Answer:
see explanation
Step-by-step explanation:
There is a right triangle formed between the height above the tower to the plane, the horizontal and the line from the tower to the plane.
The height above the tower to the plane = 13000 - 150 = 12850 ft
The angle between the plane and the tower is 20° , angle of depression.
Using the tangent ratio in the right triangle formed, with the adjacent side being the horizontal ( hor ) distance, then
tan20° = 
= 
( multiply both sides by hor)
hor × tan20° = 12850 ( divide both sides by tan20° )
hor = 
≈ 35305 ft ( to the nearest foot )
(2)
Arianna is 60 + 5 = 65 ft above the ground ( to her eye level )
Using the right triangle formed with legs 65 and 37 and angle of depression x, then
tanx° = = 
, thus
x = 
( ) ≈ 30° ( to the nearest degree )
Answer:
2x+6-(x^2+6x+9)*pi
Step-by-step explanation:
2*(x+3) - (x+3)^2*pi
2x+6-(x^2+6x+9)*pi
um I think there are answer choices so I don't know if I have to keep going but that should be right
Answer:
you have to round down because if you round up she wouldn't have enough money. And you can't buy half a book.
Step-by-step explanation:
An equation of the circle that will pass through the four (4) vertices of the square is (x + 2)² + y² = 2².
<h3>How to find the equation of this circle?</h3>
Mathematically, the general form of the equation of a circle is given by;
(x - h)² + (y - k)² = r²
Where:
- h and k represents the coordinates at the center.
- r is the radius of a circle.
<u>Note:</u> The center of a circle lies on the midpoint of the diagonal of a square, which is formed by joining its endpoints (opposite).
Midpoint on x-coordinate is given by:
Midpoint = (-2 - 2)/2
Midpoint = -4/2 = -2.
Midpoint on y-coordinate is given by:
Midpoint = (-2 + 2)/2
Midpoint = 0/2 = 0.
Thus, the center (h, k) = (-2, 0).
For the radius, we have:
r = √(-2)² + 0²
r = √4 = 2.
Substituting the parameters into the general equation, we have;
(x - (-2))² + (y - 0)² = 2²
(x + 2)² + y² = 2²
Read more on circle here: brainly.com/question/1615837
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Based on the calculations, we can describe the area of the striped rectangle as 4/10 × 2/3.
<h3>What is a rectangle?</h3>
A rectangle can be defined as a type of quadrilateral in which its opposite sides are equal and all the angles formed are right angle.
<h3>How to calculate the area of a rectangle?</h3>
Mathematically, the area of a rectangle can be calculated by using this formula;
A = LW
<u>Where:</u>
- A represents the area of a rectangle.
- l represents the length of a rectangle.
- w represents the width of a rectangle.
<u>Given the following data:</u>
Width = 3 rectangles (top to bottom).
Length = 10 rectangles (left to right).
Substituting the given parameters into the formula, we have;
Area = 10 × 3
Area = 30 rectangles.
From the diagram (see attachment), we can logically deduce that the striped rectangle comprises 8 rectangles, and the required area is given by:
Area of striped rectangle = 8/20 of the other portions
Area of striped rectangle = 8/20 × 20/30
Area of striped rectangle = 4/10 × 2/3.
Read more on area of a rectangle here: brainly.com/question/25292087
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