Answer:
9.17 feet.
Step-by-step explanation:
See the diagram attached to this answer.
Let, AB is the pole and CD is the tree.
From the top of the pole to the base of the tree the angle of depression as per the condition is 63°.
So, ∠ EBC = ∠ ACB = 63° {Since, BE ║ AC}
So, from Δ ABC,
{Given height of the tower AB = 18 feet}
⇒
feet.
Therefore, the distance between the pole and the tree is 9.17 feet. (Answer)
Answer: i think its 80
Step-by-step explanation:
i rounded
Answer:
a. On the 13th day
b. 2,451 players we’re sold on that day
Step-by-step explanation:
a. The day in which the company sold the same number of players can be calculated by equating the values of y that we have ;
y = 191x-32 and y = -x^2 + 200x + 20
Equating both, we have;
191x-32 = -x^2 + 200x + 20
x^2 -200x + 191x-20-32 = 0
x^2-9x-52 = 0
x^2-13x + 4x -52 = 0
x(x-13)+4(x-13) = 0
(x-13)(x+4) = 0
x = 13 or -4
as days cannot be negative we choose only x = 13
This means the company sold equal numbers of players on the 13th day
b. To get the number of players sold on that day, we choose any of the y equation and substitute x = 13
Thus, we have for y = 191x -32; 191(13) - 32 = 2,451 players
The percentage of this plane that's enclosed by the pentagons is closest to: D. 56.
<h3>How to determine the percentage?</h3>
Since the side of the small square is a, then the area of the tile is
given by:
Area of tiles = 9a²
<u>Note:</u> With an area of 9a², 4a² is covered by squares while 5a² by pentagons.
This ultimately implies that, 5/9 of the tiles are covered by pentagons and this can be expressed as a percentage as follows:
Percent = 5/9 × 100
Percent = 0.555 × 100
Percent = 55.5 ≈ 56%.
Read more on area of square here: brainly.com/question/8902873
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Complete Question:
The plane is tiled by congruent squares of side length a and congruent pentagons of side lengths a and a²/a, as arranged in the diagram below. The percent of the plane that is enclosed by the pentagons is closest to (A) 50 (B) 52 (C) 54 (D) 56 (E) 58
9)The triangles are congruent as they share all sides as seen with the lines (SSS)
10) they are not congruent as they only share 2 sides not all 3
11)they are congruent by using the Angle Side Angle, they share a vertices
12)they are congruent, by using the side angle side
13)They are congruent by using side side side, one is shared between the two
14)they are congruent by using the angle side angle