The inner dimensions of an in-ground swimming pool are: width = 13.0 ft, length = 18.0 ft, and depth = 9.0 ft. The pool walls an
1 answer:
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Answer:
(25,18) is the required solution.
Step-by-step explanation:
We are given the following in the question:
Let x be the number of trips to the airport and y represent the number of trips from the airport.
Total number of fares to and from the airport = 43
Thus, we can write the equation:
Price for a ride to the airport = $12
Price for a ride from the airport = $10
Total amount collected by the driver = $480
Thus, we can write the equation:
Solving the two equations, we get,
Thus, the driver made 25 trips to the airport and 18 trips from the airport.
The solution can be represented as (25,18)
<h2>Answer:</h2>
B. |y| = 1.6
<h2>Step-by-step explanation:</h2>A sketch of the vector is attached to this response.
As shown, the vector lies on the second quadrant and its horizontal and vertical components are given by x and y respectively.
Where;
|x| = v cos θ -----------------(i)
|y| = v sin θ -----------------(ii)
and
v = magnitude of the vector = 2.5km/hr
θ = angle that the vector makes with the +x axis = 90° + 50° = 140°
<em>To get the magnitude of the vector's vertical component</em>
<em>Substitute these values into equation(ii) as follows;</em>
|y| = 2.5 sin 140°
|y| = 2.5 x 0.6428
|y| = 1.607
|y| ≅ 1.6 km/hr
Therefore, the vertical component of the vector has a magnitude of 1.6 km/hr.
Answer:
19 square units
Step-by-step explanation:
Hello!
Step 1: Plot the points
We are first going to plot the points on the coordinate graph and connect the points to create a shape.
Refer to attachment titled "Step 1"
Step 2: Box the shape
Since this is an irregular shape, I'm going to make a box around the shape and subtract the area of the empty spaces to find the area of the original polygon.
Refer to attachment titled "Step 2"
Step 3: Area of Edges
We are going to find the area of the shapes A, B, and C and subtract them from the area of the big box to find the area of the polygon.
Area of a triangle = 1/2(base x height)
- Area of Box = 6 un x 7 un
- Area of Box = 42 un²
Area of A:
- Area A = 1/2(4 un x 2 un)
- Area A = 1/2(8 un²)
- Area A = 4 un²
Area of B:
- Area B = 4 un x 4 un
- Area B = 16 un²
Area of C:
- Area C = 1/2(2 un x 3 un)
- Area C = 1/2(6 un²)
- Area C = 3 un²
Step 4: Area of the polygon
Now, we can simply subtract the values of A, B, and C from the box to get the area of the polygon.
- Area Polygon = Box - A - B - C
- Area Polygon = 42 un² - 4 un² - 16 un² - 3 un²
- Area Polygon = 38 un² - 16 un² - 3 un²
- Area Polygon = 22 un² - 3 un²
- Area Polygon = 19 un²
The area of the polygon is 19 un²
-Chetan K
