Answer:
• lateral area: 36√3 square units
• total surface area: (36 +36√3) square units
Step-by-step explanation:
The area of an equilateral triangle of side length s is given by ...
A = (√3)/4·s^2
Your pyramid has four (4) such faces of side length 6 units, so the total (lateral) area of the triangular faces is ...
LA = √3·(6 units)^2 = 36√3 square units
___
Of course the area of the square base is simply the square of its edge length, so is ...
A = (6 units)^2 = 36 square units
That means the total surface area, the lateral area plus the base area, is ...
(36 +36√3) square units
Answer:
-4 ≤ y < ∞
Step-by-step explanation:
The graph shows the range (vertical extent) has a minimum value of -4, and includes all y-values greater than or equal to that value.
In interval notation, the range is [-4, ∞).
Answer:4600
Step-by-step explanation:
15% of 4000
15/100 x 4000
(15x4000) ➗ 100
60000 ➗ 100=600
4000+15% of 4000
4000+600=4600
A factor of the polynomial function is (d) x + 4
<h3>How to determine the factor of the function?</h3>
The solution of the cubic function f(x) are given as:
−4, 5/3, and 1.
This means that:
x = -4, x = 5/3 and x = 1
Set the above equations to 0
x + 4 = 0, x - 5/3 = 0 and x - 1 = 0
From the list of options, we have
(d) x + 4
Hence, a factor of the polynomial function is (d) x + 4
Read more about polynomial function at
brainly.com/question/20896994
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Angle (8x)⁰ and angle (2x+60)⁰ are congruent angles as corresponding angles.
So,
8x = 2x+60
8x - 2x =60
6x = 60
x=10
Answer C. 10