The lateral area is pi*r*s where s is the slant height of the cone. So in this case pi*r*s=12pi so the slant height s = 12pi / 2pi = 6. The height of the cone will be h = sqrt(6^2 - 2^2) by Pythagoras or h=sqrt(32) = 4*sqrt(2). Now for the volume: for a cone V = (1/3)*pi*r^2*h so here V = (1/3)*pi*2^2*4*sqrt(2) which gives us V = (16/3)*pi*sqrt(2) or answer A.<span>
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WHEN GRAPHING
Step 1. Convert to y = mx + b
- Equation 1: y = 3x/2 - 16/2
- Equation 2: y = -5 - 2x
Step 2. Graph like normal
- Find zeros & plot
- Find y-intercept & plot
Step 3. Shade as indicated by the inequality symbol
- > or ≥ = above line
- < or ≤ = below line
Step 4. If ≤ or ≥ ONLY, then also shade the line
FOR THIS PROBLEM
1. Graph each equation
2. Shade ABOVE line for each
3. Shade line first equation as well
Hope this helps and God bless!
Answer:
-1
Step-by-step explanation:
Tip: Remember to always start from the inside, which would be g(3), in this case.
The first step in solving this problem is to solve for g(3).
To accomplish this, you must substitute 3 for x into the given equation g(x) = x^2 - 10
- g(3) = 3^2 - 10
- g(3) = 9 - 10
- g(3) = -1
The next step is to substitute the answer of g(3), -1, for x in the given equation f(x) = 2x + 1.
Because the equation is asking for f[g(3)], it becomes f(-1) because g(3) = -1.
- f(-1) = 2(-1) + 1
- f(-1) = -2 + 1
- f(-1) = -1
Therefore, f[g(3)], or f(-1), equals -1
Answer:
I think is is .5 then add your label
Step-by-step explanation:
Step-by-step explanation:
180-120 = 60 which is the 2nd angle in triangle.
60+50+x = 180
x = 70
