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lutik1710 [3]
4 years ago
15

A horse ran 800 m and 40 seconds 1200 meters in 60 seconds and 480 m in 24 seconds is a proportional relationship if so what is

the constant of proportionality what does it represent random question to represent the distance do you in meters that the horse friends and T seconds
Mathematics
1 answer:
SVETLANKA909090 [29]4 years ago
7 0

Answer:

Step-by-step explanation:

Speed = distance travelled/time

A horse ran 800 m in 40 seconds. This means that the speed is

800/40 = 20 m/s

The horse ran 1200 m in 60 seconds. This means that the speed is

1200/60 = 20 m/s

The horse ran 1200 m in 60 seconds. This means that the speed is

480/24 = 20 m/s

Since the horse's rate or speed is the same at each scenario, it means that the relationship between the distance covered by the horse and the time taken is proportional.

Let k represent the constant of proportionality. The constant of proportionality is 20. It represents speed of the horse.

Let d represent the distance in meters.

Let t represent the time in seconds.

Therefore

d = 20t

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Island A is 250 miles from island B. A ship captain travels 260 miles from island A and then finds out he is off course and 160
elena-14-01-66 [18.8K]

CHECK THE COMPLETE QUESTION BELOW

Island A is 250 miles from island B. A ship captain travels 260 miles from island A and then finds that he is off course and 160 miles from island B. What bearing should he turn to, so he is heading straight towards island B?

A. 111.65

B. 119.84

C. 21.65

D. 135.53

Answer:

OPTION A IS CORRECT

A. 111.65

Step-by-step explanation:

This question can be explained using a triangle, let us say triangle ABD

and let us say A and B represent the islands and D is the particular point from where the captain is standing at a distance of 160 miles from B island .

We will be making use of cosines rule to calculate our angles, and we know that from cosine rule

D² = a² + b² -2abCosD

Where, a= 160 b = 260 and d = 250 then we can substitute in order to calculate our angles

250²= 60² + 260² - 2(160*260)Cos(D)

62500= 625600+ 67600- 83200CosD

83200CosD= 25600+ 67600 - 625600

83200CosD= 30700

CosD= 30700/83200

CosD= 0.369

D= cos⁻¹ (0.369)

D=68.35

Therefore, the angle inside the triangle is 68.35°

Now we can now find the bearing the captain supposed to turn , if he is heading to island B which will be the external angle of the triangle, but we know that The external angle =180°(supplimentary angles )

Then the angle he would turn will be external angle of the triangle - 68.35°

= (180 - 68.35)

= 111.65°

Therefore, the bearing the captain should turn is 111.65° for him to be heading straight towards island B.

7 0
3 years ago
In addition, what is the inverse
insens350 [35]

Answer:

it is

-3/7=3/7

brainliest s

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5 0
2 years ago
Which term best describes the statement given below?
GarryVolchara [31]
B is as it is a logical form of reasoning. if a=50, b=30, c=20
if a > b and b > c then a > c
3 0
3 years ago
Read 2 more answers
What two facts can you double to Find 8×4
vitfil [10]
4 is equal to 2*2 (double the 2 is 4)
7 0
3 years ago
12/16 - 7/18 in simplest form​
Ivan

Answer:

The answer is \frac{13}{36}

Step-by-step explanation:

The formula is:

\frac{a}{b} -  \frac{c}{d}  =  \frac{ad - bc}{bd}

In this case :

\frac{12}{16}  - \frac{7}{18} =  \frac{12 x 18 - 16x17}{16x18} = \frac{216 -112 }{288} = \frac{104}{288}

To get the simples form notice both 104 and 288 are divisible by 8 and 104/8 = 13 and 288/8 = 36.

Thus \frac{104}{288} = \frac{13}{36}

6 0
3 years ago
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