Answer:
The scale factor is 4.5
Step-by-step explanation:
Scale factor from ∆RST to ∆XYZ = side length of ∆XYZ / corresponding side length of ∆RST
Thus:
XY corresponds to RS
XY = 45
RS = 10
Therefore:
Scale factor = 45/10 = 4.5
Scale factor from ∆RST to ∆XYZ = 4.5
The area of the circle is
... A = (π/4)d² . . . . where d=10 in
The area of the square is
... A = d² . . . . . . . . where d=10 in
The amount of the square that is not in the circle is
... (1 -π/4)d² = 0.2146018d² ≈ 21.5 in² . . . for d=10 in
Answer:
b)37.5
Step-by-step explanation:
the ratio 3:2 is the same as 1.5, so you multiply 1.5 & 25 to get 37.5 units
Answer:
<h2>2(x - 5)(x + 3)</h2>
Step-by-step explanation:
![2x^2-4x-30\\\\=2\cdot x^2-2\cdot2x-2\cdot15\\\\=2(x^2-2x-15)\\\\=2(x^2+3x-5x-15)\\\\=2[x(x+3)-5(x+3)]\\\\=2(x+3)(x-5)](https://tex.z-dn.net/?f=2x%5E2-4x-30%5C%5C%5C%5C%3D2%5Ccdot%20x%5E2-2%5Ccdot2x-2%5Ccdot15%5C%5C%5C%5C%3D2%28x%5E2-2x-15%29%5C%5C%5C%5C%3D2%28x%5E2%2B3x-5x-15%29%5C%5C%5C%5C%3D2%5Bx%28x%2B3%29-5%28x%2B3%29%5D%5C%5C%5C%5C%3D2%28x%2B3%29%28x-5%29)
0.0075 ÷ (1.5 x 10^-6) = (7.5 x 10^-3) ÷ (1.5 x 10^-6) = (7.5 ÷ 1.5) x (10^(-3 - (-6))) = 5 x 10^(-3 + 6) = 5 x 10^3
