Given a right △abc, where ab = 4.5 cm, bc = 7.794 cm, and ac = 9 cm, sketch the triangle below, and find the measure m∠c in degrees, rounded to the nearest tenth, if necessary.

  30°

Step-by-step explanation:

The ratio of the side opposite (AB) to the hypotenuse (AC) is ...

  4.5/9 = 1/2

From your memory of a short table of trig functions you know this is the sine of 30°. From the mnemonic SOH CAH TOA, you know that

  Sin = Opposite/Hypotenuse

Putting these facts together gets you ...

  sin(C) = 1/2 = sin(30°)

  C = 30°

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11 -1> 1 -1+ a

-12 > a