Answer:
length = 18 mt
Width = 10 mt
Step-by-step explanation:
Let the length of the field be x
width of the field be y
Hence
P=2(x+y)
P=56 (given)
56=2(x+y)
Dividing both sides by 2 we get
x+y=28 ---(A)
Also given that width of the parallelogram is 8 meters less than its length
Hence
y=x-8
or x-y=8 ---(B)
Adding A and B
2x=36
x=18
y=x-8
y=18-8=10
Hence length = 18 mt
Width = 10 mt
Answer: the probability that the tires will fail within three years of the date of purchase is 0.12
Step-by-step explanation:
The average lifetime of a set of tires is 3.4 years. It means that μ = 3.4
Decay parameter, m = 1/3.4 = 0.294
The probability density function is
f(x) = me^-mx
Where x is a continuous random variable representing the time interval of interest(the reliability period that we are testing)
Since x = 3 years,
Therefore, the probability that the tires will fail within three years of the date of purchase is
f(3) = 0.294e^-(0.294 × 3)
f(3) = 0.294e^- 0.882
f(3) = 0.12
Answer:
Option C (72)
Step-by-step explanation:
In the figure attached we can see a rectangle ABCD with length 12 cm and width 9 cm.
A triangle PEF with height BE and base EF.
Since side AE = 3 cm, so side EB = EC = 9 - 3 = 6cm
and EF = AD = 12 cm
Now we will find the area of of the parts of the card that are not shaded.
Area of parts that are not shaded = Area of rectangle - area of shaded triangle
= (12×9) -
= 108 -
Option c) 72 cm² is the area of non shaded part.
Hope this helps!! -Mina
Answer:
- 1/3
- y-axis
- (1, -2)
Step-by-step explanation:
The length AC is 3, but the corresponding length FD is 1, so the dilation factor is FD/AC = 1/3.
The reflection is a left/right reflection, so it is across a vertical line. We suspect the only vertical line you are interested in is the y-axis. (It could be reflected across x=1/2, and then the only translation would be downward.)
The above transformations will put C' at (1, 0). Since the corresponding point D is at (2, -2), we know it is C' is translated by (1, -2) to get to D.
C' + translation = D
(1, 0) +(1, -2) = (2, -2)
600 elves
25% = 1/4
1/4 of the total = 150.
1/4 x 4 = 1 (total)
150 x 4 = 600
there are 600 elves
