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3 years ago

What is the distance between (7, 1) and (4, -5)?

Mathematics

2 answers:

Paha777 [63]3 years ago

7 0

9514 1404 393

Answer:

3√5 ≈ 6.708

Step-by-step explanation:

The distance between points is given by the distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(4-7)^2+(-5-1)^2}=\sqrt{(-3)^2+(-6)^2}\\\\d=\sqrt{9+36}=\sqrt{9\cdot5}\\\\\boxed{d=3\sqrt{5}\approx 6.708}$

marusya05 [52]3 years ago

6 0

The distance between those to points is d=6.708204 or d=6

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Convert 5 2/10 to decimal notation.

IgorLugansk [536]

5 and 2/10 converted into decimal notation would be, 5.2

5 0

3 years ago

Read 2 more answers

BELL RINGER #2

NemiM [27]

Answer:

A. 2 4/5

Step-by-step explanation:

To find how many hours she worked for $210, you must get the amount of money she gets in 1 hour.

Because she charges $43 dollars every hour, and fines a fee of $30 flat, we must add both of the amount to get how many she earns in 1 hour.

So:

$45 + $30= $75

She earn $75 in 1 hour.

Next, divide $210 dollars that she earned for working for hour(s) to the amount of money she earned in 1 hour to find how many hours she worked.

So:

$210 ÷ $75= 2.8 hours

The answer is 2.8 hours

Because the given answers is in fraction, we must change the decimal into a fraction.

To change a decimal into a fraction, you must place the decimal over its place value.

Because 8 in the decimal 2.8 is in the tenths place, you must place it over 10

So:

2.8 into a decimal is 2 8/10

Simplify (only simplify if possible):

Divide 8 and 10 to their GCF which is 2.

So:

8 ÷ 2= 4

10 ÷ 2= 5

So the fraction and the answer is now:

2 4/5

I hope this helps! I'm sorry if it's wrong and too complicated.

4 0

3 years ago

A car wheel has a radius of 16 inches. Through what angle ( to the nearest tenth of a degree ) does the wheel turn when the car

olya-2409 [2.1K]

First of all, let's convert all the measures to the same unit: 4 feet are 48 inches.

Now, as the wheel turns, there is a proportion between the angle and the distance travelled: for example, when the car moves forward a whole circumference, the angle will be 360°. Conversely, if the wheel turns 180°, then the car will move forward a distance which is half the circumference of the wheel, and so on.

Since the radius is 16 inches, the circumference will be

$C=2\pi r = 32\pi$

So, we have the following proportion:

$360\div 32\pi = x \div 48$

that you can read as: "if an angle of 360 corresponds to a distance travelled of $32\pi$ , then the unknown angle x corresponds to a distance travelled of 48 inches.