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oksian1 [2.3K]
3 years ago
8

What radius of a circle is required to inscribe a regular hexagon with an area of 166.28 in2 and an apothem of 6.928 in?

Mathematics
2 answers:
Lunna [17]3 years ago
7 0
If you want to inscribe a polygon inside a circle, you have a formula that doesn't have to use the apothem. The formula is:

A = (nr²/2)sin(360/n)

Since the polygon is a hexagon, it has 6 sides. Thus, n = 6. Knowing the area, we can determine the radius of the circle, r.

166.28 = (6r²/2)sin(360/6)
r = 8 inches

Thus, the radius of the circle is 8 inches.
tresset_1 [31]3 years ago
7 0

Answer:8


Step-by-step explanation:


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A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 9 large boxes and 7 small boxes has a t
SVETLANKA909090 [29]
279-135=144 boxes so that means it is 134kg
8 0
3 years ago
Which of the following formulas, when evaluated using rational values for the variables, will result in an irrational number?
Lerok [7]

Answer:

a) The formula for the area of a circle  

Step-by-step explanation:

The formula for the area of a circle is  

A = πr²

π is an irrational number and, no matter what value you use for r, the area will be an irrational number,

b) is wrong. A = ½(a + b)h.  

c) is wrong. A = ½bh.

d) is wrong. A = bh.

All measurements are rational numbers, so the areas will be rational numbers.

8 0
3 years ago
Let f(x)=2.912345x^2+3.131579x-0.099999
Rudiy27
A.) Integers are positive and negative counting numbers. So, in order to find the integer coefficients, round off the coefficients in the equation to the nearest whole number. The function for g(x) is:

g(x) = 3x²+3x

B.) Substitute x=4 to the two functions.

f(x) = 2.912345x²<span>+3.131579x-0.099999
</span>f(4) = 2.912345(4)²+3.131579(4)-0.099999
f(4) = 59.023837

g(x) = 3x²+3x
g(4) = 3(4)²+3(4)
g(4) = 60

C.) The percentage error is equal to:

Percentage error = |g(4) - f(4)|/f(4)  * 100
Percentage error = |60 - 59.023837|/59.023837  * 100
Percentage error = 1.65%

D.) If x is a large number, for example x=10 or x=20, then g(x) would be an overestimate. This is because the value of x is raised to the power of 2. So, as the x increases, the corresponding function would increase exponentially. Even at x=4, g(x) is already an overestimate. What more for larger values of x? That means that the gap from the true answer f(x) would increase.
5 0
3 years ago
What is The Product of 4 and z is the same as 16 as an equation
Kaylis [27]

Answer:

4(z) = 16

Step-by-step explanation:

Product = the result of multiplication.

The same as = the equal sign.

7 0
3 years ago
Read 2 more answers
Y=2 + x; use x= 1, and y= 2
torisob [31]
Y=2+1
2+1=3
So y=3
The answer is y=3
6 0
3 years ago
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