<u>Answer:</u>
Lengths of the sides (there are 3 sides in an equilateral triangle) of the base of prism is <u>5.72cm </u>each.
<u>Step-by-step explanation:</u>
As the base of triangular prism is equilateral:
∴ Area of base = (√ 3 / 4)× (side)²
According to question:
height of prism = height (side) of base
Volume of prism = 81 cm³,
∴ Volume of prism = Area of base x height
⇒ 81 cm³ = (√ 3 / 4)× (side)² × height ∵ side = height
⇒ 81 cm³ = (√ 3 / 4)× (side)³
⇒ 81 × (4/√3) cm³ = side³
⇒ ∛(81 × (4/√3) cm = side
⇒ side = <u>5.72cm</u>
-x⁴+ 6x³- 7x²- 4x - 4
Order from least to greatest exponent (the variable, which is x in this case, is always first by the way in terms of order, then integers). This point of this problem is essentially to just rearrange the original equation.
Answer:
2.70 hours to travel 180 mi.
Step-by-step explanation:
The distance traveled (d) varies directly as the time (t) of travel, by the following formula:
In which s is the velocity.
It takes 63 min to travel 70 mi.
So i am going to find the velocity in miles per minute
how many hours would it take to travel 180 mi?
I am first going to find the time in minutes, then divide by 60 to pass to hours.
It takes 162.16 minutes = 162.16/60 = 2.70 hours to travel 180 mi.
Answer:
Vertex: (1,-1)
Symmetry: x = 1
Step-by-step explanation:
y = 4x² - 8x + 3
y = 4(x² - 2x) + 3
y = 4[x² - 2(x)(1) + 1² - 1²] + 3
y = 4(x - 1)² - 1
In y = a(x - h)² + k,
(h,k) is the vertex
And a vertical line passing through the vertex is the line of symmetry, i.e x = h.
Vertex: (1,-1)
Symmetry: x = 1
Answer:
90
Step-by-step explanation:
its half
