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Mathematics

1 answer:

kicyunya [14]3 years ago

8 0

Answer:

so it 15

Step-by-step explanation:

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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

olya-2409 [2.1K]

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

$C=2\pi r = 32\pi$

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.

Solving for x, we have

$x = \dfrac{360\cdot 48}{32\pi} = \dfrac{17280}{32\pi} = 171.887338539\ldots \approx 171.9$

5 0

4 years ago

Please Help ASAP! I suck at geometry :(

ZanzabumX [31]

We know that for every 5 red bricks there were 2 gray bricks.

The total amount of red bricks and grey bricks in this sample is 7.

5 red bricks + 2 grey bricks = 7 bricks

Now, we divide 175 "total number of bricks used" by 7 "5 red bricks + 2 grey bricks = 7 bricks" and we will get a quotient of 25.

Now we know that 25 bricks is $\frac{1}{7}$ of the wall. The gray bricks are $\frac{2}{7}$ so we can multiply 25 by 2 and we will get a product of 50. If 1/7 = 25 grey bricks so 2/7 would be the grey bricks.