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e-lub [12.9K]
3 years ago
11

AB=BC Find x: thank you ❤️

Mathematics
1 answer:
AURORKA [14]3 years ago
8 0

Answer:

x = 43

Step-by-step explanation:

3x - 31 = 2(x+6)

3x - 31 = 2x+ 12

x =43

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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
3 years ago
Which<br> sequence is modeled by the graph below? (6 points)
vovangra [49]
You haven’t put a picture of the graph
8 0
3 years ago
Question on image down below
denpristay [2]

Answer:

The temperature at sunrise was lower on the day in 2012 than on the day in 2013.

The difference between the 2012 and 2013 rates of temperature increase was 0.1 degrees per hour.

Both days had a constant rate of change in temperature per hour over the time periods shown.

Step-by-step explanation:

I don't know of that's right but . . .

5 0
3 years ago
Select the correct answer.
alex41 [277]

Answer:

Option B

Step-by-step explanation:

Average rate of change of a function 'f' in the interval x = a and x = b is given by,

Average rate of change of change = \frac{f(b)-f(a)}{b-a}

Given function is,

g(x) = \frac{5}{x-1}+2

We have to calculate the rate of change in the interval [-4, 3],

Average rate of change = \frac{g(3)-g(-4)}{3-(-4)}

g(3) = \frac{5}{3-1}+1

       = 2.5 + 1

       = 3.5

g(-4) = \frac{5}{-4-1}+1

       = -1 + 1

       = 0

Average rate of change = \frac{3.5-0}{3+4}

                                        = \frac{3.5}{7}

                                        = \frac{1}{2}

Therefore, Option B will be the answer.

4 0
3 years ago
The slope of a line perpendicular to y=-3x-4
Margarita [4]
<span>y=-3x-4
slope = 3
perpendicular to line then slope = 1/3

answer

</span>slope of a line perpendicular to <span>y=-3x-4 

</span><span>= 

1/3

</span>
7 0
4 years ago
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