The cost to cover the cirular region with mud is about $2940
<h3>How to calculate
area?</h3>
The circumference of the circular region is about 157 feet. Hence:
circumference = 2π * radius
157 = 2π * radius
Radius = 78.5 / π
The area is given as:
Area = π * radius² = π(78.5 / π)² = 1961.5 ft²
Cost = $1.5 * 1961.5 = $2940
The cost to cover the cirular region with mud is about $2940
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is proved
<h3><u>
Solution:</u></h3>
Given that,
------- (1)
First we will simplify the LHS and then compare it with RHS
------ (2)

Substitute this in eqn (2)

On simplification we get,


Cancelling the common terms (sinx + cosx)

We know secant is inverse of cosine

Thus L.H.S = R.H.S
Hence proved
Answer: C add 4 to both sides
I hope this helps you !
Answer:
Therefore, the measure of angles x is 55°.
Step-by-step explanation:
From the given figure ,
105° is the exterior angle
x° and 50° are the two interior opposite angles to 105°
We know that
An exterior angle formed by extending the side of a triangle is equal to the sum of the two interior opposite angles
⇛ x° + 50° = 105°
⇛ x° = 105°-50°
⇛ x° = 55°
Therefore , x = 55°
<u>Exterior</u><u> </u><u>Angle:</u><u>↓</u>
An exterior angle formed by extending the side of a triangle is equal to the sum of the two interior opposite angles.
Hope this helps!!
The definition of a prime number is one in which there are no factors other than 1 and itself. For example, 5 has no other factors other than 1 and 5 (itself).
The number 1 is not considered prime nor composite.So, even though it is a square (1²), it is not a prime number.
All square numbers have a square root that is neither 1 nor itself: 16 is the square of 4, 49 the square of 7, and so on.
Due to the fact that square numbers have factors other than 1 and itself, square numbers are not prime.
Hope this helps! :)