<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:
90
Step-by-step explanation:
10! / (10 - 2)!
=10!/8!
=10 * 9 * 8! /8!
=90 * 8!/8!
90
Hope this helps. Please mark as brainliest if possible. Have a nice day
Answer:
- |t -(-5)| = 1.5
- [-6.5, -3.5] = [minimum, maximum]
Step-by-step explanation:
The magnitude of the difference between the temperature (t) and -5 will be 1.5 at the limits:
|t -(-5)| = 1.5
This is equivalent to two equations:
In each case, the equation is solved by subtracting 5 from both sides:
- t = -6.5 . . . . minimum allowed temperature
- t = -3.5 . . . . maximum allowed temperature
Answer: y = 3x^2 -x + 2
Step-by-step explanation:
