The diameter of a circle is 2 centimeters. What is the length of a 180° arc? Give the exact answer in simplest form.
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The length of the arc is:

Step-by-step explanation:

Notice that a circle of diameter 2 cm has radius 1 cm (half of the diameter).

Also notice that the length of the full circle (which corresponds to a arc, is the circumference length given by the known formula , so the arc subtended by half such angle (that is a angle would be:

Therefore with this info we get that:

the length of this 180° arc for a radius of 1 cm is =

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x