First, find the relationship of the circumference to its diameter by finding that the length of the diameter wraps around the length of the circumference approximately π times. Use this relationship to writing an equation showing the ratio of circumference to diameter equaling π. Then rearrange the equation to solve for the circumference. Substitute the diameter for 2 times the radius
Answer:
In the first half of a basketball game, a player scored 9 points on free throws and then scored a number of 2-point shots. In the second half, the player scored the same number of 3-point shots as the number of 2-point shots scored in the first half. Which expression represents the total number of points the player scored in the game?
a) 2x + 3x + 9
b) 2x + 3 + 9
c) 2x + 3x + 9x
d) 2 + 3x + 9
Answer:
a) 2x + 3x + 9
Step-by-step explanation:
<em>86.20 ft²</em>
- Step-by-step explanation:
<em>Hi there !</em>
<em>A = A₁ + A₂</em>
<em>A₁ =semicircle</em>
<em>A₁ = πr²/2</em>
<em>r = d/2 = 6.4ft/2 = 3.2 ft</em>
<em>A₁ = 3.14×(3.2ft)²/2 ≈ 32.15 ft²</em>
<em />
<em>A₂ = trapezium</em>
<em>A₂ = (b + B)×h/2</em>
<em>A₂ = (5.1ft + 6.4ft)×9.4ft/2 = 54.05 ft²</em>
<em />
<em>A = 32.15 ft² + 54.05 ft² = 86.20 ft²</em>
<em>Good luck !</em>
Answer:
150.9 cubic inches
Step-by-step explanation:
volume of he gas = volume of a cone x 3/4
Volume of a cone 1/3(nr^2h)
n = 22/7
r = radius
h = height
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
8/2 = 4 inches
1/3 (22/7 x 4^2 x 12) = 201.142857 in^3
volume of the gas = 3/4 x 201.142857 in^3 = 150.9 in^3
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
Answer: The required exponential model is 
Step-by-step explanation:
Since we have given that
Initial cases = 1804
Rate of growth = 4%
Since it is increasing exponentially,
So, it becomes,
Here, a = 1804
b = 
So, it becomes,
Hence, the required exponential model is
