The required area of pentagon is 212.36 mm².
Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.
Given that,
radius of pentagon = 9 mm
Since in pentagons there are 5 sides.
Therefore,
Area is = (5/4)x s² x tan(π/5)
Where s is the pentagon's length along one side.
Use the pentagon's radius to get s using the following calculation
since we already know,
S = 2x radius x sin(π/5)
When we enter the values ,
we obtain: s = 2 x 9 x sin(π/5)
= 14.56 mm.
We can now enter this value of s into the area formula as follows:
Area = (5/4) x s² x tan(π/5)
= 212.36mm².
Consequently, the regular pentagon's area with a 9 mm radius is roughly 212.36 mm²
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The area is calculated by using the formula A=(r^2)*n*sin(360/n)/2 where n is the number of sides which is 5 for pentagon and r is the radius which is 9 mm. So, using the formula, the answer is 51.4 mm^2.
The equation of Graham cable is h(t) = -16t² + 1.5t + 18 while The equation of Hunter ball is h(t) = -16t² + 24t + 5
An equation is an expression that shows the relationship between two or more numbers and variables.
The height of a projectile at time t is:
h(t) = -16t² + ut + h'
Where u is the initial velocity and h' is the initial height.
The equation of Graham cable is:
h(t) = -16t² + 1.5t + 18
The equation of Hunter ball is:
h(t) = -16t² + 24t + 5
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a.5/2
b.2
c.1/2
The solution of the given equation is x = -5
So, the correct solution for x is x = -5.
Given is an equation 5x = -25, we need to solve for x.
We must place the variable x on one side of the equation in order to solve the equation 5x = -25 for x.
The objective is to identify the x value that solves the equation.
Here is how to calculate the equation step by step:
Start with the first step's equation, 5x = -25.
Step 2: We want to remove the 5th coefficient from x in order to isolate it. In order to accomplish it, we'll use the inverse operation, which involves multiplying both sides of the equation by 5:
(5x) / 5 = (-25) / 5.
Step 3: The right side becomes -5 while the left side becomes x.
x = -5.
Step 4: At this point, we know that x has the value -5.
Hence, the answer to the equation is x = -5.
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Answer:
The expected number of students to prefer summer=245
Step-by-step explanation:
Step 1
Determine the number of students that prefer summer as their favorite season, and the sample size
number that prefer summer=7
sample size=10
Step 2
Determine the probability of a student picking summer as their favorite season as shown;
Probability=number that prefer summer/sample size
Probability=7/10=0.7
Step 3
Determine the total number of students out of the total population that can be expected to prefer summer as follows;
Expected number of students=probability×total number of students
where;
probability=0.7
total number of students=350
replacing;
Expected number of students=(0.7×350)=245
The expected number of students to prefer summer=245