Answer:
Step-by-step explanation:
difference of x-coordinates = 4-(-3) = 7
difference of y-coordinates = 0-(-2) = 2
length of MN = √(7²+2²) = √53 ≅ 7.28 units
tanθ = 2/7
θ = arctan(2/7) ≅ 15.9°
heading = 74.1° from north
Answer:
Step-by-step explanation:
The drawing of the garage is a smaller representation of the actual garage. A garage is drawn using a scale of 2 2/3 inch = 6feet. Let us first convert 2 2/3 inch to improper fraction. It becomes 8/3 inch.
Let us determine the unit measurement.
If 6feet = 8/3 inch,
1 foot will be 8/3 ÷ 6 = 8/3×1/6
= 8/18 inches. Therefore
if the actual height is 68 ft , then, the height of the garage on the drawing will be
68 × 8/18 = 272/9 = 30 2/9 inches
$25.99x
Step-by-step explanation:
As, for 1 song = $0.99 + $25
So, 1 song = $25.99
So, x song = $25.99 multiplied by x
Which is = $25.99x
So answer = $25.99x
Calculate the volume, that is easy:
<span>4 x 5 x 2.5 = 50m3 </span>
<span>now, as you did not provided if you use nitrogen in </span>
<span>ntp (normal temperature and pressure - 20c, 1atm) weight is 1.165kg/m3 </span>
<span>or: </span>
<span>stp (standard temperature and pressure - 0c, 1atm) weight is 1.2506 </span>
<span>these are in case of pure nitrogen, as in presented case nitrogen is only 79% we need to change weights to represent that: </span>
<span>ntp - 1.165kg/m3 / 100% x 79% = 0.92035kg/m3 </span>
<span>stp - 1.2506kg/m3 / 100% x 79% = 0.987974kg/m3 </span>
<span>therefore in case of: </span>
<span>ntp, total weight of n2 will be 50m3 x 0.92035kg/m3 = 46.0175kg </span>
<span>stp, total weight of n2 will be 50m3 x 0.987974kg/m3 = 49.3987kg</span>
The answer is 2/3. Since you need our denominator to be 3 just find a number that divides 12 three times. Since 12/4 is 3 you have your denominator and because you used 4 on the denominator you must do it on the numerator so 8/4 is 2.
I hope I helped!