Using proportions, it is found that the table is completed as follows:
Original Ratio Number in the zoo
Baby camels 5 20
Adult camels 6 24
Total camels 11 44
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
At the zoo, for every 6 adult camels, there are 5 baby camels, hence, out of 11 camels, 5 are baby and 6 are adult.
Thus, out of 44 camels, we have that:
- 44/11 x 5 = 20, hence there are 20 baby camels.
- 44/11 x 6 = 24, hence there are 24 adult camels.
The table is:
Original Ratio Number in the zoo
Baby camels 5 20
Adult camels 6 24
Total camels 11 44
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Answer:
R=-12
Step-by-step explanation:
6(1 + 3R) = 2(10R - 9) -4R
Distribute 6 through the parentheses
6+18R=2(10R-9)-4R
Distribute 2 through the parentheses
6+18R=20R-18-4R
Collect like terms
6+18R=16R-18
Move the variable to the left-hand side and change its sign
6+18R-16R=-18
Move the constant to the right-hand side and change its sign
18R-16R=-18-6
Collect like terms
2R=-18-6
Calculate the difference
2R=-24
Divide both sides of the equation by 2
R=-12
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Answer:
about 2714.34 in^3
Step-by-step explanation:
24/2=12--radius
12/2=6--height
formula is V=(pi)(r^2)(h)
r is for radius and h is for height
V=(pi)(12*12)(6)
V=(pi)(144)(6)
V=(pi)(864)
V= about 2714.34 in^3
Split up each force into horizontal and vertical components.
• 300 N at N30°E :
(300 N) (cos(30°) i + sin(30°) j)
• 400 N at N60°E :
(400 N) (cos(60°) i + sin(60°) j)
• 500 N at N80°E :
(500 N) (cos(80°) i + sin(80°) j)
The resultant force is the sum of these forces,
∑ F = (300 cos(30°) + 400 cos(60°) + 500 cos(80°)) i
… … … + (300 sin(30°) + 400 sin(60°) + 500 sin(80°)) j N
∑ F ≈ (546.632 i + 988.814 j) N
so ∑ F has a magnitude of approximately 1129.85 N and points in the direction of approximately N61.0655°E.