For this problem, all you need to do is find the three #'s that add up to 156.
So, lets look at the answers and add them up.
A. 50, 52, 54
50 + 52 + 54 = 156
B. 51,52,53
51 + 52 + 53 = 156
C. 49,50,51
49 + 50 + 51 = 150
D. 49,51,53
49 + 51 + 53 = 153
We get the answers (50,52,54) and (51,52,53)
Now, consecutive numbers are numbers that in order, like 1,2,3.
Therefore, the answer is (51,52,53)
use the order of operations for this equation.
multiplication comes first.
11(11) - 6(17) + 4
121 - 102 + 4
for addition and subtraction, order doesn’t matter.
121 - 102 = 19
19 + 4 = 23
answer = 23
Area of rectangle is the multiplication between the sides.
The first rectangle:
A = (2x + 5) . (3x - 2)
A = 2x . 3x - 2 . 2x + 5 . 3x - 2 . 5
A = 6x² - 4x + 15x - 10
A = 6x² + 11x - 10
The second rectangle:
A = (5y + 5) . (2y - 3)
A = 5y . 2y - 3 . 5y + 5 . 2y - 3 . 5
A = 10y² - 15y + 10y - 15
A = 10y² - 5y - 15
Answer:
Step-by-step explanation:
The swing of the tip of pendulum is creating an arc. The question is actually asking for the length of this arc. The length of an arc is given by 
, where 
is the radius of the circle and 
is the angle of the arc.
In this problem, we're given:
Substituting given values, we get:
Answer:
m = (ps - b - uxs/t) / ux/t - p
Step-by-step explanation:
ux/t +b/m+s =p
multiplying throughout by (m+s) we get:
ux/t(m+s) + b = p(m+s)
open the brackets:
uxm/t + uxs/t + b = pm + ps
bring on one side of the equal sign all terms containg m, to make it the subject:
m(ux/t - p) = ps - b - uxs/t
m= (ps - b - uxs/t) / ux/t - p
