A) <span>Scale factor of the smaller pyramid to the larger pyramid in simplest form:
</span>6 m / 12 m = 1/2
b) <span>Ratio of the areas of the bases of the smaller pyramid to the larger pyramid:
</span><span>(1/2)^2 = 1/4 </span>
c) <span>Ratio of the volume of the smaller pyramid to the larger:
</span><span>(1/2)^3 = 1/8 </span>
d) <span>Volume of the smaller pyramid:
</span>(1/8) * 400 m^3 = 50 m^3
√65Explanation:(−5,1)=x1,y1(3,0)=x2,y2The distance is calculated using formula:'Distance =√(x2−x1)2+(y2−y1)2=√(3−(−5))2+(0−1)2=√(3+5)2+(−1)2=√(8)2+(−1)2=√(64+1)Distance =√65
Answer:
A possible number line is shown below.
Step-by-step explanation:
I-----------------I----------------I
0 1/3 1
<h3>
Answer: 280</h3>
Work Shown:
x = number of students in the 6th grade class
30% = 30/100 = 0.30
30% of x = 0.30x this is equal to 84 since "30% of the 6th graders are boys (and there are 84 boys in sixth grade)", so we say 0.30x = 84
Divide both sides by 0.30 to isolate x
0.30x = 84
0.30x/0.30 = 84/0.30
x = 280
So there are 280 students overall in the 6th grade class.
