Answer:
The angle between the two vectors is 84.813°.
Step-by-step explanation:
Statement is incomplete. Complete form is presented below:
<em>Let be (6,-3, 1) and (8, 9, -11) vector with same origin. Find the angle between the two vectors. </em>
Let and , the angle between the two vectors is determined from definition of dot product:
(1)
Where:
, - Vectors.
, - Norms of each vector.
Note: The norm of a vector in rectangular form can be determined by either the Pythagorean Theorem or definition of Dot Product.
If we know that and , then the angle between the two vectors is:
The angle between the two vectors is 84.813°.
I would use the Law of Sines to solve this problem.
The angle next to the 58 degree angle is 122 degrees. The side opposite this angle is 3.72 km.
The angle we need to find is at the cave. The side opposite this angle is 2.60 km.
(Sin 122/3.72) = (Sin x/2.60)
Cross multiply to solve.
3.72 Sin x = 2.60 Sin 122
Divide both sides by 3.72
Sin x = (2.60 Sin 122)/3.72
Sin^-1 x = (2.60Sin122)/3.72
x = 36 degrees
Dylan's water bottle has a greater capacity. There are 1,000 Milliliters in a Liter. So Dylan's water bottle holds 400ml more.
Answer:
The translation of the question is: " Angelfish are 4/7 and gladiolus 5/9 of all fish in a certain aquarium. Are there more angelfish or gladiolus in this aquarium?
The answer is: there are more angelfish.
Explanation:
You have the fraction for both angelfish and gladioulus in a certain aquarium, so you need to compare those fractions to conclude which fraction is greater.
To compare fractions you can divide one by the other. Whether the quotient (the result of the division) is greater than, equal than, or less than one will tell which fraction is greater than the other.
- If fraction 1 / fraction 2 > 1 ⇒ fraction 1 is greater than fration 2
- If fraction 1 / fraction 2 = 1 ⇒ fraction 1 is equal to fraction 2
- If fraction 1 / fraction 2 < 1 ⇒ fraction 1 is less than fraction 2.
Now, lets compare the fish's fractions:
Then, you conclude that 4/7 is greater than 5/9, and thus the fraction of angelfish is greater than the fraction of gladioulus: there are more angelfish in the aquarium.