Wanting to invite Juliet to his party, Romeo is throwing pebbles at her window with a launch angle of 37° from the horizontal. He is standing at the edge of the rose garden 7.0 m below her window and 10.0 m from the base of the wall. What is the initial speed of the pebbles?

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A: Given that The 4.9 m long ropes of a swing make an initial angle of 12.2 degrees with respect to the…

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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A:

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Q: The body on the ( 30°) incline is acted upon by a force (P) inclined at ( 20° ) with the horizontal.…

A: According to question,θ=20°+30°   = 50°Perpendicular component,Pn=300 tan θ     =300 tan 50°     =…

Q: Find the measure of arc RQT. U 44° T V R 25 S

A: We have to find the angle

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A: Find your answer below

Q: Find the length of the equiangular spiral r = e° for 0 < 0 < . L =

A: Find the derivative r' with respect to θ. r=eθ for 0≤θ≤15π10a=0 , b=15π10r'=ddθeθ=eθ

Q: The bob of a 4 m pendulum describes an arc of circle in a vertical plane. If the tension in the cord…

A: Let us take the mass of the bob to be m and let the velocity at point  B be v.

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A:

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A: We have to find angles.

Q: Find the sope to the tangent Iine of the equation ,-y +ear (0,3) Hirt perform impl cit…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: A constant force of 5N (as pictured) does work and displaces the block 4 m.

A: Given,  a constant force of 5N does work and diplaces the block 4m.

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A: Solution

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A:

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A:

Q: Two ships are steaming straight away from a point O along routes that make a 120° angle. Ship A…

A: To determine the speed at which the ships are moving apart.

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A: Solve it

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A: Introduction: A differnetial equation has a form, dydx+p(x)y=q(x), where dydx is derivative of y,…

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A: answer is in next step

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A: Given information: Solman spots a squirrel 25ft away at a bearing of N32°W and before reacting…

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A: The combined weight as: F=0,-160, since gravity acts vertically downward. Also, the side of the hill…

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A: Here we use the basic equation of the ellipse.

Q: Exercises 37 and 38 refer to the baseball diamond (a square of side 90 ft) in Figure 16. Second base…

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Q: The radius of a sphere increases at a rate of 4m/sec. Find the rate at which the surface area…

A: Surface area of sphere is S= 4πr^2. And rate of change means derivatives.

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A: This question is related to simple pendulum.

Q: DA particle moves along a line with velocity IG ? at tim 4++3

A: To find the distance travelled by the particle for the given time period.

Q: Water is pumped into a sphere at a constant rate as seen on the figure.

A:

Q: A 360-kilogram go-cart is driven at a speed of 60 kilometers per hour around a circular racetrack of…

A: Given that r=12 mdsdt=60kmh=60×100060×60ms=600003600msm=360 kg

Q: What is the tangent ratio for zB? C B V5 A 1,

A: With respect to angle B, here, Altitude, a=2 Base, b=1 Hypotenuse, h=5

Q: Approximate the value of =dx, using two and three points Gauss Quadrature Vx+ A

A:

Q: A box of mass m=3.0kg slides down a smooth incline plane of 5.0m long with angle. Please find the…

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Q: The Strawhat pirates were running simultaneously at a constant speed of 30km/hr due north of their…

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Q: Diameter YZ is parallel to chord WX and mWX=50°. What is mXZ?

A: Circle

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A: Solution is in step 2

Q: A sod roller of radius 14.25 cm turns at 10 revo What is the linear velocity of the roller in meter…

A: Please refer to the image below

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.