Answer:
33
Step-by-step explanation:
Step 1: The Diagonals of the Convex Quadilateral are Mutually Perpendicular this makes the shape a Rhombus Shape
Step 2: The formula for a area of a rhombus is the multiply the two lengths and divide by two.
In this Question we have x×y÷2 or xy/2
Step 3: The sum of the lengths of the diagonals is 12
x+y=12
y=12-x
Therefore, the area, as a function of x alone = x(12-x)/2
Step 4: To find the maximum area, let's find the derivative of the area function in respect to x and then equate to 0.
d/dx(x(12-x)/2)=0
d/dx(12x - x^2) = 0
12-2x=0
12-0=2x
12=2x, divide both sides by 2
x= 6
Step 5: Calculate the Maximum Area
The maximum area will then be 6(12 - 6)/2
= (72-6)/2 = 66/2= 33
So, the maximum area is 33.
If logs are subtracting, you can divide the brackets and if they are adding, you can multiply the brackets. Also, if the number comes before the log, it's can be Taken up as a power. so you end up with:
6log(25-x^2) - [log(5+X) + log(5-X)]
= log(25-x^2) - log(25-x^2)
= log (25-x^2/25-x^2)
= log(1)
log
Answer:
40.8 yd
Step-by-step explanation:
From SOH CAH TOA, you know that the relationship between the adjacent side (distance to tower) and opposite side (height of tower) of the relevant triangle is given by ...
... tan(11°) = (height of tower)/(distance to tower)
Multiplying by the denominator, we have ...
... height of tower = (distance to tower) × tan(11°)
... = (210 yd) × 0.19438 ≈ 40.82 yd
Rounded to the nearest 0.1 yd, the height is 40.8 yd.
Step-by-step explanation:
On a frigid, foggy Christmas Eve in London, a shrewd, mean-spirited cheapskate named Ebenezer Scrooge works meticulously in his counting-house. Outside the office creaks a little sign reading "Scrooge and Marley"--Jacob Marley, Scrooge's business partner, has died seven years previous. Inside the office, Scrooge watches over his clerk, a poor diminutive man named Bob Cratchit. The smoldering ashes in the fireplace provide little heat even for Bob's tiny room. Despite the harsh weather Scrooge refuses to pay for another lump of coal to warm the office.
Answer:
4(x + 5) = 2(10 / x) solved = - 20
Step-by-step explanation:
this may not be correct but i really think im right
