Find a value of 0 in the interval [0°,90°] that satisfies the given statement. sin 0 = 0.89548894 0° Ꮎ (Simplify your answer. Type an integer or a decimal. Round to six decimal places if needed.)

Q: A high fountain of water is located at the center of a circular pool as shown in the figure below.…

A: Circumference of the pool is Angle of elevation at the bottom of fountain is Find:Height of the…

Q: The magnitude and direction of two forces acting on an object are 90 pounds, S52°E, and 80 pounds,…

A: The magnitude and direction of two forces acting on an object are 90 pounds S52E, and 80 pounds,…

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Q: Solve cos2x = 0.75, where 0 ≤ x < 2π.

A: The objective of this question is to find the values of x that satisfy the equation cos^2(x) = 0.75,…

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A: To eliminate the parameter 't', we can find the value of 't' in the first equation and put it in the…

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A: The given graph is shown as,

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A: GivenTriangle is right angle triangle

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

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Q: 5π 1. Find the rectangular coordinates of the polar point, -5,- 2

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Q: 3 33 -2 x dx

A: The given integral

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

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A: We need to find out the integration.

Q: Let à = (1, -2) and 6 = (1,5). Find the angle between the vectors, in degrees.

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Q: Using the Law of Sines to solve the all possible triangles if ZA = 108°, a = 34, b = 12. If no…

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Q: Flagpole 6. Bill placed a mirror on the ground 5 m from the base of a flagpole. He stepped back…

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A: In this question, we need to determine the angle vector A and vector B.cos(θ)=

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

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

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A: Given: A graph of tone  is shown below.To Find: To determine algebraically the values of  for which…

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A: The given figure

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A: The given forces are

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Q: R 1 Find the interval, I, of convergence of the series. (Enter your answer using interval notation.)…

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Q: 14. What are the coefficients of xy20 and x¹7y9 in the expansion of (5x - y)25?

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A: The rotation of the smaller wheel in the figure causes the larger wheel to rotate. To determine the…

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: Solve sec¹(x) dx using Integration by Parts.

A: The given integral is sec7x.

Q: Two cities are 1800 km apart and lie on the same north-south line. The latitude of the northernmost…

A: Two cities are 1800 km apart and lie on the same north-south line. The latitude of the northernmost…

Q: Let a = (6, −3, −5) and b = (7, -2, 10) be vectors. (A) Find the scalar projection of b onto a.…

A: Let  be vectors.(A) To find the scalar projection of .(B) To decompose the vector  into a component…

Q: 6²x5² x5 dx

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

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A: Area bounded by the polar curve  is given by

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Q: 7) sin- - sin 5 7

A: Question No. (7):To evaluate the following expression.Note: Since you have posted multiple…

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A: Given that  and x in Quadrant I

Q: Find c if a = 2.35 mi, b = 3.28 mi and ZC = 41.9 degrees.

A: a=2.35mi,b=3.28mi and ∠C=41.9 degrees.

Q: Find all solutions if 0° ≤ ? < 360°. When necessary, round your answers to the nearest tenth of a…

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Q: Find the measure of d to the nearest degree.

A: We know that the formula of tan function is,(perpendicular)/(Base).

Q: (a) Use rotation of axes to show that the following equation represents a parabola. (Write the…

A: We have to use rotation of axes to show that given equation represents parabola.

Q: Find c if a = = 2.1 mi, b = 3.84 mi and ZC = 40.2 degrees. Enter c rounded to 3 decimal places. C =…

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Q: Find the direction of the resultant vector. (-4, 12) 13 (6,8) 0 = [?]° Round to the nearest…

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Q: For which R is (cos(V), sin(v)) = {(x, y) : x² + y² = 1}. Briefly justify your answer.

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Q: A helicopter flies 62 miles east, then turns and flies at an angle of 45° north of east for 199…

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Q: Find the standard form of the equation of the ellipse satisfying the given conditions.   ​Foci:…

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Q: 1) y = sinx +3 Period: Amplitude: Reflection: Phase Shift: Vertical Shift: Transformations: 2) y =…

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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: cos 2x= = √√₂ 2

A: Consider the equation