jc2025
21.03.2020 •
Mathematics
Please help me thanks :)
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Ответ:
728.72 inches^2
Step-by-step explanation:
So to start off we have to find the area of the pentagon.
Again I can’t put the formula for area so, yeah.
So it’s area is 139.36 inches^2.
Then for the other pentagon it would also be 139.36 inches^2.
So adding them up it would be 278.72 inches^2.
Next for the rectangles.
The two side lenghts are 9 and 10.
So 9 times 10 is 90 and since there is 5 sides 90 times 5 is 450 inches^2.
So when you add 450 and 278.72 you would get 728.72 inches^2.
Ответ:
(1) Square; triangle or pentagon
(2) Originally 146.6 m, now 139 m
(3) (a) h = 150 m; (b) l = 240 m; (c) base = square;
(d) lateral area = 92 205 m²; (e) slope = 5/4
Step-by-step explanation:
(1) Base
The pyramids at Giza have square bases. Those are the most common, but the bases can have any number of shapes, e.g., triangles or pentagons.
(2) Size
The Great Pyramid was originally 146.6 m tall with a base that was 230.4 m on each side. It is now only 139 m tall, because the limestone casings have fallen away.
It would be possible to build a bigger pyramid today, because modern machinery can easily handle the massive stones.
(3) A larger pyramid
A larger modern pyramid might be 150 m tall and have a square base 240 m on each side.
(a) Height = 150 m
(b) Length = 240 m
(c) Base shape = square
(d) Surface Area
The square pyramid has four triangular faces.
(i) Side height
We can use Pythagoras' Theorem to calculate the side height s of the pyramid:
s² = 120² + 150² = 36 900 m²
s = √36900 = 192.1 m
(ii) Lateral area
The pyramid has four triangular faces.
Each triangle has a base of 240 m and a height of 192.1 m.
The formula for the area of a triangle is
A = ½bh
So. the area of the four triangles is
A = 4 × ½bh = 2bh = 2 × 240 m × 192.1 m = 92 205 m²
(e) Slope of pyramid
slope = Δy/Δx = 150/120 = 5/4