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2 years ago

What is the area of a regular nonagon with 10 cm side length and an apothem of 6 cm?

Mathematics

1 answer:

pickupchik [31]2 years ago

8 0

The area of the regular nonagon is 270 sq cm.

Step-by-step explanation:

Given,

Each side of a regular nonagon (b) = 10 cm

The length of apothem (h) = 6 cm.

To find the area of the nonagon.

Formula

The area of a nonagon with b as each side and h as apothem is = 9( $\frac{1}{2}$ bh)

Now,

Putting the value of h and b we get,

Area = 9( $\frac{1}{2}$ ×10×6) sq cm = 270 sq cm

Hence, the area is 270 sq cm.

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Mike travels 13 miles per 2 hours on his bike.

LiRa [457]

Answer:

It took Markus half an hour to drive home from work. He averaged 34 miles per hour. How far does Markus live from his work?

Solution

We are given that it takes 1/2 an hour for the trip. This is a time:

t = 1/2

We are given that he averages 34 miles per hour. This is a rate:

r = 34

We are asked how few he has traveled. This is a distance. We use the d=rt equation:

d = rt

= (34)(1/2)

= 17

Markus lives 17 miles from work.

Now try one by yourself. If you want to see the answer, put your mouse on the yellow rectangle and the answer will appear.

Exercise 1

The current along the beach is moving towards the south at 1.5 miles per hour. If a piece of debris is placed into the water, how far will the current take it in 6 hours?

Step-by-step explanation:

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2 years ago

Lilla read 1/5 of her book last week. This week she read 3 times as much as she read last week. B. There are 75 pages in Lilla's

likoan [24]

Answer:

15pages

Step-by-step explanation:

there are 75 pages on her book

lilla read 1/5 of her book last week=1/5*75=15pages

this week she read 3times as much as she read last week=3*15=45pages

pages left to readcan be given as;

75-(15+45)

75-60= 15pages

3 0

3 years ago

When 9 Superscript two-thirds is written in simplest radical form, which value remains under the radical?

salantis [7]

Answer:

Step-by-step explanation:

$9^{\frac{2}{3}}=(3^2)^{\frac{2}{3}}=3^{\frac{4}{3}}=3\cdot 3^{\frac{1}{3}}\\\\=3\sqrt[3]{3}$

9 0

2 years ago

Read 2 more answers

When a = 6 and b = 22, c = 33. If c varies directly with b and inversely with a, which equation models the situation?

deff fn [24]

Answer:

c= 9b/a

Step-by-step explanation:

The statement "y varies directly as x," means that when x increases, y increases by the same factor. The statement "y varies inversely as x means that when x increases, ydecreases by the same factor.

Then, we can say that:

c ∝ b, thus c= kb and c = k/a.

Using both equations we have that:

c= kb/a

Given that a=6, b=22 and c=33 we have that:

33 = 22k/6

Solving for k:

k=9.

Then the equation that models the situation is:

c= 9b/a

4 0

2 years ago

Read 2 more answers

What is the equation in slope-intercept form of a line (y = mx + b) that has aslope of 3 y-intercept of 6?

arsen [322]

The equation of the line is y = 3x + 6

<h3>What are linear equations?</h3>

Linear equations are equations that have constant average rates of change.

Note that the constant average rates of change can also be regarded as the slope or the gradient

<h3>How to determine the equation of the line?</h3>

The given parameters are

Slope, m = 3

y-intercept, c = 6

A linear equation is represented as

y = slope * x + y-intercept

i.e.

y = mx + c

So, we have

y = 3x + 6

Hence. the linear equation is y = 3x + 6