Answer:
<em>3/5 of 30 = (3/5)*30</em>
<em>3/5 of 30 = (3/5)*303/5 of 30 = (3*30)/5</em>
<em>3/5 of 30 = (3/5)*303/5 of 30 = (3*30)/53/5 of 30 = 90/5</em>
<em>3/5 of 30 = (3/5)*303/5 of 30 = (3*30)/53/5 of 30 = 90/53/5 of 30 = 18</em>
<em>3/5 of 30 = (3/5)*303/5 of 30 = (3*30)/53/5 of 30 = 90/53/5 of 30 = 18So when the tank is 3/5 full, there are 18 gallons in the tank.</em>
The magnitude of the resulting vector, u - v, is approximately 5.83
and its angle of direction is approximately 59.04°.
<h3>How to find the magnitude of the resulting vector?</h3>
We want to subtract vector v from vector u.
We are given;
v = <2, -3> = 2i - 3j
u = <5, 2> = 5i + 2j
u - v = 5i + 2j - (2i - 3j)
= 5i + 2j - 2i + 3j
= 3i + 5j
Resultant vector = √(3² + 5²)
Resultant vector = √34 ≈ 5.83
Angle of direction of resultant vector is;
tan θ = (5/3)
θ = tan⁻¹(5/3)
θ = 59.04°
Read more about Magnitude of Vector at; brainly.com/question/3184914
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Answer:
C
Step-by-step explanation:
4x-2=4x-2
when u simplify the equations you get 4x-2=4x-2 therefore they are the same line which results in infinitely many solutions.
(pls mark brainliest)
Answer:
B
Step-by-step explanation:
<span>10 < –2b or 2b + 3 > 11 represents 2 different sets of numbers.
</span><span>10 < –2b can be reduced by dividing both sides by -2; you must then reverse the direction of the < sign: -5 > b, which is the interval b < -5: (-infinity, -5).
</span>2b + 3 > 11 reduces to 2b > 8, which in turn reduces to b > 4: (4, infinity).
It may be helpful to graph these sets.
If you really do mean "<span>10 < –2b or 2b + 3 > 11," then the "solution" is made up of two sub-intervals: b < -5 and b > 4.
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