Joanna laid a plank of wood down to make a ramp so that she could roll a wheelbarrow over a low wall in her garden. The wall is 1.5
meters tall, and the plank of wood touches the ground 2 meters from
the wall. How long is the wooden plank?
a 2 meters long
b 2.5 meters long
C 4.4 meters long
d 3 meters long

2.5m

Step-by-step explanation:

Given

Height of wall = 1.5m(opposite)

Base of the wall = 2m(adjacent)

Required

Length of wooden plank

Using the Pythagorean theorem

L² = 2²+1.5²

L² = 4+2.25

L² = 6.25

L = √6.25

L = 2.5m

Hence the length of the plank is 2.5m

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.