Answer:
= 8sqrt2
Step-by-step explanation:
Area of a trapezium is given by the formula;
1/2(a+b)h
;
Where a and b are the parallel sides and h is the perpendicular height.
a = 3 cm, b= 5 cm
To get; h, we use the Pythagoras theorem;
h² = 3² - 1²
h² = 8
h = √8
= √4√2
= 2√2
Thus;
Area = 1/2(3 +5) 2√2
= 1/2 ×8 × 2√2
<u> = 8√2 cm² or 8sqrt2 cm²</u>
Answer:
(D) is the right answer
Step-by-step explanation:
The cross section will be a quadrilateral when the intersecting plane forms a closed four sided polygon along with the pyramid.
A triangular pyramid has four faces. So, to form four straight lines and therefore a quadrilateral, the intersecting plane must intersect all four faces.
A. In this case the plane will only intersect one side of the pyramid so four sided polygon can't be formed.
B. It will only intersect the two sides of the pyramid but the cross section will not be a quadrilateral.
C. In this case the plane will intersect three sides of the pyramid so the cross section will be a triangle not a quadrilateral.
D. In this case the plane intersects all the four faces forming a closed polygon of 4 straight lines so the cross section will be a quadrilateral.
So, the Correct Option is (D) : When the plane intersects the base and all three lateral faces of the pyramid, the cross section of the triangular pyramid will be a quadrilateral.
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Answer: The third term is -14
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Explanation:
First term = A(1) = 20, which is given
Second term
A(n) = A(n-1) - 17
A(2) = A(2-1) - 17
A(2) = A(1) - 17 .... note: second term = (first term) - 17
A(2) = 20 - 17
A(2) = 3
Third term
A(n) = A(n-1) - 17
A(3) = A(3-1) - 17
A(3) = A(2) - 17 ... note: third term = (second term) - 17
A(3) = 3 - 17
A(3) = -14
