Answer:
<em>The correct option is: 11.5</em>
Step-by-step explanation:
Suppose, the length of the unknown side is 
So, here the length of hypotenuse is 14 and the lengths of other two sides are 8 and .
As the given triangle is right angle triangle, so <u>using Pythagorean theorem</u>, we will get.........
<em>(Rounded to the nearest tenth)</em>
So, the length of the unknown side is 11.5
Answer:
A. -4
Step-by-step explanation:
Given the function f(x) = x + 3 for x ≤ -1 and 2x - c for x > -1, for the function to be continuous, the right hand limit of the function must be equal to its left hand limit.
For the left hand limit;
The function at the left hand occurs at x<-1
f-(x) = x+3
f-(-1) = -1+3
f-(-1) = 2
For the right hand limit, the function occurs at x>-1
f+(x) = 2x-c
f+(-1) = 2(-1)-c
f+(-1) = -2-c
For the function f(x) to be continuous on the entire real line at x = -1, then
f-(-1) = f+(-1)
On equating both sides:
2 = -2-c
Add 2 to both sides
2+2 = -2-c+2
4 =-c
Multiply both sides by minus.
-(-c) = -4
c = -4
Hence the value of c so that f(x) is continuous on the entire real line is -4
X = 4.33333333333
y = 5.33333333333
z = 6.33333333333
<span>His earned income level are as follows.
The base amount is $14,138.50
</span><span><span>The amount over $62,450 = $82,500 - $62,450 =$20,050
The amount of tax on the third $20,050 is given by 31% of $20,050 = 0.31 x $20,050 = $6,215.5</span>
(i.e. Multiply line 3 by 31% = $6,215.5)
Total tax = $ 14,138.50 + $6,215.50 = $20,354
(i.e. Add lines 2 and 4 = $</span>20,354)
