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.
Answer:
10 days
Step-by-step explanation:
We are given that
Each person takes 56 days
7 painters take time=
painter days
In first 6 days , 7 painters take time=
painter days
After 6 days , 28 volunteers are added then,
Total persons=28+7=35
Now, remaining days=392-42=350
Therefore, number of days are required before the painting of the king of rock 'n' roll is completed=
days
Hence,10 more days are required before the painting of the king of rock 'n' roll is completed
Answer:
The diameter of the hemisphere is 20.4 centimeters.
Step-by-step explanation:
The volume of an hemisphere is given by:
In this problem, we have that:
So
![r = \sqrt[3]{\frac{3*2233}{2\pi}}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B3%2A2233%7D%7B2%5Cpi%7D%7D)
The radius is 10.2 centimeters.
The diameter is double the radius. So:
2*10.2 = 20.4
The diameter of the hemisphere is 20.4 centimeters.
72 people stayed, because 96 ÷ 4 = 24, and 24 * 3 is 72.
You are able to pay expensive dues forward, such as houses, cars, and other payments that you wouldn't be able to pay in full on the spot.
