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RoseWind [281]
3 years ago
15

Pairs of markings a set distance apart are made on highways so that police can detect drivers exceeding the speed limit. Over a

dice distance the speed R varies inversely with time T. In one particular pair of markings, R is 52 mph when T is 9 seconds. Find the speed of a car that travels the given distance in 6 seconds.
Mathematics
1 answer:
JulijaS [17]3 years ago
6 0

Answer:

Speed of car is 78 mph which travels the distance in 6 seconds.

Step-by-step explanation:

Given:

Speed of the car R = 52 mph

Time t = 9 seconds

We need to find the speed of a car that travels the given distance in 6 seconds.

Now first we will find the distance traveled by the car in 9 seconds.

Distance can be calculated by multiplying speed and time.

Distance = Speed \times Time = 52\times9 = 468 miles.

Hence Total distance travel by car is 468 miles.

Now we will find the speed of a car that travels the given distance in 6 seconds.

Speed can be calculate by dividing Distance by time.

Hence;

Speed = \frac{Distance}{Time}=\frac{468}{6}= 78 \ mph

Hence Speed of car is 78 mph which travels the distance in 6 seconds.

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svlad2 [7]

The true statement relating to a property of the function y =sin x is that the maximum and minimum values of the function are 1 and -1 respectively. Option B

<h3>Properties of the function</h3>

The following are the properties of the sin trigonometric ratio of the function;

  • The sine graph rises till +1 and then falls back till -1 from where it rises again.
  • The function y = sin x is an odd function
  • The domain of y = sin x is the set of all real numbers
  • The range of sine function is the closed interval [-1, 1]
  • The amplitude of the function is half its range value
  • One cycle of the function is 6. 28

From the above listed deductions, we can see that the true statement about the function y = sin x is that the range which is always known as the maximum and minimum values of the function are 1 and - 1 respectively.

Thus, the true statement relating to a property of the function y =sin x is that the maximum and minimum values of the function are 1 and -1 respectively. Option B

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6 0
2 years ago
Find the value of Y in the figure above .
Blizzard [7]

9514 1404 393

Answer:

  • x = 37
  • y = 22

Step-by-step explanation:

Consecutive interior angles are supplementary.

  (x -20)° +(4x +15)° = 180°

  5x = 185 . . . . . . . . . . . . . . divide by °, add 5

  x = 37 . . . . . . . . . . . . divide by 5

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  74° +(5y -4)° = 180°

  5y = 110 . . . . . . . . . . . divide by °, subtract 70

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3 0
3 years ago
Help me please.
laila [671]
Disagree, the fractions are unequal and 10/15=66% while 15/20=75%
7 0
3 years ago
X + 24 + 4 + 63 = 180
Helen [10]

Answer:

x=89

Step-by-step explanation:

180-91=89

4 0
3 years ago
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How would I solve n^2=2n
lidiya [134]

Answer: n=0 or n=2

Step-by-step explanation: Step 1: Subtract 2n from both sides.

n²−2n=2n−2n

n²−2n=0

Step 2: Factor left side of equation.

n(n−2)=0

Step 3: Set factors equal to 0.

n=0 or n−2=0

n=0 or n=2

5 0
3 years ago
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