Answer:
1. Volume of a cone: 1. V = (1/3)πr2h 2. Slant height of a cone: 1. s = √(r2 + h2) 3. Lateral surface area of a cone: 1. L = πrs = πr√(r2 + h2) 4. Base surface area of a cone (a circle): 1. B = πr2 5. Total surface area of a cone: 1. A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))
Step-by-step explanation:
1. Volume of a cone: 1. V = (1/3)πr2h 2. Slant height of a cone: 1. s = √(r2 + h2) 3. Lateral surface area of a cone: 1. L = πrs = πr√(r2 + h2) 4. Base surface area of a cone (a circle): 1. B = πr2 5. Total surface area of a cone: 1. A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))
Solution:
<u>It should be noted:</u>
- Opposite sides of a rhombus are always equal.
- Opposite angles of a rhombus are always equal.
<u>Thus:</u>
- (-y - 10) = 90°
- 3z - 3 = 90°
- 4x - 2 = 90°
<u>Finding x:</u>
- 4x - 2 = 90°
- => 4x = 90 + 2
- => 4x = 92
- => x = 23
<u>Finding y:</u>
- (-y - 10) = 90°
- => -y - 10 = 90°
- => -y = 100
- => y = -100
<u>Finding z:</u>
- 3z - 3 = 90°
- => 3z = 90 + 3
- => 3z = 93
- => z = 31
Answer:
f(g(x)) = x^4 + 12x^3 + 14x^2 -132x + 123
Step-by-step explanation:
Here, we simply will place g(x) into f(x)
So every x in f(x) is replaced by g(x)
Thus, we have;
(x^2 + 6x + 11)^2 + 2
= (x^2+6x-11)(x^2 + 6x -11) + 2
= x^4 + 6x^3 -11x^2 + 6x^3 + 36x^2 - 66x -11x^2 -66x + 121 + 2
= x^4 + 12x^3 + 14x^2 -132x + 123
Answer:
5/8
Step-by-step explanation:
8 children in class
3 have pink on
8-3 = 5
That means 5 do not have pink
Fraction that do not have pink
those that do not have pink/total
5/8
Answer:
I think its b
Step-by-step explanation:
