12^2+5^2= 169
Square root of 169= 13
The answer is 13ft
x = -17/2 or -8 1/2
That should be the correct answer
Answer:
yes
Step-by-step explanation:
Hi there!
We want to see if 9, 40, and 41 can be the sides of a triangle that can exist
We can use triangle inequalities to figure that out
For triangle inequalities, if the lengths of the sides are a, b, and c, then a+b>c, b+c>a, and c+a>b, then the lengths can make a triangle
Let's say that a=9, b=40, and c=41
Now substitute these values into the inequalities:
a+b>c
9+40>41
49>41
This is a true statement.
b+c>a
40+41>9
81>9
This is also a true statement.
41+9>40
50>40
This is a true statement as well.
Since all three of the inequalities ended up being true (all three NEED to be true in order for the given lengths to make a triangle), then we can confirm that 9, 40, and 41 can make a triangle
Hope this helps!
See more on this topic here: brainly.com/question/17357347
Answer:
7% interest = $10000
13% interest = $20000
Step-by-step explanation:
Let the amount invested at 7% interest be x.
Let the amount invested at 13% interest be y.
Thus;
x + y = 30000 - - - (eq 1)
We want to find out how much Paul needs to invest in each option to make a total 11% return on his $30,000.
Thus;
0.07x + 0.13y = 0.11(30000)
Multiply through by 100 to get rid of the decimal;
7x + 13y = 0.11(30000 × 100).
7x + 13y = 330000 - - - (eq 2)
From eq 1, x = 30000 - y
Put this for x in eq 2 to get;
7(30000 - y) + 13y = 330000
210000 - 7y + 13y = 330000
6y = 330000 - 210000
6y = 120000
y = 120000/6
y = $20000
x = 30000 - 20000
x = $10000
Thus;
Amount invested at;
7% interest = $10000
13% interest = $20000
Answer:
I was never good at this in math...