Answer:
10657.5
Step-by-step explanation:
<h2>
Long way that is unnecessarily long</h2>
We can start by finding the area of the larger triangle. Using the Pythagorean theorem, we can say that 251²-105²=the bottom side², and 251²-105²=51976, so the bottom side of the larger triangle is √51976 , or approximately 228. Then, the area of the larger triangle is √51976 * 105/2 = 11969 (approximately). Then, the area of the smallest triangle (the largest triangle - the one that we're trying to find the area of) is 105*(√51976-203)/2 = approximately 1312. Then, subtracting that from the total area, we get (√51976 * 105 - 105*(√51976-203))/2 = 105*203/2 = 10657.5
<h2>Short way</h2>
ALTERNATIVELY, upon further review, we can just see that the height is 105 and the base is 203, so we multiply those two and divide by 2, as is the formula for the area of a triangle, to get 10657.5
You need to substitute 9 with every x value in the equation.
So, 3(9)^2-7(9)+11
p(x)= 191
Answer:
Step-by-step explanation:
3 + 2x + 1 = 2x + 3
2x + 4 = 2x + 3
4 ≠ 3
no solution
X and y
x=2y+9
x-y=22
*x is the larger number*
plug in x to solve for y
2y+9-y=22
y+9=22
-9 both sides
y=13
plug in y and solve for X
x=2 (13)+9
x=26+9
x=35
Marian will pay $472.50 for the sound system if she pays the full amount in one year.
Step-by-step explanation:
Given,
Money borrowed for sound system = $450
Interest rate = 5%
Amount of interest = 5% of money borrowed
Amount of interest = 
If she pays the amount in one year;
Total amount to be paid = Money borrowed + Amount of interest
Total amount to be paid = $450 + $22.50 = $472.50
Marian will pay $472.50 for the sound system if she pays the full amount in one year.
Keywords: interest, addition
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