Answer:
-5^-4 isnt equivalent
5^-4 is equivalent
(5^1)^-4 is equivalent
(5^-6)^-4 isnt equivalent
Step-by-step explanation:
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Answer:
b. 55
Step-by-step explanation:
x+90+y = 180 (Being angles of a traingle)
35+ 90+y = 180
125 + y = 180
y = 180-125
Therefore , y=55
Using the relation of similar triangles...
(12 + 4)/6x = 12/(5x -2)
16/6x = 12/(5x - 2)
8/3x = 12/ (5x -2)
8(5x - 2) = 12(3x)
40x - 16 = 36x
40x - 36x = 16
4x = 16
x = 4
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(a)
Lateral surface area of prism =720cm²(Given) Perimeter x height = 720
36 x height = 720
![∴ Height\: of\: prism = \frac{720}{36} = 20\\(b) Total \:surface\: area\: of\: prism = 2 x \:base\: area\: + L.\: S.\: A\: of \:prism \\ = \frac{2 \times \sqrt{3} }{4} \times( {12}^{2} ) + 720 \\ = (72 \sqrt{3} + 720) {cm}^{2} \\ = (72 \times 1.732 + 720) {cm}^{2} \\ = 844.704 \frac{}{} {cm}^{2}](https://tex.z-dn.net/?f=%20%E2%88%B4%20Height%5C%3A%20of%5C%3A%20prism%20%3D%20%5Cfrac%7B720%7D%7B36%7D%20%3D%2020%5C%5C%28b%29%20Total%20%5C%3Asurface%5C%3A%20area%5C%3A%20of%5C%3A%20prism%20%3D%202%20x%20%5C%3Abase%5C%3A%20area%5C%3A%20%2B%20L.%5C%3A%20S.%5C%3A%20A%5C%3A%20of%20%5C%3Aprism%20%5C%5C%20%3D%20%20%5Cfrac%7B2%20%5Ctimes%20%20%5Csqrt%7B3%7D%20%7D%7B4%7D%20%20%5Ctimes%28%20%20%7B12%7D%5E%7B2%7D%20%29%20%2B%20720%20%5C%5C%20%20%3D%20%2872%20%5Csqrt%7B3%7D%20%20%2B%20720%29%20%7Bcm%7D%5E%7B2%7D%20%5C%5C%20%20%3D%20%2872%20%5Ctimes%201.732%20%2B%20720%29%20%7Bcm%7D%5E%7B2%7D%20%20%5C%5C%20%20%3D%20844.704%20%5Cfrac%7B%7D%7B%7D%20%20%7Bcm%7D%5E%7B2%7D%20)