The volume of the cone is 84.9 km³
<h3>How to find the volume of a cone?</h3>
Volume of a cone = 1 / 3 πr²h
where
Therefore,
radius = 3 km
height = √9.5² - 3²
height = √81.25
height = 9.01387818866
height = 9.014 km
Volume of a cone = 1 / 3 × 3.14 × 3² × 9.014
volume of the cone = 254.732197612 / 3
volume of the cone = 84.9107325372
volume of the cone = 84.9 km³
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Answer:
x = 14.4
Step-by-step explanation:
x is sin(angle 24/30)×24
how do we get the angle at 24/30 ?
by using the extended Pythagoras for baselines opposite other than 90 degrees.
c² = a² + b² - 2ab×cos(angle opposite of c)
in our example the angle 24/30 is opposite of the side 18.
so,
18² = 24² + 30² - 2×24×30×cos(angle 24/30)
324 = 576 + 900 - 1440×cos(angle 24/30)
324 = 1476 - 1440×cos(angle 24/30)
1440×cos(angle 24/30) = 1152
cos(angle 24/30) = 1152/1440 = 576/720 = 288/360 = 144/180 = 72/90 = 36/45 = 12/15 = 4/5
angle 24/30 = 36.9 degrees
x = sin(36.9) × 24 = 14.4
Answer:
4.24
Step-by-step explanation:
First, let's set up the equation: 
Next, clear the fraction by multiplying both sides by 2:
Then, subtract 2 from both sides: 
Finally, take a square root of both sides and round: 
(Rounded to the nearest hundredth) 4.24
Answer:
MKL = 36°
Step-by-step explanation:
(3x + 6) + (6x + 12) = 54°
3x + 6x + 6 + 12 = 54
9x + 18 = 54
9x = 54 - 18
9x = 36
x = 36/9
x = 4
MKL = 6x + 12
MKL = 6(4) + 12
MKL = 24 + 12
MKL = 36°
Answer:1/9
Step-by-step explanation:
Simplified:
1/3 x 1/3
1/9
