Answer:
Step-by-step explanation:
The rule is ...
log(a/b) = log(a) -log(b) . . . . all logs to the same base
Then for a/b = 13/x, this becomes ...
log(13/x) = log(13) -log(x)
If the base of logarithms is 9, then this is ...
log9(13/x) = log9(13) -log9(x)
Answer:
The radius r of the circle is 44cm
Step-by-step explanation:
This problem bothers on the mensuration of flat shapes, a circular shape.
Given data
Circumference of circle C= 88πcm
Radius of circle r=?
The problem seeks to solve for the radius r.
To solve for the radius let us apply the formula for the circumference of a circle
C=2πr
Substituting our given data
88π=2πr
Making r subject of formula we have
r= 88π/2π
r= 44cm
Answer:
x = 5sqrt(3)
Step-by-step explanation:
This is a right triangle. We can use the Pythagorean theorem to solve
a^2 +b^2 = c^2
5^2 +x^2 = 10^2
25+x^2 = 100
Subtract 25 from each side
25-25 +x^2 = 100-25
x^2 = 75
Take the square root of each side
sqrt(x^2) = sqrt(75)
x = sqrt(3*25)
Remember sqrt(ab) = sqrt(a)sqrt(b)
x = sqrt(5)sqrt(3)
x = 5sqrt(3)
Each player would get 13 cards if that’s what your question meant