We need to compute the diagonal of yhe square.
d²=7²+7²=49×2cm²
d=7×sqrt(2)=7×1.41=9.87cm.
The diagonal we just computed is the diameter of the circle that contains the square.
Since d=9.87 < 11, then indeed, the square fits inside the circle, without touching it.
X- the miles Hans is driving
51,96+0,12*x=45,96+0,14*x
51,96-45,96=0,14x-0,12x
6=0,02x
x=6:0,02
x=300 miles
Using proportions, considering the weight of each bar and the ratio, it is found that the ship is carrying 52 gold bars.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Each bar weighs 5 kg, and the total weight is of 600 kg, hence the number of bars is given by:
n = 600/5 = 120.
The proportion of gold bars is given by:
p = 13/(13 + 17) = 13/30
Hence, out of 120 bars, the number of gold bars is given by:
nG = 120 x 13/30 = 4 x 13 = 52.
More can be learned about proportions at brainly.com/question/24372153
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Answer:
24?
Step-by-step explanation:
For this case we have the following equation:
S = 0.159 + 0.118logD
Substituting S = 0.2 we have:
0.2 = 0.159 + 0.118logD
From here, we clear the value of D.
We have then:
0.2 - 0.159 = 0.118logD
logD = (0.2 - 0.159) / (0.118)
logD = 0.347457627
10 ^ (logD) = 10 ^ 0.347457627
D = 10 ^ (0.347457627)
D = 2.23 mm
Answer:
The average diameter, D, of the sand particles for a beach is:
D = 2.23 mm