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lisov135 [29]
3 years ago
5

BRAINLIEST

Mathematics
1 answer:
Vlad [161]3 years ago
6 0

Answer:

C) [4,5]

Step-by-step explanation:

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A plane takes off from an airport and flies at a speed of 400km/h on a course of 120° for 2 hours. the plane then changes its co
butalik [34]

Answer:

Distance from the airport = 894.43 km

Step-by-step explanation:

Displacement and Velocity

The velocity of an object assumed as constant in time can be computed as

\displaystyle \vec{v}=\frac{\vec{x}}{t}

Where \vec x is the displacement. Both the velocity and displacement are vectors. The displacement can be computed from the above relation as

\displaystyle \vec{x}=\vec{v}.t

The plane goes at 400 Km/h on a course of 120° for 2 hours. We can compute the components of the velocity as

\displaystyle \vec{v_1}=

\displaystyle \vec{v_1}=\ km/h

The displacement of the plane in 2 hours is

\displaystyle \vec{x_1}=\vec{v_1}.t_1=.(2)

\displaystyle \vec{x_1}=km

Now the plane keeps the same speed but now its course is 210° for 1 hour. The components of the velocity are

\displaystyle \vec{v_2}=

\displaystyle \vec{v_2}=km/h

The displacement in 1 hour is

\displaystyle \vec{x_2}=\vec{v_2}.t_2=.(1)

\displaystyle \vec{x_2}=km

The total displacement is the vector sum of both

\displaystyle \vec{x_t}=\vec{x_1}+\vec{x_2}=+

\displaystyle \vec{x_t}=km

\displaystyle \vec{x_t}=

The distance from the airport is the module of the displacement:

\displaystyle |\vec{x_t}|=\sqrt{(-746.41)^2+492.82^2}

\displaystyle |\vec{x_t}|=894.43\ km

8 0
4 years ago
The product of six and a number is 72.
Art [367]

Answer:

12

Step-by-step explanation:

6 * x = 72

x = 72 / 6

x = 12

3 0
3 years ago
Read 2 more answers
Help!<br><br> If a sphere has a radius of 8mm, what is its volume? (Show work)
babymother [125]
The formula for the volume of a sphere is V = (4/3) * π * r³. Knowing this, we can plug in the radius:

V = \frac{4}{3} \pi *8^{3} \\ V = \frac{4}{3} \pi*512 \\ V = 2144.66

The sphere's volume is approximately 2144.66 mm^3.
7 0
3 years ago
In a 5/6 pound mixture of sand and gravel, 1/4 pound is gravel.
USPshnik [31]
<span>Total mass of mixture is given as 5/6 pound, in which 1/4 pound is gravel. Amount of sand in the mixture will be 5/6 - 1/4 = 7/12 So, the ratio of sand to that of gravel in given mixture is 7/12:1/4 = 7:3. i.e every 10 parts of mixture contain 7 parts of sand and 3 parts of gravel. If we are given 1-pound of same mixture, it will contain 1 * 3/10 pound gravel, i.e. 0.3 pound.</span>
8 0
3 years ago
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The farmer was packing oranges for shipping. He had 5,342 oranges to pack and each box holds 25 oranges. How many full boxes of
Elina [12.6K]

Answer:

213 or 213.68 or 214

Step-by-step explanation:

5342 divided by 25 it is 213.68 rounded it would be 214 but its only asking for the full boxes so it may be 213

7 0
3 years ago
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