The area of the shape is 35 square units
<h3>How to determine the area of the shape?</h3>
The given shape is a trapezoid, and it has the following side lengths
Parallel bases = 6 and 8
Height = 5
The area of the shape is then calculated as:
A = 0.5 * (sum of parallel bases) * height
Substitute the known values in the above equation
A = 0.5 * (6 + 8) * 5
Evaluate the product
A = 35
Hence, the area of the shape is 35 square units
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Gradient is
if you have
ax+by=c
gradient (aka slope)=a/b
we have
-4x+2y=16
a=-4
b=2
gradient=-4/2=-2
y intercept is when the line crosses the y axis, also that is when x=0 so set x=0 and solve for y
-4(0)+2y=16
0+2y=16
2y=16
divide 2
x=8
y intercept=8
gradient=-2
y intercept=8 (y=8 aka point (0,8))
Remote interior points are edges that don't share a vertex or corner of a triangle with the outside edge. The proportion of the outside point approaches the total of the two remote inside edges
Answer:
Tan x = sin x / √[1 - sin²θ]
Step-by-step explanation:
We know that;
Tanx = Sinx / cosx
Squaring both side
Tan²x = Sin²x / cos²x
[cos²θ = 1 - sin²θ]
So,
Tan²x = Sin²x / [1 - sin²θ]
Taking root both side
Tan x = sin x / √[1 - sin²θ]