Answer:
a = 33cm
b = 33cm
c = 11cm
Step-by-step explanation:
Let us say that the sides of the triangle are <em>a, b and c</em>
The perimeter of a triangle can be calculated by adding all three sides of the triangle.
Perimeter = <em>a + b + c</em>
<em />
Let side <em>c</em> be the shortest side of the triangle.
From the statement "Each of the two longer sides of the triangle is three times as long as the shortest side" we can have that
<em>a = 3c and b = 3c</em>
We can input these values into the perimeter of the triangle
Perimeter = <em>3c + 3c + c = 77</em>
<em>Perimeter = 7c = 77</em>
<em>c = 11</em>
The shortest side, c is = 11 cm
side a is 3 X 11 = 33cm
side b = 3 X 11 = 33 cm
Represent the unknown number with x
9x / 16 = 81
Multiply both sides by 16
9x = 1296
Divide both sides by 9
x = 144
Answer:
263.25 cm
Step-by-step explanation:
Answer:
cos x = 0.5
Step-by-step explanation:
Using the trigonometric identity
cot x = 
Given
sin x cot x = 0.5, then
sin x × = 0.5 ← cancel sin x on numerator/ denominator
cos x = 0.5
There are three things you have to know:
- A function is convex when its second derivative
- A function is concave when it second derivative
- The derivative of a power,
, is 
So, the first derivative is
and the second derivative is
This implies that the second derivative of a parabola is constant, and of course that 2 doesn't change the sign of 
.
