Answer=13 feet long
This information describes a right triangle, with sides 5ft and 12ft.
a²+b²=c²
5²+12²=c²
25+144=c²
169=c²
√169=√c²
13=c
The ladder needs to be 13ft long
Answer:
The machine can make 24 bottles of soda per minute
Step-by-step explanation:
Looking at the graph of the relationship, we can see that the number of bottles per minute simply represent the slope of the line
Thus, by calculating the slope using the given points, we can have the number of bottles per minute
We have the formula as;
m = (y2-y1)/(x2-x1)
(x1,y1) = (4,96)
(x2,y2) = (6,144)
m = (144-96)/(6-4) = 48/2 = 24
4 unknowns needs 4 equations. I'll call the unknown numbers a,b,c,d in that order left to right.
4 + a = b
a + b = c
b + c = d
c + d = 67
let's use substitution to get rid to combine equations and get rid of variables.
If a + b = c then a = c - b
4 + (c - b) = b
4 + c = 2b
If b + c = d then b = d - c
4 + c = 2(d - c)
4 + c = 2d - 2c
4 + 3c = 2d
then we have c + d = 67 so c = 67 - d
4 + 3(67 - d) = 2d
4 + 201 - 3d = 2d
205 = 5d
d = 41
Should be easy now, subtract backwards.
67 - 41 = 26
41 - 26 = 15
26 - 15 = 11
15 - 11 = 4
4, 11, 15, 26, 41, 67
So first you need to find 1/12 of 375. To do this you need to divide 375 by 12. So, your answer will be 31.25 per week.
