Answer:
SA = 1,176 ft².
Step-by-step explanation:
To find the surface area of the triangular prism, we can solve for the rectangular base, both triangular faces, and lateral sides separately.
For the rectangular base: (Use formula l×w)
20 × 18 = 360 ft²
For the triangular faces: (Use formula 1/2(b·h)
1/2(18 × 12) = 108 ft²
Since there are two faces, we need to double the amount.
108 × 2 = 216 ft².
Finally, solve for the lateral sides:
20 × 15 = 300 ft².
There are two sides, so:
300 × 2 = 600 ft².
Add up all of these areas:
600 + 216 + 360 = 1,176 ft²
(4x+2)²-3
16x²+4-3
16x²+1
Hope this helps :)
Answer:
3/4
Step-by-step explanation:
There are 4 cards total
The card not less than 6 are 6,7,8 = 3 cards
P( not less than 6) = number of cards not less than 6 / total
= 3/4
9x^2 - 16x + 60
Find the discriminant, b^2 - 4ac, which is the same as the value of the radicand.
(-16)^2 - 4 * 9 * 60 = -1904
Since the discriminant is negative, there will be NO real solutions, and 2 complex solutions.
Part B.
4x^2 + 8x - 5 = 0
You can tell if a quadratic is factorable if you find the discriminant and it is a perfect square. The discriminant for this quadratic is 144 so it is factorable.
(2x + 5)(2x - 1) = 0
Set each factor equal to zero.
2x + 5 = 0 2x - 1 = 0
subt 5 from both sides add 1 to both sides
2x = -5 2x = 1
divide both sides by 2 divide both sides by 2
x = -5/2 <span> </span> x = 1/2
