Answer:
Diameter of the smaller coin = 2.46 cm
Step-by-step explanation:
Circumference of a coin = 2πr
Circumference of coin A = 8.03 cm
Circumference of coin B = 8.03 cm - 0.33 cm
A.) what is the first step to find the diameter of the smaller coin?
Find the circumference of coin B
Circumference of coin B = 8.03 cm - 0.33 cm
= 7.7 cm
B.) Find the diameter of the smaller coin.
Circumference of a coin = 2πr
7.7 = 2 × 3.14 * r
7.7 = 6.28r
r = 7.7 / 6.28
r = 1.23 cm
Diameter = 2r
= 2 * 1.23 cm
= 2.46 cm
Diameter of the smaller coin = 2.46 cm
24987.2 meters cubed.
Step-by-step explanation:
A Hemisphere is 1/2 of a sphere, so let's find the volume of a sphere and then cut it in half.
The volume of a sphere is V= (4/3)πr3
The diameter is double the size of the radius, so we can find r, the radius, by dividing the diameter,
45.7m, by 2. So r = 22.85 meters
so the volume of the sphere is (4/3)π(22.85 meters)3, which is 49974.35787 meters cubed.
Since we're actually looking for the Hemisphere, we can divide this volume in half to get the volume of the hemisphere as 24987.17894 meters cubed.
And because the answer must be to 1/10th of a cubic meter, that means we only want one decimal point. So we round to 24987.2 meters cubed.
Answer:
g(x) is always decreasing
Step-by-step explanation:
Step 1: Distribute
g(x) = 4 - (2x - 12)
g(x) = 4 - 2x + 12
Step 2: Combine like terms
g(x) = -2x + 16
Since the line is linear and has a negative slope, it will always decrease when you input either a positive or negative x value. The output <em>y </em>will go lower.
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