The pathway is 8.46 yards.
<h3>How to find the length of the pathway?</h3>
To find the length of the pathway, it is required to find how long is the diagonal line from one corner of the herb garden to the opposite corner. As shown in the image attached.
The general formula for this is:
- d = a√2 or diagonal = side√2
Let's apply this formula:
- d= 6 √2
- d= 6 x 1.41
- d= 8.46 yards
Learn more about yards in: brainly.com/question/14516546
Answer: Prokhorova is more outstanding.
Step-by-step explanation: To compare scores from different distributions, first standardize it:
z-score = 
where
x is the individual mean you want to compare
μ is the mean of the population
σ is standard deviation
For <u>Gertrud Bacher</u>:
z-score = 
z-score =
(s)
The negative sign indicates Bacher's mean is less than the mean
For <u>Yelena Prokhorova</u>:
z-score = 
z-score = 2 (cm)
The positive sign indicates Prokhorova's mean is more than the mean.
Using z-score table, you determine the percentiles are:
For Bacher: Percentile = 5.5%
For Prokhorova: Percentile = 97.7%
Bacher's percentile means she is above 5.5% of the participants, while Prokhorova is 97.7% above the other competitors, which means Prokhorova have a better performance and deserves more points.
Answer:
Given:
perpendicular [p]=9cm
base[b]=15cm
length[l]=4cm
we have
the volume of this triangular prism=area of traingle. ×length=1/2 p×b×l
=½×9×15×4=270cm³
270cm³ is a required volume.
Answer:
89·98 mph
Step-by-step explanation:
First, we get the circumference of the tires:
Circumference =
× (radius × 2)
Circumference = 3.142 × (1·5 × 2)
Circumference = 3·142 × 3
Circumference = 9·426 ft
The circumference of the tire is equal to one round.
1 round = 9·426 ft
840 rounds = ?
We cross multiply to get the length that the tires would cover in a minute
= <u>840 × 9·426</u>
1
1 minute = 7917·84 ft
60 minutes = ?
<u>60 × 7917·84</u>
1
= 475070·4 ft
5280 feet = 1 mile
475070·4 feet = ?
<u>475070·4 × 1</u>
5280
475070·4 ÷ 5280 = speed of the car in mph
89·97545
Round this off to 2 decimal places...
= 89·98 mph
hope this helps! =)