Step-by-step explanation:
floor = 12*10= 120 sq ft
rug = r² = 9 Пr2
120-9π = 91.74 sq ft
Answer:
= 486 in²
Step-by-step explanation:
Linear scale factor = Image distance/object distance
Therefore; Linear scale factor = OL'/OL
= 54/ 12
= 9/2
Area scale factor is equivalent to the square of linear scale factor
Thus;
Area scale factor = (9/2)²
= 81/4
Hence; 81/4 = Area of larger rectangle/Area of smaller rectangle
Area of the smaller rectangle = 4 ×6 = 24 in²
Therefore;
Area of enlarged or larger pic = 81/4× 24
<u>= 486 in²</u>
Answer: 405 students
Step-by-step explanation:
From the question, Banneker Middle School has 750 students and we are told that Lynn surveys a random sample of 50 students and finds that 27 have pet dogs. The number of students at the school that are likely to have pet dogs goes thus:
Since out of 50 students surveyed, 27 have pet dogs, this means we multiply the fraction by 750. This can be mathematically written as:
= 27/50 × 750
= 27 × 15
= 405
This means 405 students are expecting to have pet dogs.
Let area of triangle AEC = x
Area of triangle BAC = 1/2 * 15 * 12 = 90
Area of triangle DCA = 1/2 * 15 * 6 = 45
90 = p + x and
45 = q + x Subtracting the 2 equations:-
90 - 45 = p - q
Answer p - q = 45
