4 sqrt (32) + 6 sqrt (50)
4 sqrt (16*2) + 6 sqrt (2*25)
4 sqrt (16)*sqrt(2) + 6 sqrt (2)*sqrt(25)
4 *4*sqrt(2)+6sqrt(2)*5
16sqrt(2)+30sqrt(2)
46sqrt(2)
Answer:
9
Step-by-step explanation:
9v = 9(2i + 9j) = 18i + 81j
|9v | = 
= 
= 9
Answer:
43.8°
Step-by-step explanation:
Applying,
Cosine rule,
From the diagram attached,
x² = y²+z²-2yxcos∅.................... Equation 1
where ∅ = ∠YXZ
Given: x = 8.7 m, y = 10.4 m, z = 12.4 m
Substitute these values into equation 1
8.7² = 10.4²+12.4²-[2×10.4×12.4cos∅]
75.69 = (108.16+153.76)-(257.92cos∅)
75.69 = 261.92-257.92cos∅
collect like terms
257.92cos∅ = 261.92-75.69
257.92cos∅ = 186.23
Divide both sides by the coefficient of cos∅
cos∅ = 186.23/257.92
cos∅ = 0.722
Find the cos⁻¹ of both side.
∅ = cos⁻¹(0.7220)
∅ = 43.78°
∅ = 43.8°
Answer:
150 feet
Step-by-step explanation:
the ratio of her shadow to her height
2/5=60/150
60/150=2/5
i hope it is right
Answer:
Step-by-step explanation:
we are given opposite and adjacent
we want to figure out x°
remember that,
where our opp is 5 and adj is 12.5
let 
be x°
so
by using calculator
hence,
our answer is a
