Answer:
<h3>a) 3/4</h3><h3>b) 4:3</h3>
Step-by-step explanation:
Find the diagram attached.
Given the scale factor of circle A to circle B as 3/4
A:B = 3:4
Total ratio = 3+4 = 7
Area of bigger square A = 45sq. units;
The Total area can be gotten using the expression;
where;
x is the total area of both circles.
Get x;
Area of circle B = 78.75 - 45 = 33.75
Let the fraction required be y
45 * y = 33.75
y = 33.75/45
y = 3375/4500
y = 45/60
y = 3/4
Hence the area of circle B is 45 * <u>3/4</u> of circle A
b)The ratio of circle A to Circle B is expressed as;
Ratio = Area of circle A/Area of circle B
Ratio = 45/33.75
Ratio = 45 * 100/3375
ratio = 4500/3375
Ratio = 4:3
Hence the ratio of circle A to Circle B is 4:3
Heather winning, so the probability that Isabelle will win is : 1 whole right ?
16/81 = 65 over 81
Answer:
(k - 4) ÷ 9
(k - 4) / 9
Step-by-step explanation:
k decreased by 4 = k - 4
quotient of k decreased by 4 and 9
= (k - 4) ÷ 9 (using division sign)
Or
= (k - 4) / 9 (as a fraction)
Answer:
Step-by-step explanation:
<u>Given equation</u>:
This is an equation for a horizontal hyperbola.
<u>To complete the square for a hyperbola</u>
Arrange the equation so all the terms with variables are on the left side and the constant is on the right side.
Factor out the coefficient of the x² term and the y² term.
Add the square of half the coefficient of x and y inside the parentheses of the left side, and add the distributed values to the right side:
Factor the two perfect trinomials on the left side:
Divide both sides by the number of the right side so the right side equals 1:
Simplify:
Therefore, this is the standard equation for a horizontal hyperbola with:
- center = (1, 2)
- vertices = (-2, 2) and (4, 2)
- co-vertices = (1, 0) and (1, 4)
Answer:
The price increased by %60. Why? Because 160% of 500 is 800, so that must mean the percent only increased by 60.
