A. ratio of areas = 2^2 /5^2 = 4/25
B 14^2 : 1 = 196:1
C. ratio of perimeters would be sqrt81 = 9 times
Answer:
option d is correct answer
9514 1404 393
Answer:
Step-by-step explanation:
Let x represent the amount invested at 14%. Then 5000-x is the amount invested at 9%. The interest earned is ...
(14%)x +(9%)(5000 -x) = 460
0.05x +450 = 460 . . . . . . . . . . simplify
0.05x = 10 . . . . . . . . . . . . . . subtract 450
x = 200 . . . . . . . . . . . . . . divide by 0.05
5000-x = 5000-200 = 4800
$200 was invested at 14%; $4800 was invested at 9%.
We know that these two angles are in the ratio 1:2 and add to 90 because they are complementary
So we can write the equation
x+2x=90
3x=90
x=30
So the first angle measure is 30
Since they are in the ratio 1:2, the second angle is twice 30 so 60
Hope this helps
Answer:
(a) 1.54 seconds, -0.26 meters
(b) approach 3 meters
Step-by-step explanation:
(a) The value of x that minimizes height is 1.54 seconds.
The minimum height is -0.26 meters.
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(b) For large x, the height appears to asymptotically approach 3 meters.
