Find the area of the triangle below.
1 answer:
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The perimeter when 96 triangles are put together in the pattern shown below will be 98cm
Find the required triangle attached
In the diagram shown, we can see that we have 5 triangles.
The first thing we need to do is add one more triangle to have, six triangles,
Perimeter of the resulting 6 triangles = 6 + 2 = 8cm
For 8 triangles;
Perimter = 8 + 2 = 10cm
For "n" triangles;
Perimeter of n triangles = n + 2
Hence if 96 triangles are put together in the pattern shown below, hence
n = 96
Perimeter of the 96 triangles = 96 + 2
Perimeter of the 96 triangles = 98 cm
Hence the perimeter when 96 triangles are put together in the pattern shown below will be 98cm
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Answer:
The amount invested in bonds = 35,000
The amount invested in CD = 15,000.
Step-by-step explanation:
The total amount that Daniela invested is $50,000, this means if we call the amount invested in bonds , and the amount invested in CD
, then we have:
this says the total amount Daniela invested is $50,000.
And since the amount invested in bonds is $5,000 more than twice the amount Daniela put into the CD, we have:
.
Thus, we have two equations and two unknowns and
:
(1).
(2). ,
and we solve this system by substituting from the second equation into the first:
or, the amount invested in CD is $15,000.
With the value of in hand, we now solve for
from equation(2):
or, the amount invested in bonds is $35,000.