Answer:
41 feet
Step-by-step explanation:
We apply the theorem below:
If two similar triangles have a scale factor of a : b, then the ratio of their perimeters is a : b.
Let x be the perimeter of the smaller triangle
If the ratio of their heights is 6:5 and the perimeter of the larger triangle is 49.2 feet,
6:5=49.2:x
6/5=49.2/x
Cross multiplying
6x=49.2 X 5
6x=246
x=246/6=41
The perimeter of the smaller triangle is 41 feet
Answer:
At 7% $54,000
At 9% $156,000
Step-by-step explanation:
Let x be the amount invested at 7%, Then 2x + 48000 will be the amount invested at 9%
We know that:
7% = 0.07 & 9% = 0.09
So we can write the interest equation as follows:
0.07x + 0.09 (2x + 48000) = 17820
0.07x + 0.18x + 4320 = 17820
0.25x + 4320 = 17820
Subtracting 4320 from both sides of the equation we get:
0.25x = 17820 - 4320
0.25x = 13500
Dividing both sides of the equation by 0.25 we get:
x = 13500 / 0.25
x = $54,000 invested at 7%
&
2 x 54000 + 48000
= $156,000 invested at 9%
Hence the amount invested at 7% is $54,000.
& the amount invested at 9% is $156,000.
