Answer:
V = 3,386,880 cubic yards
V = 91445760 cubic feet
V = (1/3) · b2 · h so 1/3 x 756^2 x 480 = 91445760 ft^3
Answer = 91445760 ft^3
Step-by-step explanation:
converting feet into yards
let
1 yard = 3 ft
1 ft = (1/3) yard
a = 756 ft = 756*(1/3) yards the length of the side of the square base
h = 480 ft = 480*(1/3) yards the height of the pyramid
a.) the volume of the pyramid V = (a^2*h)/3 = (a^2*h)(1/3)
V = (756*(1/3))^2*480*(1/3)*(1/3)
V = 3,386,880 cubic yards
Answer:
<h3>6 feet</h3>
Step-by-step explanation
Using the pythagoras theorem;
Given
The length of the flag pole = 8 feet = opposite side
Length of the rope = 10 feet = hypotenuse
To determine how far out on the ground he need to secure the rope from the flagpole so that the rope is tight, we need to look for the adjacent. Using the equation
hyp² = opp² + adj²
10² = 8² + adj²
adj² = 100-64
adj² = 36
adj = √36
adj = 6feet
Hence the rope should be placed 6feet out of the ground
Step-by-step explanation:
Y=90° as its a right angled triangle
Answer:
0.0023 = 0.23% probability that all 5 balls selected will be the same color
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the balls are selected is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
Desired outcomes:
Either 5 amber from a set of 6, or 5 blue from a set of 5. So
Total outcomes:
5 balls selected from a set of 6 + 5 + 4 = 15. So
Probability:
0.0023 = 0.23% probability that all 5 balls selected will be the same color
Answer:
Growth
Step-by-step explanation:
It is growth because if x increases so does y. For example if x=1 then f(x)=4/6.If x=2 then f(x)=16/6
