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
Answer: sqrt(19)/10
Step-by-step explanation:
sinx=0.9
x=arcsin(0.9)
Insert x for cos(x):
cos(arcsin(0.9)=
Use identify 
, so
Sorry if this is confusing.
The slope of any line can be calculated using the following rule:
slope = (y2-y1) / (x2-x1)
The given points are (-14,-10) and (7,5), therefore:
y2 = 5
y1 = -10
x2 = 7
x1 = -14
Substitute with these values to get the value of the slope as follows:
slope = (5--10) / (7--14) = 5/7
9514 1404 393
Answer:
(d) 9
Step-by-step explanation:
The relation you're supposed to apply here is ...
an exterior angle of a triangle is equal to the sum of the remote interior angles.
__
The exterior angle is 17x+7, and it is equal to the sum of the two marked angles inside the triangle.
17x +7 = 13x +3 +40
4x = 36 . . . . . . . . . . . . . subtract 13x+7 from both sides
x = 9 . . . . . . . . . divide both sides by 4
