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Ket [755]
3 years ago
12

Can someone please help I pay £100

Mathematics
1 answer:
Flura [38]3 years ago
3 0

Answer:

The new points to the triangle will be:
A(1,4)\\ B(1,1)\\ C(-1,1)

Step-by-step explanation:

Because the reflection point is at x=2, all x values will subtract their distances from x=2 to get their new values. The y values remain the same.

The starting values are:

A(3,4)\\ B(3,1)\\ C(5 ,1)

Point A is 1 unit away from x=2, so we'll subtract 1 from 2 to get the new x value: 2 - 1 = 1, so A(1,4).

 

Point B is also 1 unit away from x=2, so we'll subtract 1 from 2 to get the new x value: 2 - 1 = 1, so B(1,1).

Point C is 3 units away from x=2, so we'll subtract 3 from 2 to get the new x value: 2 - 3 = -1, so C(-1,1).

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a port and a radar station are 2 mi apart on a straight shore running east and west. a ship leaves the port at noon traveling no
Rom4ik [11]

Answer:

The rate of change of the tracking angle is 0.05599 rad/sec

Step-by-step explanation:

Here the ship is traveling at 15 mi/hr north east and

Port to Radar station = 2 miles

Distance traveled by the ship in 30 minutes = 0.5 * 15 = 7.5 miles

Therefore the ship, port and radar makes a triangle with sides

2, 7.5 and x

The value of x is gotten from cosine rule as follows

x² = 2² + 7.5² - 2*2*7.5*cos(45) = 39.04

x = 6.25 miles

By sine rule we have

\frac{sin A}{a} = \frac{sin B}{b}

Therefore,

\frac{sin 45}{6.25} = \frac{sin \alpha }{7.5}

α = Angle between radar and ship α

∴ α = 58.052

Where we put

\frac{sin 45}{6.25} = \frac{sin \alpha }{x} to get

\frac{x}{6.25} = \frac{sin \alpha }{sin 45} and differentiate to get

\frac{\frac{dx}{dt} }{6.25} = cos\alpha\frac{\frac{d\alpha }{dt}  }{sin 45}

\frac{15sin45 }{6.25cos\alpha } =\frac{d\alpha }{dt}  }= 3.208 degrees/second = 0.05599 rad/sec.

6 0
4 years ago
4 and 9 are the composite numbers and they do not have any common prime factor Their L.C.M. is 4×9 = 36 Find the L.C.M. of 9,10​
vova2212 [387]

Answer: 90

Step-by-step explanation:

9 and 10 do not have a common factor either, so their lcm is 9*10 = 90.

3 0
3 years ago
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Step-by-step explanation:

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