Answer:
31/35
Step-by-step explanation:
The fraction of the money raised by Fiona and Patrick is the sum of the fractions given for the money raised by both of them. Given that Fiona raised 2/7 of the money and Patrick 3/5, the sum of these 2 fractions
= 2/7 + 3/5
make the lowest common multiple of the denominators the base and multiply the numerators by it
= (10 + 21)/35
= 31/35
<h2>Question:</h2>
Vector A has components (5,6) and vector B has components (-12, 3). What is the direction of the vector C = 2A - B
Answer:
22.24° to the positive x-axis.
<h2>
Step-by-step explanation:</h2>
<em>Given vectors:</em>
A (5, 6)
B (-12, 3)
C = 2A - B ------------(i)
First let's represent the two vectors in unit notation as follows;
A = 5 i + 6 j
B = -12 i + 3 j
Now substitute these vectors into equation (i) as follows;
C = 2(5 i + 6 j) - (-12 i + 3 j)
C = 2(5 i + 6 j) + (12 i - 3 j)
C = 10 i + 12 j + 12 i - 3 j [collect like terms]
C = 10 i + 12 i + 12 j - 3 j
C = 22 i + 9 j ----------------(ii)
The direction, θ, of vector C can be calculated as follows;
θ = tan⁻¹()
θ = tan⁻¹(0.409)
θ = 22.24°
Since both the x and y components of vector C are positive, the direction of the vector is 22.24° to the positive x-axis.
Answer:
2/18 or if needed simplified 1/9. count all the people you get 18 the red head is 2.