A regular nonagon has an area of 102.4 and one side length measures 7 units long. Find the apothem. Round to the nearest tenth, if necessary.

Apothem = 3.3 units

Step-by-step explanation:

A regular nonagon has an area of 102.4 and one side length measures 7 units long. Find the apothem. Round to the nearest tenth, if necessary.

The formula to find the area of a polygon when given Apothem and Side length =

A = 1/2 × a × p

Where p = no of sides of polygon × side length

In the above question,

We are given a polygon = nonagon = 9 sides

Side length = 7 units

p = 9 × 7 = 63 units

Area = 102.4 square units

Apothem = a = ?

We substitute into the formula

102.4 = 1/2 × a × 63

102.4 = 63a/2

Cross Multiply

102.4 × 2 = 63a

Divide both sides by 63

a = 102.4 × 2/63

a = 3.2507936508 units

Approximately to the nearest tenth = 3.3 units

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!