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2 years ago

Parallel lines

Mathematics

1 answer:

leonid [27]2 years ago

7 0

Answer:

K & M

Step-by-step explanation:

K & M are parallel lines because they are straight and they can't touch each other.

Hope this helped!

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Find the length of the leg x. Enter the exact value, not a decimal approximation.

kherson [118]

Answer:
x = 2√13.

Step-by-step explanation:

Using the Pythagoras theorem:
14^2 = x^2 + 12^2
x^2 = 14^2 - 12^2
x^2 = (14 + 12)(14 - 12) = 52
x = √52
x = √4*√13
x = 2√13.

3 0

2 years ago

Two boats leave the same place at the same time. The first boat heads due north at 10 kilometers per hour. The second boat heads

Maksim231197 [3]

Answer:

18.87 km/hr

Step-by-step explanation:

First boat is heading North with a speed of 10 km/hr.

Second boat is heading West with a speed of 16 km/hr.

Time for which they move = 2.5 hours

To find:

The speed at which the distance is increasing between the two boats.

Solution:

Let the situation be represented by the attached diagram.

Their initial position is represented by point O from where they move towards point A and point B respectively.

$Distance = Speed \times Time$

$Distance\ OA = 10 \times 2.5 = 25\ km$

$Distance\ OB = 16 \times 2.5 = 40\ km$

We can use Pythagorean Theorem to find the distance AB.

AB is the hypotenuse of the right angled $\triangle AOB$ .

According to Pythagorean theorem:

$\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AB^{2} = OA^{2} + OB^{2}\\\Rightarrow AB^2 = 25^2 + 40^2\\\Rightarrow AB^2 = 2225^2\\\Rightarrow AB^2 \approx 47.17\ km$

The speed at which distance is increasing between the two boats is given as:

$\dfrac{47.17}{2.5} \approx 18.87\ km/hr$

4 0

2 years ago

If the original quantity is 10 and the new quantity is 6, what is percent increase

Ad libitum [116K]

Answer:

Using the percentage difference formula you can find the percentage decrease.

SO its

100(new-old/new)

So we solve

10-6=4

4/10= 2/5

2/5*100=200/5

40 percent decrease

3 0

2 years ago

What is the product?<br><br> (5.63 x 10^5) x 5,600,000

victus00 [196]

Answer: $3.1528 \times 10^{12}.$

Step-by-step explanation: Given expression $(5.63 \times 10^5) \times 5,600,000$ .

In order to find the product of given expression, we need to convert 5,600,000 into scientific notation, because other number is also in scientific notation.

5,600,000 = 5.6 × 10^6.

Therefore, $(5.63 \times 10^5) \times 5,600,000 =(5.63 \times 10^5) \times (5.6 \times 10^6)$ .