I need help with number 3

Mathematics

1 answer:

Lynna [10]3 years ago

6 0

The hexagon divides the circle into 6 parts. That means the angle projecting each side is: 360°÷ 6 = 60°

The area of a circle is: πr²
78.54 in² divided by pi is 25 making the radius = 5

I would then use SOH CAH TOA to solve for the side.. knowing the hypotenuse is the radius and the angle to split it into a right triangle is 30°

Sin(30) = s/5
5*Sin(30) = s

12*s = perimeter hexagon
(remember s is half the hexagon side)

12*5*Sin(30) = perimeter hexagon
30 inches = perimeter

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3. Given that a is 30% of b, find the value of a/4b

Karolina [17]

Answer:

a/4b = 0.075

Step-by-step explanation:

a = 30% of b

a = 30/100 × b

a = 0.3b

The value of a/4b is calculated as:

= 0.3b/4b

= 0.075

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2 years ago

2(a³+b²+11)+1(3+a³+b+11)

Ann [662]

Answer:

$2(a^3+b^2+11)+1(3+a^3+b+11)=3a^3+2b^2+b+36$

Step-by-step explanation:

I assume that you need simplification of the given expression.

The given expression is:

$2(a^3+b^2+11)+1(3+a^3+b+11)$

Using distributive property and multiplying 2 inside the parenthesis and 1 inside the other parenthesis. This gives,

$2(a^3+b^2+11)=2\times a^3+2\times b^2+2\times 11\\2(a^3+b^2+11)=2a^3+2b^2+22\\\\1(3+a^3+b+11)=1\times 3+1\times a^3+1\times b+1\times 11\\1(3+a^3+b+11)=3+a^3+b+11=a^3+b+14$