Find the 14 term of the following geometric sequence. 10, 20, 40, 80,
2 answers:
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Answer:
a. 85974 m²
b. 17,194,800 AED
c. 18,450 AED
Step-by-step explanation:
The sides of the quadrilateral are given as follows;
AB = 192 m
BC = 576 m
CD = 228 m
DA = 480 m
Length of a diagonal AC = 672 m
a. We note that the area of the quadrilateral consists of the area of the two triangles (ΔABC and ΔACD) formed on opposite sides of the diagonal
The semi-perimeter, s₁, of ΔABC is found as follows;
s₁ = (AB + BC + AC)/2 = (192 + 576 + 672)/2 = 1440/2 = 720
The area, A₁, of ΔABC is given as follows;
= 6912·√(55) m²
Similarly, area, A₂, of ΔACD is given as follows;
The semi-perimeter, s₂, of ΔABC is found as follows;
s₂ = (AC + CD + D)/2 = (672 + 228 + 480)/2 = 690 m
We therefore have;
Therefore, the area of the quadrilateral ABCD = A₁ + A₂ = 6912×√(55) + 1260·√(759) = 85973.71 m² ≈ 85974 m² to the nearest meter square
b. Whereby the cost of 1 meter square land = 200 AED, we have;
Total cost of the land = 200 × 85974 = 17,194,800 AED
c. Whereby the cost of fencing 1 m = 12.50 AED, we have;
Total perimeter of the land = 576 + 192 + 480 + 228 = 1,476 m
The total cost of the fencing the land = 12.5 × 1476 = 18,450 AED
XY = 17.
Because YW is a perpendicular bisector, we can say that TW and WZ are both equal to 3. It tells us that XZ is 12, so that means that XW must be 12+3 which equals 15.
It also tells us that YW is 8. So we can use the Pythagorean Theorem to find the hypotenuse of Triangle XWY. Thus,
To solve this equation, square and add both of the terms on the right like this:
And then take the square root of both sides. Your final answer should be:
XY = 17.
Because YW is a perpendicular bisector, we can say that TW and WZ are both equal to 3. It tells us that XZ is 12, so that means that XW must be 12+3 which equals 15.
It also tells us that YW is 8. So we can use the Pythagorean Theorem to find the hypotenuse of Triangle XWY. Thus,
To solve this equation, square and add both of the terms on the right like this:
And then take the square root of both sides. Your final answer should be:
XY = 17.