Answer:
<h2>The answer is 15 units</h2>
Step-by-step explanation:
The distance between two points can be found by using the formula
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(5, -5) and (-7,4)
The distance between them is
We have the final answer as
<h3>15 units</h3>
Hope this helps you
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Answer:
Step-by-step explanation:
When we scale an object by a scale factor, the side lengths become the scale factor times bigger than the previous sides. Therefore, with a scale factor of 6, the side lengths would be multiplied by 6.
Hope this helped!
Step-by-step explanation:
the area of a circle (all 360°) is
pi×r²
with r being the radius.
the area of a circle segment is just the corresponding fraction of the whole circle.
so the area of a segment of x degrees is
pi×r² × x/360
in our case we know
pi×42240² × x/360 = 180 mi²
we also know that there are 5280 ft in 1 mile.
so, the radius is actually
42240 / 5280 = 8 miles
and therefore our equation resulting in mi² has to use miles and not ft and has to look that way :
pi×8² × x/360 = 180 mi²
pi×64 × x/360 = 180
pi×64 × x = 180×360
pi×x = 180×360/64 = 1012.5
x = 1012.5/pi = 322.2887598...°
so, the angle of the segment of a circle with the area of 180 mi² and the radius of 8 mi is 322.2887598...°
