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:options B and D are the correct answers.
Step-by-step explanation:
The cost for an upcoming field trip is $30 per student. The cost of the field trip C, in dollars, is a function of the number of students x.
The function is defined by
C(x) = 30x
The values of x must be whole numbers. Therefore, the possible outputs for the defined function would be
B. 30 which means the cost for only one student.
D. 90 which means the total cost for 3 students.
Answer
Find out the how many tiles are in each section .
To prove
Let us assume that the number of tiles are in section are be x.
As given
A mosaic at the art museum is divided into 6 sections that each contain about the same number of tiles.
There are 2,889 tiles total in the mosiac .
Than the equation becomes
6 × x = 2889
x = 481.5
Therefore the total number of tiles in each sections are 481.5 .
310, since 4 is not up to 5, then 2 round off to 0
