0.5 gallons every day
1 weeks = 7 days
0.5 gallons x 7 days = 3.5 gallons every week
1 gallon = 16 cups
3 1/2 gallons = 3 1/2 x 16 = 56 cups
Katrina drinks 56 cups of water every week
Her average in first three test = 89
This means, her total scores in first three test were = 3 x 89 = 267
Her average in four tests = 91
This means, her total scores in four tests are = 364
267 give the sum of first three test scores. and 364 give the sum of scores with fourth test adding in three tests.
So, subtracting 267 from 364 will give us the scores of Fourth test.
Scores of Fourth test = 364 - 267 = 97
Thus, Samantha's Claim is correct
Three important properties of the diagonals of a rhombus that we need for this problem are:
1. the diagonals of a rhombus bisect each other
2. the diagonals form two perpendicular lines
3. the diagonals bisect the angles of the rhombus
First, we can let O be the point where the two diagonals intersect (as shown in the attached image). Using the properties listed above, we can conclude that ∠AOB is equal to 90° and ∠BAO = 60/2 = 30°.
Since a triangle's interior angles have a sum of 180°, then we have ∠ABO = 180 - 90 - 30 = 60°. This shows that the ΔAOB is a 30-60-90 triangle.
For a 30-60-90 triangle, the ratio of the sides facing the corresponding anges is 1:√3:2. So, since we know that AB = 10, we can compute for the rest of the sides.
Similarly, we have
Now, to find the lengths of the diagonals,
So, the lengths of the diagonals are 10 and 10√3.
Answer: 10 and 10√3 units
Answer:
1760 Hz
Explanation:
The equation for the displacement has the following general formula:
d = A sin(wt)
where:
A is the amplitude
w is the angular frequency
the given equation is:
d = 0.6 sin(3520πt)
We can note that:
w = 3520 π rad/sec
Now,
w = 2πf where f is the frequency
Therefore:
3520π = 2π*frequency
This means that:
frequency = 1760 Hz
Hope this helps :)
1. thats because in the alphabet where a=1 and b=2 and c=3, A=1