Henry can ride his bike 23 miles in 2 hours. The store is six miles away. About hoe long should it take Henry to ride his bike to the store?

Answers

Answer 1

Answer: It would take Henry about 0.52 hours.

Answer 2

Answer: Or 13/25 hours if you needed it in fraction form

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1) If a circle sector has a radius of 5 cm and a central angle of 3 radians, then the arc length of the sector is 15 cm. True or False?2) If a circle sector has a radius of 6 cm and a central angle of 240 degrees, then the arc length of the sector is 8(pi) cm. True or False?

Answers

The answer is true. use arc length=(central angle/2π)2πr.

What is the length of the arc?

The distance along a portion of the circumference of any circle or curve is best characterized as arc length (arc).

We know that the circumference of a circle is equal to 2πr. That means when we have 2π radians out of 2π radians (one hundred per cent of the circle).

If we are only dealing with part of the circle (sector), you find what per cent of the complete circle the sector is by dividing the central angle by 2π. In this case, we have 3 radians out of 2π radians,

Therefore we only have 47.75% of the circle. Because we only have a certain percentage of the circle, you multiply 2πr by the percent to get the arc length given by the sector.

In this case 0.4775x2xπx5 which equals 15.001 which is rounded down to 15 cm. Therefore the answer is true.

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The answer is true. use arc length=(centeral angle/2π)2πr
we know that the circumference of a circle is equal to 2πr. That means when we have 2π radians out of 2π radians (one hundred percent of the circle). If we are only dealing with part of the circle (sector), you find what percent of the complete circle the sector is by dividing the central angle by 2π. In this case we have 3 radians out of 2π radians, therefore we only have 47.75% of the circle. Because we only have a certain percentage of the circle, you multiply 2πr by the percent to get the arc length given by the sector. In this case 0.4775x2xπx5 which equals 15.001 which is rounded down to 15 cm. Therefore the answer is true.

What is the value of b in this diagram?

Answers

12/ sin(113.17) = b/ sin (37.81)
so b= 8

Answer:

8 for plato users its D

If k = 23 and m
-14, what is ✓k + m?
Submit

Answers

Answer:

Step-by-step explanation:

Evaluate:

Sqrt of k = 32 + m = -14

Sqrt of 32-14 = 9

Sqrt of 9 = 3

Therefore, our answer is 3!

Btw sqrt means: square root

Hope this helps! Have a good day!

A bag contains 8 red marbles, 4 white marbles, and 5 blue marbles. You draw one marble at random. Find P(red and blue) A. 40/17. B. 0. C. 12/17. D. 13/16.

Answers

Sum of all marbles in the bag is 8+4+5 = 17.
Sum of red and blue marbles is 8+5 = 13.

Now, because you are picking only 1 marble it is impossible for it to be both red and blue. You would need to pick at least 2 marbles to have a chance that one is red and one is blue.

The answer is B. 0

If you are drawing only one marble then the probability of getting red and blue simultaneously is zero.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The Sum of all marbles in the bag is

8 + 4 + 5 = 17.

The Sum of red and blue marbles is

8 + 5 = 13.

Now, because you are picking only 1 marble it is impossible for it to be both red and blue. You would need to pick at least 2 marbles to have a chance that one is red and one is blue.

Therefore If you are drawing only one marble then the probability of getting red and blue simultaneously is zero.

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The distance an object falls when dropped from a tower varies directly as the square of the time it falls. If the object falls 144 feet in 3 seconds, how far will it fall in 17 seconds?

Answers

Direct variation:
$y=kx^2$
y - the distance, x - the time

The object falls 144 feet in 3 seconds.
$144=k * 3^2 \n144=9k \nk=(144)/(9) \nk=16 \n \Downarrow \n y=16x^2$

The object falls y feet in 17 seconds.
$y=16 * 17^2 \ny=16 * 289 \ny=4624$

In 17 seconds the object will fall 4624 feet.

Question

This is a relatively close question, and I have tried multiple times. Can you help?

The distance an object falls when dropped from a tower varies directly as the square of the time it falls. If the object falls 144 feet in 3 seconds, how far will it fall in 18 seconds?

Answer: The one below is correct.

What is the distance between the points (3,7) and (15,16)?

Answers

distance between the point formula is
d= $√((y2-y1)^2+(x2-x1)^2)$
where (x1,y1) and (x2,y2) are coordinates points

here points are given (3,7) (15,16)

put those points into distance formula
d= now u can do this

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