Q: THE PERPENDICULAR SIDES OF A RIGHT ANGLED TRAINGLE ARE 12 AND 15 CENTIMETERS LONG. ANOTHER RIGHT ANGLED TRAINGLE OF THE SAME AREA HAS ONE AT THE PERPENDICULAR SIDE 18 CENTIMETERS LONG . WHAT IS THE LENGTH OF THE OTHER ??

Area of a right triangle is 1/2 x height x base

The area of the first triangle is 1/2 x 12 x 15 = 90 square cm.

The area of the other triangle is 90 and one side is 18:

90 = 1/2 x 18 x S

Multiply both sides by 2:

180  = 18 x S

Divide both sides by 18:

S = 180/18

S = 10

The length of the other side is 10 centimeters

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: