Answer:
Radius of P = 5 cm
Step-by-step explanation:
Radius (r) of Q = 20 cm
Area of Q = 4 × Area of P
This means that:
Area of the quarter circle (Q) = 4 × Area of the circle (P)
Thus:
¼(πr²) = 4 × πr²
Plug in the values into the equation
¼(π*20²) = 4 × πr²
Find the value of r, which is the radius of P
¼(400π) = 4πr²
Multiply both sides by 4
400π = 4πr²*4
400π = 16πr²
Divide both sides by 16π
400π/16π = r²
25 = r²
Take the square root of both sides
√25 = √r²
5 = r
r = 5
Therefore, the radius of P = 5 cm
We can figure this out by finding all the combinations:
0 + 7 = 7 (07)
1 + 6 = 7 (16)
2 + 5 = 7 (25)
3 + 4 = 7 (34)
4 + 3 = 7 (43)
5 + 2 = 7 (52)
6 + 1 = 7 (61)
7 + 0 = 7 (70)
Obviously 70 can't be our number, as it would be a one digit number,
Since we're going down in value ( 27 less ) our original number will be a larger number.
52 reversed is 25 which is 27 less than 52.
Our original number is 52 here.
Answer:
C
Step-by-step explanation:
(2x+3)(x+4) = 2x² + 8x + 3x + 12
= 2x² + 11x + 12 ≠ 2x² + 10x + 12