Answer: the height of the flagpole is 21 ft
Step-by-step explanation:
Since the angle of elevation to the top of the flagpole is 40°, a right angle triangle is formed. The height of the flagpole represents the opposite side of the right angle triangle. Your distance from the base of the flagpole represents the adjacent side of the right angle triangle. Therefore, to determine the height of the flagpole, x ,we would apply the tangent trigonometric ratio which is expressed as
Tan θ = opposite side/adjacent side
Tan 40 = x/25
x = 25tan40 = 25 × 0.8391
x = 20.98
x = 21.0 ft to the nearest tenth.
A game center has a $5 admission fee (this is the y-intercept of the equation)
It charges $0.50 for each game played (this is the slope of the equation)
The equation can be written as

Where y is the cost and x is the number of games played.
To plot the graph, you can either find some (x, y) coordinates using the above equation.
Or you can plot it using the concept of slope and y-intercept.
Start at the point of y-intercept (0, 5)
The slope is 0.50 = 1/2
Then go 1 unit up and two units to the right that is your next point.
Repeat the same, 1 unit up and two units to the right that is your next point and so on...
Let us plot the graph
Scale: one small box = 1 unit
x-axis = number of games
y-axis = Cost ($)
<em><u>a=1. </u></em>to do this you subtract 2 from both sides to isolate x. then divide both sides by 5 to get x = ?
Answer:
(a) A cross sectional study (b) The parameter can be computed as follows: Non-drinkers who agree exposed to obesity, Drinkers who are exposed or vulnerable to obesity (c) A postie relationship is established from the experiment between drinkers who are exposed to obesity and non drinkers who are exposed to obesity
Step-by-step explanation:
(a) The type of design is refereed to as a cross sectional study
(b) Now, because 50 men are beer drinkers out of 891 men.
Hence we can deduce form this that 500/891 gives us 0.56%.
This suggest that 0.56% men are beer drinkers out of which 325 have obesity, lets take for example 235/500 = 0.65% are exposed to obesity in which 80/ (89-500) = 80/491 = 0.16%
The non drinkers are 0.16% and are not exposed to obesity
Thus,
The parameters to be calculated is stated below:
- Non-drinkers who agree exposed to obesity
- Drinkers who are exposed or vulnerable to obesity
(c) The next step is to determine and explain the results.
In this case we can say there is a positive relationship between drinkers and non drinkers, since from the experiment 0.65% are exposed to obesity and 0.16$ non drinkers are exposed to obesity.
Using proportions, it is found that the length of the drawing is of 2.583 feet.
---------------
- Scale problems are solved using proportions, by a rule of three.
- The length of the front is of 155 feet.
- The drawing has a scale of 1/60 of the actual size, that is, each actual feet is worth 1/60 on the drawing.
Thus:
1 feet - 1/60 feet
155 feet - x
Applying cross multiplication:

The length of the drawing is of 2.583 feet.
A similar problem is given at brainly.com/question/24105256