Answer:
Its the last option.
Step-by-step explanation:
The function will rise from the left and descend to the right.
f(x) ---> -∝ as x ---> -∝ and f(x) ---> -∝ as x ---> ∝
The perimeter of the triangle is 40 units
<h3>Perimeter of a triangle</h3>
From the question, we are to determine the perimeter of the given triangle
From the given diagram, we can observe that the triangle is a right triangle
The vertical length of the triangle is 15 units
and the horizontal length of the triangle is 8 units
Thus,
We can find the hypotenuse by using the<em> Pythagorean theorem </em>
Let the hypotenuse be h
Then,
h² = 15² + 8²
h² = 225 + 64
h² = 289
h = √289
h = 17 units
Now, for the perimeter of the triangle
The perimeter of a triangle is the sum of all its three sides
Thus,
The perimeter. P, of the triangle is
P = 15 + 8 + 17
P = 40 units
Hence, the perimeter of the triangle is 40 units
Learn more on Calculating perimeter here: brainly.com/question/17394545
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Answer:

Step-by-step explanation:
Remember that the sides of a cube always have the same length.
In this case the length of the sides L is:
.
The cubes have 6 faces. Then the surface area of the cube is equal to the area of its 6 faces.
Since all sides of the cube have the same measure, then the area of each face is:

Then the area of the 6 faces is:



ANSWER

EXPLANATION
We want to solve the trigonometric equation

We group like terms to obtain,

Divide both sides of the equation by 3 to get,

We can reciprocate both sides to get,

We simplify the right hand side to get,

Since the tangent ratio is negative, it implies that it is either in the second quadrant or fourth quadrant.
In the second quadrant,


In the fourth quadrant,


Is one piece good? and how long is it?