Use a diagram to explain what is meant by the terms synodic month and sidereal month. If the sidereal month is equal to 27.3 days, estimate the length of the synodic month. Assume the year starts with a new moon and there are exactly 12 subsequent new moons in the year.

Q: Which unit of measurement is larger?

A: 1 rad = 57.3 degree. So for 1 rad we required 57.3 degree.  So 1 degree = (1/57.3) < 1 rad

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A: Given Data The length of the base or adjacent to angle theta is given as l = 3.80 m. The length of…

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A: Given data:  Length = 120 m Width = 90 m 1 m = 3.281 feet Required: The length and width in feet and…

Q: The Earth is approximately spherical, with a radius of 6.37x106 m. Calculate the surface area of the…

A: Solution: Given data, The earth is approximately spherical. The radius of earth (R)=6.37×10⁶ m…

Q: Put the following number in scientific notation, using the number of significant figures listed in…

A: Given : 235,000

Q: When you perform the following operations, how many significant figures should your answer have?…

A: Operation to be performed : (4.0005×105) + (8.000×102)

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A: Given data:One tropical year = 365.242199 daysThe number of seconds in a day = 24 x 60 x 60…

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Q: Each year, the radius of the moon’s orbit increases by about 3.8 cm. How does this change affect the…

A: Change in radius = 3.8 cm

Q: Glasgow, Montana is 1465.18 km north of Albuquerque, New Mexico on the same north-south line. If…

A: The given values are, x=1465.18 km NθAlb.=35.08° N

Q: An airplane flies 200 km due west from city A to city B and then 355 km in the direction of 30.5°…

A: Let us draw the diagram of the situation. AB = 200 km BC = 355 km

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A: From sept 22 to dec 22, the declination is,

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Q: The Earth is travelling around the sun at a speed of about​ 67,000 miles per hour​ [mph]. If it…

A: Change all unit in M.k.s. system

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Q: Suppose city A and city B are 834 km apart and lie on the same north-south line, and city A is to…

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Q: given that 4.82803 kilometers is approximately equal to 3 miles a) express the kilometer to mile…

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Q: An airplane flies 200 km due west from city A to city B and then 255 km in the direction of 29.5°…

A: Given that,An airplane flies from city A to B : 200 (km)And,In the direction of 29.5°  north of west…

Q: You leave your home and walk 2 km at an angle 60° north of east (i.e. your direction is 60° if east…

A: firstly we have to calculate the component of 2 Km in east direction i.e positive x direction, which…

Q: The Moon's diameter is 3.5 ✕ 106. What is the coefficient?   What is the exponent?   The length of a…

A: Given, Moon's diameter is 3.5 ✕ 106. and  length of a small mosquito is 3.5 ✕ 10−3 m.

Q: The Moon's diameter is 3.5 ✕ 106. What is the coefficient?   What is the exponent?   The length of a…

A: In the notation a×bc a is coefficient , b is base and c is exponent.

Q: Consider a rectangle with a measured width of ? = 9.6 ± 0.3 cm and a length of ? = 30.2 ± 0.7 cm.…

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Q: A distance is expressed as 9792.02 sft. What is the length in international feet? Express your…

A: Given, distance is expressed as 9792.02 sft U.S. survey feet.

Q: Problem 3: An infinite plane of charge with surface charge density n = 3.2 µC/m² has a…

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Q: Use the given information to answer the question. The weight of an object above the surface of the…

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Q: Here is a simple problem. Then we'll do one that requires a little more thought. The shape of a city…

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Q: A fence is built in the shape shown by the figure. The fence encloses a square area of side s plus a…

A: Write the formula for the area of the fence.

Q: The height of a certain hill (in feet) is given by h(x, y) = 10 (2xy - 3 x^2 - 4y^2 -18x +28y + 12),…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three sub…

Q: The length of cell A is 8×10^5 m. The length of cell B is 0.000004 m. What is the ratio of cell​…

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Q: A space shuttle was launched from the Earth to the moon. The average, or accepted, value of the…

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Q: Petrie flies 3,436 feet. How many miles has he flown? (5,280 ft = 1 mi) *include units on all…

A: Petrie flies= 3436 feet 1 mi= 5280 feet

Q: An airplane flies 200 km due west from city A to city B and then 275 km in the direction of 29.0°…

A: (a) The distance covered along west is dw=200 km+275 kmcos29.0°=440.52 km The distance covered along…

Q: Two points a and b on the same surface of the earth are on the same circle. If A has a latitude of…

A: Solution:   As per the given data,

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Q: Consider the following scenario, applications of trigonometry: Starting from an airport, an…

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Q: Imagine that the y-axis points north and the x-axis points east. (a) If you travel a distance r = 22…

A: a) Analyze the following figure. The x and y coordinates of the person’s position can be found as,…

Q: Label each vector with the correct description. a b 30 km, 78° south of east No matching description…

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