Answer:
A x = 3
Step-by-step explanation:
A = ½θR²
R = x
x = √(2Α/θ)
θ = (360 - 60)(π/180) = 5π/3 radians
x = √(2(15π/2) / (5π/3))
x = √(15π(3/5π))
x = √9
x = 3
Answer:
8 ft; 6 m; 28pi ft; 10pi mm
Step-by-step explanation:
1. Radius = diameter/2
16/2=8
Therefore, 8 ft
2. Diameter= radius * 2
3*2=6
Therefore, 6 m
3. Circumference = 2*pi*r
2*pi*14=28pi
Therefore, 28pi ft
4. Circumference = pi*d
Therefore, 10pi mm
I hope this helped and have a good rest of your day!
Answer:
142.1π in³
Step-by-step explanation:
Given that:
The radius (r) = 7 in
The slant height (y) = 25 in
Then the height (x) can be determined by using the Pythagoras rule:
y² = x² + r²
25² = x² + 7²
125 = x² + 49
125 - 49 = x²
x² = 76
x = √76
x = 8.7
The formula for the volume of a cone is;
= 1/3 πr²h
where;
height(h) is calculated as "x" from above = 8.7
Then;
= 1/3 × π × (7 in)² × 8.7 in
= 142.1π in³
Answer:
11-2x=x+2
-3x=9
x=-3
Step-by-step explanation:
y=11-2x
y=x+2
So we use the first equation to plug in for the second equation.
Then we solve for x and get the answer. Hope this helps. Thank you.
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