9514 1404 393
Answer:
408.4 in²
Step-by-step explanation:
The lateral area of a cone is ...
LA = 1/2πds . . . . . . . where d is the diameter and s is the slant height
Using the given dimensions, the area of the hat is ...
LA = 1/2π(20 in)(13 in) = 130π in² ≈ 408.4 in²
The surface area is about 408.4 in².
Answer:
Height of building is 57.12 m.
Step-by-step explanation:
Let us try to understand the given dimensions as per the attached diagram.
Please refer to attached image (Right angled )
with
Let O be the point where the Surveyor is standing.
B be the point of the base of building.
T be the point of top of building.
As per question statement,
Side OB = 40 m
To find: Side BT = ?
Using tangent trigonometric identity:
So, height of building is 57.12 m.
Answer:
Step-by-step explanation:
Take 3s, the greatest common factor, out of both terms in the polynomial.
Answer:
Step-by-step explanation:
Please see the attached picture.
Let's find the value of the opposite side, XZ.
Applying Pythagoras' Theorem,
(XZ)² +(XY)²= (ZY)²
(XZ)² +16²= 65²
(XZ)²= 4225 -256 <em>(</em><em>bring</em><em> </em><em>constant</em><em> </em><em>to</em><em> </em><em>1</em><em> </em><em>side</em><em>)</em>
(XZ)²= 3969 <em>(</em><em>simplify</em><em>)</em>
<em>Square</em><em> </em><em>root</em><em> </em><em>both</em><em> </em><em>sides</em><em>,</em>
XZ=
XZ= 63 <em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>(simplify)</em>
sinY
= XZ/ ZY
<span>0.002
For 6 systems with exactly 3 failures, you need to calculate 6 pick 3 or 6!/(3!3!) = 720/(6*6)=720/36=20 different combinations of 3 systems to fail. Now the probability of each of those failures will be the probability of the subsystems not failing times the probability of the subsystems fail. So 0.95^3 * 0.05^3 for 3 subsystem not failing time 3 subsystems failing. So 0.95^3 * 0.05^3 = 0.857375*0.000125 = 0.000107172. And multiply by the 6 pick 3 calculated earlier, gives.
0.000107172 * 20 = 0.002143438
And rounding to the nearest thousandth, gives 0.002</span>