Answer:
A. 5
Step-by-step explanation:
The triangle will be a right triangle when the side lengths satisfy the Pythagorean theorem: the sum of the squares of the legs is equal to the square of the hypotenuse.
(x +1)^2 +x^2 = (√61)^2
x^2 +2x +1 +x^2 = 61 . . . eliminate parentheses
2x^2 +2x = 60 . . . . . . .subtract 1, collect terms
x^2 +x -30 = 0 . . . . . divide by 2, subtract 30
(x +6)(x -5) = 0 . . . . factor the quadratic
x = -6 or +5
The solution is x = 5.
_____
Side lengths cannot be negative. Solution values are values of x that make the factors zero. x+6=0 when x=-6, for example.
Answer:
D
Step-by-step explanation:
a) Little book LTD earning per share is $1.118 per share.
Explanation:
To calculate earning per share we will use following formula:
Now to find net income we will take help of asset turnover ratio :
NOTE : LET x BE THE NET SALES DURING THE YEAR.
Asset turnover ratio = 
1.5 × $860000 = x
x (net sales) = $1290000
Outstanding shares = 75000 shares
So Net Income = $1290000×.065
= $83850
Now Earning per share = 
Earning per share = $1.118
b) Market to Book Ratio will be 1.2 for Little Book LTD.
Explanation:
Market to Book Ratio =
Market Capitalization = $ 75000× $ 12
= $900000
So, Market To Book Ratio =
= 1.2
So , Market To Book Ratio is 1.2 for little book ltd.
Answer:
B) 243 km^3
Step-by-step explanation:
The formula for volume is Length x width x height, so we must find those values. By looking at the shape, the length is 9 km, width is 9 km, and height is 3 km, and after substituting these values in the equation, we get 9 km x 9 km x 3 km. When multiplied, it equals to 243 km^3, so the answer for the volume of the solid is B) 243 km^3.
Hope this helped somewhat! :P
Answer:
volume of cuboid=l×b×h=8×4×4=128cm³
volume of half cylinder=1/2(π(d/2)²h)=1/2×22/7×8=12.57cm²
volume of figure=128-12.57=115.43cm²
