The length of rectangle is 15 feet and width is 7 feet.
Step-by-step explanation:
Given,
Width of rectangle = w
Length of rectangle = 2w+1
Perimeter = 44 feet
Perimeter = 2(Length+Width)
Dividing both sides by 6
The width of rectangle is 7 feet.
Length of rectangle = 2(7)+1 = 14+1 = 15 feet
The length of rectangle is 15 feet and width is 7 feet.
Keywords: rectangle, perimeter
Learn more about rectangles at:
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Answer:
A'(-2, 1), B'(1, 0), C'(-1, 0)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.
If a point X(x, y) is translated a units right and b units down, the new location is X'(x + a, y + b) whereas if a point X(x, y) is translated a units left and b units up, the new location is X'(x - a, y - b).
If a point X(x, y) is rotated 90° clockwise about the origin, the new location is X'(y, -x)
From the image attached, ∆ABC is at A(0, 0), B(1,3) C(1, 1)
If ∆ABC is translated 2 units down and 1 unit to the left (x - 1, y - 2), the vertices would be A*(-1, -2), B*(0, 1), C*(0, -1)
If it is then rotated 90° clockwise about the origin, the new location is A'(-2, 1), B'(1, 0), C'(-1, 0)
Answer: The answer is (22, 15).
Step-by-step explanation: Given that 'x' represents the number of cars Leonard has and 'y' represents the number of cars Liam has.
Then, according to the given information, we have
Multiplying the first equation by 2 and adding to the second equation, we have
So,
Therefore, Leonard has 22 cars and Liam has 15 cars.
Thus, (22, 15) is the solution to the given system.
Answer:
The angle of elevation to the top of the building is 63.61 degrees
Step-by-step explanation:
Here, we want to calculate angle of elevation to the top of the building.
For this, we need a triangle
Please check for this in the attachment.
From the diagram, we are to calculate the angle theta.
To do this, we use trigonometric identities.
Looking at what we have, we have the hypotenuse and the adjacent.
So the trigonometric identity to use is the cosine
Mathematically Cosine theta = adjacent/hypotenuse
Thus, Cos theta = 20/45
Cos theta = 0.444444444444444
Theta = Arc cos(0.444444444444444)
Theta = 63.61 degrees
