Answer:
Surface area = 1808.64in² and volume is 7234.56in³
Step-by-step explanation:
The figure above is a sphere, and it has a diameter of 24in
Radius = ?
Radius = diameter / 2
R = 24 / 2
R = 12in
Surface area of of sphere = 4πr²
Volume of a sphere = 4/3 πr³
π = 3.14
1. Surface area = 4 * 3.14 * 12²
Surface area = 4 * 3.14 * 144
Surface area = 1808.64in²
2. Volume of the sphere = 4/3πr³
Volume = 4/3 * 3.14 * 12³
Volume = 4/3 * 3.14 * 1728
Volume = 7234.56in³
The surface area of the sphere is 1808.64in² and the volume is 7234
56in³
<span>Ending Amt = Bgng Amt * e ^-0.03t
In this equation, the "-0.03" is the decay factor or "k"
We can now solve for half-life by this equation:
</span>t = <span>(<span>ln [y(t) ÷ a]<span>)<span> ÷ -k (we can say beginning amount = 200 and ending amount = 100
</span></span></span></span>t = <span>(<span>ln [200 ÷ 100]<span>)<span> ÷ -k
</span></span></span></span>t = <span>(<span>ln [2]<span>)<span> ÷ -k
</span></span></span></span>t = 0.69314718056<span> ÷ --.03
t =</span><span><span><span> 23.1049060187
</span>
about 23 years
</span></span>
Answer:
Both a and b would both equal 45 degrees
Step-by-step explanation:
To find this, we need to note that a and 135 create a straight line. Since a straight line has 180 degrees, we can create an equation to solve for a.
135 + a = 180
a = 45
Now that we know a is equal to 45, we can tell that b is also equal to that amount. This is because two parallel lines cut by a transversal creates the same angle.
Answer:
$150
Step-by-step explanation:
it is $25 income tax every $100 earned so 25 x 6 = 150