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2 years ago

Find the area of a regular octagon with an apothem of 7 inches and a side length of 5.8 inches. (nearest tenth)

Mathematics

1 answer:

Kisachek [45]2 years ago

6 0

Answer:

162.4 in²

Step-by-step explanation:

LETS GET INTOOOOEEETTT

Let's start with what we know:

Area of regular octagon = 1/2 x perimeter x apothem

We know the apothem, so all that we need to find to fill in the above equation is the perimeter:

perimeter = 8 x 5.8 = 46.4in

Now we can fill in our original equation and solve:

Area of regular octagon = 1/2 x perimeter x apothem

Formula = n (s/2)² divided by tan( π /n)

= 8 (5.8/2)² divided by tan ( π /8)

= 162.4283 in²

ORRR when rounded to the nearest tenth,

=162.4 in²

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rank has a circular garden. The area of the garden is 100 ft2. What is the approximate distance from the edge of Frank’s garden

Ray Of Light [21]

It is given that the area of the circular garden = 100 $ft^2$

Area of circle with radius 'r' = $\pi r^2$

We have to determine the approximate distance from the edge of Frank’s garden to the center of the garden, that means we have to determine the radius of the circular garden.

Since, area of circular garden = 100

$\pi r^2 = 100$

$\frac{22}{7} \times r^2 = 100$

$r^2 = \frac{700}{22}$

$r^2 = 31.8$

$r = \sqrt{31.8}$

So, r = 5.6 ft

r = 6 ft (approximately)

Therefore, the approximate distance from the edge of Frank’s garden to the center of the garden is 6 ft.

So, Option A is the correct answer.

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2 years ago

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Michael and Mindy are working on a project about names. Using a phone book, Michael randomly selected ten people and recorded ho

Harman [31]

Answer: A. About 75% of the time, the median number of letters from the samples of first names was greater than or equal to 5. about the same percentage of the time, the median number of letters from the samples of last names was less than or equal to 5

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1 year ago

45?45 which symbols correctly relates the two numbers below

kodGreya [7K]

The equal symbol does

=

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2 years ago

NEED HELP WILL GIVE 5 STAR, THANKS, AND BRAINLIEST FOR BEST ANSWER PLEASE HELP ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

yulyashka [42]

Answer:

h = -t+20

After 8 hours the candle will be 12 inches

Step-by-step explanation:

We have 2 points (time, inches)

(3,17) and (5,15)

We can find the slope

m = (y2-y1)/(x2-x1)

= (15-17)/(5-3)

= -2/2

= -1

We can use point slope form

y-y1 = m(x-x1)

Replace y with h and x with t

h-17 = -1 (t-3)

Distribute

h-17 = -t+3

Add 17 to each side

h-17+17 = -t+3+17

h = -t+20

After 8 hours

h = -t+20

h = -8+20

h= 12

4 0

2 years ago

PLEASE HELP ASAP!!!!!! Quadrilateral PQRS, with vertex P(-5, -3), undergoes a transformation to form quadrilateral P′Q′R′S′, wit

Nana76 [90]

Answer:

The vertex Q' is at (4,5)

Step-by-step explanation:

Given:

Quadrilateral PQRS undergoes a transformation to form a quadrilateral P'Q'R'S' such that the vertex point P(-5,-3) is transformed to P'(5,3).

Vertex point Q(-4,-5)

To find vertex Q'.

Solution:

Form the given transformation occuring the statement in standard form can be given as:

$(x,y)\rightarrow (-x,-y)$

The above transformation signifies the point reflection in the origin.

For the point P, the statement is:

$P(-5,-3)\rightarrow P'(5,3)$

So, for point Q, the transformation would be:

$Q(-4,-5)\rightarrow Q'(-(-4),-(-5))$

Since two negatives multiply to give a positive, so, we have:

$Q(-4,-5)\rightarrow Q'(4,5)$

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2 years ago