Answer:
108.862 kg
Step-by-step explanation:
270lb -30lb =240 lb
240 lb is approx. 108.862 Kg
(Pounds are approx 2.205 times Kg)
<em>I hope this helps! :)</em>
Answer:
- Since the question is incomplete, see the figure attached and the explanation below.
Explanation:
Since the figure is missing, I enclose the figure of a square inscribed in a circle.
Since the <em>area of a square</em> is the side length squared, you can determine the side length:

From the side length, you can find the diagonal of the square, which is equal to the diameter of the circle, using the Pythagorean theorem:
- diagonal² = (10cm)² + (10cm)² = 2 × (10cm)²

The area of the circle is π (radius)².
- radius = diameter/2 = diagonal/2

Answer:
D
Step-by-step explanation:
loudness depends on the amplitude or height of the sound waves
Answer: a) √50
b) n = 1 + 7i
Step-by-step explanation:
first, the modulus of a complex number z = a + bi is
IzI = √(a^2 + b^2)
The fact that n is complex does not mean that n doesn't has a real part, so we must write our numbers as:
m = 2 + 6i
n = a + bi
Im + nI = 3√10
Im + n I = √(a^2 + b^2 + 2^2 + 6^2)= 3√10
= √(a^2 + b^2 + 40) = 3√10
a^2 + b^2 + 40 = 3^2*10 = 9*10 = 90
a^2 + b^2 = 90 - 40 = 50
√(a^2 + b^2 ) = InI = √50
The modulus of n must be equal to the square root of 50.
now we can find any values a and b such a^2 + b^2 = 50.
for example, a = 1 and b = 7
1^2 + 7^2 = 1 + 49 = 50
Then a possible value for n is:
n = 1 + 7i
Charter Bus:
1.
350 ( distance) / 50 ( rate) = 7 (time in hours).
Conclusion - Will take the charter bus 7 hours to drive from Norfolk to New York.
2.
12 - 6 = 6 A.M ( counting for time left in this half of the day)
7 - 6 = 1 hour left ( which will be then 1 P.M )
Conclusion- Will arrive in New York City at 1 P.M.
Personal Vehicle:
3.
1 hour : 70 miles, 2 hours : 140 miles, 3 hours : 210 miles, 4 hours : 280 miles, 5 hours : 350 miles.
Conclusion: It will take 5 hours to get to New York City from Norfolk.
4.
12 A.M - 7:30 A.M = 4:30 A.M
5 - 4.5 = 0.5 hours left ( which will be then 12:30 P.M )
Conclusion- Will arrive in New York City at 12:30 P.M.
Meet Up:
5. By looking at the rates/ratios of both vehicles and finding out the time it would take with both vehciles also I figured out that Dakota's parents will arrive first.
I didn't include a graph, I thought that you could do that with the rates of both vehicles.