Answer:
D
Step-by-step explanation:
Imagine this as a right angle triangle, where the diagonal length is the hypotenuse, the length is one side, and the width is the other.
We can therefore use Pythagoras' Theorem (or Pythagorean Theorem) to solve. The formula for this is a²+b²=c², where c is the hypotenuse, and a and b are the sides.
We can input the values we know to this formula to get the width. This gives 110²+b²=133.14² or 12100+b²=17 726.2596.
From there subtracting 12100 from both sides gives b²=5626.2596.
Square rooting b isolates it, leaving b=75.0083969.
Since the value of the diagonal was approximate, this can be assumed the b is 75m.
**This content involves Pythagoras' Theorem/Pythagorean Theorem, which you may wish to revise. I'm always happy to help!
The correct answer is 3: 35
Explanation:
To calculate at what time Jenny will arrive in Rochefort, the first step is to calculate the approximate time of the trip. Now, to calculate this consider the time of a movement (t) equals to the distance (d) divided by the speed (s), the process is shown below:
t = 483 km / 84 km/h
t = 5.75 hours
In this number 5 refers to the hours and 0.75 represents 45 minutes considering 0.75 x 60 minutes in one hour = 45 minutes. Therefore, the total time from Paris to Rochefort is 5 hours and 45 minutes. Now, to calculate the time of arrival add this result to the time of departure.
Add the hours: 5 hours + 9 hours: 14 hours
Add the minutes: 50 minutes + 45 minutes =95 minutes
95 minutes are equivalent to 1 hour (60) minutes and 35 minutes
Calculate the total
Hours: 14 hours + 1 hour = 15 hours or 3 in the 12 hour system (15 hours - 12 hours = 3 p.m.)
Minutes: 35 minutes
Answer:
Advance tickets-$15
Same-day tickets-$20
Step-by-step explanation:
let x be the cost of advance tickets and y cost of same-day tickets:
Given that there were 40 advance and 25 same-day tickets for a total of $1100:
#Make x the subject in i and substitute in ii:
Hence, advance tickets cost $15 each while same-day tickets cost $20 each.
Answer:
"The Hulk is not green AND the Iron Man is not red"
Step-by-step explanation:
DeMorgan's laws state that the negation of an statement whose structure is "p OR q" is "not p AND not q", and similarly, that the negation of an statement whose structure is "p AND q" is "not p OR not q". The statement we want to negate in our case is "The Hulk is green OR the Iron Man is red". This is an statement whose structure is of the type "p OR q", where p would be "The Hulk is green", and q would be "the Iron Man is red". So according to DeMorgan's laws, its negation should be the statement "not p AND not q". To put them in common english, not p would be "The Hulk is NOT green", and not q would be "The Iron Man is NOT red". So the statement "not p AND not q" is simply "The Hulk is not green AND the Iron Man is not red".
D is the answer because the f is one and (-4)= 4
