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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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Answer:

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Step-by-step explanation:

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For the given central angle, determine the distance traveled along the unit circle from the point (1, 0). 360 degrees a. 6.28 un
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Answer:

The length of a 180° arc of a unit circle is π ≈ 3.14 units.

Step-by-step explanation:

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on a piece of paper, graph y<-3/4x+2. Then determine which answer choice matches the graph you drew.
exis [7]

Answer:

  D.  Graph D

Step-by-step explanation:

The  "y <" tells you two things: (1) shading will be below the line, where y-values are less than those on the line, and (2) the line will be dashed, because the "equal to" case is not included.

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Raven makes lanyards to sell at the craft fair. Each lanyard requires 1.5 feet of. At the fabric store, fabric is sold by foot.
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Dave, Frida, Natalie, and Robbie have four adjacent seats at a baseball park. They randomly chose an order to sit in. Make a lis
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The sample space (list of outcomes) is:
DFNR; DFRN; DRFN; DRNF; DNFR; DNRF;
NFDR; NFRD; NRFD; NRDF; NDRF; NDFR;
RFDN; RFND; RNFD; RNDF; RDFN; RDNF;
FRDN; FRND; FNRD; FNDR; FDRN; FDNR

P(Dave beside Natalie) = 1/2
P(B,G,B,G or G,B,G,B) = 1/3
P(boys in the middle) = 1/6
P(Frida beside Natalie) = 1/2
P(Robbie between Frida & Natalie) = 1/6
P(Natalie between Dave & Robbie) = 1/6

Explanation
Letting D=Dave, R=Robbie, N=Natalie, and F=Frida you get the list of possibilites above.

For P(Dave beside Natalie), look for DN or ND.  This appears 12 times out of the 24 possibilities above; 12/24 = 1/2.

For P(B,G,B,G or G,B,G,B), we have the possibilities DFRN, DNRF, RFDN, RNDF, FRND, FDNR, NDFR, NRFD.  There are 8 possibilites out of 24; 8/24 = 1/3.

For P(Frida beside Natalie), look for NF or FN.  This appears 12 times out of the 24 possibilities; 12/24 = 1/2.

For Robbie between Frida and Natalie, look for FRN or NRF.  This appears 4 times out of 24; 4/24 = 1/6.

For Natalie between Robbie and Dave, look for RND or DNR.  This appears 4 times out of 24; 4/24 = 1/6.
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3 years ago
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