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Ostrovityanka [42]
3 years ago
6

Solving a word problem involving rates and time conversion

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
7 0

Answer:

It takes 4.75 hours to travel 247 miles.

Step-by-step explanation:

This question is solved by proportions, using a rule of three.

A car travels at an average speed of 52 miles per hour.

This means that in 1 hour, the car travels 52 miles. How many hours for it to travel 247 miles?

1 h - 52 m

x h - 247 m

Applying cross multiplication

52x = 247

x = \frac{247}{52}

x = 4.75

It takes 4.75 hours to travel 247 miles.

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What is the value of the expression 0.6 x 0.8? Solve for the answer using an area mode
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Step-by-step explanation:

0.6m×0.8

=0.48m²

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Which of the following is 10 times what the 5 represents in 8,145
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Answer:

A

Step-by-step explanation:

5 in 8145 is in the ones place. Hence 10 times of that

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7. The length of a minute hand of a clock is 3.5cm. Find the angle it turns through if it
babymother [125]

Answer:

The angle it turns through if it  sweeps an area of 48 cm²   is   448.8°

Step-by-step explanation:

If the length of a minute hand of a clock is 3.5cm, to find the angle it turns through if it  sweeps an area of 48 cm, we will follow the steps below;

area of a sector = Ф/360  ×   πr²

where Ф is the angle,  r is the radius   π is a constant

from the question given, the length of the minute hand is 3.5 cm, this implies that radius r = 3.5

Ф =?   area  of the sector= 48 cm²    π = \frac{22}{7}

we can now go ahead to substitute the values into the formula  and solve Ф

area of a sector = Ф/360  ×   πr²

48   =  Ф/360  ×  \frac{22}{7} × (3.5)²

48 = Ф/360  ×  \frac{22}{7} ×12.25

48 = 269.5Ф / 2520

multiply both-side of the equation by 2520

48×2520 = 269.5Ф

120960 = 269.5Ф

divide both-side of the equation by 269.5

448.8≈Ф

Ф = 448.8°

The angle it turns through if it  sweeps an area of 48 cm²   is   448.8°

7 0
3 years ago
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