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Alexxandr [17]
3 years ago
12

The distance from Jacksonville to Tampa is 171 miles. The distance from Tampa to Miami is 206 miles. Use the triangle inequality

theorem to find the range for the distance from Jacksonville to Miami.
Mathematics
1 answer:
Natali [406]3 years ago
3 0
The triangle inequality theorem states that any side of a triangle is always shorter than the sum of the two other sides. 
That means if you add up the distance from jacksonville to tampa and the distane from tampa to miami, the distance from jacksonville to miami must be less than that. 

171 miles + 206 miles = 377 miles

the distance from jacksonville to miami must be less than 377 miles 
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PLEASE HELP ASAP!!!
MAVERICK [17]

Answer:

y - 2, 3, 4, 5

Hope this helps :)

3 0
2 years ago
What is the slope of the line passing (-3 ,4) and (2, -1)?
alexdok [17]

The slope is -1.

because the slope formula gives you (-1-4)/(2-(-3)) which is -5/5 which also is -1

5 0
3 years ago
Approximate the change in the volume of a sphere when its radius changes from r​ = 40 ft to r equals 40.05 ft (Upper V (r )equal
alexgriva [62]

Answer:

The change in the volume of a sphere whose radius changes from 40 feet to 40.05 feet is approximately 1005.310 cubic feet.

Step-by-step explanation:

The volume of the sphere (V), measured in cubic feet, is represented by the following formula:

V = \frac{4\pi}{3}\cdot r^{3}

Where r is the radius of the sphere, measured in feet.

The change in volume is obtained by means of definition of total difference:

\Delta V = \frac{\partial V}{\partial r}\Delta r

The derivative of the volume as a function of radius is:

\frac{\partial V}{\partial r} = 4\pi \cdot r^{2}

Then, the change in volume is expanded:

\Delta V = 4\pi \cdot r^{2}\cdot \Delta r

If r = 40\,ft and \Delta r = 40\,ft-40.05\,ft = 0.05\,ft, the change in the volume of the sphere is approximately:

\Delta V \approx 4\pi\cdot (40\,ft)^{2}\cdot (0.05\,ft)

\Delta V \approx 1005.310\,ft^{3}

The change in the volume of a sphere whose radius changes from 40 feet to 40.05 feet is approximately 1005.310 cubic feet.

7 0
3 years ago
What are composite for 48?
weqwewe [10]
<span> It can be divided by 8 and 6. 8x6=48.</span>
3 0
3 years ago
45°
ioda

Answer:

   x = \sqrt{\frac{7}{2} }

Step-by-step explanation:

<u><em>Explanation</em></u>

From given graph

          AC = √7

 Given angle ∝ = 45°

    cos\alpha = \frac{adjacentside}{Opposite side}

   cos45 = \frac{x}{\sqrt{7} }

      \frac{1}{\sqrt{2} } = \frac{x}{\sqrt{7} }

       x = \frac{\sqrt{7} }{\sqrt{2} }

      x = \sqrt{\frac{7}{2} }

     x = 1.8708

7 0
3 years ago
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