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3 years ago

Find the next two terms in this sequence, 16, 8, 4, 2, 1

Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

3 0

Answer:

$\frac{1}{2}$ and $\frac{1}{4}$

Step-by-step explanation:

The pattern is that a term gets divided by 2 to find the next term. 1 divided by 2 is $\frac{1}{2}$ and when you divide that by 2 you get $\frac{1}{4}$

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A regular hexagon inscribed in a circle is approximately 0.827 times the area of that same circle. What percentage of the circle

tatyana61 [14]

a. The percentage of the circle occupied by the hexagon is 82.7%

b. The percentage of the circle not occupied by the hexagon is 17.3%

Step-by-step explanation:

a regular hexagon inscribed in a circle is approximately 0.827 times the

area of that same circle

1. Assume that area the circle is x

2. Find the ratio of area hexagon to area circle

3. Change The ratio to percentage

4. Subtract area hexagon from area circle to find the area not occupied

by the hexagon and do the same steps 2 and 3 with the area not

occupied and the circle

∵ The regular hexagon inscribed in a circle

∴ Area the circle > area of the hexagon

∵ Area the circle is x

∵ Area the hexagon is 0.827 times the area of the circle

∴ Area hexagon = 0.827(x)

∵ The ratio between area hexagon and area circle = $\frac{0.827x}{x}$

- Cancel x up with x down

∴ The ratio between area hexagon and area circle = 0.872

- Change the ratio to percentage by multiply it by 100%

∴ The percentage of area hexagon to area circle = 0.827 × 100%

∴ The percentage of area hexagon to area circle = 82.7%

a. The percentage of the circle occupied by the hexagon is 82.7%

∵ Area the circle is x

∵ Area the hexagon is 0.827 x

∴ The area not occupied by the hexagon = x - 0.827 x

∴ The area not occupied by the hexagon = 0.173 x

The ratio between area not occupied by the hexagon and area circle

= $\frac{0.173x}{x}$

- Cancel x up with x down

∴ The ratio between area not occupied by the hexagon and area

circle = 0.173

- Change the ratio to percentage by multiply it by 100%

∴ The percentage of area not occupied by the hexagon to area

circle = 0.173 × 100%

∴ The percentage of area not occupied by the hexagon to area

circle = 17.3%

b. The percentage of the circle not occupied by the hexagon is 17.3%

Learn more:

You can learn more about percentage in brainly.com/question/12284722

#LearnwithBrainly

6 0

3 years ago

I need help on my math!!!!!!!

Evgen [1.6K]

Answer:

I think its B

Step-by-step explanation:

7 0

3 years ago

A number that is 42% less than c.

faust18 [17]

Answer:

.58c

Step-by-step explanation:

Find 42% of c

.42c

Then subtract that from c

c - .42c

.58c

.58c is 42% less than c

7 0

3 years ago

A rectangular pool has dimensions of 40 ft. and 60 ft. The pool has a patio area around it that is the same width on all sides.I

ladessa [460]

Area of pool edge = Area of big rectangle - Area of the pool

Area of pool edge = Area of the pool = 40 × 60 = 2400 ft²

2400 = Area of big rectangle - 2400
Area of big rectangle = 2400 + 2400
Area of big rectangle = 4800

Length × width = 4800

From the diagram, we need the length to be [x + x] more than the length of the pool, where x is the distance from the pool edge to the patio edge.

We also need the width of the big rectangle to be [[x + x] more than the width of the pool.

Length = 60 + 2x
Width = 40 + 2x

Length × Width = [60+2x] × [40+2x]
4800 = 2400 + 120x + 80x + 4x²
0 = 4x² + 200x - 2400
0 = 4[x² + 50x - 600]
0 = x² + 50x - 600
0 = [x - 60] [x + 10]

x - 60 = 0 OR x + 10 = 0
x = 60 OR x = -10

We can only use the positive value of x since the context is length

Hence, x = 60

7 0

3 years ago

Read 2 more answers

Find the surface area of the ball shown to the right <br><br> d=20

netineya [11]

Answer:

<h3>Surface Area = 1,256 cm</h3>

<u>Solution:</u>

formula: Surface Area of a Sphere: 4π · r²

Surface area = 4π · r²

SA = 4(3.14) (10)²

SA = (12.56)(100)

SA = 1,256

7 0

3 years ago

Find the next two terms in this sequence, 16, 8, 4, 2, 1 ​

Find the next two terms in this sequence, 16, 8, 4, 2, 1