Answer:
12 cm
Step-by-step explanation:
This is a proportionality/similarity problem.
10 cm turned to 4 cm. So by how much has it decreased? In other words, <em>10 multiplied by </em><em>WHAT</em><em> is 4?</em>
0.4 is also known as the scale factor from the large diagram to the small diagram.
So how much would 30 cm become?<em> It would be 30 multiplied by the scale factor, which is </em><em>0.4</em><em>.</em>
<u>Hence, the length of the reduced diagram would be </u><u>12 cm</u><u>.</u>
Answer:
´The variance is 10000
Step-by-step explanation:
The variance is defined as the square of standard deviation, consequently it is as follows:
σ^2=
σ^2=10000
Answer:
Step-by-step explanation:
Vertical Angles are congruent, so set the two expressions equal to each other:
[x + 30]° = [3x - 18]°
-[3x]° - [3x]°
___________
−18° = 30° - [2x]°
- 30° - 30°
____________
−48° = [−2x]°
____ ___
−2° −2°
[Plug this back into both expressions to get both <em>m</em>∠<em>N</em> and <em>m</em>∠<em>M</em> at 54°.]
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Answer:
140 ounces of water and 105 ounces of 35% salt solution.
Explanation:
Let be the ounces of water that need to be added and
be the ounces of 35% solution that need to to be added.
We know that the total of ounces of water and of 35% solution must be 245 ounces:
35% of is the salt, and since no salt is added with addition of
liters of water, this must be equal to the amount of salt in the final 15% solution:
we solve for and get:
We put this value into and solve for
to get:
Thus we have 140 ounces of water and 105 ounces of 35% solution.