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shutvik [7]
3 years ago
10

An airplane is traveling in the direction 20 degrees west of north at 700 ​km/hr. Find the component form of the velocity of the

​ airplane, assuming that the positive​ x-axis represents due east and the positive​ y-axis represents due north.
Mathematics
1 answer:
OLga [1]3 years ago
4 0

Answer:

  (-239.4, 657.8) km/h

Step-by-step explanation:

Measured CCW from the +x axis, the angle at which the airplane is traveling is 110°. Then the (x, y) components of the velocity vector are ...

  (700 km/h)(cos(110°), sin(110°)) ≈ (-239.4, 657.8) km/h

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Help solving this math
9966 [12]

Answer:

  1. 24 cm²
  2. 6400 -1600π ≈ 1373.45 square units

Step-by-step explanation:

1. You can look at this several ways.

It can be considered to be a stack of 1+2+3 = 6 squares that are 2 cm on a side, so have a total area of 6 × (2 cm)² = 24 cm².

You can lop off one of the squares sticking out and put it into the empty corner to form a 6 cm by 4 cm rectangle with an area of (6 cm)(4 cm) = 24 cm².

You can consider it to be a 6 cm square with 3 squares cut out of it that are 2 cm on a side: (6 cm)² -3(2 cm)² = (36 -12) cm² = 24 cm².

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2. The shaded area is the difference in areas of a square 80 units on a side and a circle of 40 units radius. If we let d represent the side dimension of the square, then the area formulas are ...

  Square area = d²

  Circle area = π(d/2)²

So the difference area is ...

  shaded area = d² -(π/4)d² = d²(1 -π/4)

For d=80, the shaded area is ...

  shaded area = 80²(1 -π/4) = 6400 -1600π ≈ 1373.45 square units

6 0
3 years ago
How can we find the volume of a cone? explain in brief .​
densk [106]

\sf volume \ of \ cone = \dfrac{1}{3} \pi r^2h     ** where "r" is radius and "h" is height **

\sf volume \ of \ cylinder=  \pi r^2h

\boxed{ \sf \tfrac{1}{3}} as it refers to the volume of cone being 1/3 of the the volume of cylinder

Hardest, example:

given height of cone is 69 km and radius is 48 km

using the formula:

\hookrightarrow \sf volume \ of \ cone = \dfrac{1}{3} \pi (48)^2(69)

\hookrightarrow \sf volume \ of \ cone = 52992\pi

\hookrightarrow \sf volume \ of \ cone = 166479.3 \ km^3

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Answer:

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Step-by-step explanation:

An object on the moon weighs 1/6th of its weight on earth. If the object weighs 12 lbs then it weighs 1/6(12) = 12/6 = 2 lbs. This can be applied to any object's weight using m = e/6.

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3 years ago
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I hope this helps.
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