Reuben needs 280 programs for the school play on Thursday. How many boxes of programs will he need, given that each box contains
1 answer:
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Answer:
The value of the first "" in the number
is ten times that of the second "
" in this number.
Step-by-step explanation:
What gives the number "" its value? Of course, each of its six digits has contributed. However, their significance are not exactly the same. For example, changing the first
to
would give
and increase the value of this number by
. On the other hand, changing the second
to
would give
, which is an increase of only
compared to the original number.
The order of these two digits matter because the number "" is written using positional notation. In this notation, the position of each digits gives the digit a unique weight. For example, in
:
.
(Note that the index starts at from the right-hand side.)
Using these weights, the value can be written as the sum:
.
As seen in this sum, the first "" contributed
to the total value, while the second "
" contributed only
.
Hence: The value of the first "" in the number
is ten times that of the second "
" in this number.
Answer:
All four options are correct.
Step-by-step explanation:
Option 1
m∠DPQ = m∠FQB = 90° [Corresponding angles theorem]
By the converse property of corresponding angles theorem,
CD║EF
Since, angle between AB and CD is 90°,
AB⊥CD
True
Option 2
Since, angles between AB and EF is 90°, both will be perpendicular.
AB ⊥ EF
AB ⊥ CD
True
Option 3
CD║EF and AB ⊥ EF
True
Option 4
CD║EF, AB ⊥ CD and AB ⊥ EF
True
Therefore, all options are correct.
Answer:
On a keyboard you would type sqrt(41)
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Work Shown:
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A slight alternative is to plot the point M(2,-5) to form right triangle LMN. The 90 degree angle is at point M.
The legs are of length LM = 4 and MN = 5, which are found by subtracting the x coordinates together and the y coordinates together (or you can count the spaces). From there, use the Pythagorean theorem to get the hypotenuse LN.
The distance formula is an altered version of the Pythagorean theorem.