Find the area of the region shaded in green. Use 3.14 to approximate pi.

Mathematics

1 answer:

8090 [49]3 years ago

3 0

Answer:

254 cm² (to 3 s.f.)

Step-by-step explanation:

Area of shaded region

= area of large circle -area of smaller circle

$\boxed{area \: of \: circle = \pi {r}^{2} }$

Radius of large circle= 15cm

Radius of smaller circle= 12cm

Area of shaded region

= π(15²) -π(12²)

= 225π -144π

= 81π

= 81(3.14)

= 254.34

= 254 cm² (3 s.f.)

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If it takes 1074 digits to number the pages of a book starting with page 1. how many pages are in the book? The book has a total

Charra [1.4K]

Answer:

394 pages

Step-by-step explanation:

1- digit numbers:

1 to 9, number of digits = 9

2- digit numbers:

10 to 99, number of digits = 2(99 - 9) = 180

3- digit numbers:

100 to 999, number of digits = 3(999 - 99) = 2700

This is more than we have, but we know the number of pages is 3-digit.

Let it be x, then we have:

9 + 180 + 3(x - 99) = 1074
3(x - 99) = 1074 - 189
3(x - 99) = 885
x - 99 = 885/3
x - 99 = 295
x = 295 + 99
x = 394

4 0

2 years ago

I'll give you brainliest! Just need help with 5-10! (Least common factors)

umka2103 [35]

Answer:

Step-by-step explanation:

$12,\:30\\\\\mathrm{Prime\:factorization\:of\:}12:\quad 2\times\:2\times\:3\\\mathrm{Prime\:factorization\:of\:}30:\quad 2\times\:3\times\:5\\\\=2\times\:2\times\:3\times\:5\\\\=60$

$6,\:10\\\\\mathrm{Prime\:factorization\:of\:}6:\quad 2\times\:3\\\mathrm{Prime\:factorization\:of\:}10:\quad 2\times \:5\\\\=2\times \:3\times \:5\\\\=30$

$16,\:24\\\\\mathrm{Prime\:factorization\:of\:}16:\quad 2\times \:2\times\:2\times\:2\\\mathrm{Prime\:factorization\:of\:}24:\quad 2\times\:2\times\:2\times\:3\\\\=2\times\:2\times\:2\times\:2\times\:3\\\\=48$

$14,21\\\\\mathrm{Prime\:factorization\:of\:}14:\quad 2\times\:7\\\mathrm{Prime\:factorization\:of\:}21:\quad 3\times\:7\\\\=2\times\:7\times\:3\\\\=42$

$9,15\\\\\mathrm{Prime\:factorization\:of\:}9:\quad 3\times\:3\\\mathrm{Prime\:factorization\:of\:}15:\quad 3\times\:5\\\\=3\times\:3\times\:5\\\\=45$