Answer:
2/16
5/40
Step-by-step explanation:
We are given
The equation that models this trip is T= 36x + 60
T represents the total cost for the group to take the trip and
X equals the number of people going
we know that
Domain is all possible values of x for which any function is defined
Since, number of people can neither be negative nor in decimals
so, x can not be negative or in decimals
now, we will check each options
option-A:
x=40
This is positive and whole number
so, this can be domain
so, this is TRUE
option-B:
x=60
This is positive and whole number
so, this can be domain
so, this is TRUE
option-C:
0< x< 40
It also includes decimals numbers
and we know that
x can not be in decimals
so, this is FALSE
option-D:
0< x< 39
It also includes decimals numbers
and we know that
x can not be in decimals
so, this is FALSE
Answer:
30
Step-by-step explanation:
This problem can be done without the Distance Formula (which is a way to find the distance between any two points in the plane).
The attached image shows the points and segments joining them.
PQ = 5 because the points are on the same horizontal line, and you can count spaces between them (or subtract x-coordinates: 4 - (-1) = 5).
PR = 12 because the points are on the same vertical line; count spaces or subtract y-coordinates, 7 - (-5) = 12.
The triangle is a right triangle, so the Pythagorean Theorem can be used to find the length of the hypotenuse.
The perimeter of the triangle is 5 + 12 + 13 = 30
The height of the chimney above the floor of the observation deck is 52.4 ft
Two right angle triangle will be formed.
<h3>Right angle triangle:</h3>
Right angle triangle are triangle that has one of its angle as 90 degrees.
Therefore, using trigonometric ratio,
adjacent side = distance of observer from the bottom edge of the Delaware River drawbridge observation deck
Therefore,
tan 40 = opposite / adjacent
Where
x = height of the observer to the top of the observation deck
tan 40 = x / 200
x = 200 tan 40
x = 167.819926235
x = 167.82 ft
tan 30 = opposite / adjacent
y = height of the observer to the bottom of the observation deck
tan 30 = y / 200
y = 200 tan 30
y = 115.470053838
y = 115.47 ft
The height of the chimney above the floor of the observation deck = height of the observer to the top of the observation deck - height of the observer to the bottom of the observation deck
The height of the chimney above the floor of the observation deck = 167.82 - 115.47 = 52.35 ft
learn more on trigonometric ratio here: brainly.com/question/23854119
Answer:
Step-by-step explanation:
