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: 20 i think srry if its wrong
Step-by-step explanation:
Answer:
x < 3
Step-by-step explanation:
Solve it like a normal equation
Isolate the variable along with its constant
9x - 6 + 6< 21 + 6
9x < 27
Isolate the variable its self
9x/9 < 27/9
x < 3
<h2>
REMEMBER : ONLY FLIP THE INEQUALITY SIGN WHEN <u>
MULTIPLYING</u>
OR <u>
DIVIDING</u>
BY A <u>
NEGATIVE NUMBER</u></h2>
Answer:
$40
Step-by-step explanation:
Divide.
$800 / 20 hrs.
= $40
Answer:
circle question: 69.66
the other question: 66.8
Step-by-step explanation:
For the circle question:
the circle is inscribed in the square, so the diameter of the circle = side of the square
so we need to find the area of square and circle
then do this
square area - circle area
square area(side×side) = 324
circle area(pi×r^2)≈254.469
so shaded region = 69.66
__________
the other question:
we need to find the area of triangle and the area of the rectangle and add them together
A of Triangle (1/2×base×hight) = 34.32
A of rectangle (width × length) = 31.92
add them, so the answer will be = 66.8