Answer:
250
Step-by-step explanation:
Hello There!
The prism shown is a pentagonal prism
And we need to find the lateral surface area ( pretty much area of everything except for the bases.)
We can calculate the lateral surface area by using this formula
where a (on the right hand side) equals the base edge length and h = height
(btw the 5 represents the number of sides)
so the base edge length of the shown figure is 5 and the height is 10
having found this information we plug it into the formula
so we can conclude that the lateral surface area of the shown pentagonal prism is 250 cm²
Answer:
second option
Step-by-step explanation:
Given
+ 6x² + 5 = 0
let u = x², then
u² + 6u + 5 = 0 ← in standard form
(u + 1)(u + 5) = 0 ← in factored form
Equate each factor to zero and solve for u
u + 1 = 0 ⇒ u = - 1
u + 5 = 0 ⇒ u = - 5
Change u back into terms of x, that is
x² = - 1 ( take the square root of both sides )
x = ± = ± i ( noting that
= i ), and
x² = - 5 ( take the square root of both sides )
x = ± = ±
= ±
×
= ± i
Solutions are x = ± i and x = ± i