Step-by-step explanation:
it is not important that the triangle is right-angled.
but the distance between each pair of points is calculated via Pythagoras
c² = a² + b²
with c being the Hypotenuse (baseline opposite of the 90° angle) = distance between the end points, and a and b are the legs (= the x and y coordinate differences of the 2 end points) of the virtual right-angled triangles between each pair of points.
so,
AB² = (6 - -3)² + (-4 - -4)² = 9² + 0² = 81
AB = 9 ft
BC² = (6 - 6)² + (8 - -4)² = 0² + 12² = 144
BC = 12 ft
and now for AC, which is because of the special case of how the main triangle is placed and oriented, the same calculation as with Pythagoras for the main right-angled triangle. but I keep showing you the point distance calculation, because this is what you will need in the future for more general triangle or other shapes calculations :
AC² = (6 - -3)² + (8 - - 4)² = 9² + 12² = 81 + 144 = 225
AC = 15 ft
so, Nasir will need
9 + 12 + 15 = 36 ft
of fencing.
1/2n + 9 = 27
- 9 - 9
----------------------
1/2n = 18
------ --------
1/2 1/2n
n = 36
The polynomial would be 2x+5.
We bring down the first number inside the box, 2, unchanged.
_______
-1| 2 7 5
_______
2
Now we multiply that 2 by the number outside, -1:
_______
-1| 2 7 5
<u> -2
</u> 2
Now we add the two numbers in the middle column:
________
-1| 2 7 5
<u> -2 </u>
2 5
Multiply the 5 we brought down by the -1:
________
-1| 2 7 5
<u> -2 -5
</u> 2 5
Add the numbers in the last column:
________
-1| 2 7 5
<u> -2 -5
</u> 2 5 0
The 3 numbers under the box represent the coefficients of x² and x, as well as the constant. When we finish, we no longer have an x², but start at the next level down, which would be x. 2 would be the coefficient of x and 5 would be the constant, with 0 remainder.
Answer:
Height = 5 ft
Short base = 10 ft
Long base = 14 ft
Step-by-step explanation:
Let h = height, a = short base, b = long base.
From the question,
a = 2h
b = a + 4 = 2h + 4
The area of the trapezoid is given by 
. Thus,
or 
or 
We discard the negative value of h since it is a measurement and cannot be negative.
Answer:
the amount of cereal in a box
the amount of milk in a milk carton
the amount of space inside a van
