Answer:
90%
Step-by-step explanation:
<h3>
Answer: A) around 80 cm</h3>
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Explanation:
The perimeter around the circle, aka circumference, is found through this formula
C = 2*pi*r
That's for a full circle. However, we're dealing with semicircles here, so we cut that in half to get pi*r to represent the curved distance around half the circle.
For the outer larger semicircle, that curved distance is exactly 14pi
For the inner smaller semicircle, that curved distance is 7pi, since 7 is half of 14.
The total curved portions is 14pi+7pi = 21pi
Then we add on the last straight line portion that's 14 cm long to get a total perimeter of 21pi+14
This is the exact perimeter in terms of pi.
The last thing to do is replace pi with 3.14 and simplify
21pi+14 = 21*3.14+14 = 79.94
This value rounds to 80
Answer: Mrs. Alberts spent $1,050 on the floor.
Step-by-step explanation: First lets find the area to get the total amount of square feet by multiply length by width.
12.5 x 7 = 87.5 square ft.
We know that it costs $12 per square foot, and we have 87.5 square feet.
So, multiply 12 by 87.5 to find the cost that Mrs, Alberts will spend on the floor.
12 x 87.5 = 1050, or $1,050 for the total area of the floor.
Answer:
Choose some points for x to find its y, the f(x).
To find its inverse, switch the x and y coordinates.
y = 3x + 1
y = 3(-3) + 1
y = -8
f(x) (-3, -8)
f⁻¹(x) (-8, -3)
y = 3x + 1
y = 3(-2) + 1
y = -5
f(x) (-2, -5)
f⁻¹(x) (-5, -2)
y = 3x + 1
y = 3(-1) + 1
y = -2
f(x) (-1, -2)
f⁻¹(x) (-2, -1)
y = 3x + 1
y = 3(0) + 1
y = 1
f(x) (0, 1)
f⁻¹(x) (1, 0)
y = 3x + 1
y = 3(1) + 1
y = 4
f(x) (1, 4)
f⁻¹(x) (4, 1)
y = 3x + 1
y = 3(2) + 1
y = 7
f(x) (2, 7)
f⁻¹(x) (7, 2)
y = 3x + 1
y = 3(3) + 1
y = 10
f(x) (3, 10)
f⁻¹(x) (10, 3)
