given :-
p(t) = 3t^2 - 5t - 7
g(t) = t - 5
=> t = 5
on putting values..
p(5) = 3(5)² + 5(5) - 7
= 3(25) + 25 - 7
= 75 - 18
= 57
hence, the remainder is 57.
D. 57 is the correct option
P(A or B) = P(A) + P(B)
if u have a dice and want to roll 1 or 2
P(1) = 1/6
P(2) = 1/6
P(1 or 2) = 1/6 + 1/6 = 2/6 = 1/3
Answer:
Step-by-step explanation:
The value of the interior angle of the regular polygon is calculated using the formula (n - 2) 180 / n where n is the number of sides of the regular polygon.
<u>Step-by-step explanation:</u>
A regular polygon refers to a multi-sided convex figure where all the sides are equal in length and all the angles have equal degree measures.
The triangle has 3 interior angles of 60 degrees
The square has 4 interior angles of 90 degrees.
The pentagon has 5 interior angles of 108 degrees .
The formula for the interior angle of a regular polygon is given by,
(
n
−
2
)
180 / n
where n refers to the number of sides.
Triangle : (3 - 2) 180 / 3 = 60 degree.
Square : (4 - 2) 180 / 4 = 90 degree.
Pentagon: (5 - 2) 180 / 5 = 108 degree.
Answer:
1668 feet.
Step-by-step explanation:
We know the opposite side of the right triangle and we need the adjacent side, so we use the tangent function.
If the distance required is x (adj side) we have:
tan 41 = opp/adj
tan 41 = 1450/x
x = 1450 / tan 41
= 1668.03
