Mathematics, 05.12.2019 10:31, sportsseolive4471

Jim is designing a seesaw for a children’s park. the seesaw should make an angle of 30° with the ground and the maximum height to which it should rise is 2 meters. -what is the maximum length of the seesaw?

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1.5/sin 30=c/sin 90
.
1.5m/0.5=c/1
.
3 m=c Answer
.
Also,
in 30° 60° 90° special triangle you can just apply the side ratio to lessen calculations:
.
short leg= x
long leg =x√3
hypotenuse = 2x
.
if hypotenuse is given just divide it by 2 to find x then apply x to the legs...
ex: hypo= 4
4=2x
4/2=x
2=x
so short leg=2, long leg=2(√3)
.
check by pythagorean:
2^2 plus [2(√3)]^2=c^2
√(4 plus 12)=c
√16=c
4=c

answered: AnastasiaJauregui

maximum length of the seesaw will be 4 meters.

Step-by-step explanation:

From the figure attached,

AC is the length of Seesaw which makes an angle of 30° with the ground when it rises to the maximum height BC = 2 meters

Now in the ΔABC,

sin30° =

AC = 2×2 [By cross multiplication]

AC = 4 meters

Therefore, maximum length of the seesaw will be 4 meters.

answered: Guest

$y> \frac{1}{3}x$ and y≤ -x +4 .

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be = $\frac{1-0}{3-0} = \frac{1}{3}$ .

y-intercept of dotted line is y=0 only.

plugging slope m= $\frac{1}{3}$ and b=0 in slope-intercept form y=mx+b, we get

$y=\frac{1}{3}x$ .

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

$y> \frac{1}{3}x$ .

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be = $\frac{4-1}{0-3} = \frac{3}{-3}=-1$ .

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

y≤ -x +4 .
Write a system of inequalities to represent the shaded portion of the graph.

answered: Guest

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

$\text{simple interest} = \frac{principal\times rate\times time}{100} \\\\\text{simple interest} = \frac{1000\times 4\times 10}{100}=\$400\\\\amount = principal + interest\\amount = 1000 + 400 = \$1400$