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xxTIMURxx [149]
3 years ago
5

Solve | x | < 10

Mathematics
1 answer:
Neko [114]3 years ago
8 0

Answer:

Right answer is B) x>-10 and x<10

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For the figures below, assume they are made of semicircles, quarter circles and squares. For each shape, find the area and perim
Marina86 [1]

Area of the shaded region $=36(\pi -2) square cm

Perimeter of the shaded region =6 (\pi + 2\sqrt 2) cm

Solution:

Radius of the quarter of circle = 12 cm

Area of the shaded region = Area of quarter of circle – Area of the triangle

                                             $=\frac{1}{4} \pi r^2 - \frac{1}{2} bh

                                             $=\frac{1}{4} \pi \times 12^2 - \frac{1}{2} \times  12 \times 12

                                             $=36\pi -72

                                             $=36(\pi -2) square cm.

Area of the shaded region $=36(\pi -2) square cm

Using Pythagoras theorem,

AC^2=AB^2+BC^2

AC^2=12^2+12^2

AC^2=288

Taking square root on both sides of the equation, we get

AC= 12\sqrt 2 cm

Perimeter of the quadrant of a circle = \frac{1}{4} \times 2\pi r

                                                             $=\frac{1}{4} \times 2 \times \pi \times 12

                                                             $=6 \pi cm

Perimeter of the shaded region = 6 \pi + 12\sqrt 2 cm

                                                    =6 (\pi + 2\sqrt 2) cm

Hence area of the shaded region $=36(\pi -2) square cm

Perimeter of the shaded region =6 (\pi + 2\sqrt 2) cm

6 0
3 years ago
How to find the complement of a 58 degree angle
Butoxors [25]

Answer:

32°

Step-by-step explanation:

Complementary angles sum to 90°

the complement of 58° is

90° - 58° = 32°

4 0
2 years ago
Read 2 more answers
Vicky is renting an apartment.In addition to the first month’s rent, the landlord requires him to pay half of a month's rent as
Slav-nsk [51]

Answer:

  • $2000

Step-by-step explanation:

Let the monthly rent be x.

<u>Then we have:</u>

  • x + 0.5x + 0.4x = 3800
  • 1.9x = 3800
  • x = 3800/1.9
  • x = 2000

Monthly rent is $2000

7 0
3 years ago
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The table shows the time Merrida spent driving and the number of miles she drove. She drove the same number of miles each hour.
Oksi-84 [34.3K]

Answer:

35 miles per hour

Step-by-step explanation:

175 -140 = 35

35/1 = 35

6 0
3 years ago
PLEASE HELP!! :( <br> 6th grade math ( I suck at math)
agasfer [191]

Answer:

Width              Length

5                        8.7

7.9                    11.6

9                        12.7

11.3                     15.0

13                      16.7

Step-by-step explanation:

If they gave you the width, you add 3.7 to get the length.

If they gave  you the length, you subtract 3.7 to get the width.

4 0
3 years ago
Read 2 more answers
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