The area of the polygon with the given vertices is of 7.5 square units.
<h3>What is the area of a right triangle?</h3>
The area of a right triangle is given by half the multiplication of the lengths of it's sides.
The polygon in this problem is a right triangle with sides 3 and 5, hence the area is given by:
A = 0.5 x 3 x 5 = 7.5 square units.
More can be learned about the area of a right triangle at brainly.com/question/17335144
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Answer:
60°
Step-by-step explanation:
∠B=(240-120)/2=120/2=60°
Answer:
StartFraction StartRoot 3 EndRoot Over 3 EndFraction
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
we know that
In the right triangle XYZ
---> adjacent side divided by the hypotenuse
substitute the values
Remember that
so
substitute
step 2
--> opposite side divided by the hypotenuse
substitute the values
Remember that
so
step 3
--> opposite side divided by adjacent side
substitute the values
Simplify
so
StartFraction StartRoot 3 EndRoot Over 3 EndFraction
Answer:
195.75
Step-by-step explanation:
The function is
f(x) = (1/3)x² + 10x + 8
Write the function in standard form for a parabola.
f(x) = (1/3)[x² + 30x] + 8
= (1/3)[ (x+15)²- 225] + 8
= (1/3)(x+15)² -75 + 8
f(x) = (1/3)(x+15)² - 67
This is a parabola with vertex at (-15, -67).
The axis of symmetry is x = -15
The curve opens upward because the coefficient of x² is positive.
As x -> - ∞, f -> +∞.
As x -> +∞, f -> +∞
The domain is all real values of x (see the graph below).
Answer: The domain is (-∞, ∞)