or subtraction formula to find the exact value of sin 165° : VA(√B-1) 4

A: sin⁡165∘=A(B−1)4sin⁡(a+b)=sin⁡acos⁡b+cos⁡asin⁡b

Q: Solve the right triangle using the given information. a = 78.4 yd, b = 40.6 yd B a A σ

A:

Q: 38. Use De Moivre's theorem to evaluate z if the trigono- metric form of z is z = 2(cos 45° + i sin…

A: The given trigonometric form is .The aim is to find the standard form.De Moivre's theorem:.

Q: 5. Write the components of the following vectors: 5a. ˆı, 5b. −7ˆȷ, 5c. 4ˆı + 9ˆȷ, 5d. 5ˆı − 3ˆȷ.6.…

A: The objective of the question is to write the components of the given vectors and to express the…

Q: Consider the following. 409x² + 576xy + 241y² = 625 (a) Use the discriminant to determine whether…

A: The equation is given as,

Q: A ship leaves a pier on a bearing of S62" E and travels for 75 km. it then turns and continues on a…

A: From given statement.

Q: 시 n-0 (x-2)^ 77

A: ∑n=0∞(x−2)n7nGeometric Series Test∑n=1∞a1(r)n−1 converges if and only if…

Q: . Resultant Force Use the parallelogram rule to find the magnitude of the resultant force of the two…

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Q: I just need number 40 please thank you

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Q: Find the value of the function: Give the exact form of the answer. 7 (157) + arccos ( 25 )) cos…

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Q: increase at the constant rate of 2ft/sec. Q6. A pebble is dropped into a pond. The radius,r of the…

A: A pebble is dropped into a pond. The radius r of the first circular ripple is measuredto increase at…

Q: 7π Convert the polar coordinate 6, 6 coordinates. Enter exact values. X = y = to Cartesian

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Q: Solve the equation over the interval [0, 2). 2 sin² x = sin x

A: or  or (i)

Q: A Find cos 0 for triangle ABC below. 13 H 0 B

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Q: Evaluate the integral. 18 sin²(x) cos ³ (x) dx

A: Given Indefinite Integral is as follows As we know that

Q: Convert the rectangular equation to a polar equation that expresses r in terms of a. b. x² + (y −…

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Q: The Cartesian coordinates of a point are given. (a) (-6, 6) (i) Find polar coordinates (r, 8) of the…

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Q: Elmo standing in front of a building and  observes a sign that is 10 feet tall at the top. Refer to…

A: Elmo standing in front of a building and observes a sign that is 10 feet tall at the top.To…

Q: t=-2 t=-1 t=0 t=1 t=2 *=97² +9t, x=9t² +9t, y=3t+ 1 (x, y) = (x, y) = (x, y) = (x, y) = (x, y) =

A: Given that  Then, we have to find  for different value of t.

Q: Let theta be an angle in first quadrant with cos=a. Evaluate the following in terms of a.  Cos…

A: The objective of the question is to find the value of Cos (theta + 360°) in terms of 'a' when cos…

Q: If tan(x) tan(2x) = 7 26 (in Quadrant-I), find (Please enter answer accurate to 4 decimal places.)

A: ( in Quadrant - I ) .

Q: increase at the constant rate of 2ft/sec. Q6. A pebble is dropped into a pond. The radius,r of the…

A: The objective of the question is to find the radius of the ripple at different time intervals, the…

Q: Evaluate the integral using the indicated trigonometric substitution. (Remember the constant of…

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Q: write the complex number in trigonometric form r (cos 0 + sin 0), with in the inteval [0°, 360°).…

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Q: A company safety committee has recommended that a floodlight be mounted in a parking lot so as to…

A: A company safety committee has recommended that a floodlight be mounted in a parking lot so as to…

Q: Evaluate and write your answer in a + bi form. Round your decimals to the nearest tenth [5(cos…

A: We will use the following formulas.