Answer: 360
Step-by-step explanation: All you got to do is multiply 120 by 3
The formula for calculating the area of a circle is expressed as;
A = πr²
- Area of the pond = πr²
- Area of the path = Area of the path + pond - area of pond
- Area of path = π(r+1.5)² - πr²
Since the area of the path is equal to the area of the pond, hence;
π(r+1.5)² - πr² = πr²
Add πr² to both sides
π(r+1.5)² - πr² + πr² = πr² + πr²
π(r+1.5)² = 2πr²
(r+1.5)² = 2r²
Expand the parenthesis
r²+3r + 2.25 = 2r²
r²+3r + 2.25 - 2r² = 0
-r² + 3r + 2.25 = 0
r² - 3r - 2.25 = 0
Multiply through by 2
2r² - 6.0r - 4.5 = 0
<em>This proves the required equation</em>
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Learn more on area of composite figures here: brainly.com/question/15981553
Length =l
Height = h
Area function = l * h = 924
Perimeter function = 2i + 2h = 122
Divide by 2
I + h = 61.
Plug in I or h for the other variable
I * (61 - I) = 924
61i - i^2 = 924
Factor the function
(-I + 28)(I - 33) = 0
l = 33 as l cannot be negative
61 - 33 = 28
h = 28
Difference between h and l is 33-28=5
Answer:
see explanation
Step-by-step explanation:
sinΘ is only valid for values in the interval
- 1 ≤ Θ ≤ 1
sinΘ =
is outwith this interval and is not valid
Answer:
The correct answer is option (E)
Step-by-step explanation:
Solution to the question
Let us recall from given question that,
H0:p=0.80
Ha:p≠0.80 (which is the two tailed test)
For the p-value we have,
P-value: Let us assume that the null hypothesis is true, then the probability of observing the sample statistics or the more extreme,
Therefore if p= 0.80, the probability of observing or detecting proportion of samples is of at least 0.84 or at most 0.76 is 0.273.