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...°
A cone that is sliced through the vertex would make the shape of a triangle.
You are told the h eight is 10 cm and the radius is 4 cm.
The radius would be half the base, so the base would be 4 * 2 =8 cm.
The area of the triangle is found by multiplying the base by the height, then dividing by two.
Area = 8 x 10 = 80
80 / 2 = 40 square centimeters.
B. the line is going up so it’s going to be positive not negative. the b value is gonna be negative 1 instead of positive because it crosses the y axis closer to -1 than it does 1
Answer:
The y-intercept would be 7
The slope would be -1 or -1/1. They are both the same thing.
The slope is the number which is located directly to the left of the variable (the variable in this case is x, but in other situations it could be a totally different letter).
If you want to solve it the answer is 13...
If you want multiple ways to write that here are some:
3x4+2-1
3x4+1
12+2-1
12+1
Etcetera
