Triangle MNO is an equilateral triangle with sides measuring units. What is the height of the triangle? a) 12 units b) 24 units
c) 36 units d) 72 units
2 answers:
Answer:
The height of the equilateral triangle is 24 units
Step-by-step explanation:
In the question above, the unit of the side of the equilateral triangle is not given. If the complete question is:
Triangle MNO is an equilateral triangle with sides measuring 16 square root of 3 units, then the length of each side is 16√3 units.
To find the height of the triangle, we use Pythagoras theorem
MP^2 + PO^2 = MO^2
Let MP^2 be x
x^2 + {(16√3)/2}^2 = (16√3)^2
X^2 + (256*3)/4 = 256*3
4x^2 + 768 = 768* 4
4x^2 + 768 = 3072
4x^2 = 3072-768
4x^2 = 2304
X^2 = 2304/4
X^2 = 576
x= √576
x = 24 units
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The missing options are:
C. In the xy plane, point (20, 5,000) is on the graph y = f(x).
D. In the xy plane, point (5,000,20) is on the graph y = f(x)
Answer:
C. In the xy plane, point (20, 5,000) is on the graph y = f(x).
Step-by-step explanation:
Given
Represent amount with y and weeks with x
So, we have:
x = 20 when y = 5000
Required
Select 2 correct options
A point on a graph can be illustrated using
So, when x = 20 and y = 5000 ----- given
implies that:
We got by substituting 20 for x and 5000 for y
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<em>From the list of given options, the above represented of (x,y) is illustrated in option C</em>
Represent (x,y) as a function, we have:
Substitute values for x and y
Reorder
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The above is illustrated in option A
<em>Hence, A and C answers the question</em>