Answer:
it is a right triangle
Step-by-step explanation:
confirm if it is a right triangle using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
12² + 35²
144 + 1225 = 1369
square toot of 1369 is 37
so
12² + 35² = 37²
Answer:
Step-by-step explanation:
Hello,
Thank you
Answer:
A(max) = (9/2)*L² ft²
Dimensions:
x = 3*L feet
y = (3/2)*L ft
Step-by-step explanation:
Let call "x" and " y " sides of the rectangle. The side x is parallel to the wall of the house then
Area of the rectangle is
A(r) = x*y
And total length of fence available is 6*L f , and we will use the wall as one x side then, perimeter of the rectangle which is 2x + 2y becomes x + 2*y
Then
6*L = x + 2* y ⇒ y = ( 6*L - x ) /2
And the area as function of x is
A(x) = x* ( 6*L - x )/2
A(x) = ( 6*L*x - x² ) /2
Taking derivatives on both sides of the equation we get:
A´(x) = 1/2 ( 6*L - 2*x )
A´(x) = 0 ⇒ 1/2( 6*L - 2*x ) = 0
6*L - 2*x = 0
-2*x = - 6*L
x = 3*L feet
And
y = ( 6*L - x ) /2 ⇒ y = ( 6*L - 3*L )/ 2
y = ( 3/2)*L feet
And area maximum is:
A(max) = 3*L * 3/2*L
A(max) = (9/2)*L² f²
Answer:
The Prime Factorization is:
2 x 7
In Exponential Form:
21 x 71
CSV Format:
2, 7
Prime Factors Tree
14
/ \
2 7
Prime[1] = 2, Prime[4] = 7
Step-by-step explanation:
You're right, it would be 36. (: since a triangle is equal to 180 degrees total, you add up 65 and 79, (144) and subtract it from 180, and you get 36! (: hope all is well and you pass.