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3 years ago

A regular octagon with sides of length 7 and an apothem of length 10.49 has an area of how many square units

Mathematics

1 answer:

Ray Of Light [21]3 years ago

6 0

Answer:

The area of the regular octagon is $293.72\ units^{2}$

Step-by-step explanation:

we know that

The area of the regular polygon is equal to

$A=\frac{1}{2}Pa$

where

P is the perimeter of the regular polygon

a is the apothem

<em>Find the perimeter P</em>

$P=8(7)=56\ units$

Find the area

$A=\frac{1}{2}(56)(10.49)=293.72\ units^{2}$

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Vladimir79 [104]

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Step-by-step explanation:

1. (x*10%) + (y*15%)/ x+y=12%

2. x+y = 1 x= 1-y

(0.1x + 0.15y/ x+y= 12/100) * 100

(10x + 15y/x+y = 12)*(x+y)

10x+15y= 12x + 12y

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3 years ago

Subtract. Write your answer in simplest form.

hichkok12 [17]

Answer:

No. it would be 4 3/14

Step-by-step explanation:

5-1=4

common denominator is 14 to get there,

1x7=7

2x7=14

2x2=4

7x2=14

7/14 - 4/14 = 3/14

put it all back together and you get 4 3/14

7 0

3 years ago

The length of the rectangle is 3 times its width.

Blizzard [7]

Answer:

Since length is three times, hence it is 6 inches.

let the width be x.

then, length= 3x

perimeter= 16 inches.

perimeter of a rectangle = 2( L+B)

2(3x+x)=16.

3x+x= 16÷2

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since length=3x

hence, 3×2= 6 inches

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3 years ago

I need help please help me

Mrrafil [7]

Answer:

$y=\dfrac{1}{36}x^2$

Step-by-step explanation:

Where p is the distance from focus to vertex, the equation of the parabola with focus at (0, p) is ...

$y=\dfrac{1}{4p}x^2$

Your parabola has p=9, so the equation is ...

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3 years ago

What is the value of k if √10 * k + 3 = 5?

Fittoniya [83]

Answer:

See explanation

Step-by-step explanation:

We want to find the value of k in

$\sqrt{10k} + 3 = 5$

We subtract 3 from both sides;

$\sqrt{10k} = 5 - 3$

Simplify on the right;

$\sqrt{10k} = 2$

Square both sides;

$10k = 4$

$k = 0.4$

If your equation in actually

$\sqrt{10k + 3} = 5$

Square both sides:

$10k + 3 = 25$

$10k = 22$

$k = 2.2$

7 0

3 years ago