Answer:
Cube=150cm^2
Triangular Prism=228ft^2
Step-by-step explanation:
Cube

Triangular prism
Using these formulas

Solving for A


is continuous over its domain, all real

.
Meanwhile,

is defined for real

.
If

, then we have

as the domain of

.
We know that if

and

are continuous functions, then so is the composite function

.
Both

and

are continuous on their domains (excluding the endpoints in the case of

), which means

is continuous over

.
Answer:
Farmer Anne's land = 173 acres
Farmer Cassius = 519 acres
Farmer Mel = 1,557 acres
Step-by-step explanation:
Total acre = 2,249
Let
Farmer Anne's land = x
Farmer Cassius = 3x
Farmer Mel = 3(3x) = 9x
x + 3x + 9x = 2,249
13x = 2,249
x = 173
Farmer Anne's land = x = 173 acres
Farmer Cassius = 3x
= 3(173)
= 519 acres
Farmer Mel = 3(3x) = 9x
= 9(173)
= 1,557 acres
Therefore,
Farmer Anne's land = 173 acres
Farmer Cassius = 519 acres
Farmer Mel = 1,557 acres
Answer:
The correct answer: F (Scalene) and A (Acute)
Step-by-step explanation:
F. (Scalene): By definition, a scalene triangle is a triangle that has no equal sides, and no equal angles. This definition matches your given triangle, since it has no equal sides and angles.
A. (Acute): By definition, an acute triangle is a triangle in which all the internal angles are less than 90 degrees. This definition matches your given triangle, since all of the internal angles are less than 90 degrees.
The given triangle is not obtuse, equilateral, right, and isoceles.
It is <u>not</u> an <em>obtuse </em>triangle because none of the angles are greater than 90 degrees.
It is <u>not</u> an <em>equilateral</em> triangle because its sides are not equal.
It is <u>not</u> a <em>right</em> triangle because none of its internal angles measure 90 degrees.
And it is <u>not</u> an <em>isoceles</em> triangle because by definition, an isoceles triangle must have two equal sides. Your given triangle has no equal sides.