Which expression has the greatest value? root(4, 64 ^ 2); root(3, 8 ^ 4); 16 ^ (1/3); sqrt(16 ^ 2)

9+9000000+90+900+9000+90000+900000+1

anyanavicka [17]

Answer:

10,000,000

Step-by-step explanation:

7 0

3 years ago

It is predicted that garden gnome value will go up by 2% each year, forming a geometric progression. Jean-Claude has a garden gn

yawa3891 [41]

Answer:

Step-by-step explanation:

a ) The worth of Jean-Claude's gnome after 1 year

= 80000 x 1.02

= £81600

b ) common ratio of geometric progression

= 81600 / 80000

= 1.02

c ) worth after 10 years

= 80000 x 1.02¹⁰

= 80000 x 1.21899

= £97519.55

d )

120000 = 80000 x $1.02^k$

1.5 = $1.02^k$

ln1.5 = k ln 1.02

k = ln 1.5 / ln 1.02

= .4054 / .0198

= 20.47 years .

8 0

4 years ago

PLEASE HELP!!! write a 10 line free verse poem about cosmetology

dalvyx [7]

Answer:

First, settle on a theme or event you'd like to write about. Try to set the scene in your head and go from there. Then write down some key words that relate to your story. Since you don't need to worry about matching up words and rhyming them, you should be able to incorporate most of these words in your poem

Step-by-step explanation:

Poem is,

When I sitting heard the astronomer where he lectured with much applause in the lecture-room,

How soon unaccountable I

became tired and sick,

Till rising and gliding out I

wander’d off by myself,

In the mystical moist night-air,

and from time to time,

Look’d up in perfect silence at the

stars.

3 0

3 years ago

Read 2 more answers

Round these number to the nearest whole number: 3.7 8.5 36.4 6.54

lukranit [14]

Answer:

4

9

36

7

Step-by-step explanation:

Just know that if the number after another is greater than 5 you add to it but if lesser than...you leave it like that

7 0

4 years ago

Regular hexagon ABCDEF is inscribed in circle X and has an apothem that is 6√3 inches long. Use the length of the apothem to cal

Phantasy [73]

Answer:

Part A

$The \ circumradius, \ R = \dfrac{a}{cos \left(\dfrac{\pi}{n} \right)}$

Plugging in the given values we get;

$The \ circumradius, \ R = \dfrac{6 \cdot \sqrt{3} }{cos \left(\dfrac{\pi}{6} \right)} = \dfrac{6 \cdot \sqrt{3} }{\left(\dfrac{\sqrt{3} }{2} \right)} = 6 \cdot \sqrt{3} \times \dfrac{2}{\sqrt{3} } = 12$

R = 12 inches

The radius of the circumscribing circle is 12 inches

Part B

The length of each side of the hexagon, 's', is;

$s = a \times 2 \times tan \left(\dfrac{\pi}{n} \right)$

Therefore;

$s = 6 \cdot \sqrt{3} \times 2 \times tan \left(\dfrac{\pi}{6} \right) = 6 \cdot \sqrt{3} \times 2 \times \left(\dfrac{1}{\sqrt{3} } \right) = 12$

s = 12 inches

The perimeter, P = n × s = 6 × 12 = 72 inches

The perimeter of the hexagon is 72 inches

Step-by-step explanation:

The given parameters of the regular hexagon are;

The length of the apothem of the regular hexagon, a = 6·√3 inches

The relationship between the apothem, 'a', and the circumradius, 'R', is given as follows;

$a = R \cdot cos \left(\dfrac{\pi}{n} \right)$

Where;

n = The number of sides of the regular polygon = 6 for a hexagon

'a = 6·√3 inches', and 'R' are the apothem and the circumradius respectively;

Part A

Therefore, we have;

$The \ circumradius, \ R = \dfrac{a}{cos \left(\dfrac{\pi}{n} \right)}$

Plugging in the values gives;

$The \ circumradius, \ R = \dfrac{6 \cdot \sqrt{3} }{cos \left(\dfrac{\pi}{6} \right)} = \dfrac{6 \cdot \sqrt{3} }{\left(\dfrac{\sqrt{3} }{2} \right)} = 6 \cdot \sqrt{3} \times \dfrac{2}{\sqrt{3} } = 12$

The circumradius, R = 12 inches

Part B

The length of each side of the hexagon, 's', is given as follows;

$s = a \times 2 \times tan \left(\dfrac{\pi}{n} \right)$

Therefore, we get;

$s = 6 \cdot \sqrt{3} \times 2 \times tan \left(\dfrac{\pi}{6} \right) = 6 \cdot \sqrt{3} \times 2 \times \left(\dfrac{1}{\sqrt{3} } \right) = 12$

The length of each side of the hexagon, s = 12 inches

The perimeter of the hexagon, P = n × s = 6 × 12 = 72 inches

The perimeter of the hexagon = 72 inches

5 0

3 years ago