Yes because the results are unlikely to occur by chance, is what I think .
Draw a square with side length of 4. All four angles are 90 degrees and all four sides are 4.
Then draw a rectangle with length of 9 and with of 2. All four angles would be 90 degrees, but the proportion of the 2 sides are different when compared to the sides of the square.
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Answer:</h3>
96 necklaces
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Step-by-step explanation:</h3>
To find out how many necklaces Camilla can make, we need to see how many times the required number of beads "goes into" the available number of beads.
Silver: 8160/85 = 96
Black: 2880/30 = 96
Camilla has enough beads to make 96 necklaces.
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<em>Comment on this answer</em>
Obviously, if one of the quotients is smaller than the other, Camilla can only make as many necklaces as are supported by the constraining resource.
Even if she had 3000 black beads (way more than 2880), she could still only make 96 necklaces (for example) because she would run out of silver beads making that 96th necklace. (There would be 120 black beads left over in that scenario.)
We have to find the mass of the gold bar.
We have gold bar in the shape of a rectangular prism.
The length, width, and the height of the gold bar is 18.00 centimeters, 9.21 centimeters, and 4.45 centimeters respectively.
First of all we will find the volume of the gold bar which is given by the volume of rectangular prism:
Volume of the gold bar
Plugging the values in the equation we get,
Volume of the gold bar
Now that we have the volume we can find the mass by using the formula,
The density of the gold is 19.32 grams per cubic centimeter. Plugging in the values of density and volume we get:
grams
So, the mass of the gold bar is 14252.769 grams
Answer:
A) -2 - i√3 , -2 + i√3
Step-by-step explanation:
Solve using quadratic formula
x² + 4x + 7 = 0
The Almighty Formula
= -b ± √b² - 4ac/2a
Where ax + bx² + c = 0
From the above question
a = 1, b = 4, c= 7
Hence,
-4 ± √4² - 4 × 1 × 7/2 × 1
-4 ± √16 - 28/2
=( -4 ± √-12)/2
Since
b² - 4ac < 0
We have two complex roots
Simplifying
( -4 ± √-12)/2
= -4/2 ± √-12/2
= -2 ± 2√3i/2
= -2 ± √3i
Therefore,
-2 - √3i , -2 + √3i
or
-2 - i√3 , -2 + i√3
Option A , is the correct answer