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Elena L [17]
2 years ago
12

HELP ME PLZZZZZZZ WHICH OF THE FOLLOWING STATEMENT S ABOUT RATIONAL NUMBERS IS NOT CORRECT

Mathematics
1 answer:
Nastasia [14]2 years ago
7 0
D because rational numbers CAN be negative
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A book has 500 pages numbered 1,2,3 and so on. How many times does the digit 1 appear in the page numbers?
elena-14-01-66 [18.8K]

Answer:

200

Step-by-step explanation:

This book has 500 pages in total.

We should split up the place values.

1 - 9

One only appears once.

1

10 - 19

One appears 11 times.

1 + 11

20 - 99

One only appears 8 times.

1 + 11 + 8

Add:

1 + 11 + 8

=> 20

Since the same is for  200-299, and so on. Let us add twenty four times.

20 * 4

=> 80

Looking back to 100-199, there are 120 ones.

Add:

120 + 80

=> 200

4 0
3 years ago
a cd store sold 3,467 CDs in 7 days.About the same number of CDs were sold each day. About ow many CDs did the store sell each d
Arisa [49]
3467 / 7
around 495 CDs per day
8 0
2 years ago
PLZ HELP WILL MAKE BRAINLEIST
Jlenok [28]
(1,2)
The solution is where the lines intersect so you can see they intersect at (1,2)
3 0
2 years ago
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Find the length of a rectangle with a perimeter of 76 inches and width of 16 inches.
levacccp [35]

Answer:

22 inches

Step-by-step explanation:

Width (16) x 2 = 32

72 (perimeter) - 32 (width x 2) = 44 inches

44 divided by 2 is 22, which is the length.

3 0
2 years ago
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Hello people ~
Luden [163]

Cone details:

  • height: h cm
  • radius: r cm

Sphere details:

  • radius: 10 cm

================

From the endpoints (EO, UO) of the circle to the center of the circle (O), the radius is will be always the same.

<u>Using Pythagoras Theorem</u>

(a)

TO² + TU² = OU²

(h-10)² + r² = 10²                                   [insert values]

r² = 10² - (h-10)²                                     [change sides]

r² = 100 - (h² -20h + 100)                       [expand]

r² = 100 - h² + 20h -100                        [simplify]

r² = 20h - h²                                          [shown]

r = √20h - h²                                       ["r" in terms of "h"]

(b)

volume of cone = 1/3 * π * r² * h

===========================

\longrightarrow \sf V = \dfrac{1}{3}  * \pi  * (\sqrt{20h - h^2})^2  \  ( h)

\longrightarrow \sf V = \dfrac{1}{3}  * \pi  * (20h - h^2)  (h)

\longrightarrow \sf V = \dfrac{1}{3}  * \pi  * (20 - h) (h) ( h)

\longrightarrow \sf V = \dfrac{1}{3} \pi h^2(20-h)

To find maximum/minimum, we have to find first derivative.

(c)

<u>First derivative</u>

\Longrightarrow \sf V' =\dfrac{d}{dx} ( \dfrac{1}{3} \pi h^2(20-h) )

<u>apply chain rule</u>

\sf \Longrightarrow V'=\dfrac{\pi \left(40h-3h^2\right)}{3}

<u>Equate the first derivative to zero, that is V'(x) = 0</u>

\Longrightarrow \sf \dfrac{\pi \left(40h-3h^2\right)}{3}=0

\Longrightarrow \sf 40h-3h^2=0

\Longrightarrow \sf h(40-3h)=0

\Longrightarrow \sf h=0, \ 40-3h=0

\Longrightarrow \sf  h=0,\:h=\dfrac{40}{3}<u />

<u>maximum volume:</u>                <u>when h = 40/3</u>

\sf \Longrightarrow max=  \dfrac{1}{3} \pi (\dfrac{40}{3} )^2(20-\dfrac{40}{3} )

\sf \Longrightarrow maximum= 1241.123 \ cm^3

<u>minimum volume:</u>                 <u>when h = 0</u>

\sf \Longrightarrow min=  \dfrac{1}{3} \pi (0)^2(20-0)

\sf \Longrightarrow minimum=0 \ cm^3

6 0
1 year ago
Read 2 more answers
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