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°
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Answer: 513 campers
Explanation
The total number of boys in the camp is 278
There are 43 fewer girl campers than boy
Let the total number of campers be x
Let the total number of girl campers be y
Since, there are 43 fewer girl campers than boy
Hence, the total number of girl campers is
y = Boy campers - 43
Boy campers = 278
y = 278 - 43
y = 235
Since, y is the total number of girl campers, hence, the total number of girl campers is 235
The total number of campers = number of boy campers + number of girl campers
The total number of campers = 278 + 235
The total number of campers = 513 campers
The answer is 513 camperst
Answer:
C
Step-by-step explanation:
Parallel and opposite sides of a parallelogram are equal. Hence, we can say:
x + 30 = 2x - 10
and
2y-10 = y +10
Solving first one, we get:
x + 30 = 2x - 10
30+10 = x
x = 40
Also
2y - 10 = y + 10
y = 10 + 10
y = 20
Now, z = x - y, so
z = 40 - 20 = 20
Answer C is right.
9514 1404 393
Answer:
27
Step-by-step explanation:
You want to find x when c = 120.
120 = x^2 -24x +39
x^2 -24x -81 = 0 . . . . . . subtract 120 to put in standard form
(x -27)(x +3) = 0 . . . . . .factor it
Solutions are ...
x = 27, x = -3 . . . . . values of x that make the factors zero
The number of flags manufactured for a cost of $120 is 27 flags.
Answer:
the correct answer is d
Step-by-step explanation:
w(s)=weeks saved and 20s is the gain of 20 dollars every week. and the 95 is the starting amount that sam had
