(√2+√3)² + (√5+√2)²
2 answers:
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Answer:
a and b are perpendicular to each other, as are b and d, b and g
Step-by-step explanation:
To check whether two vectors are perpendicular to each other, we need the angle between these vectors to be 90 degrees.
We can find the angle between to vectors a and b from the following relation:
The cosine of the angle between two vectors is equal to the dot product of this vectors divided by the product of vector magnitude.
So
cos(90) = 0, so when the dot product between vectors a and b is 0, it means that these vectors are perpendicular to each other.
Now, for your exercise, let's compute the dot product between these vectors.
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a.b = (3,1,-1).(1,1,4) = 3+1-4 = 0
So a and b are perpendicular to each other.
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a.c = (3,1,-1).(1,3,1) = 3+3-1 = 5
a and c are not perpendicular to each other.
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a.d = (3,1,-1).(-1,-3,1) = -3-3-1 = -7
So not perpendicular
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a.g = (3,1,-1).(-3,-1,1) = -9-1-1 = -11
Not
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b.c = (1,1,4).(1,3,1) = 1+3+4 = 8
Not
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b.d = (1,1,4).(-1,-3,1) = -1 -3 +4 = 0
b.d = 0, so b and d are perpendicular to each other
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b.g = (1,1,4).(-3,-1,1) = -3-1+4 = 0
b.g = 0, perpendicular
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c.d = (1,3,1).(-1,-3,1) = -1-9+1 = -9
No
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c.g = (1,3,1).(-3,-1,1) = -3-3+1 = -5
No
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d.g = (-1,-3,1).(-3,-1,1) = 3+3+1 = 7
No
The answer is 1.83
you look to the number after the hundreds place which is 5. the rule is that is that place is 5 or more then you can round up with the hundreds place which turned the 2 into a 3
you look to the number after the hundreds place which is 5. the rule is that is that place is 5 or more then you can round up with the hundreds place which turned the 2 into a 3
Answer:
Jack can take only 1 horse on his trailer to be towed by the truck without going over the maximum weight the truck.
Step-by-step explanation:
Given:
Weight of 1 horse = 1,200 lb
Weight of trailer = 2,700 lb
Jacks'truck can tow a maximum of 5000 pounds.
To find the maximum number of horses Jack can take in his trailer without going over the maximum weight his truck can tow.
Solution:
Let the maximum number of horses that Jack can take be =
Using unitary method to find weight of horses.
If 1 horse weights = 1,200 lb
Then horses will weight in lbs =
Total weight of horses and trailer in lbs =
Since the maximum weight the truck can tow = 5,000 lb, so the inequality can be given as:
Subtracting both sides by 2700.
Dividing both sides by 1200.
From the inequality solution for , we can conclude that Jack can take only 1 horse on his trailer to be towed by the truck without going over the maximum weight the truck.