Answer:
If MN = XY, and XY = AB, then MN = AB. Transitive Property
If AB = CD, then CD = AB. Symmetric Property
Segment CD is congruent to segment CD. Reflexive Property
Step-by-step explanation:
Transitive property states that for all reall numbers a, b, and c, if a = b, b = c, then a = c.
Symmetric Property states that for all real numbers a and b, if a = b, then b = a.
Reflexive Property states that for every real number a, a=a
Answer:
0.37 feet.
Step-by-step explanation:
The following data were obtained from the question:
Volume (V) = 4100 ft³
Height (h) = 1.8 miles
Radius (r) =?
Next, we shall convert 1.8 miles to foot.
This can be obtained as follow:
Recall:
1 mile = 5280 ft
Therefore,
1.8 miles = 1.8 × 5280 = 9504 ft
Finally, we determine the radius as follow:
Volume (V) = 4100 ft³
Height (h) = 9504 ft
Pi (π) = 3.14
Radius (r) =?
V = πr²h
4100 = 3.14 × r² × 9504
4100 = r² × 29842.56
Divide both side by 29842.56
r² = 4100/29842.56
Take the square root of both side
r = √(4100/29842.56)
r = 0.37 ft
Therefore, the radius of the hole is 0.37 feet.
Answer:
$6.00 for 5 apples
Step-by-step explanation:
$5.00/4= $1.25 per apple
$6.00/5= $1.20 per apple
5¢ cheaper
The correct options for the linear combinations of the vectors are given by:
A, B, C, D, E and F.
<h3>What is a span between two vectors?</h3>
The span between two vectors is the set that contains all linear combinations between these two vectors.
Supposing we have two vectors u1 and u2, as is the case in this problem, the infinitely many linear combinations have the following format:
k1u1 + k2u2
In which k1 and k2 are real numbers.
With k1 = 4 and k2 = -7, we get that option A is correct.
For option B, the vector 0 will always be a part of the span, as it can be formed with constants 0, hence it is correct.
The dimension of the span is of 3, as the vectors have 3 elements, hence option C is correct.
The underlying vectors will always also be part of the span, as they can be formed with their constant 1 and the others at 0, hence options D and F are correct.
The size of the span of any vectors is of infinity, hence option E is correct while option G is not.
More can be learned about linear combinations at brainly.com/question/15885826
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