Answer:
Step-by-step explanation:
Let the length and breadth of the rectangle be a,b units respectively.
Then the area will be ab square units.
Now if the length of the rectangle is reduced by 5 units and breadth is increased by 2 units then new length and breadth will be (a−5) units and (b+2) units.
Then new area will be (a−5)(b+2).
Then according to the problem,
(a−5)(b+2)−ab=−80
or, 2a−5b=−70.......(1).
Now if length of the rectangle is increased by 10 units and breadth is decreased by 5 units then new length and breadth will be (a+10) units and (b−5) units.
Then new area will be (a+10)(b−5).
Then according to the problem,
(a+10)(b−5)−ab=50
or, 10b−5a=100
or, 2b−a=20
or, 4b−2a=40......(2).
Now adding (1) and (2) we get
−b=−30
or, b=30.
Putting the value of b in (1) we get, a=40.
Now a+b=40+30=70.
Answer:
D. 15
Step-by-step explanation:
Let the missing length be represented as x.
Thus:
(24 - x)/12 = x/20 => angle bisector theorem
Cross multiply
20(24 - x) = x(12)
480 - 20x = 12x
480 - 20x + 20x = 12x + 20x
480 = 32x
480/32 = 32x/32
15 = x
Missing length = x = 15
Answer:
X=®™✓©™[[
Step-by-step explanation:
¯\_༼ ಥ ‿ ಥ ༽_/¯
Answer:
Rounded to a whole number, the player has 12 bonus stars.
Step-by-step explanation:
Since the video game establishes that for every 1,333 points of attack power 3 levels are gained, and that the player has a total of 0.21 million attack points, to determine the number of levels that player has it is necessary to perform the following calculation :
0.21 million = 210,000
210,000 / 1,333 x 3 = Levels
472.6 = Levels
Now, every 38 levels, the game awards a bonus star. To determine the amount of bonus stars that the player has, the following division must be made:
472.6 / 38 = X
12.43 = X
Thus, rounded to a whole number, the player has 12 bonus stars.
A bar graph is when you want to compare the data in the data set (which this data set does)
A line graph is used when the data set creates a straight line (which this data set does not)
A circle graph (also known as a pie chart) is used when the data set measures percentages that will total 100% (which this data set does not)
A stem plot is used when you want to show the frequency of the beginning digit <em>or digits</em> (which this data set does not)
Answer: A
