Answer:
Solve by substitution
[y=5/2x-4]
[y= -x+3]
Substitute y = -x +3
[-x+3=5/2x-4]
Isolate x for -x+3=5/2x-4: x=2
For y = -x+3
Substitute x = 2
y= -2+3
Simplify
y=1
The solutions to the system of equations are:
y=1 x=2
Pythagoras theorem: leg 1 squared + leg 2 squared = hypotenuse squared
In the diagram, the triangle has angles 90 and 45. So the other angle in the triangle must be 45 degrees as well. (180 - 90 -45 = 45)
This means it is an isosceles triangle (since two angles are the same), so the two legs have the same length.
So we can say that length of leg1 = x, and the length of leg2 also equals x
Now let's use pythagoras' theorem:
leg1 = x
leg2 = x
hypotenuse = 16
x^2 + x^2 = 16^2
2x^2 = 16^2
2x^2 = 256
x^2 = 128
x = √(128)
x = 8√2
Answer:
Check the explanation
Step-by-step explanation:
Conclusion: young people like condiments.
First, let's convert things into percentages, since the number in each age category is different. There are 143 in "Under 18", 233 in "18 to 40", 161 in "40 to 60", and 122 in "over 60".
Of the under 18s: 71 of 143 = 49.7% order three or more.
Of the 18-40s: 87 of 233 = 37.3% order three or more.
Of the 40-60s: 47 of 161 = 29.2% order three or more.
Of the 60 and ups: 28 of 122 = 23.0% order three or more.
The older you are, the less likely you are to order lots of condiments.
Since eleven is odd, there must be a centra element, which in this case is the sixth. So, we can write 11 consecutive integers as
Since the arithmetic mean is the sum of the values, divided by how many they are, we have
So, the mean of 11 consecutive integers is the 6th integer.
Answer:
1.645 feet
Step-by-step explanation:
To solve this you must divide the total length by 5. 8.225/5=1.645. Each board will be 1.645 feet long
