We know that
if <span>points a and b lie on the circle and O is the center
so
OA is the radius
OA=OB
5x-11=4(x-1)-----> 5x-11=4x-4----> 5x-4x=11-4-----> x=7
OA=5x-11-------> OA=5*7-11-----> OA=24 units
the diameter is (OA+OB)
2*OA------> 2*24------> 48 units</span>
Answer:
$1.46
Step-by-step explanation:
To find the original price of the game, write a proportion. $1.54 is the amount after a 5.5% tax rate. This means he paid 105.5% on the original price.
Find y by cross multiplying numerator and denominator of each fraction.
1.54(100) = 105.5y
154 = 105.5y
1.46 = y
Xy = -109i
We could find the value of i by substitute the algebraic form of x and y to the equation above
xy = -109i
(10 - 3i)(3 - 10i) = -109i
(10)(3) -3i(3) + 10(-10i) - 3i(-10i) = -109i
30 - 9i - 100i -30i² = -109i
multiply both side by -1
-30 + 9i + 100i + 30i² = 109i
30i² + 9i + 100i - 109i - 30 = 0
30i² - 30 = 0
30i² = 30
i² = 1
i = -1 or i = 1
Then find the value of x and y if i = -1
If i = -1, therefore
x = 10 - 3(-1)
x = 10 + 3
x = 13
y = (3 - 10i)
y = 3 - 10(-1)
y = 3 + 10
y = 13
x/y = 13/13 = 1
Then find the value of x and y if i = 1
x = 10 - 3(1)
x = 10 - 3
x = 7
y = (3 - 10i)
y = 3 - 10(1)
y = 3 - 10
y = -7
x/y = 7/-7 = -1
The value of x/y is either 1 or -1
The answer is f=12.56 because you take 7*3.14 and get 21.98 and then you take 3*3.14 and get 9.42 then you take 21.98-9.42 and get 12.56
Answer:
0.85p is equivalent
Step-by-step explanation:
In this question, we are asked to find which expression is equivalent to p -0.15p, representing 15% discount off an item purchase.
We need to understand that if she is buying at 15% discount, this automatically means she is paying 85% of the price. As the price paid plus the discount would be equal to 100%.
Now let’s cost what she paid.
Mathematically, the amount paid would be 85/100 * p = 0.85p
Hence the expression 0.85p is equivalent to p - 0.15p
