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Lapatulllka [165]
3 years ago
13

Mr. Austin is driving 390 miles to visit the Gateway Arch in St. Louis, Missouri. He dries at an average rate of 65 miles per ho

ur. How much time will it take Mr. Austin to get to the arch?
Mathematics
1 answer:
Lapatulllka [165]3 years ago
5 0

Answer:

the time needed to get to the arch is 6 per hour

Step-by-step explanation:

The computation of the time needed to get to the arch is shown below:

As we know that

Speed = distance ÷ time

where,

Speed is 65 miles per hour

And, the distance is 390 miles

So, the time is

= 390 ÷ 65

= 6 per hour

Hence, the time needed to get to the arch is 6 per hour

We simply applied the above formula so that the correct value could come

And, the same is to be considered  

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jeka94

Answer:

  • Maria–Ava: 15.7 feet
  • Lucas–Maria: 10.1 feet
  • angle at Maria: 50°

Step-by-step explanation:

The cosine and tangent functions are useful here. The relevant relations are ...

  Cos = Adjacent/Hypotenuse

  Tan = Opposite/Adjacent

__

The distance from Maria to Ava (ma) is the hypotenuse of the triangle, so we have ...

  cos(40°) = 12/ma

  ma = 12/cos(40°) ≈ 12/0.76604 ≈ 15.7 . . . feet

__

The distance from Lucas to Maria (ml) is the side opposite the given angle, so we have ...

  tan(40°) = ml/12

  ml = 12·tan(40°) ≈ 12·0.83910 ≈ 10.1 . . . feet

__

The angle formed at Maria's position is the complement of the other acute angle in the right triangle:

  M = 90° -40° = 50°

In summary, ...

  • Maria–Ava: 15.7 feet
  • Lucas–Maria: 10.1 feet
  • angle at Maria: 50°

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2 years ago
a plastic puzzle in the shape of a triangular prism has bases that are equilateral triangles with side lengths of 4 inches and a
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3 years ago
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A bag contains blue and yellow marbles. Two marbles are drawn without replacement. The probability of selecting a blue marble an
exis [7]
 blue marbles
y = yellow marbles
 Sum = b+y
 The <span>chance of a blue marble being drawn first is:
b / (b+y) = 0.55 
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</span>b / (b+y) * y / (b+y-1) = 0.37
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