We know that
[scale factor]=1/2
[dilated area of circle]=[original area of circle]*[scale factor]²
so
[dilated area of circle]=[original area of circle]*[1/2]²
[dilated area of circle]=[original area of circle]*[1/4]
therefore
the answer is
<span>The area will be 1/4 the original</span>
Answer:
54 students
Step-by-step explanation:
42 / 7 = 6
9 x 6 = 54
42 : 54 = 7 : 9
9/4x -15 for x=4
To find this answer you must plug the 4 everywhere the x is located.
(9/4)(4) -15
Multiply 9/4 by 4
(9/4) x 4 = 9
Now we take our 9 answer and add it to -15.
9-15 = -6
The answer is -6
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For the other equation, you also must plug in 3 where ever x is located in the equation.
5/3x -3/5
(5/3)(3) -3/5
Multiply 5/3 and 3
(5/3) x 3 = 5
Take that answer of 5 and add -3/5
5- (3/5) =4 2/5
The answer to this equation would be 4 2/5 or 4.4
To solve this you would use the pythagorean theorem since the brace is making the frame look like two right triangles. The theorem states that for a triangle with a right angle, A^2+B^2=C^2. A and B are the sides of the frame and C is the brace which is like the hypotenuse of the triangle. It doesn't matter which side is A or B so you can put 6 or 8 in place of either in the equation. 6^2+8^2=C^2. If you simplify this it equals 36+64=C^2, which then simplifies to 100=C^2. Then you take the square root of both sides (what number multiplied by itself = the number you are trying to get, in this case, 100). So then you get C=10 because 10x10=100. So the length of the diagonal brace is 10ft.
Three miles a day should be the correct answer
