Answer:
22 square feet
Step-by-step explanation:
Area of shaded region = Area of square - Area of circle. The diameter of the circle is also the length of the side of the square as the circumference of the circle is on the circumference of the square.
Area of circle = 3.14 × r × r
r = 10 ÷ 2
= 5
Area of circle = 3.14 × 5 × 5
= 78.5
Area of square = length × length
Area of square = 10 × 10
= 100
Area of shaded region = Square - Circle
= 100 - 78.5
= 21.5
= 22 (to the nearest square foot)
I hope this helps :)
Answer:
2x² +7x - 4
Step-by-step explanation:
(2x-1)(x+4)
2x² + 8x - x - 4
simplify:
2x² +7x - 4
It is the last one because if you go 3 left you have to change the sign to a positive (but it is still a negative) and the 2 remain the same sign so it’s h(x-3)-2
9514 1404 393
Answer:
(a) The scale factor is 2.5 and the coordinates of point C are (–2.4, –0.8)
Step-by-step explanation:
We are given ...
A(-4, 3.2) and A'(-10, 8)
C'( -6, -2)
__
The scale factor is the ratio of corresponding coordinates:
A'x/Ax = -10/-4 = 2.5 . . . scale factor
Then the coordinates of C will be ...
C' = 2.5C
C = C'/2.5 = (-6, -2)/2.5
C = (-2.4, -0.8)
Answer:
V= 392 ft^3
Step-by-step explanation:
We know that the volume V of a pyramid is one-third the area of the base B times the height h.
If h= 8ft and areabase = 7ft x 7ft = 49 ft^2.
Then, the Volume V is:
V = areabase x height = 49 ft^2 x 8ft = 392 ft^3
So the solution is option D.
