Answer:
Step-by-step explanation:
(im presuming this is a triangle)
65 + 45 = 110°
angles in a triangle add up to 180°
180 - 110 = 70°
x = 70°
Answer:
5 1/3
2/6 can be divided by 2 so it is 1/3
Another way to represent 5 2/6 is to:
Write 5 2/6 as a decimal = 5.333333
Write 5 2/6 as a mixed number= 32/6
Or simplify 5 2/6= 5 1/3
Answer:
3x + 2y = 31
Step-by-step explanation:
Solve the given equation for y to determine the slope of this line:
-3y = -2x = -18, so that y = (2/3)x + 6.
Therefore, a line perpendicular to the given line has the slope -3/2, which is the negative reciprocal of this 2/3.
Using the slope-intercept formula y = mx + b and inserting the knowns (slope = m = -3/2, y = 5 and x = -7), we obtain:
5 = (3/2)(-7) + b, or (after multiplying all terms by 2):
10 = -21 + 2b, or 2b = 31, or b = 31/2.
Then the equation is y = (-3/2)x + 31/2.
Let's put this into standard form. Multiply all terms by 2, obtaining:
2y = -3x + 31, or
3x + 2y = 31 This is the equation of the perpendicular line in question.
Answer= 4 hours.
The first pipe can fill one pool in nine hours. So in one hour, it can fill 1/9th of the pool. Same with the other pipe, it can fill 1/6th of the pool in other hour.
So 1/9 + 1/6 would represent the first hour of filling the pool. Since 1/9 + 1/6 = .277.. , 27% of the pool is filled. Repeat this until you get to 100% (full pool).
First hour, 1/6 + 1/9 = .27
Second hour, 2/6 + 2/9 = .5
Third hour, 3/6 + 3/9 = .83
Fourth hour, 4/6 + 4/9 = 1.11
So in 4 hours, the pool will be filled.
3 7 10
Sorry if I’m wrong