The owner of an office building is expanding the length and width of a parking lot by the same amount. The lot currently measure
s 120 ft by 80 ft, and the expansion will increase its area by 4,400 ft2. By how many feet should the length of the parking lot be increased? A = lw 1.2 f
2 answers:
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Answer:
Step-by-step explanation:
The perimeter of a polygon is equal to the sum of all the sides of the polygon. Quadrilateral PTOS consists of sides TP, SP, TO, and SO.
Since TO and SO are both radii of the circle, they must be equal. Thus, since TO is given as 10 cm, SO will also be 10 cm.
To find TP and SP, we can use the Pythagorean Theorem. Since they are tangents, they intersect the circle at a , creating right triangles
and
.
The Pythagorean Theorem states that the following is true for any right triangle:
, where
is the hypotenuse, or the longest side, of the triangle
Thus, we have:
Since both TP and SP are tangents of the circle and extend to the same point P, they will be equal.
What we know:
Thus, the perimeter of the quadrilateral PTOS is equal to
Answer:
The number of girls participated in quiz is 40 .
Step-by-step explanation:
Given as :
Total number of students took quiz = 100
Average score of 100 students = 76 points
The Average score of boys = 80 points
The Average score of girls = 70 points
Let The number of boys participated in quiz = b
Let The number of girls participate in quiz = g
Now, According to question'
Total number of students took quiz = number of boys participated in quiz + number of girls participated in quiz
Or, b + g = 100 ........A
<u>Again</u>
∵ Average score of 100 students = 76 points
∴ Total score of 100 students = 76 × 100 = 7600
So, Average score of boys × number of boys participated + Average score of girls × number of girls participated = Total score of 100 students
Or, b × 80 + g × 70 = 7600
Or, 80 b + 70 g = 7600 .........B
Now, Solving equation A and B
(80 b + 70 g ) - 70 ×( b + g ) = 7600 - 70 × 100
I.e (80 b - 70 b) + (70 g - 70 g) = 7600 - 7000
Or, 10 b + 0 = 600
∴ b =
i.e b = 60
So, The number of boys participated in quiz = b = 60
Put the value of b into eq A
∵ b + g = 100
So, g = 100 - b
Or, g = 100 - 60
i.e g = 40
So, The number of girls participated in quiz = g = 40
Hence, The number of girls participated in quiz is 40 . Answer