Answer: a) 
b) 
c) 
Step-by-step explanation:
Since we have given that
There are green and yellow candies in each bag.
Bag A: Two thirds of the candies are yellow. What portion of the candies is green?
Part of yellow candies in bag A = 
Part of green candies in bag A would be
Bag B: 29 % of the candies are yellow. What portion of the candies is green?
Percentage of candies are yellow = 29%
Portion of candies are green is given by
Bag C: 4 out of every 9 candies are yellow. What portion of the candies is green?
Portion of yellow candies = 
Portion of green candies would be
Hence, a) b) c)
Answer: the distance of the boat from the foot of the lighthouse is 290.5 feet.
Step-by-step explanation:
The right angle triangle ABC representing the scenario is shown in the attached photo.
Angle A is alternate to the angle of depression, hence, they are the same.
The height of the lighthouse represents the opposite side of the right angle triangle. The distance, x of the boat from the foot of the lighthouse represents the adjacent side of the right angle triangle.
To determine x, we would apply
the tangent trigonometric ratio.
Tan θ, = opposite side/adjacent side. Therefore,
Tan 11.1 = 57/x
x = 57/Tan 11.1 = 57/0.1962
x = 290.5 feet to the nearest tenth.
150% of the number 24 is 36.
Answer:
28 meters cubed.
Step-by-step explanation:
Since we know that the volume of a sphere is 4/3 the volume of a cylinder, we can multiply 21*4/3. 21*4 will equal 84 and 84/3 would be 28. So the volume of the sphere would be 28 meters cubed.
Step-by-step explanation:
assuming two points with coordinates :
(Xa,Ya) and (Xb,Yb)
use formula : (Xb-Xa)/ (Yb-Ya)
= 5+1/-3-1 = 6/-4
the standard form is 6/-4 × x
