Determine whether the sum of two values is a rational number or an irrational number.

1). Rational

2). Irrational

3). Rational

4). Rational

5). Irrational

Step-by-step explanation:

To solve this question we should follow the rule,

"Addition of rational and an irrational number is an irrational number."

1). (rational number)

    (negative rational number)

                  [rational number]

2). π → (Irrational number)

   24 → (rational number)

   π + 24 → (Irrational number)

   Since addition of a rational and an irrational number is an irrational number.

3). = 2 (rational number)

     5 (rational number)

    2 + 5 = 7 (rational number)

4). (rational number)

    (rational number)

    (rational number)

5). (rational number)

    → (Irrational number)    

    → (Irrational number)

b. 24 mm

step-by-step explanation:

use the pythagorean theorem.

a^2 + b^2 = c^2

a^2 + 7^2 = 25^2

a^2 + 49 = 625

a^2 = 576

a = 24

answer: b. 24 mm

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: