The perimeter of each is the sum of the lengths of its sides.
Triangle Perimeter = 16 + 4x-3 +3x = 7x+13
Square Perimeter = 2x +2x +2x +2x = 8x
If these are equal, you have
![7x+13=8x\\\\13=x\qquad \mbox{subtract 7x}\\\\26=2x\qquad \mbox{multiply by 2}](https://tex.z-dn.net/?f=7x%2B13%3D8x%5C%5C%5C%5C13%3Dx%5Cqquad%20%5Cmbox%7Bsubtract%207x%7D%5C%5C%5C%5C26%3D2x%5Cqquad%20%5Cmbox%7Bmultiply%20by%202%7D)
The length of a side of the square is 26 units.
The amount of radioactive material that would remain by the 7th hour of decay is 0.12 grams.
<h3>
Exponential function</h3>
An exponential function is in the form:
y = abˣ
where y,x are variables, a is the initial value and b is the multiplicative factor.
Let y represent the amount of substance remaining after x hours. Hence:
a = 9375, at x = 4, y = 15:
15 = 9375(b)⁴
b = 0.2
y = 9375(0.2)ˣ
For the 7th hour, x = 7:
y = 9375(0.2)⁷ = 0.12
The amount of radioactive material that would remain by the 7th hour of decay is 0.12 grams.
Find out more on Exponential function at: brainly.com/question/12940982
Answer:
57.5
Step-by-step explanation:
if you break it down into smaller shapes, there's a semicircle, three triangles and a rectangle.
circle πr² = π 2² = 4π² = 39.5
triangle 1 bh = (3)(2) = 6
triangle 2 bh = (4)(1) = 4
triangle 3 bh = (2)(4) = 8
Add them all up to get total area
6 + 4 + 8 + 39.5 = 57.5