<span>In the question "for the place values that occur to the right of the decimal point, each place value is ten times ____ than the place value to its left"
The correct answer is smaller because in the place value system, the place values to the left of the decimal point decreases by a factor of ten for every number to the right.
Thus, each new number is ten times smaller than the number to its left.</span>
Answer:
A
Step-by-step explanation:
The function has vertical asymptotes at x=7 and x=-3, so the denominator needs to have factors (x-7) and (x+3).
This eliminates all the options except for A.
Answer:
In a proper fraction, the numerator is less than the denominator.
Step-by-step explanation:
For example, 3/4. It is a proper fraction because the numerator is not greater than the denominator.
Answer:
9 sqrt(2) /2 = PQ
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/ hypotenuse
sin 45 = PQ = 9
9 sin 45 = PQ
9 sqrt(2) /2 = PQ
Remark
You need 2 facts to solve this
1. The area of a hexagon is
A = 3*(sqrt(3) ) * a^2/2
Just to make this clear, I'll put it in Latex
2. The second fact you need to know is that the radius = the length of the side a.
Givens
r = 20 in
a = r where a is the length of the side of a hexagon.
Formula Substitute and solve.
A = 3*(sqrt(3) * a^2 ) / 2
A = 3*(sqrt(3) * 20^2) / 2
A = 3*sqrt(3) * 400 / 2
A = 3*sqrt(3) * 200
A = 3*1.7321 * 200
A = 1039 square inches.
