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3 years ago

A snail travels 10 cm in 4 minutes. At this rate:

Mathematics

1 answer:

Elodia [21]3 years ago

4 0

Answer:

Step-by-step explanation:

Find the speed of the snail using this formula;

Speed = Distance/time

Distance= 10cm

time = 4mins

Speed = 10/4 = 2.5 cm/min

Q1.

If 2.5 cm = 1 min

24cm = (24*1) / 2.5 = 9.6 mins or 9mins and 36 seconds.

Q2. Knowing that speed = 2.5cm/min

and time=6 mins, we use the formula; Distance = speed * time;

Distance = 2.5 *6 = 15 cm

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2. The beam of a lighthouse can be seen for up to 20 miles. You are on a ship that is 10 miles east and 16 miles north of the li

Oksanka [162]

Answer:

The person on the ship can see the lighthouse

Step-by-step explanation:

The Circle Function

A circle centered in the point (h,k) with a radius r can be written as the equation

$(x-h)^2+(y-k)^2=r^2$

Any point (x,y) can be known if it's inside of the circle if

$(x-h)^2+(y-k)^2\leq r^2$

The question is about a beam of a lighthouse than can be seen for up to 20 miles. If we assume the lighthouse is emitting the beam as the shape of a circle centered in (0,0), then its radius is 20 miles. Thus any person riding a ship inside the circle can see the lighthouse. This means that

$x^2+y^2\leq 20^2$

$x^2+y^2\leq 400$

The ship's coordinates respect to the lighthouse are (10,16). We should test the point to verify if the above inequality stands

$10^2+16^2\leq 400$

$356 \leq 400$

The inequality is true, so the person on the ship can see the lighthouse

5 0

3 years ago

How to calculate how many feet of rug is needed in a specific area

adoni [48]

To calculate the area you would do L*w=a² and that is how much ft of rug you will need

8 0

3 years ago

Kevin and Randy Muise have a jar containing 82 coins, all of which are either quarters or nickels. The total value of the coins

mezya [45]

Answer: The jar contains 40 quarters and 42 nickels.

Step-by-step explanation:

The worth of a quarter is 25 cents. Converting to dollars, it becomes

25/100 = $0.25

The worth of a nickel is 5 cents. Converting to dollars, it becomes

5/100 = $0.05

Let x represent the number of quarters that they have in the jar.

Let y represent the number of nickels that they have in the jar.

Kevin and Randy Muise have a jar containing 82 coins, all of which are either quarters or nickels. This means that

x + y = 82

The total value of the coins in the jar is $12.10. This means that

0.25x + 0.05y = 12.1 - - - - - - - - - - - 1

Substituting x = 82 - y into equation 1, it becomes

0.25(82 - y) + 0.05y = 12.1

20.5 - 0.25y + 0.05y = 12.1

- 0.25y + 0.05y = 12.1 - 20.5

- 0.2y = - 8.4

y = - 8.4/ - 0.2

y = 42

x = 82 - y = 82 - 42

x = 40

7 0

3 years ago

Use a factor rainbow to determine if 729 is a perfect square. Explain your reasoning.

maksim [4K]

Answer:

729 is a perfect square

Step-by-step explanation:

because 27 * 27 = 729

5 0

3 years ago

The mayor surveyed 1000 voters to see if they approve of the job she's doing, what is the population?

Aleksandr [31]

Answer:

1001?

Step-by-step explanation:

I am really sorry if i got this wrong i did not get it. I hope someone else helps :)

7 0

2 years ago