2x/3=8
2x=24
x=12
It takes Molly 12 minues to run one mile.
Answer/Step-by-step explanation:
1. B = 180 - (90 + 58) (sum of triangles)
B = 32°
Let's find a and b using trigonometric ratios:
Reference angle = 58°
Opposite = a = ?
Hypotenuse = c = 27
Adjacent = b = ?
✔️To find a, apply SOH:
Sin 58 = Opp/Hyp
Sin 58 = a/27
a = 27*Sin 58
a = 22.8972986 ≈ 22.9 (nearest tenth)
✔️To find b, apply CAH:
Cos 58 = Adj/Hyp
Cos 58 = b/27
b = 27*Cos58
b = 14.3 (nearest tenth)
2. B = 180 - (90 + 63) (sum of triangles)
B = 27°
Let's find a and b using trigonometric ratios:
Reference angle = 63°
Opposite = a = 11
Hypotenuse = c = ?
Adjacent = b = ?
✔️To find b, apply TOA:
Tan 63 = Opp/Adj
Tan 63 = 11/b
b = 11/Tan 63
b = 5.6 (nearest tenth)
✔️To find c, apply SOH:
Sin 63 = Opp/Hyp
Sin 63 = 11/c
c = 11/Sin 63
c = 12.3 (nearest tenth)
x=25
Step-by-step explanation:
2000=400√x
Step 1: Flip the equation.
400√x=2000
Step 2: Divide both sides by 400.
400√x/400=2000/400
√x=5
Step 3: Solve Square Root.
√x=5
x=52(Square both sides)
x=25
Check answers. (Plug them in to make sure they work.)
x=25
Answer:
move each point of the triangle 5 units to the right and one unit up.
G is at -3,-1
-3+5 = 2
-1+1 = 0
2,0 is the coordinates of G' or the new G
T is at -1,-1
-1+5 = 4
-1+1 = 0
4,0 is the coordinates of T' or the new T
Last of all, B is at -3,-5
-3+5 = 2
-5+1 = -4
2,-4 is the coordinates of the B' or the new B.
Step-by-step explanation:
