Answer:
Step-by-step explanation:
Groom: 0.5x+15
Bride: x
Add both ages together
0.5x+15+x=51
x=24
Bride: 24 years
Groom: 27 years
Double Check: 24+27=51
6 ! = 720
the definition of n ! ( n factorial ) is
n ! = n(n - 1)(n - 2) ..........× 3 × 2 × 1
6 ! = 6 × 5 × 4 × 3 × 2 × 1 = 720
Answer:
The circumference is 31.43 cm
The ratio of the circumference to the diameter is equal to 3:1
Step-by-step explanation:
Thed formular for the circumference of a circle is 2
r or d
where d = diameter and r = radius
if d = 10 cm, and = 3.143, then circumference of the circle can be given as
3.143*10 = 31.43 cm
The ratio of the circumference to the diameter can be given as 31.43:10
and that can be given as 3.143:1
or 3:1, for the nearest whole number
<span>P(9,12): For all intents and purposes, the hypotenuse is "r", the opposite side is "y", and the adjacent side is "x".
x = 9 (from the P(9,12))
y = 12 (also from the point)
Using the Pythagorean Theorem, you find out that r = 15.
Therefore, since cos θ = x/r
cos θ = 9/15 or 3/5
Answer: 3/5</span>
<span>The system of linear equations
−x − y = 1
y = x + 3
can be solved in various ways. This problem hints that you should graph both lines and find the coordinates of their point of intersection.
But we can also solve this system using substitution. Note that y = x + 3. We can subst. x + 3 for y in the 1st equation, as follows:
-x - (x+3) = 1. This simplifies to -x -x - 3 = 1, or -2x = 4, or x = -2.
Since y = x + 3, subbing -2 for x produces y: y = -2 + 3 = 1
Thus, the solution is (-2, 1). </span>
