Answer:
√185 or 13.60 units to the nearest hundredth.
Step-by-step explanation:
For the points (x1,y1) and (x2,y2) the length between the points is given by:
L = √ [ (x2-x1)^2 + (y2-y1)^]
So here we have:
Length of AB √ [ (7- - 4)^2 + (-2 - 6)^2]
= √ (121 + 64)
= √185.
Answer:
2.60 hours
Step-by-step explanation:
A hose fills a hot tub at a rate of ,
2.09 gallons ⇒ 1 minute
Now we have to find the time which takes to fill a 327 gallon hot tub.
For that, let the unknown time be x.
So,
2.09 gallons ⇒ 1 minute
327 gallon ⇒ x
Use cross multiplication to find the value of x.
2.09 x = 327 × 1
2.09x = 327
x = 327 ÷ 2.09
x = 156.45 min
Therefore, it takes 156.45 minutes.
But the question is asked for hours.
So,
Let us solve now.
156.45 ÷ 60 = 2.60 hours
Let me know if you have any other questions :-)
Answer:
There are a total of 360° in any given circle, so an arc swept out by 60° of that 360° would make up 60/360 = 1/6 of the circle's circumference.
The formal for the circumference of a circle comes out of the definition of one of the most famous constants in mathematics: π. π is defined as the ratio between a circle's circumference and its diameter, or:
From this definition, we can multiply both sides of the equation by d to obtain
or, circumference is π times the diameter. To find the diameter, we just need to double the radius, giving us 5 * 2 = 10cm. Usually you'll see π approximated as 3.14, which is likely what they want you to use here. Using that approximation, we find the circumference to be 3.14 * 10 = 31.4 cm.
Finally, to get the length of that arc, we just need to take 1/6 of the circumference (since the arc sweeps out 1/6 of the circle), giving us 31.4 * 1/6 ≈ 5.2 cm.
Step-by-step explanation:
Answer:
6,5
Step-by-step explanation:
-2 is 4 down from 2, so reflected should be 4 up, or 6
Lets say the number = x
Six times a number is decreased by 9, the result is 3
6 times x is decreased by 9, the result is 3
(decreased means to subtract and results means equals)
6x - 9 = 3 (add 9 to each side)
<u> +9 +9</u>
6x = 3 + 9
6x = 12 (divide each side by 6)
6x/6 = 12/6
x = 2
The number is 2
