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g100num [7]
3 years ago
9

If an ant runs randomly through an enclosed

Mathematics
1 answer:
liraira [26]3 years ago
4 0
The area of a circle is π (radius²)

The area of the outer (2-ft) circle is π (2²) = 4 π square feet.

The area of the inner (1-ft) circle is π (1²) = 1 π square feet.

The inner circle covers 1/4 of the area of the outer circle.

So if the ant wanders around totally aimlessly and randomly, and there's no way to
know where he came from, where he is now, or where he's going next, and there's
an equal chance of him being <em><u>anywhere in the big circle</u></em> at any time, then there's a
<u>25% chance</u> of him being inside the small circle at any time, because 1/4 of the
total area is in there.

That's choice c).

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What is the product of these two binomials?
podryga [215]

Answer:

2x³ - x² - 10x + 5

Step-by-step explanation:

Use FOIL method.

(x² - 5) (2x - 1) = x²*2x +(x²)*(-1) + (-5)*(2x) + (-5)*(-1)

                       = 2x³ - x² - 10x + 5

8 0
2 years ago
1) Jose saves $9/ week.He wants to buy a backpack that cost $45. If he save his money for 7 weeks, Would he be able to afford th
Alja [10]
1. Yes he would be able to but the back pack and he would actually have 18 to spare. Explanation- he saves $9 a week so if he saves for 7 weeks then he will have $63 but since he only needed 45 he will have 18 to spare
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3 0
2 years ago
Read 2 more answers
In the diagram, point P is a point of tangency. Find the radius r of circle O.​
vlabodo [156]

Answer:

r = 12

Step-by-step explanation:

From the figure attached,

QP is a tangent to the circle O at the point P.

Therefore, by the property of tangency,

OP ⊥ QP

By applying Pythagoras theorem In right triangle QPO,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

(OQ)² = (OP)² + (PQ)²

(25 + r)² = (35)² + r²

625 + r² + 50r = 1225 + r²

50r = 1225 - 625

50r = 600

r = 12

Therefore, r = 12 units is the answer.

4 0
2 years ago
Can you tell what is the answer to this math problem ?
Marrrta [24]
X^2-18 = 3x

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(x-6)(x+3) = 0

x = {-3,6}

So -3 is the answer
3 0
2 years ago
Anna walks at a constant rate of 8 miles every 2 hours Graph a line to show the relationship between the time in hours, 1 and th
stiks02 [169]

Answer:

We see that the only complete time-distance pair indicates that she walked 6.4 miles in 2 hours. If she walked at a constant speed, we can conclude that girl walked 3.2 miles in 1 hour. Using this speed, we can find the remaining values in the table. The easier entry to complete is finding out how far she walked in 5 hours: 5 hours⋅3.2 miles/hour=16 miles. To find out how long it took to walk 8 hours we can either notice that 8 is half of 16, so it took half the time to walk half the distance or we can divide 8 miles by 3.2 miles per hour to find that it took 2.5 hours

Step-by-step explanation:

8 0
3 years ago
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