This shows clear step by step to constructing a square.
https://mathbitsnotebook.com/Geometry/Constructions/CCconstructionSquare.html
First option is the correct answer
Answer:
a. 7.64 km/h
b. 6.0°
c. see below
Step-by-step explanation:
a) The total velocity of the boat is ...
7i +(0.6i +0.8j) = 7.6i +0.8j
The magnitude of this velocity is the speed of the boat, relative to land. That is given by the Pythagorean theorem.
|7.6i +0.8j| = √(7.6² +0.8²) = √58.4 ≈ 7.642 . . . . km/h
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b) The angle of the total velocity with respect to the "i" direction (the direction of vector v) is ...
α = arctan(0.8/7.6) ≈ 6.009°
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c) The boat is headed in a direction 6° different from its velocity relative to the water. That may need to be accounted for if the boat is traveling any significant distance.
Answer:
volume = (Pi)(r^2)(height)
57.5 cm^3 difference in volume
Step-by-step explanation:
Assuming that the 3.5 cm and the 4 cm are diameters of the cans:
The radius of the baked beans can is one-half of the diameter and that would be 1.75 cm.
The radius of the soda can is one-half of the diameter and that would be 2 cm.
The formula for the volume of a cylinder is Pi times the radius squared times the height. (Pi)(r^2)(height)
Baked beans volume equals (3.14)(1.75^2)(11) = (3.14)(3.06)(11) = 105.78 cm^3
Soda can volume equals (3.14)(2^2)(13) = (3.14)(4)(13) = 163.28 cm^3
The soda can has more volume so:
163.28 cm^3 minus 105.78 cm^3 equals 57.5 cm^3 difference in volume.
Answer:
The shape is plane, a rectangle
Step-by-step explanation:
The external figure, the cylinder is a rectangle in a two dimensional plane, so the cross section between two rectangles is also a rectangle
