Solve using the order of operations:(4.5+7.5)-8 divided by 2.6

Mathematics

1 answer:

Degger [83]2 years ago

3 0

Answer:

8.93

Step-by-step explanation:

(4.5+7.5)-8 ÷ 2.6

(4.5+7.5)= 12

12-8÷2.6

8÷2.6 =3.07

12-3.07=

8.93

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A car wheel has a radius of 16 inches. Through what angle ( to the nearest tenth of a degree ) does the wheel turn when the car

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First of all, let's convert all the measures to the same unit: 4 feet are 48 inches.

Now, as the wheel turns, there is a proportion between the angle and the distance travelled: for example, when the car moves forward a whole circumference, the angle will be 360°. Conversely, if the wheel turns 180°, then the car will move forward a distance which is half the circumference of the wheel, and so on.

Since the radius is 16 inches, the circumference will be

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So, we have the following proportion:

$360\div 32\pi = x \div 48$

that you can read as: "if an angle of 360 corresponds to a distance travelled of $32\pi$ , then the unknown angle x corresponds to a distance travelled of 48 inches.