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1 year ago

Help, how do I do number 16??

Mathematics

1 answer:

seropon [69]1 year ago

3 0

Combine like terms Finding the next equation

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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

3 years ago

Which statement correctly compares the two functions? GIVING BRAINLIEST!!

geniusboy [140]

Answer:

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Find the value of x. 5x 130 O A. 10 O B. 36 O c. 26 O D. 18

DaniilM [7]

The answer would be 10 since 10 times 5 is 50 and a line equals 180 so the answer is A.10

5 0

2 years ago

Subtract. 5/9-(3 1/3) Enter your answer, as a mixed number in simplest form, in the box.

Vaselesa [24]

Answer:

$-2\frac{7}{9}$

Step-by-step explanation:

$\frac{5}{9} - 3\frac{1}{3} = \frac{5}{9} - \frac{10}{3} = \frac{5}{9} - \frac{30}{9} = -\frac{25}{9} = -2\frac{7}{9}$

I am joyous to assist you anytime.

3 0

3 years ago

You buy the following materials for the new extension. Calculate the cost of the bricks and cement and then work out the total c

bogdanovich [222]

Answer:

Cost of sand = £150

Cost of bricks = £157.5

Cost of cement = £134

Total cost = £441.50

Step-by-step explanation:

We are given that:

2 tonnes of sand is for £75.00 per tonne,

20 bags of cement are for £6.70 per bag,

350 bricks at 45p each,

So, 2 tonnes of sand at £75.00 per tonne = 2 * £75.00 = £150.00

20 bags of cement at £6.70 per bag = 20 * £6.70 = £134.00

350 bricks at 45p each = 350 * £0.45 = £157.50

Therefore, the total cost of all the materials = £150 + £134 + £157.5 = £441.50

7 0

2 years ago