5/8 + 1 1/4 = x/10 solve for x
1 answer:
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Answer:
131 cm
Step-by-step explanation:
formula for surface area of pyramid is
S = (1/3)Bh
but the base ia a square, so B =
S = (1/3)
the pic shows h = 8
but we don't know x
do SohCahToa
sin60 = x/8
x = 8sin60
x = 6.92820323 or 7
plug in numbers
S = (1/3)8
S = 392/3
S = 130.6666667 or 131 cm
Given:
The bases of a trapezoid lie on the lines
To find:
The equation that contains the midsegment of the trapezoid.
Solution:
The slope intercept form of a line is
Where, m is slope and b is y-intercept.
On comparing with slope intercept form, we get
On comparing with slope intercept form, we get
The slope of parallel lines are equal and midsegment of a trapezoid is parallel to the bases. So, the slope of the bases line and the midsegment line are equal.
The y-intercept of one base is 7 and y-intercept of second base is -5. The y-intercept of the midsegment is equal to the average of y-intersects of the bases.
So, the y-intercept of the required line is 1.
Putting m=2 and b=1 in slope intercept form, we get
Therefore, the equation of line that contains the midsegment of the trapezoid is .