The value of b is 12.5 and the value of YZ is 100
<h3>How to determine the variable and yz?</h3>
The given parameters are:
XY = 6b
YZ = 8b
XZ = 175
This means that
XZ = XY + YZ
So, we have:
6b + 8b = 175
Evaluate the sum
14b = 175
Divide by 14
b = 12.5
Substitute b = 12.5 in YZ = 8b
YZ = 8 * 12.5
Evaluate
YZ = 100
Hence, the value of b is 12.5 and the value of YZ is 100
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The surface area of hemisphere is given by:

Where r is radius of hemisphere.
We are given diameter = 250 ft.
We know that radius = half of diameter.
Radius of dome = 1/2 (250) = 125 ft.
Now let us plug the value of radius in the formula,

Surface Area of dome = 98125 square foot.
The dependent variable is f(m)...total money earned per day
the independent variable is m...number of miles
f(m) = 3.5m + 65
for 40 miles..
f(40) = 3.5(40) + 65
= 140 + 65
= 205 <== money earned for the day
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the dependent variable is f(p)....total charged
the independent variable is p...the number of pounds
f(p) = 3.5p
for 5 lbs...
f(5) = 3.5(5)
f(5) = 17.50 <== total that was charged
Chess board? , the board if there is like a line with points that has points on the same line