Step-by-step explanation:
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The area of the kite can be found as follows;
Area=[area of XWY]+[areaYWZ]
area XWY=1/2*b*h
=1/2*4*3=6 sq units
area YWZ=1/2*b*h
=1/2*4*4=8 sq units
Hence the area of the kite will be:
Area=6+8=14 sq. units
Answer:

Step-by-step explanation:
The slope-intercept form of the equation of a line:

m - slope
b - y-intercept → (0, b)
The point-slope form of the equation of a line:

m - slope
(x₁, y₁) - point
We have the equation of a line:

and the point (0, 2) → b = 2.
Substitute:

Answer:
The estimated age of the skull is 39118 years.
Step-by-step explanation:
The amount of the substance after t years is given by:

In which A(0) is the initial amount, and r is the decay rate.
The half-life of carbon-14 is about 5600 years.
This means that
. We use this to find r, or 1 - r, to replace in the equation. So



![\sqrt[5600]{(1-r)^{5600}} = \sqrt[5600]{0.5}](https://tex.z-dn.net/?f=%5Csqrt%5B5600%5D%7B%281-r%29%5E%7B5600%7D%7D%20%3D%20%5Csqrt%5B5600%5D%7B0.5%7D)


So

Only 2% of the original amount of carbon-14 remains in the burnt wood of the campfire.
This is t for which
. So







The estimated age of the skull is 39118 years.