Answer:
the answer is 60 inches
Step-by-step explanation:
Google.
Answer:
Distance between the national parks is 275 miles.
Step-by-step explanation:
We have given,
Average speed of train = 55 miles per hour
Total time taken = 5 hours
We need to find the distance between the national park.
i.e Distance = Average speed × time taken
Distance = 55 × 5
Distance = 275 miles
Hence the distance between the national parks is 275 miles.
Answer:
Step-by-step explanation:
This is a question on hypothesis testing.
Population mean based on 30 year average for July was 90 with
a std deviation of 2.1
Sample of 5 shows average 93.5
To check whether sample average = population average
H0: x bar =90
Ha: x bar not equal 90(Two tailed test)
Test statistic = 
=3.73
Since this lies outside the range (-1.96, 1.96) we reject null hypothesis
Hence we cannot say sample mean equals 90
The greatest common factor between any list of numbers is the biggest multiple that they all share.
For example, 5, 35 and 50 all share 5 as the biggest common factor, making 5 the greatest common factor.
Now that we have our example and definition out of the way, let's make out the factors.
12:
1 x 12
2 x 6
3 x 4
40:
1 x 40
2 x 20
4 x 10
5 x 8
60:
1 x 60
2 x 30
3 x 20
4 x 15
5 x 12
6 x 10
Now that we have our factors, let's look for the biggest number that they have in common.
They all share 4 as the biggest number.
Your GCF (Greatest Common Factor) is 4.
I hope this helps!
Answer:
A) Ms. Swift can conclude that hey are similar, because line E,C,A is collinear, and they both are right triangles.
B) 158.3ft
Step-by-step explanation:
A) Having a collinear line makes the triangles similar, and because of their collinear line they are both right triangles.
B) The question tells you DE is 103 ft. You take 76ft and Square it giving you 5776ft You then take 103 and square it giving you 10609ft adding them together gives you 16385ft you take the square root of it and it gives you the hypotenuse of triangle CDE. To get the hypotenuse of triangle ABC you take The expression (AB/DE)=(BC/CD)=(AC/EC) step one (AB/DE)=(94ft/76ft)=AC/DE) step two (103ft/127ft)=(94ft/76ft)=(AC/DE) third step (103ft/127ft)=(94ft/76ft)=(128ft/158.3)
I truly hope this helps! :)