Answer:
a, b, and c can be formed a triangle
The area of the triangle is 13385.87 square units.
Step-by-step explanation:
<em>Let us revise an important fact in any triangle</em>
- The sum of the lengths of the two shortest side must be greater than the length of the longest side
The length of the sides are a = 240, b = 132, and c = 330
∵ The two shortest sides are a = 240 and b = 132
∵ a + b = 240 + 132 = 372
∵ The longest side is c = 330
∵ 372 > 330
∴ a + b > c
∴ a, b, and c can be formed a triangle
<em>Let us revise the </em><em>Heron's formula</em><em> of the area of the triangle</em>
- Area = , where a, b,c are the lengths of the sides of the triangle, and
∵
∴
∴
∴
The area of the triangle is 13385.87 square units.
Answer:
what type of question is this
Answer:
a. k = 24 b. y =
Step-by-step explanation:
a. Find the value of the constant k
Since is a solution of d²y/dt² -10dy/dt + ky = 0, then must satisfy the equation.
So, d²y/dt² = and dy/dt =
So, d²y/dt² -10dy/dt + ky = 0
- 10() + k() = 0
- + = 0
- + = 0
- = -
So, k = 24
b. Find the general solution to this equation.
Since k = 24, our equation is
d²y/dt² -10dy/dt + 24y = 0
The characteristic equation is thus
m² - 10m + 24 = 0
Factorizing this we have
m² - 6m - 4m + 24 = 0
m(m - 6) - 4(m - 6) = 0
(m - 6)(m - 4) = 0
m - 6 = 0 or m - 4 = 0
m = 6 or m = 4
Since we have real roots for the characteristic equation, then, the general solution is
y =
A = 480
W = x
L = 11/5*x
therefore 480 = 11/5*x*x
480 = 11/5x^2
480*5 = 11x^2
2400/11 = x^2
However we can't have a negative width so width is
Sub this into the length equation to find length
Answer:
x^2 + 8x + 16
Step-by-step explanation:
x^y
an exponent is the the value of x, multiplied by x, for y times.
so, (x+4)^2 is the same as (x+4)*(x+4). Then you just simplify using FOIL.
F-first x*x = x^2
O-outer x*4 = 4x
I-inner 4*x = 4x
L-last 4*4 = 16
Now, you've got your quadratic equation. x^2 + 8x (because 4x+4x=8x) + 16