The speed is the ratio between the distance and the time:
Data:
d=6343miles
t=9h
Then, the plane traveled at a speed of 704.77 miles per hour.
Let's solve this problem step-by-step.
STEP-BY-STEP EXPLANATION:
Let's first establish that triangle BCD is a right-angle triangle.
Therefore, we can use Pythagoras theorem to find BC and solve this problem. Pythagoras theorem is displayed below:
a^2 + b^2 = c^2
Where c = hypotenus of right-angle triangle
Where a and c = other two sides of triangle
Now we can solve the problem by substituting the values from the problem into the Pythagoras theorem as displayed below:
Let a = BC
b = DC = 24
c = DB = 26
a^2 + b^2 = c^2
a^2 + 24^2 = 26^2
a^2 = 26^2 - 24^2
a = square root of ( 26^2 - 24^2 )
a = square root of ( 676 - 576 )
a = square root of ( 100 )
a = 10
Therefore, as a = BC, BC = 10.
If we want to check our answer, we can substitute the value of ( a ) from our answer in conjunction with the values given in the problem into the Pythagoras theorem. If the left-hand side is equivalent to the right-hand side, then the answer must be correct as displayed below:
a = BC = 10
b = DC = 24
c = DB = 26
a^2 + b^2 = c^2
10^2 + 24^2 = 26^2
100 + 576 = 676
676 = 676
FINAL ANSWER:
Therefore, BC is equivalent to 10.
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Thank you and have a lovely day! <3
Answer:
It is a binomial and the degree is 9
Answer:Brielle will run the half marathon race faster.Brielle will take 1 hour 44 minutes and 48 seconds, Joshua will take 2 hours 37 minutes and 12 seconds
Step-by-step explanation:
10 / 1.25 = 8
8 minutes a mile
18 / 1.5 = 12
12 minutes a mile
Brielle will run the half marathon race faster.
8 x 13.1 =104.8
12 x 13.1=157.2
104.8 - 60=
44.8
60 seconds x .8= 48
Brielle will take 1 hour 44 minutes and 48 seconds
157.2 - 120 = 37.2
60 seconds x .2 = 12
Joshua will take 2 hours 37 minutes and 12 seconds
