Which of these sentences are propositions?
What are the truth values of those that are propositions?
a) Boston is the capital of Massachusetts.
b) Miami is the capital of Florida.
c) 2 + 3 = 5.
d) 5 + 7 = 10.
e) x + 2 = 11.
f ) Answer this question.

a) True

b) False

c) True

d) False

e) Not a proposition

f) Not a proposition

Step-by-step explanation:

Proposition:

a) Boston is the capital of Massachusetts.

The given statement is true. Hence, the given statement is a proposition.

b) Miami is the capital of Florida.

The given statement is false. Hence, the given statement is a proposition.

c) 2 + 3 = 5.

The given statement is true. Hence, the given statement is a proposition.

d) 5 + 7 = 10.

The given statement is false. Hence, the given statement is a proposition.

e) x + 2 = 11.

The given statement can neither be true or false. It depends on the value of x. Hence, it is not a proposition.

f ) Answer this question.

The given statement is not a declarative in nature. Hence, it is not a proposition.

c. 65°

step-by-step explanation:

we are given a triangle with two known angles, 62° and 53°, while the third angle x is unknown and we are to find its value.

we know that the sum of angles in a triangle is equal to a total of 180 degrees. so we can write it as:

x + 62° + 53° = 180°

solving to find the value of x:

x = 180 - (62 + 53) = 65°

therefore, the value of x in this triangle is 65°.

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

hope this !