Answer: 200, 160
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Step 1: equal any two of the three equations together
2x + 3 = 3x - 9
Step 2: isolate the variable
3 = x - 9
6 = x
Answer:
the expression is:
and 2730 different ways are possible.
Step-by-step explanation:
In the given question we have to choose a president, vice
president, and secretary.
Permutations are used when order is important so, as in the given question order is required. We would use permutations
The formula used is: where:
n=total number of objects
r=number of objects selected
In our case: n=15, r=3
Putting values and finding the answer:
So, the expression is:
and 2730 different ways are possible.
<h3><u>Given </u><u>:</u><u>-</u></h3>
- We have given one rectangle whose 3 by 4th part is shaded and remaining part is non shaded.
<h3>
<u>To </u><u>Find </u><u>:</u><u>-</u><u> </u></h3>
- We have to find the area of shaded region of the given figure .
<h3>
<u>Let's </u><u>Begin </u><u>:</u><u>-</u><u> </u></h3>
<u>Here</u><u>, </u><u>We </u><u>have </u>
- The dimensions of large rectangle as 12 units and 8 units
- <u>That </u><u>is</u><u>, </u>
- The dimensions of non shaded rectangles are 9 units and 4 units
<u>We </u><u>know </u><u>that</u><u>, </u>
Area of rectangle
<u>Subsitute </u><u>the </u><u>required </u><u>values</u><u>, </u>
Area of large rectangle
Thus, The area of large rectangle is 96 units² .
<h3>
<u>Now</u><u>, </u></h3>
Area of non - shaded rectangle
Thus, The area of non shaded rectangle is 36 units² .
<h3>
<u>Therefore</u><u>, </u></h3>
Area of shaded region
= Area of large rectangle - Area of non shaded rectangle
<u>Subsitute </u><u>the </u><u>required </u><u>values</u><u>, </u>
Hence, The total area of shaded region is 60 sq.units.