Driving on the highway, you can safely drive 65 miles per hour. Which of the following functions could be used to find how far you can drive in 'h' hours?

Answer:

2.99 cm²

Step-by-step explanation:

(The "..." at the end of the decimal means that number is repeating)

The perimeter of a rectangle is the length around the shape. The equation for a rectangle's perimeter is L + W × 2, with L and W representing length and width, respectively (You multiply the length and width by two because the shape is four-sided, so it has two length sides and two width sides). To find the area of the rectangle, you need to know the individual length and width, so you'll solve for that first.

Since you're only given the perimeter and you know the length is double the width, you'll need to work backwards with this equation. To do this, first divide the perimeter (7 , also written as 7.33...) by 2; this equals 3 , also written as 3.66...

Next, you can find the length and width by determining what two numbers multiply to equal 3.66..., with one number being two times larger than the other number. The way I tend to think of this is that if one number is double the other, then the smaller number is one third of the sum of the two numbers (since the smaller number represents one part of the sum, and the other represents two parts of the sum, which is double the smaller number).

Since the length and width combine to be the divided perimeter, 3.66..., that means two thirds of 3.66... is the longer side (the length), and then the one third of 3.66... is the shorter side (the width). This means the length is 2.44... and the width is 1.22...

Finally, you can solve for the perimeter by dividing the perimeter by two and then subtracting the length squared. The written equation looks like this:

A = P - L²

(A = area, P = perimeter, L = lenth)

Now just insert the numbers into the equation and solve!

The area of the rectangle is 2.99cm²

180 min

Explanation:

3×10 min=30 min

In 6 hours, Mr. White takes a total of  30 min  in breaks.

36 h=6 h×6  

In  36 hours, there are  6  sets of  6 h.

Hence we can multiply the number of minutes in breaks taken in  

6 hours by  6  to obtain the number of minutes in breaks taken in  36 hours.  

30 min×6=180 min

Answer:

B. The Kremlin is a fortress and symbol of power,  C. Orthodox Christianity became the official religion.

Step-by-step explanation:

Ivan the Terrible consolidated the Grand Duchy of Moscow, which gained total independence from Mongols. The Kremlin is a military and seat of the Tsar and the Russian Ortodox Christianity, which became the official religion of Russia until 1917.

The Russian peasants had less freedom than most European peasants, since rural economy was predominant and feudal institutions remained until Modern Age.

Ivan III accepted the Byzantine influence during his reign.