Atriangle is 5 cm wider than it is tall. the area is 52 cm^2 . find the height and the base .

8 cm and 13 cm

Step-by-step explanation:

The formula to calculate the area (A) of a triangle is

A = bh ( b is the base and h the height )

let height = h then base = h + 5 ( base is 5 cm wider than it is tall ), hence

A = h(h + 5) = 52

multiply both sides by 2

h(h + 5) = 104 ( rearrange into standard form )

h² + 5h - 104 = 0 ← in standard form

(h + 13)(h - 8) = 0 ← in factored form

equate each factor to zero and solve for h

h + 13 = 0 ⇒ h = - 13

h - 8 = 0 ⇒ h = 8

but h > 0 ⇒ h = 8

Thus the height = 8 cm and base = 8 + 5 = 13 cm

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)