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fenix001 [56]
2 years ago
13

A tax that is collected by a company based on sales of products or services

Mathematics
1 answer:
Darya [45]2 years ago
6 0
A Jew on juice and H
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The angle of elevation to the top of a water tower from point A on the ground is 19.9°. From point B, 50.0 feet closer to the to
zepelin [54]

Answer:

Answer in terms of a trigonometric function :

h = \frac{20tan(19.9)}{0.4-tan(19.9)}

Answer in figures

h = 190.5 feet

Step-by-step explanation:

Consider the sketch attached below to better understand the problem.

Let x be the distance between point B and the base of the water tower.

tan (19.9)=\frac{h}{50+x} ---------------equation 1\\

tan (21.8)=\frac{h}{x}----------------equation 2

From equation 2,

x =\frac{h}{tan21.8}=\frac{h}{0.4}

substituting the value of x into equation 1, we get

tan (19.9)=\frac{h}{50+(\frac{h}{0.4} )}

tan 19.9=h\times \frac{0.4}{20+h}

cross multiplying,

20\times tan(19.9) +htan(19.9)=0.4h

20tan(19.9)= h(0.4-tan(19.9))

h= \frac{20tan (19.9)}{0.4-tan (19.9)}

The height of the tower is h= \frac{20tan (19.9)}{0.4-tan (19.9)} in terms of the trig function "Tan"

The equation can simply be evaluated to get the answer in figures since the angles are given in the question

5 0
3 years ago
The price of 1 gallon of milk has increased $3.24 to $4.05. What is the percentage
AURORKA [14]
4.05 - 3.24 = 0.81
(0.81 / 3.24)*100 = 25%
5 0
3 years ago
Six players compete in a tournament. Each player plays exactly two
siniylev [52]

Step-by-step explanation:

6 players.

every player plays 2 games against every other player.

so, for each player there are 5 "other players" and everybody plays therefore 10 games.

the maximum number of points to get is 10×2 = 20 points.

the question is now not what is the minimum number of points a champion can have.

the question is rather what is the minimum number of points to guarantee the win of the championship no matter how the others played.

so, the study case scenario for the winner is to have only one real competitor for the title.

both players win every game against the other 4 players.

that is already 2×4×2 = 16 points.

and now it all depends on the 2 games against each other. to be sure, the winner needs at least 1 win and 1 tie in these 2 games. that are 3 more points.

so, to be absolutely sure, the champion needs to have at least 16+3 = 19 points.

8 0
2 years ago
The length of a square is six inches long.Kingsley drew a rectangle with the same area as the square.The length of Kingsley’s re
schepotkina [342]

let breadth of rectangle is b

then

area of square = area of rectangle

6 × 6 = l× b = 9 × b

36 = 9b

dividing by 9 both side

36/9 = 9b/9

4 = b

b = 4 inch

so l = 9 inch

perimeter of rectangle = 2 (l + b)

= 2 ( 9+4)

= 26 inch

3 0
2 years ago
Find the area of the shape shown below.
loris [4]
10 square units.

The quadrilateral is 2 x 2 = 4
Triangle a 2 x 2 = 4; divided by 2 = 2
Triangle b 4 x 2 = 8; divided by 2 4

4 + 2 + 4 = 10 units squared
8 0
3 years ago
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