3 Examine the table shown below. Enter the slope of the line represented in the table.
2 answers:
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Answer:
Deepak: 4 t-shirts,
Tarun: 12 t-shirts,
Mahesh: 14 t-shirts.
Step-by-step explanation:
Let x represent number of t-shirts that Deepak has.
Please consider the complete question.
Tarun has 4 t-shirt more than twice the number of T-shirts Deepak has. Mahesh has 2 more than thrice the number of T-shirts Deepak has. If the ratio of the t-shirt that Tarun and Mahesh have is 6 : 7, find out the number of the t-shirt each of them has.
Since Tarun has 4 t-shirt more than twice the number of T-shirts Deepak has, so the number of t-shirts that Tarun has would be .
We are also told that Mahesh has 2 more than thrice the number of T-shirts Deepak has. So the number of t-shirts that Mahesh has would be .
Since the ratio of the t-shirt that Tarun and Mahesh have is 6 : 7, so we can represent this information in an equation as:
Cross multiply:
Therefore, Deepak has 4 t-shirts.
The number of t-shirts that Tarun has would be
Therefore, Tarun has 12 t-shirts.
The number of t-shirts that Mahesh has would be
Therefore, Mahesh has 14 t-shirts.
Step-by-step explanation:
OPQ originally forms a sector, the formula for sector is
where x is the degrees of rotation between the two radii.
We know three sides length and is trying to find an angle between the radii so we can use law of cosines which states that
This isn't the standard formula, it's for this problem
So we found our angle of rotation, which is 106.26
Now, we do the sector formula.
is the area of sector.
Now let find the area of triangle, we can use Heron formula,
The area of a triangle is
where s is the semi-perimeter.
To find s, add all the side lengths up, 10,10,16 and divide it by 2.
Which is
So our area of the triangle is 48. Now, to find the shaded area subtract the main area,( the sector of the circle) by the area of the triangle so we get
Which is an approximate or
44.73