Answer:
Step-by-step explanation:
The pool are is divided into 4 separated shapes: 2 circular sections and 2 isosceles triangles. Basically, to calculate the whole area, we need to find the area of each section. Due to its symmetry, both triangles are equal, and both circular sections are also the same, so it would be enough to calculate 1 circular section and 1 triangle, then multiply it by 2.
<h3>Area of each triangle:</h3>
From the figure, we know that <em>b = 20ft </em>and <em>h = 25ft. </em>So, the area would be:
<h3>Area of each circular section:</h3>
From the figure, we know that 
and the radius is 
. So, the are would be calculated with this formula:
Replacing all values:
Remember that 
Therefore, 
Now, the total are of the figure is:
Therefore the area of the symmetrical pool is
The number of whole number is 23 through subtracting the numbers. hope it helps ☺️
Answer:
v0 + 1/2at
Step-by-step explanation: Given that the distance a race car travels is given by the equation d = v0t+12at2 where v0 is the initial speed of the race car, a is the acceleration, and t is the time travelled.
The equation for the driver's average speed s during the acceleration will be:
(v0t+12at2) / t
Since Average speed is equal to distance divided by time.
Therefore, the equation will be:
v0+1/2at
Using translation concepts, the transformations are given as follows:
a) The function is horizontally compressed by a factor of 3 and shifted down one unit.
b) The function is shifted right 3 units and vertically stretched by a factor of 2.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
Item a:
The transformations are:
- x -> 3x, hence the function is horizontally compressed by a factor of 3.
- y -> y - 1, hence the function is shifted down one unit.
Item b:
The transformations are:
- x -> x - 3, hence the function is shifted right 3 units.
- y -> 2y, hence the function is vertically stretched by a factor of 2.
More can be learned about translation concepts at brainly.com/question/4521517
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The answer is 71°.
x = angle
3x = 90 - x - 14
4x - 76
x = 19°
90 - x = 71°
