All categories

3 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]3 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

You might be interested in

Find the volume of this irregular figure.

hammer [34]

Answer:

I would say that the Answer is 35 I hope this isnt wrong..

6 0

3 years ago

Read 2 more answers

A model car is 5 inches long. The actual length of the car is 15 feet . What is the scale factor of the model car?

Elodia [21]

Answer:

1 : 36

Step-by-step explanation:

To obtain the scale factor, the dimensions must be in the same units.

Using the conversion

1 foot = 12 inches, then

15 feet = 15 × 12 = 180 inches, thus

scale factor = 5 : 180 ← divide both parts by 5

scale factor = 1 : 36

7 0

3 years ago

Read 2 more answers

In this line of ,the ratio of red circles to blue circles is 1:3 , How many more red circles would need to be added to make the

avanturin [10]

8 more red circles because if you have 9 red circles and 3 blue ones the ratio would be 9:3 and if you simplify that down to 3:1 that’s the answer. So you would need to add 8 more red circles

5 0

3 years ago

In response to very high demand, a new bike has been marked up by 25% and is now selling for 210.00. how much was the bike befor

harina [27]

Call the price of the bike before mark up 'x', then we have:

x + 0.25x = 210
1.25x = 210
x = 168

Therefore, the bike cost $168 before 25% price increase.

3 0

3 years ago

Read 2 more answers

What is the vertex of y<∣x−3∣+5

Tcecarenko [31]

Answer:

(3, 5)

Step-by-step explanation:

The graph is is the standard y=|x| except the values tells you that x shifts 3 (within the absolute value or parentheses x does the opposite) to the right and the y value shifts 5 up (numbers outside parentheses affects y and does what it says). You can try using a table of values then graphing to check your answer.

3 0

2 years ago