Find the length of AB
AB²=20²+15²
AB²=400+225
AB²=625
AB=25
then find AD and BD
20²=AD·25
400=AD·25
AD=16
15²=BD·25
225=BD·25
BD=9
now use the geometric mean theorem (name?) to find CD
CD=√(9·16)
CD=√144
CD=12 cm
7 + 14
7(1 + 2)
44 - 11
11( 4 - 1)
18 - 12
6(3 - 2)
70 + 95
5(14 + 19)
60 - 36
12(5 - 3)
100 - 80
20(5 - 4)
P = 3
n = 5
N = 15
<span><span><span>x </span><span>¯ </span></span> </span>
= 16
<span><span>SST</span> </span>
= <span><span>∑n(x−<span><span>x </span><span>¯ </span></span><span><span>) </span><span>2 </span></span></span> </span>
<span><span>SST</span> </span>
= <span><span>5(12−16<span><span>) </span><span>2 </span></span>+5(16−16<span><span>) </span><span>2 </span></span>+11(20−16<span><span>) </span><span>2 </span></span></span> </span>
= 160
<span><span>MST</span> </span>
= <span><span><span><span>SST</span><span>p−1</span> </span> </span>
</span>
<span><span>MST</span> </span>
= <span><span><span>160<span>3−1</span> </span> </span>
</span>
= 80
<span><span>SSE</span> </span>
= <span><span>∑(n−1)<span><span>S </span><span>2 </span></span></span> </span>
SSE = 4*4 + 4*1 + 4*16
= 84
<span><span>MSE</span> </span>
= <span><span><span><span>SSE</span><span>N−p</span> </span> </span>
</span>
<span><span>MSE</span> </span>
= <span><span><span>84<span>15−3</span> </span> </span>
</span>
MSE = 7
<span>F </span>
= <span><span><span><span>MST</span><span>MSE</span> </span> </span>
</span>
<span>F </span>
= <span><span><span>807 </span> </span>
</span>
= 11.429
Answer:
D. Brea lives the farthest from school
Step-by-step explanation:
The easiest way to go about this is to get them all to the same unit. Let's do meters :)
3 kilometers = 3,000 meters (Kai)
30,000 centimeters = 300 meters (Cal)
and then of course 30,000 meters is already in the correct unit (Brea)
Given all of this, you can easily tell that the answer is D
Answer:
Step-by-step explanation:
radius of the circle=12 cm / 2=6 cm
Area of the square=side²=(12 cm)²=144 cm²
Area of the circle=πr²=(3.142)(6 cm)²≈(3.142)*36 cm²≈113.112 cm²
Area of the four sides between the square and the circle=
=Area of the square - area of the circle=144 cm²-113.112 cm²=30.888 cm²
shaded area =30.888 cm²/4=7.722 cm²
Answer =7.722 cm²
