Answer:
Surface area: 4323pi
Fill the box with the value "4323", as there is a "pi" after the box.
Step-by-step explanation:
We need to find the surface area of the cone (without the base) and the surface area of the semi sphere (without the base).
The surface area of the cone, without the base, is:
S1 = pi * r * s
Where s is the slant height.
To find s, we can use the Pythagoras' theorem with the radius and the height:
s^2 = h^2 + r^2
s^2 = 56^2 + 33^2 = 4225
s = 65
So the surface area is:
S1 = pi * 33 * 65 = 2145pi
Now, to find the surface area of the semi sphere, we just need to find half of the surface area of a sphere:
S2 = (1/2) * 4 * pi * r^2
S2 = 2 * pi * 33^2 = 2178pi
Finally to find the total surface area we just need to sum both surface areas:
S = S1 + S2 = 2145pi + 2178pi = 4323pi.
As after the box to answer there is a pi, we just need to fill the box with the value "4323"
TOMMY INITT TOMMY TOMMY TOMMY TOMMY PFP TOMMY PFP TOMMY PFP
Let <em>f(x)</em> = <em>x</em>³ + <em>x</em> - 5. <em>f(x)</em> is a polynomial so it's continuous everywhere on its domain (all real numbers). Since
<em>f</em> (1) = 1³ + 1 - 5 = -3 < 0
and
<em>f</em> (2) = 2³ + 2 - 5 = 5 > 0
it follows by the intermediate value theorem that there at least one number <em>x</em> = <em>c</em> between 1 and 2 for which <em>f(c)</em> = 0.
Answer:
See below.
Step-by-step explanation:
1/(x + 1) consists of 1 factor, 1/(x + 1)
1/[a(x + 1)] consists of two factors, 1/a and 1/(x + 1)
The LCM is 1/[a(x + 1)]
The LCD is a(x + 1)
I'd say around 10%
4 out of 10 = 40%
3 out of the 10 are sold = 30%
1 out of the 3 might be bad = 10%
I may be wrong.
