In ΔQRS, q = 91 inches, r = 67 inches and ∠S=109°. Find the length of s, to the nearest inch.

The length of s is 129 inches to the nearest inch.

Step-by-step explanation:

In ΔQRS

∵ q is the side that opposite of ∠Q

∵ r is the side that opposite of ∠R

∵ s is the side that opposite of ∠S

∵ q = 91 inches, r = 67 inches, m∠S = 109°

→ To find side s we will use the cosine rule

∵ s² = q² + r² - 2(q)(r)cos∠S

∴ s² = (91)² + (67)² - 2(91)(67)cos(109°)

∴ s² = 16739.97808

→ Take square root for both sides

∴ s = 129.3830672

→ Round it to the nearest inch (whole number)

∴ s = 129 inches

∴ The length of s is 129 inches to the nearest inch.

your answer is the last one

step-by-step explanation:

divide the length of a'c' by the length of ac to get a scale factor of two

& then reflect vertically (over the y-axis)

so your answer is dilation by a scale factor of 2 followed by reflection over the y-axis

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)