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...°
Responder:
3 horas
Explicação passo a passo:
Dado :
Miguel a cada 45 minutos
Nádia a cada 60 minutos
Número de horas que eles vão se ver no mesmo lugar:
Para fazer isso ;
Obtenha o menor múltiplo comum de 60 e 45
Múltiplos de:
45: 45, 90, 135, 180, 225.
60: 60, 120, 180, 240, 300.
O menor múltiplo comum de 45 e 60 é 180
° Assim, eles se verão no mesmo lugar após 180 minutos;
Número de horas = 180/60 = 3 horas
So, the area of a parallelogram is the base times the height or
a being area
b being base
h being height
the height is 8 cm and the base is 15 cm
(remember: the heght should be perpendicular to the base)
so we plug in 8 for h and 15 for b to get
and 15 × 8 = (10 × 8) + (5 × 8) = 80 + 40 =120
So the answer is 120
Answer:
if thisa is a triangle then 180-30+30 = 120 degree and we say all angles on a triangle add up to 180
Then reaply the rule changing 180 to 360 on all 4 sided shapes
180(n-2) to all other shapes.
ie) pentagon 180(n-2) = 540
continue with 540-30-30 = 480 etc....
Step-by-step explanation:
Answer:
c = 3 c = -1/2
Step-by-step explanation:
(4c-5)^2= 49
Take the square root of each side
sqrt((4c-5)^2)= ±qrt(49)
4c-5 = ±7
Separate into two equations
4c-5 = 7 4c-5 = -7
Add 5 to each side
4c-5+5 = 7+5 4c-5+5 =-7+5
4c =12 4c = -2
Divide by 4
4c/4 = 12/4 4c/4 = -2/4
c = 3 c = -1/2
