#9. There are 180 degrees in a triangle. We already know two of the sides which added together make 112. Then we do, 180-112=68
#10. We do the same process. 90 + 60 = 150
150-180= 30
#11. To find whether or not any three numbers can make a triangle, two of the numbers must equal more than the remaining number. But this has to be the case for any combination. 6+7=13. 13 is larger than 11. So yes it can.
#12. 8+2=10 which may be bigger than 6 but, 6+2=8. Which is equal to 8. So no, it cannot make a triangle.
I’m still working out the first question
Answer:
9425
D
Step-by-step explanation:
They are in the third tax bracket down. That means that their joint income is over 67900 but less than 137050.
The base rate is 9350. But they are 68200 - 67900 = 300 over the minimum.
So 25% of that 300 is also to be paid to the government 25/100 * 300 = 75 dollars
Now they must pay 9350 + 75 = 9425
Answer D
Answer:
8.5 in
Step-by-step explanation:
You are solving for the hypotenuse right? So you would use this formula:
c = square root a^2+b^2
the c is the hypotenuse (long side of a right triangle) and a will be 4 and b will be 7.5. substitute the numbers in, solve, and you get 8.5 inches!
x = square root 4^2 + 7.5^2
x = square root 16 + 56.25
x = square root 72.25
x = 8.5 inches
Answer:
Step-by-step explanation:
We use binomial expansion for 
This can be rewritten as
![[x(1+\dfrac{h}{x})]^{\frac{1}{2}}](https://tex.z-dn.net/?f=%5Bx%281%2B%5Cdfrac%7Bh%7D%7Bx%7D%29%5D%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D)
From the expansion
Setting 
and 
,
Multiplying by 
,
The limit of this as 
is
(since all the other terms involve 
and vanish to 0.)
20/9 or 2 2/9 5/9 divided by 1/4 = 5/9 x 4 = 20/9
