Answer:
4×10⁶ is the answer.........
Answer:
positive, real, irrational, algebraic
Step-by-step explanation:
Numbers are categorized various ways. Some categories include ...
prime, composite
real, complex
integer, rational, irrational
whole number, natural number
positive, negative, zero
algebraic, non-algebraic*
√23 is the positive, real, irrational root of a prime number. It is an algebraic number.
_____
* An algebraic number is a root of a polynomial with integer coefficients.
√23 is a root of x^2 -23 = 0.
Rectangular and polar forms are two forms of equations that translates to plot. In this case, the two forms are convertible to each other by the expressions:
r sin theta = y
r cos theta = x
x2 + y2 = r2
we are given the polar expression r csc theta = 8 and is asked to convert to rectangular form.
in this case, csc theta is equal to 1/ sin theta. thys
r / sin theta = 8
in order to make use of the equations above, then
we multiply r to both numerator and denominator in the left side, that is
r^2 / r sin theta = 8
x2+y2 / y = 8
x 2 + y2 = 8y
Answer:
226.2 feet
Step-by-step explanation:
The fence around the dog's house is a circle, with a radius of 12 meters.
To calculate the distance the dog runs, we need to find the circumference of that circle, which is given by the formula:
C = 2 π r, since we know r, the calculation is easy:
C = 2 π 12 = 24 π = 75.4 feet.
The dog makes three laps around the circle before calming down... so he runs 3 times 75.4 feet.
Dogs run = 3 x 75.4 ft = 226.2 feet
Answer:
46 yards.
Step-by-step explanation:
Subtract the new balance from the original balance:
30.00 - 19.88 = 10.12
Therefore, Rachel spent $10.12
Divide the result by the cost of ribbons per yard:
10.12 ÷ 0.22 = 46
Therefore, Racheal bought 46 yeards of ribbon.
