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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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vesna_86 [32]

Answer:

1. Trapezoid

2. Kite

3. Square, Rhombus

Step-by-step explanation:

Given - Use the properties of quadrilaterals to complete the statements.

To find - A ..... has exactly one pair of parallel sides.

             A ....... must have two pairs of adjacent sides congruent.

             A ........ must have all congruent sides.

Proof -

A Trapezoid has exactly one pair of parallel sides.

A Kite must have two pairs of adjacent sides congruent.

A Square, Rhombus must have all congruent sides.

Reason -

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  • A kite is a quadrilateral with exactly two pairs of adjacent congruent sides.
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  • A square can be defined as a rhombus which is also a rectangle . In other words, a square is a parallelogram with four congruent sides and four right angles.

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3 years ago
leontyne sings for $1,000 an hour. Her rate increases by 50 percent after midnight. If she sings one night from 8:30 pm until 1:
iren2701 [21]
From 8.30 pm to 12 : 00

Difference = 12 : 00 - 08:30 = 3 : 30

3 hours 30 minutes = 3.5 hours.

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For the 1 hour extra, 1 * 1500 = $1500

Total = $3500 + $1500 = $5000

She will be paid $5000
4 0
3 years ago
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