. A cyclist pedals his bike 6.5 km up a mountain road, which has a steady incline. By the time he has reached the top of the mountain, he has climbed 1.1 km vertically. Calculate the angle of elevation of the road.

9.72°

Step-by-step explanation:

Step one

Given data

let the hypotenuse be the distance the cyclist traveled = 6.5km

and let the opposite be the height of the mountain = 1.1 km

Step two:

Applying SOH CAH TOA

sin ∅= opp/hyp

∅= sin-1 opp/hyp

∅= sin-1 1.1/6.5

∅= sin-1 0.169

∅= sin-1 0.169

∅=9.72°

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

i found the koficent of the linear function and i foun c acordind to the strict formula y=kx+c and then i took 2 as an x and replacet it on the formula i found and then foun the y