Answer:
3.6 cm²
Step-by-step explanation:
It's a trapezium
So area
=(2.4+1.6)/2 ×1.8 cm²
4/2×1.8 cm²
2×1.8 cm²
3.6 cm²
Reading the question carefully, "<span>He draws the diameter of the circle through center P using a straight edge. Next he opens his compass to a width equivalent to the radius of the circle." - that implies that Mateo is still in the process of drawing the circle by which the equilateral is inscribed to.
The next steps should be:
*He should draw the upper and lower arcs using the compass opened to a width equivalent to the radius of the sircle.
*Make a vertical diameter using centroid P as basis.
*Draw two right triangles facing the opposite directions using the top most point by which the vertical diameter of the circle touches the top most circumference of the circle.
Doing these steps, Mateo will be able to draw an equilateral triangle inscribed in a circle.
</span>
Answer:
(0,1) (2,2) (4,3) (6,4) (8,5) (10,6)
Step-by-step explanation:
rise over run, graph it out
Answer
given,
installed electric lamp = 2000
average life = 1000 hrs
standard deviation = 200 hrs
a)
let after p hors 10% bulb fails ,
P(X<p) = 0.10
from Normal distribution table,
P(Z<-1.28) = 0.10
on comparing
x = -1.28 x 200 + 1000
x = 744 hours
b) P( 900 < X < 1300) =
=
= P(-0.5 < Z < 1 .5)
= P(Z<1.5) - P(Z<-0.5)
= 0.93319 - 030854
= 0.62465
lamps may be expected to fail between 900 and 1300
= 0.62465*2000
= 1249.3
= 1249 (approx)
$13.32
$875.68 + $456.32 = $1332
$1332/100 = $13.32