5 x 2 x 7 x 3
Hope it helped! :)
Answer:
n=number of terms (60)
Step-by-step explanation:
an= -4+12(n-1)
a60= -4+12(60-1)
a60= 704
Yes; a triangle is formed:
<span>______________________________________________________</span>
m∡A = 17° ;
m∡B = 137° (given) ;
m∡C = 26° ;
a = 6 ;
b = 14 (given) ;
c = 9 (given) .
______________________________________________________
Explanation:
______________________________________________________
Note:
The law of sines:
(sin A) / a = (sin B) / b = (sin C) / c ;
______________________________________________________
Given:
______________________________________________________
B = 137 ;
c = 9 ;
b =14 ;
______________________________________________________
(sin B) / b = (sin C) / c ;
(sin 137) / 14 = (sin C) / 9 ;
(0.681998360062) / 14 = 0.0487141685758571 = (sin C) / 9 ;
______________________________________________________
sin C = (0.0487141685758571) * (9) ;
sin C = 0.4384275171827139 ;
Take the "arc sin" of each side of the equation; to isolate "C" on one side of the equation; and to solve for "C" ;
arc sin (C) = arc sin ( 0.4384275171827139) ;
C = 26.003593520741 ; round to 26.
If all angles of a triangle add up to 180 degrees: then:
A + B + C = 180 ;
A + 137 + 26 = 180 ;
A + 163 = 180 ;
Subtract "163" from each side of the equation; to isolate "A" on one side of the equation; and to solve for "A" ;
A + 163 − 163 = 180 − 163 ;
A = 17 ;
Now, to solve for "a" ;
(sin A) / a = (sin B)/ b ;
(sin 17) / a = 0.0487141685758571 ;
(0.0487141685758571) a = (sin 17) ;
Divide EACH SIDE of the equation by: "(0.0487141685758571)" ;
______________________________________________________
to isolate "a" on one side of the equation; and to solve for "a" ;
______________________________________________________
[(0.0487141685758571)a ] / (0.0487141685758571) =
(sin 17) / (0.0487141685758571) ;
_________________________________________________________
a = (sin 17) / (0.0487141685758571) ;
= (0.292371704723) / (0.0487141685758571) ;
a = 6.0017796314787227112 ; round to "6" .
_________________________________________________________
Responder:
La pizza con un perímetro de 100 cm es más grande ¿verdad?
Explicación paso a paso:
Deja que la pizza tenga forma circular.
Sea el área de la pizza = πd² / 4 y;
Perímetro de la pizza = πd
d es el diámetro de la pizza
Si la madre dice que el que tiene un perímetro de 100 cm es más grande, para estar seguros necesitamos obtener el diámetro de la pizza. La de mayor diámetro será la pizza más grande.
P = 100cm
100 = πd
d = 100 / π
d = 100 / 3,14
d = 31,85 cm
El diámetro de la pizza mamá es de 31,85 cm.
Si el padre dice que el que tiene un área de 100 cm² es más grande, obtengamos también el diámetro para estar seguros.
A = πd² / 4
100 = πd² / 4
400 = πd²
d² = 400 / π
d² = 400 / 3,14
d² = 127,39
d = √127,39
d = 11,29 cm
Por lo tanto, el diámetro de la pizza padre es de 11,29 cm.
Dado que el diámetro de la pizza madre es mayor que el de esa, la pizza con un perímetro de 100 cm es más grande, lo que demuestra que la madre tiene razón.
First we need to find the distance from G to A, or the length of segment GA
For now we'll call this x since it's unknown. This value x adds to the other three sides of the figure to get the perimeter to be 172 inches (given)
So,
EG + GA + AM + ME = perimeter
56 + x + 56 + 35 = 172
x+147 = 172
x+147-147 = 172-147 .... subtract 147 from both sides
x = 25
So segment GA is 25 inches
We'll use this to find the length of segment G'A' which corresponds to GA
The other horizontal sides EM and E'M' also correspond, so we'll pair these sides up and form the proportion below
(GA)/(G'A') = (EM)/(E'M')
which turns into this
25/y = 35/14
when we use y in place of G'A'. Like x, y is unknown at first until we solve for it. Let's isolate y
25/y = 35/14
25*14 = y*35 .... cross multiply
350 = 35y
35y = 350
35y/35 = 350/35 .... divide both sides by 35
y = 10
---------------------------------------------------
<h3>Final Answer: The length of G'A' is 10 inches</h3>
