I should be on the black dot ☺️
Do a proportion
20/100= 12/x
Cross multiply and divide
12 x 100= 1,200
1,200 divided by 20 is 60
Answer is 60 plants
Since the angles are complementary, they add to 90°. So we can write the equation:
x represents the first angle, and 4x represents the second
x+4x=90
5x=90
x=18
So the first angle is 18° and the second is 72° (18*4)
Hope this helps
Use long addition to evaluate: the answer is 18
The angle between two vectors is given by:
cos (x) = (v1.v2) / (lv1l * lv2l)
We have then:
v1.v2 = (2, -5). (4, -3)
v1.v2 = (2 * 4) + (-5 * (- 3))
v1.v2 = 8 + 15
v1.v2 = 23
We look for the vector module:
lv1l = root ((2) ^ 2 + (-5) ^ 2)
lv1l = 5.385164807
lv2l = root ((4) ^ 2 + (-3) ^ 2)
lv2l = 5
Substituting values:
cos (x) = (23) / ((5.385164807) * (5))
x = acos ((23) / ((5.385164807) * (5)))
x = 31.33 degrees
Answer:
The angle between the two vectors is:
x = 31.33 degrees
