Answer:
The shortest side = 6
The third side = 9
The hypotenuse (the longest side) = 16
Step-by-step explanation:
First, let's establish the following based on the information given:
The shortest side = x
The third side = (x + 3)
The hypotenuse (the longest side) = (2x + 4)
The perimeter = 31
Since the perimeter is the total of all 3 sides, we are left with this equation:
(x) + (x + 3) + (2x + 4) = 31
From here, combine like-terms and solve for x.
(x) + (x + 3) + (2x + 4) = 31
(4x + 7) = 31
4x = 24
x = 6
Now that we know the value of x, we can apply this to the predetermined formulas to find the measurements of the remaining two sides.
The shortest side = 6
The third side = (x + 3) = 9
The hypotenuse (the longest side) = (2x + 4) = (2(6) + 4) = (12 + 4) = 16
To check, add all of the sides together to make sure they equal 31.
6 + 9 + 16 = 31
~Hope this Helps!~
Answer:
4x^2+11x+23 r53
Step-by-step explanation:
4x^3-3x^2+x+7 / x-2
2 | 4 -3 1 7
8 22 46
___________
4 11 23 53
This means 4x^2+11x+23 with a remainder of 53
Answer:
equilateral, isosceles, and scalene
Step-by-step explanation:
Answer:
$3,623.84 Exact answer without rounding | $3,623.85 ~ (Approximent Answer with rounding.)
Step-by-step explanation:
Compound Interest Has a Specific Formula:
This case is Exponential Growth.
Formula: y= ab^x
You need to set up the equation.
First we need to define the rate of growth meaning what do you have to do for the 6.5%.
You need to do 100% + 6.5% = 106.5%
You need to convert the percent to a decimal which will be 1.065
Now we need to start plugging things into our formula to solve.
Your initial Starting amount was $3000
So you need to have y=3000(b)^x
We now know that the rate of growth is 1.065 so the b would be 1.065
y=3000(1.065)^x
Our power to x is our 3.5 years.
Our Equation now:
y=3000(1.065)^3
Now you need to use a calculator to do this due to the amount of decimals and digits.
Remember pemdas when doing this!!!
The answer should result to $3,623.84 but if rounded then: $3,623.85
