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:
A. (x-5)(x-7)
B. It means the zeroes of the graph are at (5,0) and (7,0)
Step-by-step explanation:
A
find what + what equals -12, and multiples to 35.
List all multiples of 35.
1 35
<em>5 7</em>
- 12 is negative so that means it is -5 and -7
(x-5)(x-7)
B
The factor numbers are where the zeroes on a graph are, <u>but</u> whatever is in parenthesis, the number is opposite on a graph (e.g. if it was (x-3), the zero would be (3,0)
Answer:
D = 120° , E = 30° , F = 30°
Step-by-step explanation:
Let D = 4x
Let E&F = x
4x + x + × = 180°[angles in triangle is 180°]
6x = 180°
x = 180/6
x = 30°
E = 30°
F =30°
D =4(30°)
=120°
(Correct me if i am wrong)
Vertex at the origin and opening down → y=ax^2
Width: w=16
x=w/2→x=16/2→x=8
x=8, y=-16→y=ax^2→-16=a(8)^2→-16=a(64)→-16/64=a(64)/64→-1/4=a→a=-1/4
y=ax^2→y=-(1/4)x^2
7 m from the edge of the tunnel → x=w/2-7=8 m-7 m→x=1 m
x=1→y=-(1/4)x^2=-(1/4)(1)^2=-(1/4)(1)→y=-1/4
Vertical clearance: 16-1/4=16-0.25→Vertical clearance=15.75 m
Please, see the attached file.
Answer: Third option 15.75 m
