Answer:
Area pf the regular pentagon is 193
to the nearest whole number
Step-by-step explanation:
In this question, we are tasked with calculating the area of a regular pentagon, given the apothem and the perimeter
Mathematically, the area of a regular pentagon given the apothem and the perimeter can be calculated using the formula below;
Area of regular pentagon = 1/2 × apothem × perimeter
From the question, we can identify that the value of the apothem is 7.3 inches, while the value of the perimeter is 53 inches
We plug these values into the equation above to get;
Area = 1/2 × 7.3× 53 = 386.9/2 = 193.45 which is 193 to the nearest whole number
Solution
f(r) = 3.14
Now we have to find the area of the circle when the radius (r) = 4.
Plug in r = 4 in f(r) to get the area of the circle.
f(4) = 3.14
f(4) = 3.14 * 4 * 4
f(4) = 3.14 *16
f(4) = 50.24
The answer is C. 50.24
There are 12 ways he can pay this amount using the notes he has the answer is 12.
<h3>What are permutation and combination?</h3>
A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
Let x be the number of Rs10 notes and y be the Rs20 note
10x + 20y = 220
The whole number of x and y which satisfy the above equation:
x = 0, y =11
x = 2, y =10
x = 4, y =9
x = 6, y =8
x = 8, y =7
x = 10, y =6
x = 12, y =5
x = 14, y =4
x = 16, y =3
x = 18, y =2
x = 20, y =1
x = 22, y =0
Total number of ways = 12
Thus, there are 12 ways he can pay this amount using the notes he has the answer is 12.
Learn more about permutation and combination here:
brainly.com/question/2295036
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Translated means the points are moving across the plane without rotating or changing shape. In this case, the x-coordinate would be moving up 5 (x + 5) and the y-coordinate would be moving to the left 4 (y - 4).
A is (-8, 6). A' is the result of the translation from this point. The results of the solution above in A is the point (-3, 2) = A'.
Now you must find the distance between these two coordinates. To find the distance you must use the distance formula: √<span>(x2 - x1)^2 + (y2 - y1)^2. Since you now have two points, A and A', plug these into the distance formula.
</span>√(-3 - (-8))^2 + (2 - 6)^2
√5^2 + (-4)^2
√25 + 16
√41
The distance from A to A' is √41.
