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2 years ago

How do you find the bearing and speed of a ship?

1 answer:

3 0

Finding the Bearing of a Ship
Example : A ship leaves the port of Miami with a bearing of S80◦E and a speed of. 15 knots. After 1 hour, the ship turns 90◦ toward the south.

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Find the standard equation of the parabola that satisfies the given conditions. Also, find the length of the latus rectum of eac

lakkis [162]

Answer:

The standard parabola

y² = -18 x +27

Length of Latus rectum = 4 a = 18

Step-by-step explanation:

Explanation:-

Given focus : (-3 ,0) ,directrix : x=6

Let P(x₁ , y₁) be the point on parabola

PM perpendicular to the the directrix L

SP² = PM²

(x₁ +3)²+(y₁-0)² = $(\frac{x_{1}-6 }{\sqrt{1} } )^{2}$

x₁²+6 x₁ +9 + y₁² = x₁²-12 x₁ +36

y₁² = -18 x₁ +36 -9

y₁² = -18 x₁ +27

The standard parabola

y² = -18 x +27

Length of Latus rectum = 4 a = 4 (18/4) = 18

5 0

2 years ago

Convert 0.533333... to a fraction. (only the 3 is repeating) Please show the work!!

amm1812

Let x = 0.5333333333 ...

So 100x = 53.3333333333 ...
and 10x = 5.3333333333 ...
---------------------------------
90x = 53 – 5 = 48.

So x = 48/90 = 8/15 after reduction to lowest terms (by factor of 6)
0.3333... = ⅓. and that 0.5 = ½.

So 0.533333... = 0.5 + 0.0333333...0.5 + 0.3333.../10 = 1/2 + (1/3)/10 = 1/2 + 1/30 = 16/30 = 8/15

6 0

2 years ago

Tickets to a sporting event cost $125 each. What's a reasonable domain and range.

djverab [1.8K]

The domain and the range of a function is the set of input and output values of the function.

The domain is the set of all whole numbers.

The range is the set of all whole numbers.

Let the number of tickets be x, and the revenue be y.

So, the revenue function will be:

y = 125

The number of tickets cannot be less than 0.

So, the domain of the revenue function is

domain=0,∞

The above means that, the domain is the set of all whole numbers

Similarly, the revenue cannot be less than 0.

So, the range of the revenue function is

range = 0,∞

The above means that, the range is also the set of all whole numbers (in multiples of 125).

to know more about range and domain;

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3 0

11 months ago

what transformation was not done to the linear parent function f(x) to get the function (x)=-3(x+4)-7

Dominik [7]

Reflection over the x-axis, vertical shift scale factor 3, horizontal translation LEFT 3 units(opposite since there are parenthesis), vertical translation down 7 units.

3 0

2 years ago

All the common factors of 24, 64, 88

Alenkasestr [34]

All the common factors of 24, 64, 88 are 1, 2, 4, 8

8 0

2 years ago

Read 2 more answers