Answer:
<u>-21844</u>
Step-by-step explanation:
<u>Finding n</u>
- -16384 = -4(4)ⁿ⁻¹
- 4ⁿ⁻¹ = 4096
- 4ⁿ⁻¹ = 64²
- 4ⁿ⁻¹ = (8²)²
- 4ⁿ⁻¹ = (4³)²
- n - 1 = 6
- n = 7
<u>Finding The Sum</u>
- S₇ = -4(4⁷ - 1) / 4 - 1
- S₇ = -4 (16383) / 3
- S₇ = -65536/3
- S₇ = <u>-21844</u>
Answer:
A. 806.5 in²
Step-by-step explanation:
The figure given is a combination of a rectangle, a trapezoid and a triangle.
The formulas for the areas of each figure:
Rectangle: length x width
Trapezoid:
, where
and
are the lengths of each base and h is the height of the figure
Triangle: 1/2 bh, b = base and h = height
For each of the figures given:
rectangle: 16 x 9 = 144 in²
trapezoid:
= 352.5 in²
triangle: 1/2(31*20) = 310 in²
310 + 144 + 352.5 = 806.5 in²
Answer:
x should be 55
Step-by-step explanation:
the acute angle is 55 and we know that the whole horizontal is 180 so calculate 180-55 to find the obtuse angle which is 125. Then subtract 70 from that to isolate for x and you get 55.