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Natalija [7]
3 years ago
11

Draw the region that satisfies all three of the inequalities; x < 3, y > 2, y < 2x+3​

Mathematics
1 answer:
FrozenT [24]3 years ago
3 0

Check the picture below.

the line you drew for y = 2x +3 is correct, now recall that the line for x = 3 is just a vertical line, in red, and that y = 2 is just a horizontal line, in green.

now all lines are solid because all are using ⩽ or ⩾, meaning the borderline is included, and you can do a "true" "false" region check if you wish, but less than 3 is to the left of the red one, greater than 2 is above the green one and less than 2x + 3 is just to its left.

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A spinner has 5 equal sections labeled 1 through 5. The bar graph shows the results of spinning the spinner 100 times. Which sta
lina2011 [118]

Answer:The experimental probability and theoretical probability are equal.

Step-by-step explanation:

They will still have the same outcomes if is an experimental or theoretical probability.

3 0
3 years ago
A car wheel has a radius of 16 inches. Through what angle ( to the nearest tenth of a degree ) does the wheel turn when the car
olya-2409 [2.1K]

First of all, let's convert all the measures to the same unit: 4 feet are 48 inches.

Now, as the wheel turns, there is a proportion between the angle and the distance travelled: for example, when the car moves forward a whole circumference, the angle will be 360°. Conversely, if the wheel turns 180°, then the car will move forward a distance which is half the circumference of the wheel, and so on.

Since the radius is 16 inches, the circumference will be

C=2\pi r = 32\pi

So, we have the following proportion:

360\div 32\pi = x \div 48

that you can read as: "if an angle of 360 corresponds to a distance travelled of 32\pi, then the unknown angle x corresponds to a distance travelled of 48 inches.

Solving for x, we have

x = \dfrac{360\cdot 48}{32\pi} = \dfrac{17280}{32\pi} = 171.887338539\ldots \approx 171.9

5 0
3 years ago
Consider the expression below.
borishaifa [10]

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The diagonals of a rhombus are 24 cm, 32 cm. Its perimeter is
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Answer:

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Step-by-step explanation:

7 0
3 years ago
Need help with 15, 16, 17 and 18. Please provide an explanation. Also list in least to greatest. Thank you in advance!
EleoNora [17]
15. 99%, 0.95, 5/9, 9.5%
Make all decimals: .99, .95, .55, .095
List: Zero is less than 9 or 5 so it's first than 5 and than 9, you have two 9's so 5 is less than 9: .095, .55, .95, .99

16. 3/8, 50%, 0.35, 38%
Same steps: .375, .50, .35, .38
3 is less than 5 and 5 is less than 8 or 7 so: .35, .375, .38, .5

And do the same thing for the other two problems :)
8 0
3 years ago
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