<span>Answers:
(A) </span>Scale factor = 5/6 or 0.833
(B) Area ratio is 25:36
(C) Volume ratio is 125:216
(D) Volume of smaller pyramid = 9375m^3
<span>Explanation:
A) The formula for the scale factor for pyramids is:
Scale factor = Height of small pyramid/Height of large pyramid
</span>Scale factor <span>= 25/30
</span>Scale factor <span>= 5/6 or 0.833
B) </span><span> The ratio of the area of the base of the smaller pyramid to the larger pyramid = (25)^2/(30)^2 </span><span>
Hence area ratio is 25:36
C) </span><span>Ratio of the volume of the smaller pyramid to the larger = (25)^3/(30)^3
</span><span>
Therefore volume ratio is 125:216
D) Volume of smaller pyramid is 125/216 times the volume of the larger pyramid, from above,
Therefore volume of smaller pyramid=</span>125/216 * 16200 = 9375m^3
Answer:
-12p ^4
Step-by-step explanation:
4p^3 * -3p
-3 * 4 = -12
p^3 *p
use the math rule :
a^n * a^m = a^(n+m)
therefore
p^3 * p^1 = p ^(3+1)
= p^4
= <u>-12p ^4</u>
Set it up as a proportion:
369 / 36 = x / 32
Then solve for x
First, split the triangle into half.
So the angle 38 becomes 38/2=19.
So we know two angles in the triangle:
One is 19 degrees.
The other one is 90 degrees (marked red).
The angles in a right-angled triangle add up to 180 degrees.
So to find the x angle, we calculate it by:
180 - (90+19) = 71
(the sum of three angles) - (the sum of the two known angles) = unknown angle
So x = 71 degrees.