Answer:
∠ CDB = 45°
Step-by-step explanation:
The measure of an inscribed angle is half the measure of its intercepted arc.
∠ CDB = 0.5 × BC = 0.5 × 90° = 45°
2x+8y=-32
8y=-2x-32
y=-1/4x-4
The slope is -1/4, the y-intercept is -4, and I can't graph it for you on here. Type my equation into a graphing calculator and it'll do it for you. (Desmos is a good online graphing calc, and it's free)
You can calculate polygon area with only apothem OR side length.
apothem only
area = apothem^2 * 6 * tan (180/6)
area = 10.4^2 * 6 * 0.57735
area = 108.16 *
<span>
<span>
<span>
3.4641
</span>
</span>
</span>
area =
<span>
<span>
<span>
374.677056
</span>
</span>
</span>
square yards
side length only
area = 6 * 12^2 * / 4*tan(30)
area = 864 / 4 * 0.57735
area = 864 /
<span>
<span>
<span>
2.3094
</span>
</span>
</span>
area =
<span>
<span>
<span>
374.1231488698
</span>
</span>
</span>
square yards
If apothem and side length were given with more precision, the answers would be closer.
Source:
http://www.1728.org/polygon.htm
Answer:
The temperature changed by 
overnight.
The temperature changed by 
overnight each hour.
Step-by-step explanation:
Given that:
Temperature at 7 PM last night = 
Temperature at 7 AM the next morning = 
a. The change in temperature from 7 PM to 8 AM = Temperature at 7 AM - Temperature at 7 PM
Negative sign indicates that the temperature has decreased.
b. Change in temperature each hour:
Divide the Change in temperature with the number of hours.
Negative sign indicates that the temperature has decreased.
