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blsea [12.9K]
3 years ago
6

ASAP PLEASE! A windshield wiper blade turns through an angle of 135 degrees. The bottom of the blade traces an arc with a 9-inch

radius. The top of the blade traces an arc with a 23-inch radius. To the nearest inch, how much longer is the top arc than the bottom arc? HELP
Mathematics
1 answer:
zysi [14]3 years ago
8 0

Answer:

33 inches to the nearest inch.

Step-by-step explanation:

Length of an arc = rC where r = the radius and C is the angle through which it turns in radians.

So for the 23 inch radius: length = 23 * 135 * π / 180

and for the 9 inch radius: length = 9 * 135 * π / 180

The difference =  23 * 135 * π / 180 - 9 * 135 * π / 180

= 14 * 135 * π / 180

=  32.99 inches.

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One winter morning the temperature was -2 C. By 11:00 am the temperature hd decreased by 3 degrees. At 4:00 pm reached 0 degrees
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Answer:

The temperature rose by 5 degrees celcius between 11 am and 4 pm

Step-by-step explanation:

Here in this question, we want to find the integer which represents the temperature change from 11 am to 4 pm.

Initially, in the morning, the temperature was -2 . By 11, it had decreased by 3 degrees. What this means is that the temperature went down further by 3 degrees.

Mathematically, the temperature at 11 will be -2-3 = -5 degrees celcius

Now at 4 pm, the temperature went from -5 to 0 degrees.

The temperature change between 11 am and 4 pm will be; 0-(-5) = 0 + 5 = 5 degrees celcius

This means that the temperature rose by 5 degrees celcius between 11 am and 4 pm

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-12 + 4 3/5 = -7.4 <--- decimal.

-6 2/7 + 3 1/14 = 3 3/14 <--- repeating decimal.

-2 2/3 + -3 3/4 = -6 5/12 <--- repeating decimal.

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I hope this helps you. It kind of helps me because, I wanna scream and cry and just stay in one room. So imma go outside and sit down.. and walk back to my room and scream into a pillow (っ◞‸◟c)

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