Answer:
16√3 cm²
Step-by-step explanation:
The perimeter of a triangle is the sum of its all three sides. Since this is an equilateral triangle, all sides are equal.
Let's consider one side of the triangle to be 'x'
Givent that, the perimeter is 24cm,
The equation should be x + x + x = 24
⇒3x = 24
∴ x = 8 cm
To find the area of the triangle, we need to find the height, and for that, we can use trigonometry.
Since it is an equilateral triangle, all angles are exact 60°.
let's draw a line and mark it as 'h'.
we can use sine formula to find out the opposite i.e. h
sin∅ = opposite ÷ hypotaneous
sin 60° = h ÷ 8
h = 8 sin 60°
h= 4√3
Now, let's find the area
Area = 1/2 × base × height
Area = 1/2 × 8 × 4√3
area= 16√3 cm²
Answer:
a.) 9, -9
b.) 2(sqrt)15, -2(sqrt)15
c.) 4, -2+2i(sqrt)3, -2-2i(sqrt)3
d.) 3(sqrt)75
(some of the numbers are placed differently than I wrote them so here are screenshots- pls look at them rather than what I wrote ;w;)
A quadrilateral is a kite if the diagonals are:
i) perpendicular
ii) bisect each other
iii) not equal ( together with conditions i and ii this would make the quadrilateral a square)
Another definition of the kite is :
a quadrilateral with 2 pairs of equal adjacent sides.
Let's check the choices one by one:
A. <span>∠M is a right angle and MK bisects ∠LMJ.
according to these, ML and MJ may well be not equal...
</span><span>B. LM = JM = 3 and JK = LK = √17.
</span>
this makes the quadrilateral a kite.
<span>C. MK intersects LJ at its midpoint
</span>
if they are not perpendicular, the quadrilateral is not a kite.
<span>D. The slope of MK is –1 and the slope of LJ is 1.
this only means that MK and LJ are perpendicular, but not whether they bisect each other,
Answer: only B</span>
Answer:
Option D
Step-by-step explanation:
Set of data in terms of ordered pairs represents a function when output value of each input value is different.
Option A
Since, for every value of x there is a different value of y, it's a function.
Option B
In each ordered pair, for every value of x there is a different value of y.
Therefore, it's a function.
Option C
From the given graph, for every value of x there is a different value of y.
Therefore, it's a function.
Option D
From the given set of ordered pairs we find for x = 1 there are two values of y (y = 4 and 3).
Therefore, the given set of ordered pairs doesn't represent a function.
Option D is the answer.
