Answer:
Step-by-step explanation:
You have the following differential equation:
(1)
In order to find the solution to the equation, you can use the method of the characteristic polynomial.
The characteristic polynomial of the given differential equation is:
The solution of the differential equation is:
(2)
where m1 and m2 are the roots of the characteristic polynomial.
You replace the values obtained for m1 and m2 in the equation (2). Then, the solution to the differential equation is:
The answer is 112 centimeters.
As this problem represents a right triangle, here we need to apply the Pythagorean Theorem.
- h = √113² - 15²
- h = √12769 - 225
- h = √12544
- h = 112 centimeters
Total amount of money = amount Jenny receives + amount Bailey receives
$30 = 2j + j
30 = 3j
j = $10
The base of its triangular face of the triangular prism is found as 17.7 cm.
<h3>What is defined as the triangular prism?</h3>
- A polyhedron with two triangular bases as well as three rectangular sides is known as a triangular prism.
- It is a three-dimensional shape with three side faces but also two base faces that are connected by the edges.
The formula for the volume of triangular prism is;
Volume = base area x length
The base area of the triangular base.
The area of the triangle = 1/2 base×height
The given values are-
- volume = 2,354. 1 cubic centimeters.
- length = 19 cm
- height = 14 cm.
Thus, volume = base area x length
volume = 1/2 base × height × length
base = 2v/(height × length)
Put the values;
base = 2×2,354.1/(14 × 19)
base = 4708.2/(14 × 19)
base = 17.7 cm
Thus, the base of the triangular prism is found as 17.7 cm.
To know more about the triangular prism, here
brainly.com/question/16128664
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