0.36363636363 is the answer
Answer:
49b² - 36
Step-by-step explanation:
Find the factors of 49 & 36:
49 = 1, 7, 49
36 = 1, 2, 6, 18, 36
As you can tell, there are no common factors (1 does not count), therefore, the expression given is already in most factored form.
49b² - 36 is your answer.
~
Answer:
Given
Step-by-step explanation:
Given that: △RST ~ △VWX, TU is the altitude of △RST, and XY is the altitude of △VWX.
Comparing △RST and △VWX;
TU ~ XY (given altitudes of the triangles)
<TUS = <XYW (all right angles are congruent)
<UTS ≅ <YXW (angle property of similar triangles)
Thus;
ΔTUS ≅ ΔXYW (congruent property of similar triangles)
<UTS + <TUS + < UST = <YXW + <XTW + <XWY =
(sum of angles in a triangle)
Therefore by Angle-Angle-Side (AAS), △RST ~ △VWX
So that:
=
(corresponding side length proportion)
The area of a trapezoid is
A = (1/2) h (b1 + b2)
where
h is the height
b1 is length of base 1
b2 is the length of base 2
We are given with the area and assuming that the trapezoid is isosceles, the length of base 1 is
b1 = 4 ft
If the height of the trapezoid is 4.5 feet, it ensures that the shed will fit inside the trapezoid patch of land. Therefore, the height of the trapezoid is 4.5 feet.
Answer:
C. 12/15
Step-by-step explanation:
2/3, 6/9, and 18/27 all simplify to 2/3. 12/15 does not.