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Ghella [55]
3 years ago
12

Raymond has taken a position as the navigator on a speed boat racing team. The team entered a race that starts at Daytona Beach,

Florida. The first leg of the race course has them traveling due east for 140 miles. They turn right and travel 160 miles for the second leg of the race. They make another right turn to start the third and final leg of the race, in which they will travel 180 miles back to the starting point at Daytona Beach. What is the measure of the turn between the second and third legs of the race? Round your answer to the nearest degree.
Mathematics
2 answers:
puteri [66]3 years ago
8 0

the correct answer (on plato) is 48

Zolol [24]3 years ago
7 0
Wow. ok, I didn't expect this to be a triangle question.
You would need to use cosine to solve this.
Side 1: 160<span>     opposite angle: </span>58°
<span>Side 2: </span>180<span>     opposite angle: </span>73°
<span>Side 3: </span>140<span>     opposite angle: </span><span>48°</span>
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Identify the three similar right triangles in the given diagram.
irga5000 [103]

Answer:

B. ΔABD, ΔADC, ΔDBC

Step-by-step explanation

Step -1 In ΔABD and ΔADC (from figure).

∠DAB=∠CAD (common in both triangles) ,

∠DBA=∠CDA =90 degree, and

∠BDA=∠DCA (rest angle of the two triangles).

therefore ΔABD similar to ΔADC (by AAA similarity theorem).

Step -2 In ΔDBC and ΔADC (from figure).

∠DCB=∠ACD (common in both triangles) ,

∠DBC=∠ADC =90 degree, and

∠CDB=∠CAD (rest angle of the two triangles).

therefore ΔDBC similar to ΔADC (by AAA similarity theorem).

Step -3 In ΔABD and ΔDBC (from figure).

∠BDA=∠BCD (because , ∠ACD=ADB from stap-1 and ∠ACD=∠BCD from figure) ,

∠DBA=∠CBD =90 degree, and

∠BAC=∠BDC (rest angle of the two triangles).

therefore ΔABD similar to ΔDBC (by AAA similarity theorem).

In the above step- ΔABD similar to ΔADC, ΔDBC similar to ΔADC and ΔABD similar to ΔDBC.

Hence ΔABD, ΔADC, ΔDBC similar to each other in the given figure.

4 0
3 years ago
Without using technology, describe the end behavior of f(x) = 3x32 + 8x2 − 22x + 43.
mr Goodwill [35]
F(x) = 3x^32 + 8x^2 -22x +43

The ends of all the polynomials with even degree behave like quadratic functions.

Given the the coefficient of x^32 is positive, the function opens upwards. Then the two ends go up.
8 0
3 years ago
Read 2 more answers
Using the given points, determine the slope. (0, 32) and (100, 212)
Lerok [7]

Slope = (y2 - y1)/(x2 - x1)

Slope = (212 - 32)/(100 - 0)

Slope = 180 / 100

Slope = 18/10

Slope = 9/5

Answer

D. slope = 9/5



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3 years ago
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asambeis [7]
4y - 1 = 7    / + 1 ;
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Answer:

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Step-by-step explanation:

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6 0
3 years ago
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