<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>
Answer:
21
Step-by-step explanation:
14+7=21.
You do this to allow you to get that outcome, because you know 7*7=49.
Therefore 21-14=7
7*-7=49
Answer: The answer is C 4:7
Step-by-step explanation:
Hopes this helps
Answer:
B: 6 to the 10th over 7 to the 6th
Step-by-step explanation:
(6^5 / 7^3)^2
We know that (a /b) ^c = a^c / b^c
(6^5)^2 / (7^3)^2
We know that a power to a power is the powers multiplied a^b^c = a^(b*c)
6^ (5*2)/ (7^(3*2))
6^10/(7^6)
Since the bases are not the same, there is nothing else we can do
