Answer:
8.49 inches
Step-by-step explanation:
x^2 + 7^2 = 11^2
x^2 + 49 = 121
X^2 = 121 - 49
x^2 = 72 (then take square root on both sides)
x = 8.49 inches
CENTRAL ANGLE:
<span>There are 32 passenger cars, so you want an angle equal to 1/32 of the full circle.
</span>
<span>The full circle in degrees is 360°, but you want radians. </span>
<span>The full circle in radians is 2π. </span>
<span>2π / 32 </span>
<span>= π/16 radians
</span>
<span>ARC LENGTH </span>
<span>The arc length would be 1/32 of the full circumference. I know you already asked and got answers for the full circumference. Divide that by 32.
</span>
<span>AREA OF SECTOR: </span>
<span>Ditto on this. You have the full area from a prior question. Now just divide it by 32</span>
Answer:
25%
Step-by-step explanation:
Let v, t be the current average speed and the time taken to reach the school respectively.
As distance = speed x time, so,
distance, d=vt...(i)
Let V be the new average speed in order to to take 20% less time than t.
So, time taken with speed V = t-20% of t = t- 0.2t= 0.8t
As distance is constant, so
d= V(0.8t)= 0.8Vt
hBy using equation (i), we have
0.8Vt = vt
0.8 V = v
V= v/0.8=1.25v
Therefore, the percentage increase in the average speed = 
=25%
Hence, the percentage increase in the average speed is 25%.
-x-29=13+2x
-29=13+3x
-42=3x
x=-14
