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larisa [96]
3 years ago
7

Solve for the inequality -6× - 17> 8× + 25

Mathematics
1 answer:
adelina 88 [10]3 years ago
8 0

Step-by-step explanation:

- 6x - 17 > 8x + 25 \\  - 6x - 8x > 17 + 25 \\  - 14x > 42 \\  \frac{ - 14x}{14}  >  \frac{42}{14}  \\  - x > 3 \\ x  <  - 3

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A circle passes through the vertices of a square of side 20cm.Find the radius of the circle.
algol13

Answer:

14,1 cm

Step-by-step explanation:

If a circle passes through the vertices of a square then the diagonal of a square is a circle diameter.

We use Pytagoras Theorem to find out the length (L)  of the diagonal given that:

L²  =  (20)²  +  (20)²

L²  = 2* (20)²

L  = √2 * 20

L  = 1,4142* 20

L = 28,28 cm

L diagonal in the square is a diameter of the circle then radius of a circle is:

r = L/2   ⇒   r  = 28,28 /2   ⇒   r = 14,14 cm

3 0
2 years ago
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Each of the letters of the word COLORADO are written on a piece of paper and then put into a bag. A piece of paper is drawn at r
Ilia_Sergeevich [38]

0.375 is the answer because there are 3 0's in COLORADO and 8 letter's in total. The fraction part would be 3/8 and in decimals it is 0.375.

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3 years ago
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Hello! i need help finding the value of x could somebody help?
aleksandrvk [35]

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2 years ago
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Can someone help me with this ​
xeze [42]

Answer

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3 0
3 years ago
You have 10 gallons of lemonade to sell. (1 gal $\approx$ 3785 cm3) a. Each customer uses 1 paper cup. The cups are sold in pack
SpyIntel [72]

Answer:

The answer to this question can be defined as follows:

Step-by-step explanation:

Calculating the volume of cone cup:

= \frac{1}{3}\pi r^2 h \\\\  = \frac{1}{3}\times 3.14 \times 4^2 \times 11 \\\\ = \frac{1}{3}\times 3.14 \times 16 \times 11 \\\\ = \frac{1}{3}\times 3.14 \times 176 \\\\ =  3.14 \times 58.66 \cong  184.31 cm^3

\to 10 \ gal \times  3,785\  \frac{cm^3}{gal} = 37,850\  cm^3\\\\\to 37,850 cm^3 \times  \frac{(1 \ cone)}{(184.31 \ cm^3)} \times 205.4 \ cones

When buying 5 packages (250 cones):

\to 8 \ gal \times 3,785 \ \frac{cm^3}{gal} = 30,280\ cm^3 \\\\\to 30,280 \ cm^3 \times \frac{(1\ cone)}{(184.31 \ cm^3)} \cong \ 165 \ cones

 Calculating the left over cones values:

\to 250 - 165 = 85

8 0
2 years ago
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