Answer:
The correct option is B.
Step-by-step explanation:
The given vertices are (-4,2),(1,2),(1,-3) and (-4,-3).
Plot these point on a coordinate plate. From the graph it is noticed that the given quadrilateral is a square.
Distance formula:
Use distance formula to find the side length.
Since both consecutive sides are equal therefore it is a square.
Area of a square is
Where, a is side length.
The side length of the square is 5. So, area of ABCD is
Therefore the area of quadrilateral is 25 units square. Option B is correct.
Answer:
x<《-4,12》
Step-by-step explanation:
inequalities:
x-4<8, x-4>0
-(x-4)<8, x-4-<0
intersections:
x<12, x>4
x>-4, x<4
x<[4,12》
x<《-4,4》
x<《-4,12》
Hello!
Explanation:
↓↓↓↓↓↓↓↓↓↓↓↓↓
First you had to subtract by 2 from both sides of the equation.
Simplify
Then you divide by 3 from both sides of the equation.
Simplify it should be the correct answer.
Answer⇒⇒⇒⇒⇒x=88/3
Hope this helps!
Thank you for posting your question at here on Brainly.
Have a great day!
-Charlie
Answer:
a) d = 36 ft. ( using Pithagoras´theorem )
b) d = 36 ft ( Using ( function sin ) trigonometry
Step-by-step explanation:
a) Using Pythagoras´Theorem:
Diagonal (d) is the hypothenuse of a right triangle of side 25 feet, and according to Pythagoras´Theorem in a right triangle.
d² = a² + b²
In this particular case a = b = 25 feet then
d² = (25)² + ( 25)²
d = √ 2 * (25)²
d = √2 * 25
d = 1,414*25
d = 35,35
d = 36 ft.
b) Using trigonometry:
We know that sin 45° = cos 45° = √2 / 2
In a right triangle
sin α = opposite side / hypothenuse (d)
sin 45° = √2 / 2 = 25/ d
√2 *d = 2* 25
d = 50/√2
d = 50 / 1,414
d = 35,36
d = 36 ft
