360 degrees in a circle
360 degrees minus 90 degrees (the right angle of the square) = 270 degrees
270 degrees divided by 2 = 135 degrees
f = 135 degrees
9514 1404 393
Answer:
(6.2, 4.5)
Step-by-step explanation:
We want, for some point P, ...
(P -A) / (B -P) = 1 / 3
3(P -A) = (B - P) . . . . . multiply by 3
4P = B +3A . . . . . . . . add P+3A
P = (B +3A)/4 . . . . . . .divide by 4
Filling in the coordinate values, we can find P to be ...
P = ((2.3, 5.4) +3(7.5, 4.2))/4 = (2.3+22.5, 5.4+12.6)/4
P = (6.2, 4.5)
Area of square
= 7x7
=49
Area of triangle
=0.5x 7x12
=42
Total area of figure
=49+42
=91
Hence, answer is D
Answer:
B
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
To obtain this form use the method of completing the square
Given
x² - 8x + y² - 2y - 8 = 0 ( add 8 to both sides )
x² - 8x + y² - 2y = 8
add ( half the coefficient of the x/y terms )² to both sides
x² + 2(- 4)x + 16 + y² + 2(- 1)y + 1 = 8 + 16 + 1
(x - 4)² + (y - 1)² = 25 → B
Answer:
E
Step-by-step explanation:
Perimeter =5s+5s+2s+2s+0.75+0.75
2 off each implies part E