Answer:
Density of material would be 4.09 
units is
Step-by-step explanation:
Given: The mass of a material is 45 grams and the volume of the material is 11 cubic centimeter
Density is defined as mass per unit volume.
It is given by:
where p is the density , m is the mass and V is the volume of the material respectively.
Here, Density is expressed in grams per centimeter cubed (g/cubic cm)
Here, m = 45 g , V = 11 cubic cm
We get;
= 4.09
therefore, density of a material would be, 
and its units is
This seems like a right triangle problem.
So assuming 14 feet is the hypotenuse and 4 feet is a leg of the right triangle, we can use the pythagorean theorem (
) to solve for the height of the house, in which we shall name it x.
So, the equation is 
.
Solve for x:
16+x^{2}= 196
x^{2}= 196-16
x^{2}= 180
x = 6√5 feet
Hope this helps!
Answer:
yea
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Answer:
independent: day number; dependent: hours of daylight
d(t) = 12.133 +2.883sin(2π(t-80)/365.25)
1.79 fewer hours on Feb 10
Step-by-step explanation:
a) The independent variable is the day number of the year (t), and the dependent variable is daylight hours (d).
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b) The average value of the sinusoidal function for daylight hours is given as 12 hours, 8 minutes, about 12.133 hours. The amplitude of the function is given as 2 hours 53 minutes, about 2.883 hours. Without too much error, we can assume the year length is 365.25 days, so that is the period of the function,
March 21 is day 80 of the year, so that will be the horizontal offset of the function. Putting these values into the form ...
d(t) = (average value) +(amplitude)sin(2π/(period)·(t -offset days))
d(t) = 12.133 +2.883sin(2π(t-80)/365.25)
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c) d(41) = 10.34, so February 10 will have ...
12.13 -10.34 = 1.79
hours less daylight.
