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vova2212 [387]
3 years ago
11

A rectangle has an area of 42 cm²; the length is 7 cm. Find its width.

Mathematics
1 answer:
liubo4ka [24]3 years ago
7 0
You would have 6cm as the width because length times width = area
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Simplify the expression. 6nx+7p-14p+2nx-6x
Artist 52 [7]
The simplified version would be 8nx - 7p - 6x 
5 0
3 years ago
In a certain soccer tournament you play 6 games. In every match you get 3 points if you win, 1 point for a draw and 0 points if
Ann [662]

Answer:

0.430625 = 0.431

Step-by-step explanation:

Let W represent winning, D represent a draw and L represent a loss.

12+ points can be garnered in each of the following ways.

6W 0D 0L

5W 1D 0L

5W 0D 1L

4W 2D 0L

4W 1D 1L

4W 0D 2L

3W 3D 0L

The probability of getting 12+ points is the sum of all these 7 probabilities.

Knowing that P(W) = 0.5

P(D) = 0.1

P(L) = 0.4

P(6W 0D 0L) = [6!/(6!0!0!)] 0.5⁶ 0.1⁰ 0.4⁰ = 0.015625

P(5W 1D 0L) = [6!/(5!1!0!)] 0.5⁵ 0.1¹ 0.4⁰ = 0.01875

P(5W 0D 1L) = [6!/(5!0!1!)] 0.5⁵ 0.1⁰ 0.4¹ = 0.075

P(4W 2D 0L) = [6!/(4!2!0!)] 0.5⁴ 0.1² 0.4⁰ = 0.09375

P(4W 1D 1L) = [6!/(4!1!1!)] 0.5⁴ 0.1¹ 0.4¹ = 0.075

P(4W 0D 2L) = [6!/(4!0!2!)] 0.5⁴ 0.1⁰ 0.4² = 0.15

P(3W 3D 0L) = [6!/(3!3!0!)] 0.5³ 0.1³ 0.4⁰ = 0.0025

The probability of getting 12+ points = 0.015625 + 0.01875 + 0.075 + 0.09375 + 0.075 + 0.15 + 0.0025 = 0.430625

5 0
3 years ago
O is the center of both circles containing arcs AB and CD
victus00 [196]

Answer:

Step-by-step explanation:

You need to solve the area sector of the bigger circle. Since we now the length of sector is 270, we can set up an equation.  

Length of sector DC = 2\pir

270 = 2\pi(8+OA)                     *(8+OA is the raidus of the bigger circle/sector)*

270/2\pi = 8 + OA  (division)

135/\pi -8 = OA

135/\pi -8 = OB (because OA and OB are the raidus of the same circle, so they are congruent)

I hope this helps you! Please correct me if you see a miscalculation <3<3

5 0
3 years ago
A point at (4,6) is reflected across the x-axis.What is the y-coordinate of the reflected point?
iren [92.7K]
I believe the ansr would be (-6,-4) I say this becuase if it's positive on the y axis the X axis will be negative and if it's being reflected the coordinates will be backwards. If this answer is wrong I'm truly sorry, but I hope this helps!
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3 years ago
Solve the inequality and enter your solution as an inequality comparing the
Amiraneli [1.4K]

Answer:

x - 33 < 8

x < 8 + 33

x < 41

x= {40, 39, 38, . . . }

4 0
3 years ago
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