Number 5? Pre Cal- A small airplane is cruising at an airspeed of 235 kph heading in a direction of 45° (measured from the posit
ive z-axis). The wind is blowing at 60kph in a direction of 120°. Find the resulting direction and groundspeed of the airplane to the nearest whole number.
1 answer:
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Answer:
<em>The length of the line segment AB is 17.1</em>
Step-by-step explanation:
<u>Distance Between two Points in the Plane</u>
Given two points A(x1,y1) and B(x2,y2), the distance between them is:
We are given the points A(12,-2) and B(-4,-8). Applying the formula:
d = 17.1
The length of the line segment AB is 17.1
Answer:
a. $3,600 - $400 × m
b. $3,600 - $400 × m = $2,000
c. $3,600 is the initial account balance of the bank checking account
$400 × m is the amount removed from the account after t months such that the final account balance of the bank checking account is $2,000
$2,000 is the final account balance of the bank checking account
d. P lease find attached, the required plot and the included solution to part (b)
Step-by-step explanation:
The given information are;
The initial account balance of the bank checking account = $3600
The amount removed from the account monthly for the car payment = $400
a. The expression representing the amount in her account (her account balance) is given as follows;
Amount in her account is $3,600 - $400 × m
Where;
m = The number of months
b. The equation whose solution is the amount of months, m, it takes for the account balance to reach $2,000 is given as follows;
$3,600 - $400 × m = $2,000
c. The parts of the equation are;
$3,600 = The initial account balance of the bank checking account
$400 × m = The amount removed from the account after t months such that the final account balance of the bank checking account is $2,000
$2,000 = The final account balance of the bank checking account
d. Please find attached the required plot and the included solution to part (b)
240 inches cut into 2 equal pieces is just taking half of the wire.
Making the two pieces of wire 120 inches.
If you bend one 120 inch wire into a square, that means that each side equals 30 inches. (A square has 4 sides. 120/4 = 30)
An area of a square is length times width, which the length equals 30 and width equal to thirty. 30 * 30 = 900. square inches.
120 wire bent into a triangle makes each side equal to 40. 120/3=40. The area of an equilateral triangle is height times width. The width is just one of the sides (40 inches) but the height needs some geometry. To find the height you need to use either 30 times sin(60) or 30 times cos(30), both are equal. To be clear, I will leave the height as 30sin(60). The area will be equal to
which can be simply written as 1200sin(60).
So the sum of both areas is
Making the two pieces of wire 120 inches.
If you bend one 120 inch wire into a square, that means that each side equals 30 inches. (A square has 4 sides. 120/4 = 30)
An area of a square is length times width, which the length equals 30 and width equal to thirty. 30 * 30 = 900. square inches.
120 wire bent into a triangle makes each side equal to 40. 120/3=40. The area of an equilateral triangle is height times width. The width is just one of the sides (40 inches) but the height needs some geometry. To find the height you need to use either 30 times sin(60) or 30 times cos(30), both are equal. To be clear, I will leave the height as 30sin(60). The area will be equal to
which can be simply written as 1200sin(60).
So the sum of both areas is
Answer:
106.6
Step-by-step explanation:
There is a triangle and rectangles inside of this shape. You need to split it up so you can find all the sides of the triangle and the squares. The attached image shows me doing that.
Now you need to calculate the area for all the rectangles and triangles.
The area of a triangle is A = bh / 2
The area of a rectangle is A = lw
The area of a square is A = s^2 or s * s.
Add up the area of all geometry together to get your answer.
10.2 is the area of the triangle
17.6 is the area of 4.4 by 4 rectangle
36.5 is the area of the 8.3 by 4.4 rectangle
42.3 is the area of the 8.3 by 5.1 rectangle.
The total area of the figure shown is ≈ 106.6
