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3 years ago

Where would √39 be on a number line?

1 answer:

7 0

In the event that you don't have a calculator, you can estimate this. think of the nearest perfect squares to 39 ... 36. the square root of 36 is 6. this perfect square is LESS than 39, so find the next one that's LARGER: 49. the square root of 49 is 7. because 39 is between 36 and 49, you know that the ROOT of 39 is between the roots of those perfect squares: √36 = 6, and √49 = 7. therefore, you know that √39 lies between 6 and 7 on a number line.

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A sailboat leaves port and sails 12 kilometers west and then 9 kilometers north. The sailboat is now kilometers from port

Luden [163]

Answer: The sailboat is at a distance of 15 km from the port.

Step-by-step explanation: Given that a sail boat leaves port and sails 12 kilometers west and then 9 kilometers north.

We are to find the distance between the sailboat from the port in kilometers.

Since the directions west and north are at right-angles, we can visualize the movement of the sailboat in the form of a right-angled triangle as shown in the attached figure.

The sailboat moves leaves the port at P and reach O after sailing 12 km west. From point O, again it moves towards north 9 km and reach the point S.

PS = ?

Using the Pythagoras theorem, we have from right-angled triangle SOP,

$PS^2=OS^2+OP^2=9^2+12^2=81+144=225\\\\\Rightarrow PS=15~\textup{km}.$

Thus, the sailboat is at a distance of 15 km from the port.

5 0

4 years ago

If you roll two four-sided dice (numbered 1, 2, 3, and 4), what is the probability that the sum of the dice is 3?

Elan Coil [88]

Answer:

The probability that the sum of the dice is 3, is 3/16.

Step-by-step explanation:

It is given that two four-sided dice are rolled.

Total number of sides of each dice = 4

Possible values for each dice = 1,2,3,4

If two four-sided dice are rolled, then the total possible outcomes are

$A=\{(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(2,4),\\(3,1),(3,2),(3,3),(3,4),(4,1),(4,2),(4,3),(4,4)\}$

Total number of possible outcomes = 16

The sum of the dice is 3.

$\text{Favorable outcomes}=\{(1,1),(1,2),(2,1)\}$

Total number of favorable outcomes = 3

The probability that the sum of the dice is 3.

$Probabilty=\frac{3}{16}$

Therefore the probability that the sum of the dice is 3, is 3/16.

8 0

4 years ago

Mr. Erwin has 70 books in his classroom library, and 35 of them are non-fiction. What percent of Mr. Erwin's books are non-ficti

AlladinOne [14]

Answer:

50%

Step-by-step explanation:

35-70=-35/70=0.5x100=50

6 0

3 years ago

Read 2 more answers

Jada has a stand in the marketplace where she sells ground cumin. Her weekly expenses are $300, and she sells her cumin at a fix

Irina18 [472]

Profit = revenue (income) - expenses

600 = 120x - 300
600 + 300 = 120x
900 = 120x
900/120 = x
7.50 = x ....this is how much 1 kg costs

so to cover her weekly expenses of 300, she would have to sell :
300/7.5 = 40 kg of cumin <===

8 0

3 years ago

Does anybody know this?

dedylja [7]

Answer:

here you go , all four completed, took me some time , hipe i was able to help you out tho

4 0

2 years ago