Answer:
Option D
Step-by-step explanation:
From the picture attached,
In the parallelogram ABCD,
Length of diagonals AC and BD are equal.
By the property,
"If the lengths of the diagonals of a parallelogram are equal, parallelogram will be a rectangle".
Therefore ABCD is a rectangle.
That means all interior angles of the given rectangle will be 90°.
Now we apply Pythagoras theorem in right triangle ΔABC,
AC² = AB² + BC²
(22)² = (12)² + (BC)²
484 - 144 = (BC)²
BC = √340
BC = 18.44 inches
Dimensions of the given box are 12 inches by 18.44 inches.
Dimensions of the rectangular tray is 11.5 inches by 18 inches.
Since, dimensions of the box are larger than the dimensions of the tray, tray can be adjusted in the box.
Therefore, Option D will be the answer.
Step-by-step explanation:
Let's get our relevant base equations listed out:
d = 2r
area = pi*r²
c = πd
Thus, d=2*5m = 10m, c=π*10m=10π m, and area = 25m²*π
Feel free to ask further questions!
About 224.7 I think. I hope this helps
Answer : A
We need to simplify the given expression
Lets factor numerator first
=(2x+1)(x-3)
=(x+5)(x+3)
Now we factor the denominator
=(x+5)(x-4)
=(2x+1)(x-4)
Now we simplify it

Now cancel out same factors. so we left with

Now multiply the factors

Answer:
subtract -3
Step-by-step explanation:
–3 + 4x = 9
Add 3 to each side
This is the same as subtracting -3
-3 + 4x - (-3) = 9 - (-3)
4x = 9 +3
4x = 12