Answer:
BC
Step-by-step explanation:
the height of a right-angled triangle to the Hypotenuse is the square root of the product of the lengths of the 2 segments of the Hypotenuse.
so the square of the height is then the product of the 2 line segments of the Hypotenuse.
therefore
AC² = DC × BC
Answer:
7 centimeters of rain will produce the maximum number of mosquitoes (49 millions of mosquitoes)
Step-by-step explanation:
we have the function

where
m(x) is the number of mosquitoes in Anchorage, Alaska (in millions of mosquitoes)
x is the rainfall (in centimeters)
This is a vertical parabola open downward
The vertex represent a maximum
The x-coordinate of the vertex represent the centimeters of rain that will produce the maximum number of mosquitoes
so
Convert the quadratic equation into vertex form

Factor -1

Complete the square


Rewrite as perfect squares

The vertex is the point (7,49)
therefore
7 centimeters of rain will produce the maximum number of mosquitoes (49 millions of mosquitoes)
6.724
6 is in the <em>ones</em> place
7 is in the <em>te</em><em>nths</em> place
2 is in the <em>hundredths</em> place
<em />4 is in the <em>thousandths</em> place
We want to round to the nearest hundredth, which means we'd either round down to 6.72 or round up to 6.73. This depends on the next digit.
If the next digit is greater than 5, we round up. If it's less than 5, we round down.
Since 4 is less than 5, we round down to 6.72.